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/Times-Bold rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%BeginPaperSize: Letter letter %%EndPaperSize %%EndSetup %%Page: 1 1 1 0 bop 450 93 3000 34 v FC 666 342 a(Distan) n(ce) 36 b(metr) n(ic) g(lear) n(n) n(ing,) g(with) e(applicatio) n(n) 890 508 y(to) h(clusteri) n(ng) h(with) f(side-i) n(nf) l(ormatio) n(n) p 450 691 3000 9 v FB 801 973 a(Eric) 21 b(P) -9 b(.) 20 b(Xing,) g(Andr) o(ew) g(Y) -8 b(.) 21 b(Ng,) f(Michael) h(I.) g(J) o (o) n(rdan) g(and) f(Stuart) g(Russell) p FA 1383 1064 a(Uni) n(v) o(er) n(sity) h(of) f(California,) f(Berk) o(ele) o(y) 1611 1155 y(Berk) o(ele) o(y) -5 b(,) 19 b(CA) i(9472) n(0) p Fz 887 1247 a(f) p Fy(epxing,a) n(ng,jordan,) n(russell) p Fz(g) p Fy(@) n(cs.berkeley) n(.edu) p Fx 1765 1501 a(Abstract) p FA 749 1695 a(Man) o(y) i(algor) n(ithms) h(rely) g(critically) g(on) f (being) g(gi) n(v) o(en) g(a) h(good) f(metric) g(o) o(v) o(er) g (their) 749 1787 y(inpu) n(ts.) 60 b(F) o(or) 30 b(instance,) k(data) d (can) 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n(ithm) g (that,) g(gi) n(v) o(en) f(e) o(xa) n(mples) h(of) g(similar) g(\(and) n (,) 749 2517 y(if) f(desired,) f(dissimilar\)) h(pairs) g(of) g(points) g(in) p Fw 20 w(R) p Fv 2112 2487 a(n) p FA 2163 2517 a(,) g(learns) g(a) h(distance) e(metric) h(o) o(v) o(e) n(r) p Fw 749 2608 a(R) p Fv 803 2578 a(n) p FA 873 2608 a(that) e(respects) g (these) g(relation) n(ships.) 25 b(Our) 17 b(method) g(is) i(based) e (on) h(posing) f(met-) 749 2700 y(ric) 26 b(learnin) n(g) g(as) g(a) g (con) m(v) m(e) o(x) g(optim) n(ization) g(pro) n(blem,) h(which) e (allo) n(ws) h(us) g(to) f(gi) n(v) o(e) 749 2791 y(ef) n(\002cient,) 20 b(local-o) n(ptima-fre) n(e) h(algorithm) n(s.) 27 b(W) -7 b(e) 22 b(also) f(demo) n(nstrate) g(empirica) n(lly) 749 2882 y(that) 26 b(the) g(learned) f(metrics) h(can) f(be) h(used) g(to) g(signi\002cantly) f(impro) m(v) o(e) h(clustering) 749 2974 y(perfo) n(rmance) n(.) p Fx 450 3271 a(1) 99 b(Intr) n(odu) r (ction) p FA 450 3460 a(The) 27 b(perfo) n(rmance) g(of) g(man) o(y) f (learning) g(and) h(dataminin) n(g) h(algor) n(ithms) g(depen) n(d) g (critically) f(on) g(their) 450 3551 y(being) 21 b(gi) n(v) o(en) g(a) h (good) f(metric) g(o) o(v) o(er) g(the) h(inpu) n(t) h(space.) 30 b(F) o(or) 22 b(instance,) f(K-means,) h(nearest-n) n(eighbo) n(rs) 450 3642 y(classi\002ers) 17 b(and) f(k) o(ern) n(el) h(algorith) n(ms) g (such) f(as) h(SVMs) g(all) g(need) e(to) h(be) g(gi) n(v) o(en) f (good) g(metrics) h(that) h(re\003ect) 450 3734 y(reasonab) n(ly) 22 b(well) g(the) f(impor) n(tant) h(relation) n(ships) g(between) f(the) g (data.) 29 b(This) 21 b(prob) n(lem) h(is) g(particular) n(ly) 450 3825 y(acute) d(in) g(unsupe) n(rvised) g(settings) h(such) f(as) h (clusterin) n(g,) g(and) e(is) i(related) f(to) g(the) h(peren) n(nial) f(proble) n(m) h(of) 450 3916 y(there) h(often) f(being) g(no) h (\223righ) n(t\224) h(answer) e(for) h(clustering) n(:) 28 b(If) 21 b(three) f(algorithm) n(s) i(are) f(used) g(to) g(cluster) g (a) 450 4008 y(set) i(of) e(docum) n(ents,) i(and) e(one) g(clusters) h (accordin) n(g) g(to) g(the) g(author) n(ship,) g(anothe) n(r) h (clusters) f(accor) n(ding) 450 4099 y(to) i(topic,) f(and) g(a) h (third) e(clusters) i(accord) n(ing) f(to) h(writing) e(style,) j(who) e (is) h(to) f(say) h(which) f(is) h(the) f(\223right\224) 450 4190 y(answer?) h(W) -7 b(orse,) 19 b(if) g(an) f(algor) n(ithm) h (were) f(to) g(ha) n(v) o(e) g(clustered) f(by) h(topic,) g(and) g(if) g (we) h(instead) f(w) o(anted) g(it) 450 4282 y(to) i(cluster) f(by) h (writing) f(style,) h(there) f(are) h(relati) n(v) o(e) n(ly) g(fe) n (w) g(systematic) f(mechanisms) g(for) g(us) h(to) g(con) m(v) m(e) o (y) 450 4373 y(this) h(to) f(a) h(clustering) e(algor) n(ithm,) h(and) g (we) g(are) h(often) e(left) h(tweaking) f(distance) h(metrics) g(by) g (hand.) 450 4493 y(In) 28 b(this) i(pape) n(r) m(,) h(we) e(are) g (interested) f(in) g(the) h(follo) n(win) n(g) g(prob) n(lem:) 43 b(Supp) n(ose) 29 b(a) g(user) g(indicates) f(that) 450 4585 y(certain) 22 b(points) h(in) g(an) g(input) f(space) h(\(say) -5 b(,) p Fw 23 w(R) p Fv 1750 4555 a(n) p FA 1801 4585 a(\)) 24 b(are) f(con) n(sidered) g(by) f(them) h(to) g(be) g (\223similar) -5 b(.) f(\224) 34 b(Can) 23 b(we) 450 4676 y(automa) n(tically) 18 b(learn) f(a) h(distance) f(metric) h(o) o (v) m(er) p Fw 18 w(R) p Fv 1897 4646 a(n) p FA 1966 4676 a(that) g(respects) f(these) h(relationsh) n(ips,) h(i.e.,) e(one) g(that) 450 4767 y(assigns) i(small) g(distances) f(between) g(the) h (similar) f(pairs?) 25 b(F) o(or) 18 b(instance,) g(in) h(the) f(docum) n(ents) h(e) o(xamp) n(le,) 450 4859 y(we) k(migh) n(t) g(hope) e (that,) i(by) e(gi) n(ving) g(it) i(pairs) f(of) g(docu) n(ments) g (judged) f(to) h(be) h(written) e(in) i(similar) f(styles,) 450 4950 y(it) f(w) o(ould) e(learn) h(to) g(recogn) n(ize) h(the) f (critical) g(features) g(for) f(determinin) n(g) h(style.) p 90 rotate dyy eop %%Page: 2 2 2 1 bop FA 450 83 a(One) 31 b(impo) n(rtant) g(f) o(amily) f(of) h (algor) n(ithms) g(that) g(\(implicitly) n(\)) g(learn) g(metrics) f (are) h(the) g(unsup) n(ervised) 450 174 y(ones) 24 b(that) g(tak) o(e) g(an) f(input) g(dataset,) i(and) e(\002nd) h(an) g(embed) n(ding) f (of) h(it) h(in) f(some) f(space.) 36 b(This) 24 b(includes) 450 266 y(algorith) n(ms) i(such) f(as) h(Multidim) n(ensional) f(Scaling) f (\(MDS\)) h([2],) h(and) e(Locally) h(Linear) f(Embed) n(ding) 450 357 y(\(LLE\)) 16 b([9) o(].) 24 b(One) 17 b(feature) f(distinguish) n (ing) h(our) f(w) o(ork) g(from) g(these) h(is) h(that) f(we) h(will) f (learn) g(a) g(full) g(metric) p Fu 450 448 a(d) p Ft 28 w(:) p Fw 27 w(R) p Fv 625 418 a(n) p Fz 696 448 a(\002) p Fw 20 w(R) p Fv 835 418 a(n) p Ft 913 448 a(:) p Fz(7!) p Fw 28 w(R) p FA 29 w(o) o(v) o(e) n(r) 23 b(the) g(inpu) n(t) g(space,) g(rather) f(than) g(focu) n(sing) h(only) e(on) i(\(\002nd) n(ing) g (an) f(embed) n(-) 450 540 y(ding) g(for\)) g(the) g(points) h(in) g (the) f(training) g(set.) 33 b(Our) 23 b(learned) f(metric) g(thus) h (gene) n(ralizes) g(more) f(easily) h(to) 450 631 y(pre) n(v) n(iously) 17 b(unseen) f(data.) 24 b(More) 17 b(impo) n(rtantly) -5 b(,) 17 b(metho) n(ds) h(such) f(as) h(LLE) f(and) f(MDS) i(also) f (suf) n(fer) g(fro) n(m) 450 722 y(the) k(\223no) f(righ) n(t) h (answer\224) f(problem) n(:) 27 b(F) o(or) 20 b(e) o(xam) n(ple,) h(if) g(MDS) g(\002nds) f(an) h(embe) n(dding) f(that) g(f) o(ails) h(to) g (cap-) 450 814 y(ture) d(the) h(structure) f(impor) n(tant) h(to) g(a) g (user) m(,) g(it) g(is) h(unclea) n(r) f(what) g(systematic) g(corre) n (cti) n(v) o(e) g(actions) f(w) o(ould) 450 905 y(be) i(a) n(v) n (ailable.) 26 b(\(Similar) 20 b(comm) n(ents) h(also) g(apply) e(to) i (Principal) f(Compo) n(nents) g(Analysis) h(\(PCA\)) g([7) o(].\)) 450 996 y(As) 28 b(in) g(our) f(moti) n(v) n(atin) n(g) h(clustering) f(e) o (xam) n(ple,) j(the) d(method) n(s) i(we) f(prop) n(ose) g(can) f(also) h(be) g(used) f(in) h(a) 450 1088 y(pre-p) n(rocessing) 20 b(step) g(to) g(help) g(an) o(y) f(of) h(these) h(unsup) n(ervised) f (algor) n(ithms) h(to) f(\002nd) g(better) g(solution) n(s.) 450 1208 y(In) 27 b(the) g(superv) n(ised) g(learning) f(setting,) j(for) d (instance) h(near) n(est) h(neighb) n(or) f(classi\002cation,) i(num) n (erous) 450 1299 y(attempts) 21 b(ha) n(v) o(e) f(been) h(made) f(to) i (de\002ne) e(or) h(learn) g(either) f(local) h(or) g(globa) n(l) h (metrics) f(for) g(classi\002cation.) 450 1391 y(In) i(these) h(pro) n (blems,) g(a) g(clear) n(-cut,) f(supervised) f(criterion\227cla) n (ssi\002cation) i(error) l(\227is) h(a) n(v) n(ailable) e(and) 450 1482 y(can) i(be) g(optimized) f(for) -5 b(.) 39 b(\(See) 26 b(also) f([11) o(],) h(for) e(a) i(dif) n(fer) n(ent) f(w) o(ay) h(of) f (super) n(vising) g(clustering) n(.\)) 40 b(This) 450 1573 y(literature) 31 b(is) h(too) g(wide) f(to) h(surv) o(e) m(y) g (here,) h(b) n(ut) f(some) f(rele) n(v) n(ant) g(e) o(xam) n(ples) h (include) f([10) n(,) h(5,) g(3) o(,) g(6],) 450 1665 y(and) g([1) o(]) g(also) h(gi) n(v) o(e) n(s) h(a) e(good) f(o) o(v) o (e) n(rvie) n(w) h(of) g(some) g(of) g(this) h(w) o(ork.) 60 b(While) 33 b(these) f(method) n(s) h(often) 450 1756 y(learn) f(goo) n(d) h(metrics) p Fs 32 w(for) f(classi\002cation) p FA(,) i(it) f(is) g(less) h(clear) e(whether) f(the) o(y) g(can) i(be) f (used) g(to) g(learn) 450 1847 y(good) n(,) 19 b(gener) n(al) g (metrics) f(for) p Fs 18 w(other) p FA 20 w(algorith) n(ms) h(such) f (as) h(K-mean) n(s,) h(particu) n(larly) e(if) h(the) f(infor) n (mation) 450 1939 y(a) n(v) n(ailable) 32 b(is) h(less) h(structur) n (ed) e(than) g(the) h(traditio) n(nal,) j(hom) n(ogene) n(ous) d (trainin) n(g) g(sets) g(e) o(xpected) e(by) 450 2030 y(them.) 450 2150 y(In) 26 b(the) h(con) n(te) o(xt) g(of) f (clustering) n(,) j(a) d(promising) f(appro) n(ach) h(w) o(as) i(recen) n(tly) f(prop) n(osed) f(by) h(W) -7 b(agstaf) n(f) 26 b(et) 450 2242 y(al.) 21 b([13) o(]) g(for) f(clustering) g(with) h (similarity) g(infor) n(mation.) 27 b(If) 20 b(told) h(that) g(certain) f(pairs) h(are) g(\223similar\224) g(or) 450 2333 y(\223dissimilar) m (,) -6 b(\224) 23 b(the) o(y) f(search) g(for) g(a) h(clustering) f (that) g(puts) h(the) g(similar) g(pairs) f(into) h(the) f(same,) h (and) f(dis-) 450 2424 y(similar) h(pairs) f(into) g(dif) n(fer) n (ent,) h(clusters.) 32 b(This) 22 b(gi) n(v) o(es) g(a) h(w) o(ay) f (of) g(using) g(similarity) h(side-inf) n(ormatio) n(n) 450 2516 y(to) f(\002nd) f(clusters) h(that) g(re\003ect) f(a) i(user') -5 b(s) 21 b(notion) g(of) g(meaning) n(ful) h(clusters.) 29 b(But) 22 b(similar) g(to) g(MDS) g(and) 450 2607 y(LLE,) c(the) g (\(\223instance-le) n(v) m(el\224\)) g(constraints) g(that) h(the) o(y) e(use) i(do) f(not) g(genera) n(lize) h(to) g(pre) n(v) n(iously) f (unseen) 450 2698 y(data) 25 b(whose) f(similarity/dissimilarity) g(to) h(the) g(training) f(set) i(is) f(not) g(kno) n(w) n(n.) 40 b(W) -7 b(e) 26 b(will) f(later) g(discuss) 450 2790 y(this) d(w) o(ork) g(in) g(mor) n(e) h(detail,) f(and) f(also) h(e) o (xamin) n(e) h(the) f(ef) n(fec) n(ts) h(of) f(using) f(the) h(method) n (s) h(we) f(prop) n(ose) g(in) 450 2881 y(conju) n(nction) e(with) g (these) h(metho) n(ds.) p Fx 450 3108 a(2) 99 b(Lear) o(ning) 26 b(Distance) f(Metrics) p FA 450 3289 a(Suppo) n(se) d(we) f(ha) n(v) o (e) f(some) g(set) h(of) g(poin) n(ts) p Fz 22 w(f) p Fu(x) p Fv 1759 3301 a(i) p Fz 1787 3289 a(g) p Fv 1829 3259 a(m) 1829 3311 y(i) p Fr(=1) p Fz 1964 3289 a(\022) p Fw 23 w(R) p Fv 2106 3259 a(n) p FA 2157 3289 a(,) g(and) f(are) h(gi) n (v) o(e) n(n) g(inform) n(ation) f(that) h(certain) 450 3381 y(pairs) f(of) g(them) g(are) g(\223similar\224:) p Fu 1214 3504 a(S) p Ft 28 w(:) 106 b(\() p Fu(x) p Fv 1501 3516 a(i) p Fu 1529 3504 a(;) 14 b(x) p Fv 1613 3516 a(j) p Ft 1649 3504 a(\)) p Fz 23 w(2) 23 b(S) p FA 90 w(if) p Fu 20 w(x) p Fv 2040 3516 a(i) p FA 2089 3504 a(and) p Fu 20 w(x) p Fv 2277 3516 a(j) p FA 2333 3504 a(are) d(similar) 667 b(\(1\)) 450 3627 y(Ho) n(w) 31 b(can) h(we) f(learn) g(a) h(distance) f(metric) p Fu 31 w(d) p Ft(\() p Fu(x;) 14 b(y) p Ft 3 w(\)) p FA 33 w(between) 31 b(points) p Fu 31 w(x) p FA 32 w(and) p Fu 31 w(y) p FA 35 w(that) h(respects) f(this;) 450 3718 y(speci\002cally) -5 b(,) 19 b(so) i(that) f(\223similar\224) g(points) g(end) g(up) f(close) i(to) f(each) g(other?) 450 3838 y(Consider) g(learnin) n(g) g(a) h(distance) f(metric) g(of) g(the) g (form) p Fu 984 4004 a(d) p Ft(\() p Fu(x;) 14 b(y) p Ft 3 w(\)) 24 b(=) p Fu 23 w(d) p Fv 1374 4016 a(A) p Ft 1428 4004 a(\() p Fu(x;) 14 b(y) p Ft 3 w(\)) 24 b(=) p Fz 22 w(jj) p Fu(x) p Fz 19 w(\000) p Fu 18 w(y) p Fz 3 w(jj) p Fv 2016 4016 a(A) p Ft 2093 4004 a(=) p Fq 2181 3903 a(q) p 2264 3903 629 4 v Ft 2264 4004 a(\() p Fu(x) p Fz 19 w(\000) p Fu 18 w(y) p Ft 3 w(\)) p Fv 2521 3980 a(T) p Fu 2573 4004 a(A) p Ft(\() p Fu(x) p Fz 20 w(\000) p Fu 18 w(y) p Ft 3 w(\)) p Fu(:) p FA 437 w(\(2\)) 450 4146 y(T) -7 b(o) 31 b(ensure) g(that) g(this) h(be) f (a) h(metric\227satisfy) n(ing) f(non-n) n(e) o(gati) n(v) n(ity) h (and) e(the) i(triang) n(le) g(inequ) n(ality\227) 450 4237 y(we) g(requ) n(ire) g(that) p Fu 31 w(A) p FA 33 w(be) f(positi) n(v) o(e) g(semi-de) n(\002nite,) p Fu 35 w(A) p Fz 44 w(\027) p Ft 43 w(0) p FA(.) p Fp 2265 4207 a(1) p FA 2357 4237 a(Setting) p Fu 31 w(A) p Ft 45 w(=) p Fu 43 w(I) p FA 39 w(gi) n(v) o(es) g(Euclidea) n(n) 450 4328 y(distance;) h(if) d(we) g(restrict) p Fu 28 w(A) p FA 29 w(to) g(be) f(diagon) n(al,) j(this) e(corre) n(sponds) f(to) h (learnin) n(g) g(a) f(metric) h(in) f(which) 450 4419 y(the) 22 b(dif) n(feren) n(t) h(ax) o(es) f(are) g(gi) n(v) o(en) f (dif) n(feren) n(t) i(\223weights\224;) g(more) f(gen) n(erally) -5 b(,) p Fu 22 w(A) p FA 23 w(parameter) n(izes) 23 b(a) g(f) o(amily) 450 4511 y(of) 30 b(Mahalan) n(obis) g(distances) g(o) o(v) o(e) n(r) p Fw 30 w(R) p Fv 1573 4481 a(n) p FA 1624 4511 a(.) p Fp 1645 4481 a(2) p FA 1733 4511 a(Learnin) n(g) g(such) g(a) g (distance) g(metric) f(is) i(also) f(equi) n(v) n(a) n(lent) 450 4611 y(to) g(\002ndin) n(g) g(a) g(rescaling) e(of) h(a) h(data) f (that) h(replace) n(s) h(each) e(poin) n(t) p Fu 30 w(x) p FA 31 w(with) p Fu 29 w(A) p Fr 2696 4581 a(1) p Fv(=) p Fr(2) p Fu 2801 4611 a(x) p FA 30 w(and) g(applyin) n(g) h(the) p 450 4677 1196 4 v Fo 555 4733 a(1) p Fn 584 4765 a(T) -5 b(echnically) g(,) 20 b(this) e(also) h(allo) n(ws) g(pseudo) r (metrics,) f(where) p Fm 19 w(d) p Fl 2152 4773 a(A) p Fk 2202 4765 a(\() p Fm(x;) 13 b(y) p Fk 3 w(\)) 21 b(=) g(0) p Fn 19 w(does) e(not) g(imply) p Fm 20 w(x) p Fk 20 w(=) p Fm 21 w(y) p Fn 3 w(.) p Fo 555 4824 a(2) p Fn 584 4855 a(Note) i(that,) f(b) o(ut) g(putting) g(the) g(original) h(dataset) f (through) i(a) e(non-linear) h(basis) f(function) p Fm 21 w(\036) p Fn 20 w(and) g(conside) r(ring) p Fj 450 4886 a(p) p 527 4886 1004 4 v Fk 527 4950 a(\() p Fm(\036) p Fk(\() p Fm(x) p Fk(\)) p Fi 16 w(\000) p Fm 16 w(\036) p Fk(\() p Fm(y) p Fk 3 w(\)\)) p Fl 976 4929 a(T) p Fm 1024 4950 a(A) p Fk(\() p Fm(\036) p Fk(\() p Fm(x) p Fk(\)) p Fi 15 w(\000) p Fm 17 w(\036) p Fk(\() p Fm(y) p Fk 3 w(\)\)) p Fn -1 w(,) e(non-linea) r(r) g(distance) i(metrics) e (can) i(also) f(be) g(learned.) p 90 rotate dyy eop %%Page: 3 3 3 2 bop FA 450 83 a(standard) 24 b(Euclidean) g(metric) h(to) h(the) g (rescaled) e(data;) 29 b(this) d(will) g(later) f(be) h(usefu) n(l) h (in) e(visualizing) g(the) 450 174 y(learned) 19 b(metrics.) 450 295 y(A) 54 b(simple) h(w) o(ay) f(of) f(de\002ning) g(a) i(criterio) n (n) f(for) g(the) g(desired) f(metric) h(is) h(to) f(deman) n(d) g (that) 450 386 y(pairs) j(of) g(poin) n(ts) p Ft 58 w(\() p Fu(x) p Fv 1135 398 a(i) p Fu 1164 386 a(;) 14 b(x) p Fv 1248 398 a(j) p Ft 1283 386 a(\)) p FA 58 w(in) p Fz 57 w(S) p FA 64 w(ha) n(v) o(e,) 66 b(say) -5 b(,) 66 b(small) 57 b(squared) f(distance) h(between) f(them:) p Ft 450 486 a(minimize) p Fv 777 498 a(A) p Fq 845 423 a(P) p Fr 933 511 a(\() p Fv(x) p Fh 997 519 a(i) p Fv 1023 511 a(;x) p Fh 1081 519 a(j) p Fr 1111 511 a(\)) p Fg(2S) p Fz 1245 486 a(jj) p Fu(x) p Fv 1338 498 a(i) p Fz 1392 486 a(\000) p Fu 25 w(x) p Fv 1529 498 a(j) p Fz 1565 486 a(jj) p Fr 1611 456 a(2) p Fv 1611 509 a(A) p FA 1665 486 a(.) f(This) 30 b(is) h(tri) n(vially) e(solv) o(ed) g (with) p Fu 30 w(A) p Ft 42 w(=) 40 b(0) p FA(,) 33 b(which) c(is) i (not) 450 598 y(useful,) 24 b(and) g(we) h(add) e(the) i(con) n (straint) p Fq 1589 535 a(P) p Fr 1676 622 a(\() p Fv(x) p Fh 1740 630 a(i) p Fv 1766 622 a(;x) p Fh 1824 630 a(j) p Fr 1855 622 a(\)) p Fg(2D) p Fz 1997 598 a(jj) p Fu(x) p Fv 2090 610 a(i) p Fz 2139 598 a(\000) p Fu 21 w(x) p Fv 2272 610 a(j) p Fz 2308 598 a(jj) p Fv 2354 610 a(A) p Fz 2438 598 a(\025) p Ft 31 w(1) p FA 24 w(to) f(ensure) g(that) p Fu 24 w(A) p FA 25 w(does) g(not) 450 704 y(collapse) c(the) g(dataset) g(into) g(a) h(single) f(point.) k(Here,) p Fz 20 w(D) p FA 23 w(can) c(be) g(a) h(set) g(of) f(pairs) g(of) g(poin) n(ts) i (kno) l(wn) e(to) h(be) 450 795 y(\223dissimilar\224) h(if) h(such) f (inform) n(ation) g(is) i(e) o(xp) n(licitly) f(a) n(v) n(ailable;) g (otherwise,) f(we) h(may) f(tak) o(e) h(it) g(to) g(be) f(all) 450 887 y(pairs) e(not) g(in) p Fz 20 w(S) p FA 6 w(.) 26 b(This) 21 b(gi) n(v) o(e) n(s) g(the) g(optim) n(ization) f(prob) n (lem:) p Ft 1296 1035 a(min) p Fv 1341 1089 a(A) p Fq 1518 973 a(P) p Fr 1605 1060 a(\() p Fv(x) p Fh 1669 1068 a(i) p Fv 1695 1060 a(;x) p Fh 1753 1068 a(j) p Fr 1784 1060 a(\)) p Fg(2S) p Fz 1917 1035 a(jj) p Fu(x) p Fv 2010 1047 a(i) p Fz 2057 1035 a(\000) p Fu 18 w(x) p Fv 2187 1047 a(j) p Fz 2222 1035 a(jj) p Fr 2268 1005 a(2) p Fv 2268 1058 a(A) p FA 3353 1035 a(\(3\)) 1338 1193 y(s.t.) p Fq 1518 1130 a(P) p Fr 1606 1217 a(\() p Fv(x) p Fh 1670 1225 a(i) p Fv 1695 1217 a(;x) p Fh 1753 1225 a(j) p Fr 1784 1217 a(\)) p Fg(2D) p Fz 1926 1193 a(jj) p Fu(x) p Fv 2019 1205 a(i) p Fz 2066 1193 a(\000) p Fu 18 w(x) p Fv 2196 1205 a(j) p Fz 2231 1193 a(jj) p Fv 2277 1205 a(A) p Fz 2354 1193 a(\025) p Ft 23 w(1) p Fu(;) p FA 846 w(\(4\)) p Fu 1519 1324 a(A) p Fz 24 w(\027) p Ft 22 w(0) p Fu(:) p FA 1596 w(\(5\)) 450 1472 y(The) f(choice) g(of) h (the) g(constan) n(t) h(1) f(in) g(the) f(right) h(han) n(d) g(side) g (of) g(\(4\)) f(is) i(arbitr) n(ary) f(b) n(ut) g(not) f(impor) n (tant,) h(and) 450 1564 y(chang) n(ing) h(it) g(to) g(an) o(y) g(other) f(positi) n(v) o(e) g(constan) n(t) p Fu 22 w(c) p FA 21 w(results) h(only) g(in) p Fu 21 w(A) p FA 21 w(being) f(replaced) g (by) p Fu 20 w(c) p Fr 3124 1534 a(2) p Fu 3162 1564 a(A) p FA(.) 27 b(Also,) 450 1655 y(this) 21 b(pro) n(blem) f(has) h (an) f(objecti) n(v) m(e) h(that) f(is) h(linear) f(in) h(the) f(param) n(eters) p Fu 21 w(A) p FA(,) h(and) f(both) f(of) h(the) g (constraints) 450 1746 y(are) 30 b(also) h(easily) f(v) o(eri\002ed) g (to) g(be) g(con) m(v) o(e) m(x.) 55 b(Thus,) 33 b(the) d(optimiza) n (tion) h(pro) n(blem) f(is) p Fs 31 w(con) m(ve) n(x) p FA(,) i(which) 450 1838 y(enables) 20 b(us) g(to) h(deri) n(v) m(e) g (ef) n(\002cien) n(t,) g(local-min) n(ima-free) e(algorith) n(ms) i(to) f(solv) o(e) g(it.) 450 1958 y(W) -7 b(e) 21 b(also) e(note) g(that,) h (while) f(one) g(might) g(consid) n(er) h(v) n(ario) n(us) g(alternati) n(v) o(e) n(s) h(to) e(\(4\),) g(\223) p Fq 2841 1896 a(P) p Fr 2928 1983 a(\() p Fv(x) p Fh 2992 1991 a(i) p Fv 3018 1983 a(;x) p Fh 3076 1991 a(j) p Fr 3107 1983 a(\)) p Fg(2D) p Fz 3249 1958 a(jj) p Fu(x) p Fv 3342 1970 a(i) p Fz 3385 1958 a(\000) p Fu 450 2075 a(x) p Fv 497 2087 a(j) p Fz 532 2075 a(jj) p Fr 578 2045 a(2) p Fv 578 2098 a(A) p Fz 670 2075 a(\025) p Ft 37 w(1) p FA(\224) 28 b(w) o(ould) f(not) g(be) h(a) h(goo) n(d) f(choice) f (despite) h(its) h(gi) n(ving) d(a) j(simple) f(linear) f(constraint.) 47 b(It) 450 2177 y(w) o(ould) 19 b(result) i(in) p Fu 20 w(A) p FA 21 w(al) o(w) o(ays) g(being) e(rank) g(1) h(\(i.e.,) g (the) g(data) g(are) h(al) o(w) o(ays) f(projected) f(onto) g(a) i (line\).) p Fp 3290 2147 a(3) p FB 450 2401 a(2.1) 82 b(The) 21 b(case) f(of) g(diagonal) p Fu 19 w(A) p FA 450 2566 a(In) h(the) g(case) h(that) f(we) h(w) o(ant) f(to) h(learn) f (a) g(diagon) n(al) p Fu 22 w(A) p Ft 26 w(=) j(diag) q(\() p Fu(A) p Fr 2342 2578 a(11) p Fu 2412 2566 a(;) 14 b(A) p Fr 2511 2578 a(22) p Fu 2582 2566 a(;) g(:) g(:) g(:) g(;) g(A) p Fv 2829 2578 a(nn) p Ft 2915 2566 a(\)) p FA(,) 22 b(we) g(can) f(deri) n(v) m(e) 450 2657 y(an) f(ef) n(\002cient) g(algor) n(ithm) g(using) g (the) g(Ne) n(wton-Raph) n(son) g(method) n(.) 26 b(De\002ne) p Fu 567 2911 a(g) p Ft 3 w(\() p Fu(A) p Ft(\)) d(=) p Fu 23 w(g) p Ft 3 w(\() p Fu(A) p Fr 984 2923 a(11) p Fu 1055 2911 a(;) 14 b(:) g(:) g(:) f(;) h(A) p Fv 1301 2923 a(nn) p Ft 1388 2911 a(\)) 23 b(=) p Fq 1618 2832 a(X) p Fr 1531 3014 a(\() p Fv(x) p Fh 1595 3022 a(i) p Fv 1620 3014 a(;x) p Fh 1678 3022 a(j) p Fr 1709 3014 a(\)) p Fg(2S) p Fz 1838 2911 a(jj) p Fu(x) p Fv 1931 2923 a(i) p Fz 1978 2911 a(\000) p Fu 18 w(x) p Fv 2108 2923 a(j) p Fz 2143 2911 a(jj) p Fr 2189 2877 a(2) p Fv 2189 2932 a(A) p Fz 2262 2911 a(\000) p Ft 18 w(log) p Fq 2466 2744 a(0) 2466 2894 y(@) 2630 2832 y(X) p Fr 2539 3014 a(\() p Fv(x) p Fh 2603 3022 a(i) p Fv 2629 3014 a(;x) p Fh 2687 3022 a(j) p Fr 2717 3014 a(\)) p Fg(2D) p Fz 2855 2911 a(jj) p Fu(x) p Fv 2948 2923 a(i) p Fz 2995 2911 a(\000) p Fu 18 w(x) p Fv 3125 2923 a(j) p Fz 3160 2911 a(jj) p Fv 3206 2923 a(A) p Fq 3260 2744 a(1) 3260 2894 y(A) p FA 450 3162 a(It) j(is) h(straightfor) n(w) o (ard) f(to) g(sho) n(w) g(that) g(minimizing) p Fu 25 w(g) p FA 29 w(\(subject) g(to) p Fu 26 w(A) p Fz 34 w(\025) p Ft 34 w(0) p FA(\)) g(is) h(equ) n(i) n(v) n(alent,) g(up) f (to) g(a) 450 3254 y(multiplicatio) n(n) e(of) p Fu 24 w(A) p FA 25 w(by) f(a) i(positi) n(v) o(e) e(con) n(stant,) i(to) f (solving) f(the) h(original) f(prob) n(lem) h(\(3\2265) n(\).) 37 b(W) -7 b(e) 25 b(can) 450 3345 y(thus) 20 b(use) h(Ne) n(wton) n (-Raphson) e(to) i(ef) n(\002ciently) e(optimize) p Fu 19 w(g) p FA 3 w(.) p Fp 2156 3315 a(4) p FB 450 3569 a(2.2) 82 b(The) 21 b(case) f(of) g(full) p Fu 21 w(A) p FA 450 3734 a(In) i(the) g(case) g(of) g(learning) f(a) h(full) g (matrix) p Fu 21 w(A) p FA(,) h(the) f(constraint) f(that) p Fu 23 w(A) p Fz 26 w(\027) p Ft 26 w(0) p FA 22 w(becomes) h(slightly) f (trickier) 450 3825 y(to) g(enfor) n(ce,) h(and) e(Ne) n(wton') -5 b(s) 21 b(method) f(often) g(becomes) h(pro) n(hibiti) n(v) o(ely) f(e) o(xpe) n(nsi) n(v) o(e) h(\(requ) n(iring) p Fu 21 w(O) p Ft 2 w(\() p Fu(n) p Fr 3380 3795 a(6) p Ft 3418 3825 a(\)) p FA 450 3917 a(time) 29 b(to) h(in) m(v) o(e) n(rt) g(the) f (Hessian) h(o) o(v) o(e) n(r) p Fu 30 w(n) p Fr 1590 3886 a(2) p FA 1657 3917 a(param) n(eters\).) 53 b(Using) 29 b(grad) n(ient) h(descent) f(and) f(the) i(idea) f(of) 450 4008 y(iterati) n(v) o(e) 19 b(projection) n(s) i(\(e.g.,) e([8) o(]\)) h(we) h(deri) n(v) o(e) e(a) i(dif) n(f) n(erent) f(algorith) n(m) h (for) e(this) i(setting.) p 450 4126 1196 4 v Fo 555 4182 a(3) p Fn 584 4213 a(The) e(proof) h(is) e(reminiscent) i(of) e (the) h(deri) n(v) n(ation) h(of) f(Fisher') l(s) f(linear) h (discriminant.) 24 b(Brie\003y) -5 b(,) 18 b(consider) h(max-) 450 4296 y(imizing) p Fk 25 w(\() p Fj 733 4240 a(P) p Ff 814 4319 a(\() p Fl(x) p Fh 873 4330 a(i) p Fl 899 4319 a(;x) p Fh 953 4330 a(j) p Ff 983 4319 a(\)) p Fe(2D) p Fi 1115 4296 a(jj) p Fm(x) p Fl 1201 4304 a(i) p Fi 1249 4296 a(\000) p Fm 21 w(x) p Fl 1374 4304 a(j) p Fi 1406 4296 a(jj) p Ff 1448 4265 a(2) p Fl 1448 4311 a(A) p Fk 1499 4296 a(\)) p Fm(=) p Fj 1580 4240 a(P) p Ff 1661 4319 a(\() p Fl(x) p Fh 1720 4330 a(i) p Fl 1746 4319 a(;x) p Fh 1800 4330 a(j) p Ff 1831 4319 a(\)) p Fe(2S) p Fi 1955 4296 a(jj) p Fm(x) p Fl 2041 4304 a(i) p Fi 2089 4296 a(\000) p Fm 21 w(x) p Fl 2214 4304 a(j) p Fi 2246 4296 a(jj) p Ff 2288 4265 a(2) p Fl 2288 4311 a(A) p Fk 2371 4296 a(=) 32 b(trace) p Fm 13 w(AM) p Fe 2774 4304 a(D) p Fm 2828 4296 a(=) p Fk(trace) p Fm 14 w(AM) p Fe 3178 4304 a(S) p Fn 3223 4296 a(,) 25 b(where) p Fm 450 4412 a(M) p Fe 524 4420 a(T) p Fk 620 4412 a(=) p Fj 722 4356 a(P) p Ff 803 4435 a(\() p Fl(x) p Fh 862 4446 a(i) p Fl 889 4435 a(;x) p Fh 943 4446 a(j) p Ff 973 4435 a(\)) p Fe(2T) p Fk 1092 4412 a(\() p Fm(x) p Fl 1166 4420 a(i) p Fi 1217 4412 a(\000) p Fm 25 w(x) p Fl 1346 4420 a(j) p Fk 1378 4412 a(\)\() p Fm(x) p Fl 1482 4420 a(i) p Fi 1534 4412 a(\000) p Fm 25 w(x) p Fl 1663 4420 a(j) p Fk 1695 4412 a(\)) p Fl 1725 4380 a(T) p Fn 1774 4412 a(.) 56 b(Decompo) r(sing) p Fm 30 w(A) p Fn 30 w(as) p Fm 30 w(A) p Fk 42 w(=) p Fj 2677 4356 a(P) p Fl 2758 4376 a(n) 2758 4435 y(i) p Ff(=1) p Fm 2874 4412 a(a) p Fl 2915 4420 a(i) p Fm 2941 4412 a(a) p Fl 2982 4380 a(T) 2982 4426 y(i) p Fn 3061 4412 a(\(al) o(w) o(ays) 30 b(pos-) 450 4527 y(sible) g(since) p Fm 31 w(A) p Fi 42 w(\025) p Fk 43 w(0) p Fn(\),) j(this) d(gi) n(v) o (es) p Fj 1446 4471 a(P) p Fl 1527 4550 a(i) p Fm 1566 4527 a(a) p Fl 1607 4496 a(T) 1607 4541 y(i) p Fm 1655 4527 a(M) p Fe 1729 4535 a(D) p Fm 1783 4527 a(a) p Fl 1824 4535 a(i) p Fm 1850 4527 a(=) p Fj 1901 4471 a(P) p Fl 1982 4550 a(i) p Fm 2022 4527 a(a) p Fl 2063 4496 a(T) 2063 4541 y(i) p Fm 2111 4527 a(M) p Fe 2185 4535 a(S) p Fm 2231 4527 a(a) p Fl 2272 4535 a(i) p Fn 2298 4527 a(,) i(which) f(we) f(recogn) r(ize) g(as) g(a) g(Rayleigh-) 450 4610 y(quotient) 23 b(lik) o(e) e(quan) r(tity) g(whose) i(solution) f (is) f(gi) n(v) o(en) i(by) f(\(say\)) g(solving) h(the) f(generalized) h(eigen) m(v) o(ector) g(problem) p Fm 450 4693 a(M) p Fe 524 4701 a(D) p Fm 578 4693 a(a) p Ff 619 4701 a(1) p Fk 674 4693 a(=) p Fm 22 w(\025M) p Fe 875 4701 a(S) p Fm 920 4693 a(a) p Ff 961 4701 a(1) p Fn 1014 4693 a(for) c(the) g (principal) g(eigen) m(v) o(ec) r(tor) m(,) f(and) i(setting) p Fm 19 w(a) p Ff 2279 4701 a(2) p Fk 2334 4693 a(=) p Fm 21 w(:) 13 b(:) g(:) p Fk 22 w(=) p Fm 21 w(a) p Fl 2648 4701 a(n) p Fk 2712 4693 a(=) 21 b(0) p Fn(.) p Fo 555 4752 a(4) p Fn 584 4784 a(T) -6 b(o) 21 b(ensure) g(that) p Fm 20 w(A) p Fi 23 w(\027) p Fk 24 w(0) p Fn(,) g(which) f(is) g(true) h (if) n(f) e(the) i(diagonal) g(elements) p Fm 21 w(A) p Fl 2502 4792 a(ii) p Fn 2570 4784 a(are) f(non) r(-ne) o(gati) n(v) o (e,) g(we) g(actually) 450 4867 y(replace) h(the) g(Ne) n(wton) g (update) p Fm 22 w(H) p Fe 1343 4835 a(\000) p Ff(1) p Fi 1425 4867 a(r) p Fm(g) p Fn 23 w(by) p Fm 21 w(\013H) p Fe 1763 4835 a(\000) p Ff(1) p Fi 1845 4867 a(r) p Fm(g) p Fn 3 w(,) f(where) p Fm 21 w(\013) p Fn 21 w(is) g(a) h(step-size) g (parameter) g(optimized) g(via) g(a) 450 4950 y(line-search) e(to) g (gi) n(v) o(e) h(the) f(lar) o(gest) f(do) n(wnh) r(ill) g(step) h (subject) g(to) p Fm 19 w(A) p Fl 2131 4958 a(ii) p Fi 2200 4950 a(\025) p Fk 21 w(0) p Fn(.) p 90 rotate dyy eop %%Page: 4 4 4 3 bop 1039 0 1779 4 v 1039 756 4 756 v 2814 756 V 1039 759 1779 4 v FB 1143 93 a(Iterate) 1224 208 y(Iterate) p Fu 1305 299 a(A) p Ft 23 w(:=) 23 b(arg) 14 b(min) p Fv 1770 311 a(A) p Fd 1820 295 a(0) p Fz 1846 299 a(fjj) p Fu(A) p Fg 1996 269 a(0) p Fz 2038 299 a(\000) p Fu 18 w(A) p Fz(jj) p Fv 2229 311 a(F) p Ft 2308 299 a(:) p Fu 23 w(A) p Fg 2416 269 a(0) p Fz 2463 299 a(2) p Fu 23 w(C) p Fr 2600 311 a(1) p Fz 2638 299 a(g) p Fu 1305 391 a(A) p Ft 23 w(:=) 23 b(arg) 14 b(min) p Fv 1770 403 a(A) p Fd 1820 386 a(0) p Fz 1846 391 a(fjj) p Fu(A) p Fg 1996 360 a(0) p Fz 2038 391 a(\000) p Fu 18 w(A) p Fz(jj) p Fv 2229 403 a(F) p Ft 2308 391 a(:) p Fu 23 w(A) p Fg 2416 360 a(0) p Fz 2463 391 a(2) p Fu 23 w(C) p Fr 2600 403 a(2) p Fz 2638 391 a(g) p FB 1224 482 a(until) p Fu 21 w(A) p FA 21 w(con) m(v) m(er) o(ge) n(s) p Fu 1224 597 a(A) p Ft 24 w(:=) p Fu 22 w(A) p Ft 19 w(+) p Fu 18 w(\013) p Ft(\() p Fz(r) p Fv 1738 609 a(A) p Fu 1793 597 a(g) p Ft 3 w(\() p Fu(A) p Ft(\)\)) p Fg 1994 609 a(?r) p Fh 2101 617 a(A) p Fv 2149 609 a(f) p FB 1143 712 a(until) p FA 21 w(con) m(v) m(er) o(gen) n(ce) p Fn 450 875 a(Figure) 24 b(1:) 34 b(Gradient) 24 b(ascent) h(+) f (Iterati) n(v) o(e) g(projection) h(algorithm.) 40 b(Here,) p Fi 25 w(jj) 22 b(\001) f(jj) p Fl 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r(ce) g(of) p Fi 19 w(r) p Fl 2534 4701 a(A) p Fm 2584 4693 a(f) p Fn 8 w(,) h(so) f(that) h(it) f(will) f(\223minimally\224) 450 4776 y(disrupt) i(the) g(constraint) p Fm 20 w(C) p Ff 1155 4784 a(1) p Fn 1189 4776 a(.) k(Empirically) -5 b(,) 18 b(this) h(modi\002cation) g(often) h(signi\002cantly) f(speeds) h(up) f(con) m(v) o(er) o(gen) r(ce.) p Fo 555 4835 a(6) p Fn 584 4867 a(In) 27 b(the) f(e) o(xperiments) g(with) g(synthetic) h (data,) p Fi 27 w(S) p Fn 31 w(w) o(as) g(a) e(rando) r(mly) h(sampled) g(1\045) h(of) f(all) f(pairs) h(of) g(similar) 450 4950 y(points.) p 90 rotate dyy eop %%Page: 5 5 5 4 bop 450 755 a @beginspecial 62 @llx 413 @lly 285 @urx 600 @ury 1080 @rwi @setspecial %%BeginDocument: figure_new/f2a_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/f2a_new.eps %%CreationDate: 06/28/2002 00:51:08 %%DocumentNeededFonts: Helvetica 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getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 62 413 285 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 530 135 2680 2242 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 985 -982 -451 -1 -985 3161 1825 4 MP PP 983 451 0 985 -982 -451 -1 -985 3161 1825 5 MP stroke 983 451 1280 -346 -983 -452 1881 2172 4 MP PP -1280 347 983 451 1280 -346 -983 -452 1881 2172 5 MP stroke 0 985 1280 -346 0 -985 898 1720 4 MP PP -1280 346 0 985 1280 -346 0 -985 898 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2172 mt 3161 1825 L 1881 2172 mt 898 1720 L 898 1720 mt 898 735 L 2121 2107 mt 2151 2120 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 2182 2246 mt (-5) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 2921 1890 mt 2951 1904 L 2982 2029 mt (5) s 1696 2087 mt 1664 2096 L 1495 2216 mt (-5) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 1083 1805 mt 1051 1813 L 951 1933 mt (5) s 898 1535 mt 868 1522 L 701 1551 mt (-5) s 898 1227 mt 868 1214 L 771 1243 mt (0) s 898 920 mt 868 906 L 771 935 mt (5) s 2461 2348 mt (x) s gs 898 389 2263 1784 MR c np gr /c8 { 1.000000 0.000000 0.000000 sr} bdef c8 36 36 1997 1065 FO gs 898 389 2263 1784 MR c np gr 36 36 2086 1045 FO gs 898 389 2263 1784 MR c np gr 36 36 2058 979 FO gs 898 389 2263 1784 MR c np gr 36 36 2093 1009 FO gs 898 389 2263 1784 MR c np gr 36 36 2164 1018 FO gs 898 389 2263 1784 MR c np gr 36 36 2174 1061 FO gs 898 389 2263 1784 MR c np gr 36 36 2118 1042 FO gs 898 389 2263 1784 MR c np gr 36 36 2079 1074 FO gs 898 389 2263 1784 MR c np gr 36 36 2114 1083 FO gs 898 389 2263 1784 MR c np gr 36 36 2138 1083 FO gs 898 389 2263 1784 MR c np gr 36 36 2245 1188 FO gs 898 389 2263 1784 MR c np gr 36 36 2158 1103 FO gs 898 389 2263 1784 MR c np gr 36 36 2094 1051 FO gs 898 389 2263 1784 MR c np gr 36 36 2106 1053 FO gs 898 389 2263 1784 MR c np gr 36 36 2179 1039 FO gs 898 389 2263 1784 MR c np gr 36 36 2208 1052 FO gs 898 389 2263 1784 MR c np gr 36 36 2044 1055 FO gs 898 389 2263 1784 MR c np gr 36 36 2153 1083 FO gs 898 389 2263 1784 MR c np gr 36 36 1985 1078 FO gs 898 389 2263 1784 MR c np gr 36 36 2181 1093 FO gs 898 389 2263 1784 MR c np gr 36 36 2072 966 FO gs 898 389 2263 1784 MR c np gr 36 36 2131 1080 FO gs 898 389 2263 1784 MR c np gr 36 36 2047 1044 FO gs 898 389 2263 1784 MR c np gr 36 36 2098 1065 FO gs 898 389 2263 1784 MR c np gr 36 36 2011 1133 FO gs 898 389 2263 1784 MR c np gr 36 36 2115 1104 FO gs 898 389 2263 1784 MR c np gr 36 36 2210 1198 FO gs 898 389 2263 1784 MR c np gr 36 36 2180 1143 FO gs 898 389 2263 1784 MR c np gr 36 36 2097 1119 FO gs 898 389 2263 1784 MR c np gr 36 36 2160 996 FO gs 898 389 2263 1784 MR c np gr 36 36 2208 852 FO gs 898 389 2263 1784 MR c np gr 36 36 2203 1122 FO gs 898 389 2263 1784 MR c np gr 36 36 2255 1026 FO gs 898 389 2263 1784 MR c np gr 36 36 2217 1075 FO gs 898 389 2263 1784 MR c np gr 36 36 2194 1036 FO gs 898 389 2263 1784 MR c np gr 36 36 2200 1064 FO gs 898 389 2263 1784 MR c np gr 36 36 2216 1035 FO gs 898 389 2263 1784 MR c np gr 36 36 2133 990 FO gs 898 389 2263 1784 MR c np gr 36 36 2164 968 FO gs 898 389 2263 1784 MR c np gr 36 36 2049 995 FO gs 898 389 2263 1784 MR c np gr 36 36 2124 1007 FO gs 898 389 2263 1784 MR c np gr 36 36 2176 1006 FO gs 898 389 2263 1784 MR c np gr 36 36 2134 1006 FO gs 898 389 2263 1784 MR c np gr 36 36 2007 1057 FO gs 898 389 2263 1784 MR c np gr 36 36 2087 979 FO gs 898 389 2263 1784 MR c np gr 36 36 2117 1056 FO gs 898 389 2263 1784 MR c np gr 36 36 2204 1035 FO gs 898 389 2263 1784 MR c np gr 36 36 2251 955 FO gs 898 389 2263 1784 MR c np gr 36 36 2277 981 FO gs 898 389 2263 1784 MR c np gr 36 36 2295 1052 FO gs 898 389 2263 1784 MR c np gr 36 36 2160 961 FO gs 898 389 2263 1784 MR c np gr 36 36 2186 1075 FO gs 898 389 2263 1784 MR c np gr 36 36 2208 940 FO gs 898 389 2263 1784 MR c np gr 36 36 2281 1011 FO gs 898 389 2263 1784 MR c np gr 36 36 2294 917 FO gs 898 389 2263 1784 MR c np gr 36 36 2294 936 FO gs 898 389 2263 1784 MR c np gr 36 36 2181 1031 FO gs 898 389 2263 1784 MR c np gr 36 36 2201 1052 FO gs 898 389 2263 1784 MR c np gr 36 36 2235 987 FO gs 898 389 2263 1784 MR c np gr 36 36 2249 1046 FO gs 898 389 2263 1784 MR c np gr 36 36 2201 965 FO gs 898 389 2263 1784 MR c np gr 36 36 2207 1070 FO gs 898 389 2263 1784 MR c np gr 36 36 2158 1092 FO gs 898 389 2263 1784 MR c np gr 36 36 2199 1066 FO gs 898 389 2263 1784 MR c np gr 36 36 2192 1212 FO gs 898 389 2263 1784 MR c np gr 36 36 2141 1078 FO gs 898 389 2263 1784 MR c np gr 36 36 2125 1166 FO gs 898 389 2263 1784 MR c np gr 36 36 2148 974 FO gs 898 389 2263 1784 MR c np gr 36 36 2092 949 FO gs 898 389 2263 1784 MR c np gr 36 36 2195 1049 FO gs 898 389 2263 1784 MR c np gr 36 36 2177 1107 FO gs 898 389 2263 1784 MR c np gr 36 36 2153 1145 FO gs 898 389 2263 1784 MR c np gr 36 36 2294 1080 FO gs 898 389 2263 1784 MR c np gr 36 36 2155 1027 FO gs 898 389 2263 1784 MR c np gr 36 36 2011 1041 FO gs 898 389 2263 1784 MR c np gr 36 36 2304 1040 FO gs 898 389 2263 1784 MR c np gr 36 36 2266 1089 FO gs 898 389 2263 1784 MR c np gr 36 36 2223 1060 FO gs 898 389 2263 1784 MR c np gr 36 36 2180 1107 FO gs 898 389 2263 1784 MR c np gr /c9 { 0.000000 0.000000 1.000000 sr} bdef c9 2142 1598 mt 2214 1598 L 2178 1562 mt 2178 1634 L gs 898 389 2263 1784 MR c np gr 2136 1576 mt 2208 1576 L 2172 1540 mt 2172 1612 L gs 898 389 2263 1784 MR c np gr c8 36 36 2170 990 FO gs 898 389 2263 1784 MR c np gr 36 36 2161 1034 FO gs 898 389 2263 1784 MR c np gr c9 2119 1567 mt 2191 1567 L 2155 1531 mt 2155 1603 L gs 898 389 2263 1784 MR c np gr c8 36 36 2097 923 FO gs 898 389 2263 1784 MR c np gr 36 36 2144 880 FO gs 898 389 2263 1784 MR c np gr c9 1821 1494 mt 1893 1494 L 1857 1458 mt 1857 1530 L gs 898 389 2263 1784 MR c np gr 1927 1476 mt 1999 1476 L 1963 1440 mt 1963 1512 L gs 898 389 2263 1784 MR c np gr 1862 1529 mt 1934 1529 L 1898 1493 mt 1898 1565 L gs 898 389 2263 1784 MR c np gr 2039 1489 mt 2111 1489 L 2075 1453 mt 2075 1525 L gs 898 389 2263 1784 MR c np gr 2104 1553 mt 2176 1553 L 2140 1517 mt 2140 1589 L gs 898 389 2263 1784 MR c np gr 2080 1564 mt 2152 1564 L 2116 1528 mt 2116 1600 L gs 898 389 2263 1784 MR c np gr 1807 1581 mt 1879 1581 L 1843 1545 mt 1843 1617 L gs 898 389 2263 1784 MR c np gr 1837 1689 mt 1909 1689 L 1873 1653 mt 1873 1725 L gs 898 389 2263 1784 MR c np gr 1840 1546 mt 1912 1546 L 1876 1510 mt 1876 1582 L gs 898 389 2263 1784 MR c np gr 1856 1497 mt 1928 1497 L 1892 1461 mt 1892 1533 L gs 898 389 2263 1784 MR c np gr 1799 1468 mt 1871 1468 L 1835 1432 mt 1835 1504 L gs 898 389 2263 1784 MR c np gr 2028 1528 mt 2100 1528 L 2064 1492 mt 2064 1564 L gs 898 389 2263 1784 MR c np gr 1913 1534 mt 1985 1534 L 1949 1498 mt 1949 1570 L gs 898 389 2263 1784 MR c np gr 1883 1570 mt 1955 1570 L 1919 1534 mt 1919 1606 L gs 898 389 2263 1784 MR c np gr 2032 1531 mt 2104 1531 L 2068 1495 mt 2068 1567 L gs 898 389 2263 1784 MR c np gr 1936 1539 mt 2008 1539 L 1972 1503 mt 1972 1575 L gs 898 389 2263 1784 MR c np gr 1883 1467 mt 1955 1467 L 1919 1431 mt 1919 1503 L gs 898 389 2263 1784 MR c np gr 1943 1482 mt 2015 1482 L 1979 1446 mt 1979 1518 L gs 898 389 2263 1784 MR c np gr 2014 1584 mt 2086 1584 L 2050 1548 mt 2050 1620 L gs 898 389 2263 1784 MR c np gr 2022 1550 mt 2094 1550 L 2058 1514 mt 2058 1586 L gs 898 389 2263 1784 MR c np gr 1880 1497 mt 1952 1497 L 1916 1461 mt 1916 1533 L gs 898 389 2263 1784 MR c np gr 1614 1551 mt 1686 1551 L 1650 1515 mt 1650 1587 L gs 898 389 2263 1784 MR c np gr 1808 1483 mt 1880 1483 L 1844 1447 mt 1844 1519 L gs 898 389 2263 1784 MR c np gr 1807 1493 mt 1879 1493 L 1843 1457 mt 1843 1529 L gs 898 389 2263 1784 MR c np gr 1749 1632 mt 1821 1632 L 1785 1596 mt 1785 1668 L gs 898 389 2263 1784 MR c np gr 1796 1590 mt 1868 1590 L 1832 1554 mt 1832 1626 L gs 898 389 2263 1784 MR c np gr 1861 1667 mt 1933 1667 L 1897 1631 mt 1897 1703 L gs 898 389 2263 1784 MR c np gr 1837 1550 mt 1909 1550 L 1873 1514 mt 1873 1586 L gs 898 389 2263 1784 MR c np gr 1824 1567 mt 1896 1567 L 1860 1531 mt 1860 1603 L gs 898 389 2263 1784 MR c np gr 1826 1556 mt 1898 1556 L 1862 1520 mt 1862 1592 L gs 898 389 2263 1784 MR c np gr 1993 1583 mt 2065 1583 L 2029 1547 mt 2029 1619 L gs 898 389 2263 1784 MR c np gr 1931 1658 mt 2003 1658 L 1967 1622 mt 1967 1694 L gs 898 389 2263 1784 MR c np gr 1834 1563 mt 1906 1563 L 1870 1527 mt 1870 1599 L gs 898 389 2263 1784 MR c np gr 1915 1476 mt 1987 1476 L 1951 1440 mt 1951 1512 L gs 898 389 2263 1784 MR c np gr 1941 1546 mt 2013 1546 L 1977 1510 mt 1977 1582 L gs 898 389 2263 1784 MR c np gr 1934 1589 mt 2006 1589 L 1970 1553 mt 1970 1625 L gs 898 389 2263 1784 MR c np gr 1959 1630 mt 2031 1630 L 1995 1594 mt 1995 1666 L gs 898 389 2263 1784 MR c np gr 1991 1515 mt 2063 1515 L 2027 1479 mt 2027 1551 L gs 898 389 2263 1784 MR c np gr 2026 1579 mt 2098 1579 L 2062 1543 mt 2062 1615 L gs 898 389 2263 1784 MR c np gr 1884 1482 mt 1956 1482 L 1920 1446 mt 1920 1518 L gs 898 389 2263 1784 MR c np gr 1971 1514 mt 2043 1514 L 2007 1478 mt 2007 1550 L gs 898 389 2263 1784 MR c np gr 1855 1533 mt 1927 1533 L 1891 1497 mt 1891 1569 L gs 898 389 2263 1784 MR c np gr 2003 1525 mt 2075 1525 L 2039 1489 mt 2039 1561 L gs 898 389 2263 1784 MR c np gr 2039 1471 mt 2111 1471 L 2075 1435 mt 2075 1507 L gs 898 389 2263 1784 MR c np gr 1905 1516 mt 1977 1516 L 1941 1480 mt 1941 1552 L gs 898 389 2263 1784 MR c np gr 1903 1536 mt 1975 1536 L 1939 1500 mt 1939 1572 L gs 898 389 2263 1784 MR c np gr 1949 1574 mt 2021 1574 L 1985 1538 mt 1985 1610 L gs 898 389 2263 1784 MR c np gr 1930 1506 mt 2002 1506 L 1966 1470 mt 1966 1542 L gs 898 389 2263 1784 MR c np gr 1871 1477 mt 1943 1477 L 1907 1441 mt 1907 1513 L gs 898 389 2263 1784 MR c np gr 1863 1638 mt 1935 1638 L 1899 1602 mt 1899 1674 L gs 898 389 2263 1784 MR c np gr 1854 1611 mt 1926 1611 L 1890 1575 mt 1890 1647 L gs 898 389 2263 1784 MR c np gr 1835 1604 mt 1907 1604 L 1871 1568 mt 1871 1640 L gs 898 389 2263 1784 MR c np gr 1877 1580 mt 1949 1580 L 1913 1544 mt 1913 1616 L gs 898 389 2263 1784 MR c np gr 2055 1525 mt 2127 1525 L 2091 1489 mt 2091 1561 L gs 898 389 2263 1784 MR c np gr 1943 1505 mt 2015 1505 L 1979 1469 mt 1979 1541 L gs 898 389 2263 1784 MR c np gr 1949 1496 mt 2021 1496 L 1985 1460 mt 1985 1532 L gs 898 389 2263 1784 MR c np gr 1957 1498 mt 2029 1498 L 1993 1462 mt 1993 1534 L gs 898 389 2263 1784 MR c np gr 1894 1481 mt 1966 1481 L 1930 1445 mt 1930 1517 L gs 898 389 2263 1784 MR c np gr 1880 1426 mt 1952 1426 L 1916 1390 mt 1916 1462 L gs 898 389 2263 1784 MR c np gr 1893 1499 mt 1965 1499 L 1929 1463 mt 1929 1535 L gs 898 389 2263 1784 MR c np gr 1833 1640 mt 1905 1640 L 1869 1604 mt 1869 1676 L gs 898 389 2263 1784 MR c np gr 1832 1637 mt 1904 1637 L 1868 1601 mt 1868 1673 L gs 898 389 2263 1784 MR c np gr 1780 1561 mt 1852 1561 L 1816 1525 mt 1816 1597 L gs 898 389 2263 1784 MR c np gr 1774 1697 mt 1846 1697 L 1810 1661 mt 1810 1733 L gs 898 389 2263 1784 MR c np gr 1952 1638 mt 2024 1638 L 1988 1602 mt 1988 1674 L gs 898 389 2263 1784 MR c np gr 1832 1643 mt 1904 1643 L 1868 1607 mt 1868 1679 L gs 898 389 2263 1784 MR c np gr 1954 1617 mt 2026 1617 L 1990 1581 mt 1990 1653 L gs 898 389 2263 1784 MR c np gr 1969 1552 mt 2041 1552 L 2005 1516 mt 2005 1588 L gs 898 389 2263 1784 MR c np gr 2080 1615 mt 2152 1615 L 2116 1579 mt 2116 1651 L gs 898 389 2263 1784 MR c np gr 2050 1570 mt 2122 1570 L 2086 1534 mt 2086 1606 L gs 898 389 2263 1784 MR c np gr c8 36 36 2085 942 FO gs 898 389 2263 1784 MR c np gr 36 36 2083 978 FO gs 898 389 2263 1784 MR c np gr c9 1795 1441 mt 1867 1441 L 1831 1405 mt 1831 1477 L gs 898 389 2263 1784 MR c np gr 1807 1425 mt 1879 1425 L 1843 1389 mt 1843 1461 L gs 898 389 2263 1784 MR c np gr 1899 1470 mt 1971 1470 L 1935 1434 mt 1935 1506 L gs 898 389 2263 1784 MR c np gr 2018 1445 mt 2090 1445 L 2054 1409 mt 2054 1481 L gs 898 389 2263 1784 MR c np gr 2046 1408 mt 2118 1408 L 2082 1372 mt 2082 1444 L gs 898 389 2263 1784 MR c np gr 2040 1497 mt 2112 1497 L 2076 1461 mt 2076 1533 L gs 898 389 2263 1784 MR c np gr c8 36 36 2068 1020 FO gs 898 389 2263 1784 MR c np gr 36 36 2067 1150 FO gs 898 389 2263 1784 MR c np gr 36 36 2067 952 FO gs 898 389 2263 1784 MR c np gr c9 2006 1510 mt 2078 1510 L 2042 1474 mt 2042 1546 L gs 898 389 2263 1784 MR c np gr c8 36 36 2041 987 FO gs 898 389 2263 1784 MR c np gr 0 sg 1446 294 mt (2-class data \(original\)) s gs 898 389 2263 1784 MR c np gr c9 1987 1562 mt 2059 1562 L 2023 1526 mt 2023 1598 L gs 898 389 2263 1784 MR c np gr 1984 1472 mt 2056 1472 L 2020 1436 mt 2020 1508 L gs 898 389 2263 1784 MR c np gr c8 36 36 2015 1045 FO gs 898 389 2263 1784 MR c np gr c9 1923 1498 mt 1995 1498 L 1959 1462 mt 1959 1534 L gs 898 389 2263 1784 MR c np gr 1975 1466 mt 2047 1466 L 2011 1430 mt 2011 1502 L gs 898 389 2263 1784 MR c np gr c8 36 36 2008 1082 FO gs 898 389 2263 1784 MR c np gr 36 36 2007 1025 FO gs 898 389 2263 1784 MR c np gr 36 36 2001 1060 FO gs 898 389 2263 1784 MR c np gr 36 36 1984 977 FO gs 898 389 2263 1784 MR c np gr 36 36 1978 992 FO gs 898 389 2263 1784 MR c np gr 36 36 1975 1052 FO gs 898 389 2263 1784 MR c np gr c9 1933 1558 mt 2005 1558 L 1969 1522 mt 1969 1594 L gs 898 389 2263 1784 MR c np gr 1927 1519 mt 1999 1519 L 1963 1483 mt 1963 1555 L gs 898 389 2263 1784 MR c np gr c8 36 36 1952 858 FO gs 898 389 2263 1784 MR c np gr 36 36 1948 1112 FO gs 898 389 2263 1784 MR c np gr 36 36 1938 1087 FO gs 898 389 2263 1784 MR c np gr c9 1899 1433 mt 1971 1433 L 1935 1397 mt 1935 1469 L gs 898 389 2263 1784 MR c np gr 1891 1634 mt 1963 1634 L 1927 1598 mt 1927 1670 L gs 898 389 2263 1784 MR c np gr 1896 1601 mt 1968 1601 L 1932 1565 mt 1932 1637 L gs 898 389 2263 1784 MR c np gr 1889 1528 mt 1961 1528 L 1925 1492 mt 1925 1564 L gs 898 389 2263 1784 MR c np gr 1884 1512 mt 1956 1512 L 1920 1476 mt 1920 1548 L gs 898 389 2263 1784 MR c np gr c8 36 36 1914 992 FO gs 898 389 2263 1784 MR c np gr c9 1829 1431 mt 1901 1431 L 1865 1395 mt 1865 1467 L gs 898 389 2263 1784 MR c np gr 1826 1482 mt 1898 1482 L 1862 1446 mt 1862 1518 L gs 898 389 2263 1784 MR c np gr 1820 1510 mt 1892 1510 L 1856 1474 mt 1856 1546 L gs 898 389 2263 1784 MR c np gr 1819 1470 mt 1891 1470 L 1855 1434 mt 1855 1506 L gs 898 389 2263 1784 MR c np gr 1805 1575 mt 1877 1575 L 1841 1539 mt 1841 1611 L gs 898 389 2263 1784 MR c np gr 1792 1561 mt 1864 1561 L 1828 1525 mt 1828 1597 L gs 898 389 2263 1784 MR c np gr 1789 1426 mt 1861 1426 L 1825 1390 mt 1825 1462 L gs 898 389 2263 1784 MR c np gr 1762 1460 mt 1834 1460 L 1798 1424 mt 1798 1496 L gs 898 389 2263 1784 MR c np gr 1718 1588 mt 1790 1588 L 1754 1552 mt 1754 1624 L gs 898 389 2263 1784 MR c np gr 0 sg 1313 2322 mt (y) s 646 1258 mt -90 rotate (z) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1050 w @beginspecial 62 @llx 413 @lly 285 @urx 600 @ury 1080 @rwi @setspecial %%BeginDocument: figure_new/f2b_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/f2b_new.eps %%CreationDate: 06/28/2002 00:51:36 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 62 413 285 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 62 413 285 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 530 135 2680 2242 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 985 -982 -451 -1 -985 3161 1825 4 MP PP 983 451 0 985 -982 -451 -1 -985 3161 1825 5 MP stroke 983 451 1280 -346 -983 -452 1881 2172 4 MP PP -1280 347 983 451 1280 -346 -983 -452 1881 2172 5 MP stroke 0 985 1280 -346 0 -985 898 1720 4 MP PP -1280 346 0 985 1280 -346 0 -985 898 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2172 mt 3161 1825 L 1881 2172 mt 898 1720 L 898 1720 mt 898 735 L 2121 2107 mt 2151 2120 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 2182 2246 mt (-5) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 2921 1890 mt 2951 1904 L 2982 2029 mt (5) s 1696 2087 mt 1664 2096 L 1495 2216 mt (-5) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 1083 1805 mt 1051 1813 L 951 1933 mt (5) s 898 1535 mt 868 1522 L 701 1551 mt (-5) s 898 1227 mt 868 1214 L 771 1243 mt (0) s 898 920 mt 868 906 L 771 935 mt (5) s gs 898 389 2263 1784 MR c np gr /c8 { 1.000000 0.000000 0.000000 sr} bdef c8 36 36 2164 1072 FO 36 36 2127 1128 FO 36 36 2075 999 FO 36 36 2181 1038 FO 36 36 2013 1045 FO 36 36 2207 997 FO 36 36 2220 1003 FO 36 36 2184 1059 FO 36 36 2210 1049 FO 36 36 2163 1036 FO 36 36 2183 1067 FO 36 36 2249 1043 FO 36 36 1987 1001 FO 36 36 2298 980 FO 36 36 2189 1067 FO 36 36 2137 1028 FO 36 36 2281 1038 FO 36 36 2213 1066 FO 36 36 2134 1039 FO 36 36 2000 1021 FO 36 36 2141 1019 FO 36 36 1977 1040 FO 36 36 2255 1047 FO 36 36 2285 1007 FO 36 36 2086 1052 FO 36 36 2270 1045 FO 36 36 2308 1039 FO 36 36 1940 1038 FO 36 36 2009 1060 FO 36 36 2211 1035 FO 36 36 2044 1015 FO 36 36 2167 1008 FO 36 36 2252 1039 FO 36 36 2101 976 FO 36 36 2212 993 FO 36 36 2089 973 FO 36 36 2152 971 FO 36 36 2071 1075 FO 36 36 2203 1066 FO 36 36 2117 1035 FO 36 36 2016 1074 FO 36 36 2198 1048 FO 36 36 2010 1038 FO 36 36 2148 956 FO 36 36 2094 1062 FO 36 36 2220 1042 FO 36 36 2158 1032 FO 36 36 2010 1031 FO 36 36 2003 1101 FO 36 36 2195 1065 FO 36 36 2051 1055 FO 36 36 2179 1018 FO 36 36 2137 1005 FO 36 36 2299 1009 FO 36 36 2183 1021 FO 36 36 2100 1056 FO 36 36 2161 1023 FO 36 36 1950 1008 FO 36 36 2161 1047 FO 36 36 2205 1068 FO 36 36 2097 1016 FO 36 36 2156 1062 FO 36 36 2212 1004 FO 36 36 2013 1088 FO 36 36 2127 1005 FO 36 36 2164 994 FO 36 36 2197 1019 FO 36 36 2299 1075 FO 36 36 2121 1025 FO 36 36 2082 969 FO 36 36 2109 988 FO 36 36 2202 1080 FO 36 36 2100 1040 FO 36 36 2144 1055 FO 36 36 2070 1091 FO 36 36 2183 1069 FO 36 36 2117 1019 FO 36 36 2177 1035 FO 36 36 2239 996 FO 36 36 2120 1047 FO 36 36 2205 1029 FO 36 36 2167 1001 FO 36 36 2157 988 FO 36 36 1915 991 FO 36 36 2226 1063 FO 36 36 2208 1053 FO 36 36 1980 1022 FO 36 36 2090 1057 FO 36 36 2298 1045 FO 36 36 2096 1023 FO 36 36 2061 977 FO 36 36 2089 1007 FO 36 36 1954 988 FO 36 36 2049 1027 FO 36 36 2047 967 FO 36 36 2070 1060 FO 36 36 2259 1044 FO 36 36 2185 1023 FO 36 36 1986 1014 FO 36 36 2173 1067 FO gs 898 389 2263 1784 MR c np gr /c9 { 0.000000 0.000000 1.000000 sr} bdef c9 1829 1552 mt 1901 1552 L 1865 1516 mt 1865 1588 L 1891 1520 mt 1963 1520 L 1927 1484 mt 1927 1556 L 1802 1495 mt 1874 1495 L 1838 1459 mt 1838 1531 L 1792 1551 mt 1864 1551 L 1828 1515 mt 1828 1587 L 2026 1520 mt 2098 1520 L 2062 1484 mt 2062 1556 L 1796 1485 mt 1868 1485 L 1832 1449 mt 1832 1521 L 1890 1496 mt 1962 1496 L 1926 1460 mt 1926 1532 L 1825 1540 mt 1897 1540 L 1861 1504 mt 1861 1576 L 1803 1526 mt 1875 1526 L 1839 1490 mt 1839 1562 L 1954 1538 mt 2026 1538 L 1990 1502 mt 1990 1574 L 1853 1504 mt 1925 1504 L 1889 1468 mt 1889 1540 L 2030 1483 mt 2102 1483 L 2066 1447 mt 2066 1519 L 1837 1519 mt 1909 1519 L 1873 1483 mt 1873 1555 L 2141 1512 mt 2213 1512 L 2177 1476 mt 2177 1548 L 1925 1454 mt 1997 1454 L 1961 1418 mt 1961 1490 L 1714 1561 mt 1786 1561 L 1750 1525 mt 1750 1597 L 1880 1622 mt 1952 1622 L 1916 1586 mt 1916 1658 L 1822 1530 mt 1894 1530 L 1858 1494 mt 1858 1566 L 1804 1499 mt 1876 1499 L 1840 1463 mt 1840 1535 L 1859 1512 mt 1931 1512 L 1895 1476 mt 1895 1548 L 1880 1473 mt 1952 1473 L 1916 1437 mt 1916 1509 L 1758 1509 mt 1830 1509 L 1794 1473 mt 1794 1545 L 1895 1572 mt 1967 1572 L 1931 1536 mt 1931 1608 L 2023 1600 mt 2095 1600 L 2059 1564 mt 2059 1636 L 1786 1481 mt 1858 1481 L 1822 1445 mt 1822 1517 L 1896 1514 mt 1968 1514 L 1932 1478 mt 1932 1550 L 1982 1507 mt 2054 1507 L 2018 1471 mt 2018 1543 L 1973 1529 mt 2045 1529 L 2009 1493 mt 2009 1565 L 1851 1612 mt 1923 1612 L 1887 1576 mt 1887 1648 L 1940 1509 mt 2012 1509 L 1976 1473 mt 1976 1545 L 2048 1552 mt 2120 1552 L 2084 1516 mt 2084 1588 L 2000 1541 mt 2072 1541 L 2036 1505 mt 2036 1577 L 2016 1508 mt 2088 1508 L 2052 1472 mt 2052 1544 L 1877 1502 mt 1949 1502 L 1913 1466 mt 1913 1538 L 1820 1535 mt 1892 1535 L 1856 1499 mt 1856 1571 L 1968 1572 mt 2040 1572 L 2004 1536 mt 2004 1608 L 1608 1542 mt 1680 1542 L 1644 1506 mt 1644 1578 L 1934 1519 mt 2006 1519 L 1970 1483 mt 1970 1555 L 1792 1475 mt 1864 1475 L 1828 1439 mt 1828 1511 L 1924 1578 mt 1996 1578 L 1960 1542 mt 1960 1614 L 1893 1567 mt 1965 1567 L 1929 1531 mt 1929 1603 L 1857 1576 mt 1929 1576 L 1893 1540 mt 1893 1612 L 1900 1535 mt 1972 1535 L 1936 1499 mt 1936 1571 L 1988 1550 mt 2060 1550 L 2024 1514 mt 2024 1586 L 1930 1565 mt 2002 1565 L 1966 1529 mt 1966 1601 L 2003 1609 mt 2075 1609 L 2039 1573 mt 2039 1645 L 1946 1555 mt 2018 1555 L 1982 1519 mt 1982 1591 L 1867 1527 mt 1939 1527 L 1903 1491 mt 1903 1563 L 1831 1557 mt 1903 1557 L 1867 1521 mt 1867 1593 L 2012 1507 mt 2084 1507 L 2048 1471 mt 2048 1543 L 1940 1524 mt 2012 1524 L 1976 1488 mt 1976 1560 L 1990 1498 mt 2062 1498 L 2026 1462 mt 2026 1534 L 1888 1556 mt 1960 1556 L 1924 1520 mt 1924 1592 L 1850 1575 mt 1922 1575 L 1886 1539 mt 1886 1611 L 1931 1499 mt 2003 1499 L 1967 1463 mt 1967 1535 L 1927 1542 mt 1999 1542 L 1963 1506 mt 1963 1578 L 1822 1541 mt 1894 1541 L 1858 1505 mt 1858 1577 L 1949 1560 mt 2021 1560 L 1985 1524 mt 1985 1596 L 1744 1579 mt 1816 1579 L 1780 1543 mt 1780 1615 L 1939 1486 mt 2011 1486 L 1975 1450 mt 1975 1522 L 1873 1577 mt 1945 1577 L 1909 1541 mt 1909 1613 L 1833 1542 mt 1905 1542 L 1869 1506 mt 1869 1578 L 2020 1508 mt 2092 1508 L 2056 1472 mt 2056 1544 L 1829 1553 mt 1901 1553 L 1865 1517 mt 1865 1589 L 1886 1550 mt 1958 1550 L 1922 1514 mt 1922 1586 L 1984 1600 mt 2056 1600 L 2020 1564 mt 2020 1636 L 2037 1499 mt 2109 1499 L 2073 1463 mt 2073 1535 L 1818 1489 mt 1890 1489 L 1854 1453 mt 1854 1525 L 1770 1536 mt 1842 1536 L 1806 1500 mt 1806 1572 L 1830 1566 mt 1902 1566 L 1866 1530 mt 1866 1602 L 2078 1511 mt 2150 1511 L 2114 1475 mt 2114 1547 L 2039 1481 mt 2111 1481 L 2075 1445 mt 2075 1517 L 2053 1506 mt 2125 1506 L 2089 1470 mt 2089 1542 L 1829 1573 mt 1901 1573 L 1865 1537 mt 1865 1609 L 1877 1534 mt 1949 1534 L 1913 1498 mt 1913 1570 L 1804 1500 mt 1876 1500 L 1840 1464 mt 1840 1536 L 2077 1595 mt 2149 1595 L 2113 1559 mt 2113 1631 L 1815 1527 mt 1887 1527 L 1851 1491 mt 1851 1563 L 1881 1581 mt 1953 1581 L 1917 1545 mt 1917 1617 L 1803 1514 mt 1875 1514 L 1839 1478 mt 1839 1550 L 2134 1576 mt 2206 1576 L 2170 1540 mt 2170 1612 L 2103 1485 mt 2175 1485 L 2139 1449 mt 2139 1521 L 1912 1524 mt 1984 1524 L 1948 1488 mt 1948 1560 L 1902 1549 mt 1974 1549 L 1938 1513 mt 1938 1585 L 1967 1521 mt 2039 1521 L 2003 1485 mt 2003 1557 L 1951 1584 mt 2023 1584 L 1987 1548 mt 1987 1620 L 2117 1522 mt 2189 1522 L 2153 1486 mt 2153 1558 L 2037 1530 mt 2109 1530 L 2073 1494 mt 2073 1566 L 1776 1547 mt 1848 1547 L 1812 1511 mt 1812 1583 L 1879 1562 mt 1951 1562 L 1915 1526 mt 1915 1598 L 1911 1458 mt 1983 1458 L 1947 1422 mt 1947 1494 L 1920 1518 mt 1992 1518 L 1956 1482 mt 1956 1554 L 2044 1575 mt 2116 1575 L 2080 1539 mt 2080 1611 L 1787 1581 mt 1859 1581 L 1823 1545 mt 1823 1617 L 1956 1544 mt 2028 1544 L 1992 1508 mt 1992 1580 L 1946 1513 mt 2018 1513 L 1982 1477 mt 1982 1549 L 1860 1551 mt 1932 1551 L 1896 1515 mt 1896 1587 L 1834 1560 mt 1906 1560 L 1870 1524 mt 1870 1596 L 1928 1555 mt 2000 1555 L 1964 1519 mt 1964 1591 L 1816 1556 mt 1888 1556 L 1852 1520 mt 1852 1592 L gs 898 389 2263 1784 MR c np gr 0 sg 2461 2348 mt (x) s 1313 2322 mt (y) s 646 1258 mt -90 rotate (z) s 90 rotate 1161 294 mt (2-class data projection \(Newton\)) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1050 w @beginspecial 62 @llx 413 @lly 301 @urx 600 @ury 1080 @rwi @setspecial %%BeginDocument: figure_new/f2c_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/f2c_new.eps %%CreationDate: 06/28/2002 00:51:55 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 62 413 301 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 62 413 301 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 530 135 2874 2242 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 985 -983 -451 0 -985 3161 1825 4 MP PP 983 451 0 985 -983 -451 0 -985 3161 1825 5 MP stroke 983 451 1280 -346 -983 -452 1881 2172 4 MP PP -1280 347 983 451 1280 -346 -983 -452 1881 2172 5 MP stroke 0 985 1280 -346 0 -985 898 1720 4 MP PP -1280 346 0 985 1280 -346 0 -985 898 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2172 mt 3161 1825 L 1881 2172 mt 898 1720 L 898 1720 mt 898 735 L 1881 2172 mt 1911 2185 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 1942 2311 mt (-20) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 3161 1825 mt 3191 1839 L 3222 1964 mt (20) s 1881 2172 mt 1849 2180 L 1612 2300 mt (-20) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 898 1720 mt 867 1729 L 700 1849 mt (20) s 898 1535 mt 868 1522 L 701 1551 mt (-5) s 898 1227 mt 868 1214 L 771 1243 mt (0) s 898 920 mt 868 906 L 771 935 mt (5) s gs 898 389 2263 1784 MR c np gr /c8 { 1.000000 0.000000 0.000000 sr} bdef c8 36 36 2531 1144 FO gs 898 389 2263 1784 MR c np gr 36 36 2499 1153 FO gs 898 389 2263 1784 MR c np gr 36 36 2578 1132 FO gs 898 389 2263 1784 MR c np gr 36 36 2591 1128 FO gs 898 389 2263 1784 MR c np gr 36 36 2520 1147 FO gs 898 389 2263 1784 MR c np gr 36 36 2586 1129 FO gs 898 389 2263 1784 MR c np gr 36 36 2634 1116 FO gs 898 389 2263 1784 MR c np gr 36 36 2584 1130 FO gs 898 389 2263 1784 MR c np gr 36 36 2589 1129 FO gs 898 389 2263 1784 MR c np gr 36 36 2586 1129 FO gs 898 389 2263 1784 MR c np gr 36 36 2571 1134 FO gs 898 389 2263 1784 MR c np gr 36 36 2584 1130 FO gs 898 389 2263 1784 MR c np gr 36 36 2601 1125 FO gs 898 389 2263 1784 MR c np gr 36 36 2635 1116 FO gs 898 389 2263 1784 MR c np gr 36 36 2542 1141 FO gs 898 389 2263 1784 MR c np gr 36 36 2601 1125 FO gs 898 389 2263 1784 MR c np gr 36 36 2603 1125 FO gs 898 389 2263 1784 MR c np gr 36 36 2622 1120 FO gs 898 389 2263 1784 MR c np gr 36 36 2614 1122 FO gs 898 389 2263 1784 MR c np gr 36 36 2615 1122 FO gs 898 389 2263 1784 MR c np gr 36 36 2655 1111 FO gs 898 389 2263 1784 MR c np gr 36 36 2701 1098 FO gs 898 389 2263 1784 MR c np gr 36 36 2716 1094 FO gs 898 389 2263 1784 MR c np gr 36 36 2668 1107 FO gs 898 389 2263 1784 MR c np gr 36 36 2628 1118 FO gs 898 389 2263 1784 MR c np gr 36 36 2611 1123 FO gs 898 389 2263 1784 MR c np gr 36 36 2668 1107 FO gs 898 389 2263 1784 MR c np gr 36 36 2674 1106 FO gs 898 389 2263 1784 MR c np gr 36 36 2598 1126 FO gs 898 389 2263 1784 MR c np gr 36 36 2548 1140 FO gs 898 389 2263 1784 MR c np gr 36 36 2493 1155 FO gs 898 389 2263 1784 MR c np gr 36 36 2563 1136 FO gs 898 389 2263 1784 MR c np gr 36 36 2559 1137 FO gs 898 389 2263 1784 MR c np gr 36 36 2593 1128 FO gs 898 389 2263 1784 MR c np gr 36 36 2565 1135 FO gs 898 389 2263 1784 MR c np gr 36 36 2738 1088 FO gs 898 389 2263 1784 MR c np gr 36 36 2539 1142 FO gs 898 389 2263 1784 MR c np gr 36 36 2572 1133 FO gs 898 389 2263 1784 MR c np gr 36 36 2606 1124 FO gs 898 389 2263 1784 MR c np gr 36 36 2737 1089 FO gs 898 389 2263 1784 MR c np gr 36 36 2600 1126 FO gs 898 389 2263 1784 MR c np gr 36 36 2688 1102 FO gs 898 389 2263 1784 MR c np gr 36 36 2691 1101 FO gs 898 389 2263 1784 MR c np gr 36 36 2588 1129 FO gs 898 389 2263 1784 MR c np gr 36 36 2601 1125 FO gs 898 389 2263 1784 MR c np gr 36 36 2629 1118 FO gs 898 389 2263 1784 MR c np gr 36 36 2557 1137 FO gs 898 389 2263 1784 MR c np gr 36 36 2631 1117 FO gs 898 389 2263 1784 MR c np gr 36 36 2591 1128 FO gs 898 389 2263 1784 MR c np gr 36 36 2630 1118 FO gs 898 389 2263 1784 MR c np gr 36 36 2549 1139 FO gs 898 389 2263 1784 MR c np gr 36 36 2595 1127 FO gs 898 389 2263 1784 MR c np gr 36 36 2609 1123 FO gs 898 389 2263 1784 MR c np gr 36 36 2672 1106 FO gs 898 389 2263 1784 MR c np gr 36 36 2614 1122 FO gs 898 389 2263 1784 MR c np gr 36 36 2668 1107 FO gs 898 389 2263 1784 MR c np gr 36 36 2657 1110 FO gs 898 389 2263 1784 MR c np gr 36 36 2733 1090 FO gs 898 389 2263 1784 MR c np gr 36 36 2569 1134 FO gs 898 389 2263 1784 MR c np gr 36 36 2545 1141 FO gs 898 389 2263 1784 MR c np gr 36 36 2539 1142 FO gs 898 389 2263 1784 MR c np gr 36 36 2526 1146 FO gs 898 389 2263 1784 MR c np gr 36 36 2625 1119 FO gs 898 389 2263 1784 MR c np gr 36 36 2534 1143 FO gs 898 389 2263 1784 MR c np gr 36 36 2529 1145 FO gs 898 389 2263 1784 MR c np gr 36 36 2527 1145 FO gs 898 389 2263 1784 MR c np gr 36 36 2696 1100 FO gs 898 389 2263 1784 MR c np gr 36 36 2524 1146 FO gs 898 389 2263 1784 MR c np gr 36 36 2522 1147 FO gs 898 389 2263 1784 MR c np gr 36 36 2520 1147 FO gs 898 389 2263 1784 MR c np gr 36 36 2661 1109 FO gs 898 389 2263 1784 MR c np gr 36 36 2669 1107 FO gs 898 389 2263 1784 MR c np gr 36 36 2532 1144 FO gs 898 389 2263 1784 MR c np gr 36 36 2526 1146 FO gs 898 389 2263 1784 MR c np gr 36 36 2530 1145 FO gs 898 389 2263 1784 MR c np gr 36 36 2628 1118 FO gs 898 389 2263 1784 MR c np gr 36 36 2695 1100 FO gs 898 389 2263 1784 MR c np gr 36 36 2722 1093 FO gs 898 389 2263 1784 MR c np gr 36 36 2728 1091 FO gs 898 389 2263 1784 MR c np gr 36 36 2771 1079 FO gs 898 389 2263 1784 MR c np gr 36 36 2735 1089 FO gs 898 389 2263 1784 MR c np gr 36 36 2687 1102 FO gs 898 389 2263 1784 MR c np gr 36 36 2680 1104 FO gs 898 389 2263 1784 MR c np gr 36 36 2672 1106 FO gs 898 389 2263 1784 MR c np gr 36 36 2660 1109 FO gs 898 389 2263 1784 MR c np gr 36 36 2650 1112 FO gs 898 389 2263 1784 MR c np gr 36 36 2636 1116 FO gs 898 389 2263 1784 MR c np gr 36 36 2584 1130 FO gs 898 389 2263 1784 MR c np gr 36 36 2578 1131 FO gs 898 389 2263 1784 MR c np gr 36 36 2569 1134 FO gs 898 389 2263 1784 MR c np gr 36 36 2566 1135 FO gs 898 389 2263 1784 MR c np gr 36 36 2539 1142 FO gs 898 389 2263 1784 MR c np gr 36 36 2525 1146 FO gs 898 389 2263 1784 MR c np gr 36 36 2461 1163 FO gs 898 389 2263 1784 MR c np gr 36 36 2511 1150 FO gs 898 389 2263 1784 MR c np gr 36 36 2496 1154 FO gs 898 389 2263 1784 MR c np gr 0 sg 2461 2348 mt (x) s gs 898 389 2263 1784 MR c np gr c8 36 36 2460 1163 FO gs 898 389 2263 1784 MR c np gr 36 36 2430 1172 FO gs 898 389 2263 1784 MR c np gr 36 36 2382 1185 FO gs 898 389 2263 1784 MR c np gr 0 sg 1306 294 mt (2-class data projection \(IP\)) s gs 898 389 2263 1784 MR c np gr /c9 { 0.000000 0.000000 1.000000 sr} bdef c9 1502 1413 mt 1574 1413 L 1538 1377 mt 1538 1449 L gs 898 389 2263 1784 MR c np gr 1439 1430 mt 1511 1430 L 1475 1394 mt 1475 1466 L gs 898 389 2263 1784 MR c np gr 1482 1418 mt 1554 1418 L 1518 1382 mt 1518 1454 L gs 898 389 2263 1784 MR c np gr 1394 1442 mt 1466 1442 L 1430 1406 mt 1430 1478 L gs 898 389 2263 1784 MR c np gr 1491 1416 mt 1563 1416 L 1527 1380 mt 1527 1452 L gs 898 389 2263 1784 MR c np gr 1312 1464 mt 1384 1464 L 1348 1428 mt 1348 1500 L gs 898 389 2263 1784 MR c np gr 1359 1452 mt 1431 1452 L 1395 1416 mt 1395 1488 L gs 898 389 2263 1784 MR c np gr 1361 1451 mt 1433 1451 L 1397 1415 mt 1397 1487 L gs 898 389 2263 1784 MR c np gr 1345 1456 mt 1417 1456 L 1381 1420 mt 1381 1492 L gs 898 389 2263 1784 MR c np gr 1353 1453 mt 1425 1453 L 1389 1417 mt 1389 1489 L gs 898 389 2263 1784 MR c np gr 1387 1444 mt 1459 1444 L 1423 1408 mt 1423 1480 L gs 898 389 2263 1784 MR c np gr 1447 1428 mt 1519 1428 L 1483 1392 mt 1483 1464 L gs 898 389 2263 1784 MR c np gr 1346 1455 mt 1418 1455 L 1382 1419 mt 1382 1491 L gs 898 389 2263 1784 MR c np gr 1447 1428 mt 1519 1428 L 1483 1392 mt 1483 1464 L gs 898 389 2263 1784 MR c np gr 1336 1458 mt 1408 1458 L 1372 1422 mt 1372 1494 L gs 898 389 2263 1784 MR c np gr 1311 1465 mt 1383 1465 L 1347 1429 mt 1347 1501 L gs 898 389 2263 1784 MR c np gr 1314 1464 mt 1386 1464 L 1350 1428 mt 1350 1500 L gs 898 389 2263 1784 MR c np gr 1316 1463 mt 1388 1463 L 1352 1427 mt 1352 1499 L gs 898 389 2263 1784 MR c np gr 1294 1469 mt 1366 1469 L 1330 1433 mt 1330 1505 L gs 898 389 2263 1784 MR c np gr 1394 1442 mt 1466 1442 L 1430 1406 mt 1430 1478 L gs 898 389 2263 1784 MR c np gr 1490 1416 mt 1562 1416 L 1526 1380 mt 1526 1452 L gs 898 389 2263 1784 MR c np gr 1363 1451 mt 1435 1451 L 1399 1415 mt 1399 1487 L gs 898 389 2263 1784 MR c np gr 1295 1469 mt 1367 1469 L 1331 1433 mt 1331 1505 L gs 898 389 2263 1784 MR c np gr 1304 1467 mt 1376 1467 L 1340 1431 mt 1340 1503 L gs 898 389 2263 1784 MR c np gr 1332 1459 mt 1404 1459 L 1368 1423 mt 1368 1495 L gs 898 389 2263 1784 MR c np gr 1503 1413 mt 1575 1413 L 1539 1377 mt 1539 1449 L gs 898 389 2263 1784 MR c np gr 1412 1437 mt 1484 1437 L 1448 1401 mt 1448 1473 L gs 898 389 2263 1784 MR c np gr 1448 1428 mt 1520 1428 L 1484 1392 mt 1484 1464 L gs 898 389 2263 1784 MR c np gr 1464 1423 mt 1536 1423 L 1500 1387 mt 1500 1459 L gs 898 389 2263 1784 MR c np gr 1479 1419 mt 1551 1419 L 1515 1383 mt 1515 1455 L gs 898 389 2263 1784 MR c np gr 1363 1451 mt 1435 1451 L 1399 1415 mt 1399 1487 L gs 898 389 2263 1784 MR c np gr 1362 1451 mt 1434 1451 L 1398 1415 mt 1398 1487 L gs 898 389 2263 1784 MR c np gr 1369 1449 mt 1441 1449 L 1405 1413 mt 1405 1485 L gs 898 389 2263 1784 MR c np gr 1388 1444 mt 1460 1444 L 1424 1408 mt 1424 1480 L gs 898 389 2263 1784 MR c np gr 1384 1445 mt 1456 1445 L 1420 1409 mt 1420 1481 L gs 898 389 2263 1784 MR c np gr 1401 1440 mt 1473 1440 L 1437 1404 mt 1437 1476 L gs 898 389 2263 1784 MR c np gr 1362 1451 mt 1434 1451 L 1398 1415 mt 1398 1487 L gs 898 389 2263 1784 MR c np gr 1397 1441 mt 1469 1441 L 1433 1405 mt 1433 1477 L gs 898 389 2263 1784 MR c np gr 1379 1446 mt 1451 1446 L 1415 1410 mt 1415 1482 L gs 898 389 2263 1784 MR c np gr 1471 1421 mt 1543 1421 L 1507 1385 mt 1507 1457 L gs 898 389 2263 1784 MR c np gr 1407 1439 mt 1479 1439 L 1443 1403 mt 1443 1475 L gs 898 389 2263 1784 MR c np gr 1436 1431 mt 1508 1431 L 1472 1395 mt 1472 1467 L gs 898 389 2263 1784 MR c np gr 1408 1439 mt 1480 1439 L 1444 1403 mt 1444 1475 L gs 898 389 2263 1784 MR c np gr 1456 1425 mt 1528 1425 L 1492 1389 mt 1492 1461 L gs 898 389 2263 1784 MR c np gr 1484 1418 mt 1556 1418 L 1520 1382 mt 1520 1454 L gs 898 389 2263 1784 MR c np gr 1344 1456 mt 1416 1456 L 1380 1420 mt 1380 1492 L gs 898 389 2263 1784 MR c np gr 1374 1448 mt 1446 1448 L 1410 1412 mt 1410 1484 L gs 898 389 2263 1784 MR c np gr 1333 1459 mt 1405 1459 L 1369 1423 mt 1369 1495 L gs 898 389 2263 1784 MR c np gr 1481 1419 mt 1553 1419 L 1517 1383 mt 1517 1455 L gs 898 389 2263 1784 MR c np gr 1437 1431 mt 1509 1431 L 1473 1395 mt 1473 1467 L gs 898 389 2263 1784 MR c np gr 1315 1464 mt 1387 1464 L 1351 1428 mt 1351 1500 L gs 898 389 2263 1784 MR c np gr 1368 1449 mt 1440 1449 L 1404 1413 mt 1404 1485 L gs 898 389 2263 1784 MR c np gr 1431 1432 mt 1503 1432 L 1467 1396 mt 1467 1468 L gs 898 389 2263 1784 MR c np gr 1449 1427 mt 1521 1427 L 1485 1391 mt 1485 1463 L gs 898 389 2263 1784 MR c np gr 1486 1417 mt 1558 1417 L 1522 1381 mt 1522 1453 L gs 898 389 2263 1784 MR c np gr 1543 1402 mt 1615 1402 L 1579 1366 mt 1579 1438 L gs 898 389 2263 1784 MR c np gr 1584 1391 mt 1656 1391 L 1620 1355 mt 1620 1427 L gs 898 389 2263 1784 MR c np gr 1504 1413 mt 1576 1413 L 1540 1377 mt 1540 1449 L gs 898 389 2263 1784 MR c np gr 1511 1410 mt 1583 1410 L 1547 1374 mt 1547 1446 L gs 898 389 2263 1784 MR c np gr 1546 1401 mt 1618 1401 L 1582 1365 mt 1582 1437 L gs 898 389 2263 1784 MR c np gr 1533 1405 mt 1605 1405 L 1569 1369 mt 1569 1441 L gs 898 389 2263 1784 MR c np gr 1275 1474 mt 1347 1474 L 1311 1438 mt 1311 1510 L gs 898 389 2263 1784 MR c np gr 1270 1476 mt 1342 1476 L 1306 1440 mt 1306 1512 L gs 898 389 2263 1784 MR c np gr 1334 1458 mt 1406 1458 L 1370 1422 mt 1370 1494 L gs 898 389 2263 1784 MR c np gr 1325 1461 mt 1397 1461 L 1361 1425 mt 1361 1497 L gs 898 389 2263 1784 MR c np gr 1253 1480 mt 1325 1480 L 1289 1444 mt 1289 1516 L gs 898 389 2263 1784 MR c np gr 1304 1466 mt 1376 1466 L 1340 1430 mt 1340 1502 L gs 898 389 2263 1784 MR c np gr 1292 1470 mt 1364 1470 L 1328 1434 mt 1328 1506 L gs 898 389 2263 1784 MR c np gr 1230 1487 mt 1302 1487 L 1266 1451 mt 1266 1523 L gs 898 389 2263 1784 MR c np gr 1212 1492 mt 1284 1492 L 1248 1456 mt 1248 1528 L gs 898 389 2263 1784 MR c np gr 1419 1435 mt 1491 1435 L 1455 1399 mt 1455 1471 L gs 898 389 2263 1784 MR c np gr 1474 1421 mt 1546 1421 L 1510 1385 mt 1510 1457 L gs 898 389 2263 1784 MR c np gr 1497 1414 mt 1569 1414 L 1533 1378 mt 1533 1450 L gs 898 389 2263 1784 MR c np gr 1456 1426 mt 1528 1426 L 1492 1390 mt 1492 1462 L gs 898 389 2263 1784 MR c np gr 1520 1408 mt 1592 1408 L 1556 1372 mt 1556 1444 L gs 898 389 2263 1784 MR c np gr 1481 1419 mt 1553 1419 L 1517 1383 mt 1517 1455 L gs 898 389 2263 1784 MR c np gr 1409 1438 mt 1481 1438 L 1445 1402 mt 1445 1474 L gs 898 389 2263 1784 MR c np gr 1423 1434 mt 1495 1434 L 1459 1398 mt 1459 1470 L gs 898 389 2263 1784 MR c np gr 1369 1449 mt 1441 1449 L 1405 1413 mt 1405 1485 L gs 898 389 2263 1784 MR c np gr 1366 1450 mt 1438 1450 L 1402 1414 mt 1402 1486 L gs 898 389 2263 1784 MR c np gr 1524 1407 mt 1596 1407 L 1560 1371 mt 1560 1443 L gs 898 389 2263 1784 MR c np gr 1410 1438 mt 1482 1438 L 1446 1402 mt 1446 1474 L gs 898 389 2263 1784 MR c np gr 1494 1415 mt 1566 1415 L 1530 1379 mt 1530 1451 L gs 898 389 2263 1784 MR c np gr 1541 1403 mt 1613 1403 L 1577 1367 mt 1577 1439 L gs 898 389 2263 1784 MR c np gr 1442 1429 mt 1514 1429 L 1478 1393 mt 1478 1465 L gs 898 389 2263 1784 MR c np gr 1594 1388 mt 1666 1388 L 1630 1352 mt 1630 1424 L gs 898 389 2263 1784 MR c np gr 1545 1401 mt 1617 1401 L 1581 1365 mt 1581 1437 L gs 898 389 2263 1784 MR c np gr 1482 1418 mt 1554 1418 L 1518 1382 mt 1518 1454 L gs 898 389 2263 1784 MR c np gr 1481 1419 mt 1553 1419 L 1517 1383 mt 1517 1455 L gs 898 389 2263 1784 MR c np gr 1481 1419 mt 1553 1419 L 1517 1383 mt 1517 1455 L gs 898 389 2263 1784 MR c np gr 1461 1424 mt 1533 1424 L 1497 1388 mt 1497 1460 L gs 898 389 2263 1784 MR c np gr 1457 1425 mt 1529 1425 L 1493 1389 mt 1493 1461 L gs 898 389 2263 1784 MR c np gr 1453 1426 mt 1525 1426 L 1489 1390 mt 1489 1462 L gs 898 389 2263 1784 MR c np gr 1435 1431 mt 1507 1431 L 1471 1395 mt 1471 1467 L gs 898 389 2263 1784 MR c np gr 1419 1435 mt 1491 1435 L 1455 1399 mt 1455 1471 L gs 898 389 2263 1784 MR c np gr 1390 1443 mt 1462 1443 L 1426 1407 mt 1426 1479 L gs 898 389 2263 1784 MR c np gr 1387 1444 mt 1459 1444 L 1423 1408 mt 1423 1480 L gs 898 389 2263 1784 MR c np gr 1354 1453 mt 1426 1453 L 1390 1417 mt 1390 1489 L gs 898 389 2263 1784 MR c np gr 1342 1456 mt 1414 1456 L 1378 1420 mt 1378 1492 L gs 898 389 2263 1784 MR c np gr 0 sg 1313 2322 mt (y) s gs 898 389 2263 1784 MR c np gr c9 1331 1459 mt 1403 1459 L 1367 1423 mt 1367 1495 L gs 898 389 2263 1784 MR c np gr 0 sg 646 1258 mt -90 rotate (z) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial FA 884 846 a(\(a\)) 925 b(\(b\)) f(\(c\)) p Fn 450 964 a(Figure) 25 b(2:) 37 b(\(a\)) 25 b(Original) g(data,) i (with) e(the) h(dif) n(ferent) f(classes) h(indicated) g(by) g(the) g (dif) n(ferent) f(symbo) r(ls) g(\(and) h(col-) 450 1047 y(ors,) k(where) f(a) o(v) n(ailable\).) 51 b(\(b\)) 28 b(Rescaling) h(of) f(data) g(correspo) r(nding) h(to) f(learned) h (diagonal) p Fm 29 w(A) p Fn(.) 50 b(\(c\)) 28 b(Rescaling) 450 1130 y(correspon) r(ding) 19 b(to) g(full) p Fm 18 w(A) p Fn(.) 450 1959 y @beginspecial 62 @llx 413 @lly 285 @urx 600 @ury 1080 @rwi @setspecial %%BeginDocument: figure_new/f3a_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/f3a_new.eps %%CreationDate: 06/28/2002 01:09:15 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 62 413 285 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 62 413 285 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 530 135 2680 2242 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 985 -982 -451 0 -985 3160 1825 4 MP PP 982 451 0 985 -982 -451 0 -985 3160 1825 5 MP stroke 982 451 1280 -346 -983 -452 1881 2172 4 MP PP -1279 347 982 451 1280 -346 -983 -452 1881 2172 5 MP stroke 0 985 1280 -346 0 -985 898 1720 4 MP PP -1280 346 0 985 1280 -346 0 -985 898 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2172 mt 3160 1825 L 1881 2172 mt 898 1720 L 898 1720 mt 898 735 L 2121 2107 mt 2151 2120 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 2182 2246 mt (-5) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 2921 1890 mt 2951 1904 L 2982 2029 mt (5) s 1696 2087 mt 1664 2096 L 1495 2216 mt (-5) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 1083 1805 mt 1051 1813 L 951 1933 mt (5) s 898 1556 mt 868 1542 L 701 1572 mt (-2) s 898 1227 mt 868 1214 L 771 1243 mt (0) s 898 899 mt 868 885 L 771 915 mt (2) s gs 898 389 2263 1784 MR c np gr /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 2358 982 mt 2408 1032 L 2408 982 mt 2358 1032 L gs 898 389 2263 1784 MR c np gr 2347 1146 mt 2397 1196 L 2397 1146 mt 2347 1196 L gs 898 389 2263 1784 MR c np gr 2379 1167 mt 2429 1217 L 2429 1167 mt 2379 1217 L gs 898 389 2263 1784 MR c np gr 2433 1145 mt 2483 1195 L 2483 1145 mt 2433 1195 L gs 898 389 2263 1784 MR c np gr 2468 1212 mt 2518 1262 L 2518 1212 mt 2468 1262 L gs 898 389 2263 1784 MR c np gr 2257 1043 mt 2307 1093 L 2307 1043 mt 2257 1093 L gs 898 389 2263 1784 MR c np gr 2264 1029 mt 2314 1079 L 2314 1029 mt 2264 1079 L gs 898 389 2263 1784 MR c np gr 2329 1271 mt 2379 1321 L 2379 1271 mt 2329 1321 L gs 898 389 2263 1784 MR c np gr 2383 1054 mt 2433 1104 L 2433 1054 mt 2383 1104 L gs 898 389 2263 1784 MR c np gr 2471 1352 mt 2521 1402 L 2521 1352 mt 2471 1402 L gs 898 389 2263 1784 MR c np gr 2448 995 mt 2498 1045 L 2498 995 mt 2448 1045 L gs 898 389 2263 1784 MR c np gr 2501 967 mt 2551 1017 L 2551 967 mt 2501 1017 L gs 898 389 2263 1784 MR c np gr 2492 1312 mt 2542 1362 L 2542 1312 mt 2492 1362 L gs 898 389 2263 1784 MR c np gr 2307 1304 mt 2357 1354 L 2357 1304 mt 2307 1354 L gs 898 389 2263 1784 MR c np gr 2318 1094 mt 2368 1144 L 2368 1094 mt 2318 1144 L gs 898 389 2263 1784 MR c np gr 2324 1136 mt 2374 1186 L 2374 1136 mt 2324 1186 L gs 898 389 2263 1784 MR c np gr 2331 1142 mt 2381 1192 L 2381 1142 mt 2331 1192 L gs 898 389 2263 1784 MR c np gr 2339 1301 mt 2389 1351 L 2389 1301 mt 2339 1351 L gs 898 389 2263 1784 MR c np gr 2477 1169 mt 2527 1219 L 2527 1169 mt 2477 1219 L gs 898 389 2263 1784 MR c np gr 2223 1227 mt 2273 1277 L 2273 1227 mt 2223 1277 L gs 898 389 2263 1784 MR c np gr 2205 1397 mt 2255 1447 L 2255 1397 mt 2205 1447 L gs 898 389 2263 1784 MR c np gr 2467 1464 mt 2517 1514 L 2517 1464 mt 2467 1514 L gs 898 389 2263 1784 MR c np gr 2233 1119 mt 2283 1169 L 2283 1119 mt 2233 1169 L gs 898 389 2263 1784 MR c np gr 2203 1272 mt 2253 1322 L 2253 1272 mt 2203 1322 L gs 898 389 2263 1784 MR c np gr 2233 1163 mt 2283 1213 L 2283 1163 mt 2233 1213 L gs 898 389 2263 1784 MR c np gr 2255 998 mt 2305 1048 L 2305 998 mt 2255 1048 L gs 898 389 2263 1784 MR c np gr 2308 1056 mt 2358 1106 L 2358 1056 mt 2308 1106 L gs 898 389 2263 1784 MR c np gr 2313 1298 mt 2363 1348 L 2363 1298 mt 2313 1348 L gs 898 389 2263 1784 MR c np gr 2437 1021 mt 2487 1071 L 2487 1021 mt 2437 1071 L gs 898 389 2263 1784 MR c np gr 2367 1210 mt 2417 1260 L 2417 1210 mt 2367 1260 L gs 898 389 2263 1784 MR c np gr 2277 1374 mt 2327 1424 L 2327 1374 mt 2277 1424 L gs 898 389 2263 1784 MR c np gr 2363 1334 mt 2413 1384 L 2413 1334 mt 2363 1384 L gs 898 389 2263 1784 MR c np gr 2442 1166 mt 2492 1216 L 2492 1166 mt 2442 1216 L gs 898 389 2263 1784 MR c np gr 2456 1020 mt 2506 1070 L 2506 1020 mt 2456 1070 L gs 898 389 2263 1784 MR c np gr 0 sg 2461 2348 mt (x) s gs 898 389 2263 1784 MR c np gr c8 2422 1028 mt 2472 1078 L 2472 1028 mt 2422 1078 L gs 898 389 2263 1784 MR c np gr 2413 1248 mt 2463 1298 L 2463 1248 mt 2413 1298 L gs 898 389 2263 1784 MR c np gr 2331 1105 mt 2381 1155 L 2381 1105 mt 2331 1155 L gs 898 389 2263 1784 MR c np gr 2318 1205 mt 2368 1255 L 2368 1205 mt 2318 1255 L gs 898 389 2263 1784 MR c np gr 2301 1294 mt 2351 1344 L 2351 1294 mt 2301 1344 L gs 898 389 2263 1784 MR c np gr 2293 1092 mt 2343 1142 L 2343 1092 mt 2293 1142 L gs 898 389 2263 1784 MR c np gr 2282 1144 mt 2332 1194 L 2332 1144 mt 2282 1194 L gs 898 389 2263 1784 MR c np gr 2281 937 mt 2331 987 L 2331 937 mt 2281 987 L gs 898 389 2263 1784 MR c np gr 2269 1176 mt 2319 1226 L 2319 1176 mt 2269 1226 L gs 898 389 2263 1784 MR c np gr 2269 982 mt 2319 1032 L 2319 982 mt 2269 1032 L gs 898 389 2263 1784 MR c np gr 2249 1368 mt 2299 1418 L 2299 1368 mt 2249 1418 L gs 898 389 2263 1784 MR c np gr 2139 1322 mt 2189 1372 L 2189 1322 mt 2139 1372 L gs 898 389 2263 1784 MR c np gr 2234 1086 mt 2284 1136 L 2284 1086 mt 2234 1136 L gs 898 389 2263 1784 MR c np gr 2230 1154 mt 2280 1204 L 2280 1154 mt 2230 1204 L gs 898 389 2263 1784 MR c np gr 2186 1311 mt 2236 1361 L 2236 1311 mt 2186 1361 L gs 898 389 2263 1784 MR c np gr 2160 1301 mt 2210 1351 L 2210 1301 mt 2160 1351 L gs 898 389 2263 1784 MR c np gr 0 sg 1446 294 mt (3-class data \(original\)) s gs 898 389 2263 1784 MR c np gr /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 1598 710 mt 1670 710 L 1634 674 mt 1634 746 L gs 898 389 2263 1784 MR c np gr 1480 997 mt 1552 997 L 1516 961 mt 1516 1033 L gs 898 389 2263 1784 MR c np gr 1633 1235 mt 1705 1235 L 1669 1199 mt 1669 1271 L gs 898 389 2263 1784 MR c np gr 1575 1276 mt 1647 1276 L 1611 1240 mt 1611 1312 L gs 898 389 2263 1784 MR c np gr 1479 1028 mt 1551 1028 L 1515 992 mt 1515 1064 L gs 898 389 2263 1784 MR c np gr 1491 1252 mt 1563 1252 L 1527 1216 mt 1527 1288 L gs 898 389 2263 1784 MR c np gr 1430 1152 mt 1502 1152 L 1466 1116 mt 1466 1188 L gs 898 389 2263 1784 MR c np gr 1513 1117 mt 1585 1117 L 1549 1081 mt 1549 1153 L gs 898 389 2263 1784 MR c np gr 1595 1022 mt 1667 1022 L 1631 986 mt 1631 1058 L gs 898 389 2263 1784 MR c np gr 1662 1307 mt 1734 1307 L 1698 1271 mt 1698 1343 L gs 898 389 2263 1784 MR c np gr 1686 1310 mt 1758 1310 L 1722 1274 mt 1722 1346 L gs 898 389 2263 1784 MR c np gr 1845 1021 mt 1917 1021 L 1881 985 mt 1881 1057 L gs 898 389 2263 1784 MR c np gr 1677 937 mt 1749 937 L 1713 901 mt 1713 973 L gs 898 389 2263 1784 MR c np gr 1444 911 mt 1516 911 L 1480 875 mt 1480 947 L gs 898 389 2263 1784 MR c np gr 1484 1061 mt 1556 1061 L 1520 1025 mt 1520 1097 L gs 898 389 2263 1784 MR c np gr 1516 789 mt 1588 789 L 1552 753 mt 1552 825 L gs 898 389 2263 1784 MR c np gr 1558 1098 mt 1630 1098 L 1594 1062 mt 1594 1134 L gs 898 389 2263 1784 MR c np gr 1670 1053 mt 1742 1053 L 1706 1017 mt 1706 1089 L gs 898 389 2263 1784 MR c np gr 1532 1131 mt 1604 1131 L 1568 1095 mt 1568 1167 L gs 898 389 2263 1784 MR c np gr 1518 985 mt 1590 985 L 1554 949 mt 1554 1021 L gs 898 389 2263 1784 MR c np gr 1552 1192 mt 1624 1192 L 1588 1156 mt 1588 1228 L gs 898 389 2263 1784 MR c np gr 1568 1122 mt 1640 1122 L 1604 1086 mt 1604 1158 L gs 898 389 2263 1784 MR c np gr 1731 1041 mt 1803 1041 L 1767 1005 mt 1767 1077 L gs 898 389 2263 1784 MR c np gr 1633 1095 mt 1705 1095 L 1669 1059 mt 1669 1131 L gs 898 389 2263 1784 MR c np gr 1526 1377 mt 1598 1377 L 1562 1341 mt 1562 1413 L gs 898 389 2263 1784 MR c np gr 1566 1278 mt 1638 1278 L 1602 1242 mt 1602 1314 L gs 898 389 2263 1784 MR c np gr 1499 968 mt 1571 968 L 1535 932 mt 1535 1004 L gs 898 389 2263 1784 MR c np gr 1614 1133 mt 1686 1133 L 1650 1097 mt 1650 1169 L gs 898 389 2263 1784 MR c np gr 1610 1280 mt 1682 1280 L 1646 1244 mt 1646 1316 L gs 898 389 2263 1784 MR c np gr 1667 1203 mt 1739 1203 L 1703 1167 mt 1703 1239 L gs 898 389 2263 1784 MR c np gr 1585 1414 mt 1657 1414 L 1621 1378 mt 1621 1450 L gs 898 389 2263 1784 MR c np gr 1503 1180 mt 1575 1180 L 1539 1144 mt 1539 1216 L gs 898 389 2263 1784 MR c np gr 1640 1268 mt 1712 1268 L 1676 1232 mt 1676 1304 L gs 898 389 2263 1784 MR c np gr /c10 { 0.000000 1.000000 0.000000 sr} bdef c10 36 36 1615 1183 FO gs 898 389 2263 1784 MR c np gr c9 1650 1372 mt 1722 1372 L 1686 1336 mt 1686 1408 L gs 898 389 2263 1784 MR c np gr c10 36 36 1778 1234 FO gs 898 389 2263 1784 MR c np gr 36 36 1709 1232 FO gs 898 389 2263 1784 MR c np gr 36 36 1806 1406 FO gs 898 389 2263 1784 MR c np gr 36 36 1668 1656 FO gs 898 389 2263 1784 MR c np gr 36 36 1634 1351 FO gs 898 389 2263 1784 MR c np gr 36 36 1663 1487 FO gs 898 389 2263 1784 MR c np gr 36 36 1782 1838 FO gs 898 389 2263 1784 MR c np gr 36 36 1632 1284 FO gs 898 389 2263 1784 MR c np gr c9 1424 943 mt 1496 943 L 1460 907 mt 1460 979 L gs 898 389 2263 1784 MR c np gr c10 36 36 1526 1379 FO gs 898 389 2263 1784 MR c np gr c9 1541 1181 mt 1613 1181 L 1577 1145 mt 1577 1217 L gs 898 389 2263 1784 MR c np gr c10 36 36 1625 1296 FO gs 898 389 2263 1784 MR c np gr 36 36 1768 1222 FO gs 898 389 2263 1784 MR c np gr 36 36 1789 1303 FO gs 898 389 2263 1784 MR c np gr 36 36 1598 1279 FO gs 898 389 2263 1784 MR c np gr 36 36 1689 1403 FO gs 898 389 2263 1784 MR c np gr c9 1641 1065 mt 1713 1065 L 1677 1029 mt 1677 1101 L gs 898 389 2263 1784 MR c np gr c10 36 36 1688 1331 FO gs 898 389 2263 1784 MR c np gr c9 1746 1260 mt 1818 1260 L 1782 1224 mt 1782 1296 L gs 898 389 2263 1784 MR c np gr c10 36 36 1854 1285 FO gs 898 389 2263 1784 MR c np gr 36 36 1759 941 FO gs 898 389 2263 1784 MR c np gr 36 36 1748 1198 FO gs 898 389 2263 1784 MR c np gr 36 36 1761 1131 FO gs 898 389 2263 1784 MR c np gr 36 36 1951 1145 FO gs 898 389 2263 1784 MR c np gr 36 36 1830 1170 FO gs 898 389 2263 1784 MR c np gr 36 36 1737 1223 FO gs 898 389 2263 1784 MR c np gr 36 36 1629 1206 FO gs 898 389 2263 1784 MR c np gr 36 36 1626 1352 FO gs 898 389 2263 1784 MR c np gr 36 36 1765 1657 FO gs 898 389 2263 1784 MR c np gr 36 36 1951 1424 FO gs 898 389 2263 1784 MR c np gr 36 36 1898 1333 FO gs 898 389 2263 1784 MR c np gr 36 36 1781 1395 FO gs 898 389 2263 1784 MR c np gr 36 36 1775 1001 FO gs 898 389 2263 1784 MR c np gr 36 36 1774 1576 FO gs 898 389 2263 1784 MR c np gr 36 36 1767 1484 FO gs 898 389 2263 1784 MR c np gr 36 36 1698 1412 FO gs 898 389 2263 1784 MR c np gr 36 36 1585 1640 FO gs 898 389 2263 1784 MR c np gr 36 36 1645 1499 FO gs 898 389 2263 1784 MR c np gr 36 36 1727 1886 FO gs 898 389 2263 1784 MR c np gr 36 36 1765 1452 FO gs 898 389 2263 1784 MR c np gr 36 36 1763 1131 FO gs 898 389 2263 1784 MR c np gr 36 36 1746 1389 FO gs 898 389 2263 1784 MR c np gr 36 36 1698 1300 FO gs 898 389 2263 1784 MR c np gr 36 36 1691 1305 FO gs 898 389 2263 1784 MR c np gr 36 36 1679 1447 FO gs 898 389 2263 1784 MR c np gr c9 1626 1155 mt 1698 1155 L 1662 1119 mt 1662 1191 L gs 898 389 2263 1784 MR c np gr c10 36 36 1641 1427 FO gs 898 389 2263 1784 MR c np gr c9 1600 985 mt 1672 985 L 1636 949 mt 1636 1021 L gs 898 389 2263 1784 MR c np gr c10 36 36 1614 1430 FO gs 898 389 2263 1784 MR c np gr c9 1527 1055 mt 1599 1055 L 1563 1019 mt 1563 1091 L gs 898 389 2263 1784 MR c np gr c10 36 36 1596 1023 FO gs 898 389 2263 1784 MR c np gr 36 36 1562 1114 FO gs 898 389 2263 1784 MR c np gr c9 1513 1155 mt 1585 1155 L 1549 1119 mt 1549 1191 L gs 898 389 2263 1784 MR c np gr 1510 1279 mt 1582 1279 L 1546 1243 mt 1546 1315 L gs 898 389 2263 1784 MR c np gr c10 36 36 1541 1353 FO gs 898 389 2263 1784 MR c np gr c9 1497 1117 mt 1569 1117 L 1533 1081 mt 1533 1153 L gs 898 389 2263 1784 MR c np gr 1484 1012 mt 1556 1012 L 1520 976 mt 1520 1048 L gs 898 389 2263 1784 MR c np gr 1470 1157 mt 1542 1157 L 1506 1121 mt 1506 1193 L gs 898 389 2263 1784 MR c np gr 1447 1083 mt 1519 1083 L 1483 1047 mt 1483 1119 L gs 898 389 2263 1784 MR c np gr c10 36 36 1450 1294 FO gs 898 389 2263 1784 MR c np gr 36 36 1481 1312 FO gs 898 389 2263 1784 MR c np gr c9 1429 847 mt 1501 847 L 1465 811 mt 1465 883 L gs 898 389 2263 1784 MR c np gr c10 36 36 1431 1502 FO gs 898 389 2263 1784 MR c np gr 0 sg 1313 2322 mt (y) s gs 898 389 2263 1784 MR c np gr c9 1334 1143 mt 1406 1143 L 1370 1107 mt 1370 1179 L gs 898 389 2263 1784 MR c np gr 1299 951 mt 1371 951 L 1335 915 mt 1335 987 L gs 898 389 2263 1784 MR c np gr 0 sg 646 1258 mt -90 rotate (z) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1050 w @beginspecial 62 @llx 413 @lly 285 @urx 600 @ury 1080 @rwi @setspecial %%BeginDocument: figure_new/f3b_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/f3b_new.eps %%CreationDate: 06/28/2002 02:36:58 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 62 413 285 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 62 413 285 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 530 135 2680 2242 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 985 -982 -451 0 -985 3160 1825 4 MP PP 982 451 0 985 -982 -451 0 -985 3160 1825 5 MP stroke 982 451 1280 -346 -983 -452 1881 2172 4 MP PP -1279 347 982 451 1280 -346 -983 -452 1881 2172 5 MP stroke 0 985 1280 -346 0 -985 898 1720 4 MP PP -1280 346 0 985 1280 -346 0 -985 898 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2172 mt 3160 1825 L 1881 2172 mt 898 1720 L 898 1720 mt 898 735 L 2121 2107 mt 2151 2120 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 2182 2246 mt (-5) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 2921 1890 mt 2951 1904 L 2982 2029 mt (5) s 1696 2087 mt 1664 2096 L 1495 2216 mt (-5) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 1083 1805 mt 1051 1813 L 951 1933 mt (5) s 898 1556 mt 868 1542 L 701 1572 mt (-2) s 898 1227 mt 868 1214 L 771 1243 mt (0) s 898 899 mt 868 885 L 771 915 mt (2) s gs 898 389 2263 1784 MR c np gr /c8 { 1.000000 0.000000 0.000000 sr} bdef c8 1552 1026 mt 1624 1026 L 1588 990 mt 1588 1062 L 1628 1107 mt 1700 1107 L 1664 1071 mt 1664 1143 L 1412 1081 mt 1484 1081 L 1448 1045 mt 1448 1117 L 1462 1048 mt 1534 1048 L 1498 1012 mt 1498 1084 L 1597 1074 mt 1669 1074 L 1633 1038 mt 1633 1110 L 1511 1057 mt 1583 1057 L 1547 1021 mt 1547 1093 L 1659 1121 mt 1731 1121 L 1695 1085 mt 1695 1157 L 1430 1071 mt 1502 1071 L 1466 1035 mt 1466 1107 L 1529 1168 mt 1601 1168 L 1565 1132 mt 1565 1204 L 1639 1128 mt 1711 1128 L 1675 1092 mt 1675 1164 L 1655 1080 mt 1727 1080 L 1691 1044 mt 1691 1116 L 1561 1081 mt 1633 1081 L 1597 1045 mt 1597 1117 L 1462 1006 mt 1534 1006 L 1498 970 mt 1498 1042 L 1496 1055 mt 1568 1055 L 1532 1019 mt 1532 1091 L 1612 1069 mt 1684 1069 L 1648 1033 mt 1648 1105 L 1599 1023 mt 1671 1023 L 1635 987 mt 1635 1059 L 1454 1100 mt 1526 1100 L 1490 1064 mt 1490 1136 L 1496 1122 mt 1568 1122 L 1532 1086 mt 1532 1158 L 1488 1113 mt 1560 1113 L 1524 1077 mt 1524 1149 L 1649 1060 mt 1721 1060 L 1685 1024 mt 1685 1096 L 1580 1045 mt 1652 1045 L 1616 1009 mt 1616 1081 L 1475 1086 mt 1547 1086 L 1511 1050 mt 1511 1122 L 1551 1055 mt 1623 1055 L 1587 1019 mt 1587 1091 L 1406 1087 mt 1478 1087 L 1442 1051 mt 1442 1123 L 1676 1144 mt 1748 1144 L 1712 1108 mt 1712 1180 L 1663 1002 mt 1735 1002 L 1699 966 mt 1699 1038 L 1543 1085 mt 1615 1085 L 1579 1049 mt 1579 1121 L 1583 1053 mt 1655 1053 L 1619 1017 mt 1619 1089 L 1510 1036 mt 1582 1036 L 1546 1000 mt 1546 1072 L 1502 1068 mt 1574 1068 L 1538 1032 mt 1538 1104 L 1468 1103 mt 1540 1103 L 1504 1067 mt 1504 1139 L 1279 1064 mt 1351 1064 L 1315 1028 mt 1315 1100 L 1467 1061 mt 1539 1061 L 1503 1025 mt 1503 1097 L 1518 1109 mt 1590 1109 L 1554 1073 mt 1554 1145 L 1428 1090 mt 1500 1090 L 1464 1054 mt 1464 1126 L 1620 1067 mt 1692 1067 L 1656 1031 mt 1656 1103 L 1312 1013 mt 1384 1013 L 1348 977 mt 1348 1049 L 1621 1096 mt 1693 1096 L 1657 1060 mt 1657 1132 L 1482 1020 mt 1554 1020 L 1518 984 mt 1518 1056 L 1572 1104 mt 1644 1104 L 1608 1068 mt 1608 1140 L 1629 1090 mt 1701 1090 L 1665 1054 mt 1665 1126 L 1720 1057 mt 1792 1057 L 1756 1021 mt 1756 1093 L 1499 1139 mt 1571 1139 L 1535 1103 mt 1535 1175 L 1481 1081 mt 1553 1081 L 1517 1045 mt 1517 1117 L 1537 1102 mt 1609 1102 L 1573 1066 mt 1573 1138 L 1412 1101 mt 1484 1101 L 1448 1065 mt 1448 1137 L 1500 1055 mt 1572 1055 L 1536 1019 mt 1536 1091 L 1736 1115 mt 1808 1115 L 1772 1079 mt 1772 1151 L 1836 1077 mt 1908 1077 L 1872 1041 mt 1872 1113 L 1584 1010 mt 1656 1010 L 1620 974 mt 1620 1046 L gs 898 389 2263 1784 MR c np gr /c9 { 0.000000 0.000000 1.000000 sr} bdef c9 2320 1114 mt 2370 1164 L 2370 1114 mt 2320 1164 L 2369 1191 mt 2419 1241 L 2419 1191 mt 2369 1241 L 2318 1189 mt 2368 1239 L 2368 1189 mt 2318 1239 L 2445 1218 mt 2495 1268 L 2495 1218 mt 2445 1268 L 2282 1227 mt 2332 1277 L 2332 1227 mt 2282 1277 L 2236 1137 mt 2286 1187 L 2286 1137 mt 2236 1187 L 2162 1198 mt 2212 1248 L 2212 1198 mt 2162 1248 L 2478 1149 mt 2528 1199 L 2528 1149 mt 2478 1199 L 2272 1169 mt 2322 1219 L 2322 1169 mt 2272 1219 L 2428 1170 mt 2478 1220 L 2478 1170 mt 2428 1220 L 2454 1109 mt 2504 1159 L 2504 1109 mt 2454 1159 L 2374 1239 mt 2424 1289 L 2424 1239 mt 2374 1289 L 2232 1143 mt 2282 1193 L 2282 1143 mt 2232 1193 L 2272 1176 mt 2322 1226 L 2322 1176 mt 2272 1226 L 2266 1157 mt 2316 1207 L 2316 1157 mt 2266 1207 L 2448 1165 mt 2498 1215 L 2498 1165 mt 2448 1215 L 2254 1245 mt 2304 1295 L 2304 1245 mt 2254 1295 L 2500 1180 mt 2550 1230 L 2550 1180 mt 2500 1230 L 2510 1208 mt 2560 1258 L 2560 1208 mt 2510 1258 L 2335 1159 mt 2385 1209 L 2385 1159 mt 2335 1209 L 2475 1197 mt 2525 1247 L 2525 1197 mt 2475 1247 L 2225 1141 mt 2275 1191 L 2275 1141 mt 2225 1191 L 2475 1155 mt 2525 1205 L 2525 1155 mt 2475 1205 L 2259 1128 mt 2309 1178 L 2309 1128 mt 2259 1178 L 2285 1182 mt 2335 1232 L 2335 1182 mt 2285 1232 L 2364 1205 mt 2414 1255 L 2414 1205 mt 2364 1255 L 2438 1133 mt 2488 1183 L 2488 1133 mt 2438 1183 L 2234 1120 mt 2284 1170 L 2284 1120 mt 2234 1170 L 2335 1184 mt 2385 1234 L 2385 1184 mt 2335 1234 L 2388 1166 mt 2438 1216 L 2438 1166 mt 2388 1216 L 2297 1158 mt 2347 1208 L 2347 1158 mt 2297 1208 L 2328 1145 mt 2378 1195 L 2378 1145 mt 2328 1195 L 2344 1183 mt 2394 1233 L 2394 1183 mt 2344 1233 L 2332 1138 mt 2382 1188 L 2382 1138 mt 2332 1188 L 2484 1158 mt 2534 1208 L 2534 1158 mt 2484 1208 L 2305 1181 mt 2355 1231 L 2355 1181 mt 2305 1231 L 2310 1119 mt 2360 1169 L 2360 1119 mt 2310 1169 L 2235 1149 mt 2285 1199 L 2285 1149 mt 2235 1199 L 2206 1131 mt 2256 1181 L 2256 1131 mt 2206 1181 L 2284 1151 mt 2334 1201 L 2334 1151 mt 2284 1201 L 2257 1150 mt 2307 1200 L 2307 1150 mt 2257 1200 L 2323 1199 mt 2373 1249 L 2373 1199 mt 2323 1249 L 2188 1186 mt 2238 1236 L 2238 1186 mt 2188 1236 L 2205 1174 mt 2255 1224 L 2255 1174 mt 2205 1224 L 2384 1160 mt 2434 1210 L 2434 1160 mt 2384 1210 L 2350 1089 mt 2400 1139 L 2400 1089 mt 2350 1139 L 2139 1154 mt 2189 1204 L 2189 1154 mt 2139 1204 L 2313 1188 mt 2363 1238 L 2363 1188 mt 2313 1238 L 2464 1183 mt 2514 1233 L 2514 1183 mt 2464 1233 L 2421 1215 mt 2471 1265 L 2471 1215 mt 2421 1265 L gs 898 389 2263 1784 MR c np gr /c10 { 0.000000 1.000000 0.000000 sr} bdef c10 36 36 1703 1321 FO 36 36 1663 1360 FO 36 36 1754 1301 FO 36 36 1675 1415 FO 36 36 1688 1425 FO 36 36 1757 1338 FO 36 36 1764 1350 FO 36 36 1772 1394 FO 36 36 1777 1351 FO 36 36 1952 1379 FO 36 36 1619 1360 FO 36 36 1620 1379 FO 36 36 1851 1298 FO 36 36 1588 1345 FO 36 36 1557 1439 FO 36 36 1772 1371 FO 36 36 1624 1394 FO 36 36 1639 1354 FO 36 36 1577 1353 FO 36 36 1657 1363 FO 36 36 1775 1351 FO 36 36 1682 1321 FO 36 36 1685 1392 FO 36 36 1518 1352 FO 36 36 1951 1356 FO 36 36 1745 1368 FO 36 36 1609 1412 FO 36 36 1899 1422 FO 36 36 1760 1388 FO 36 36 1694 1377 FO 36 36 1779 1369 FO 36 36 1609 1358 FO 36 36 1724 1387 FO 36 36 1534 1384 FO 36 36 1743 1377 FO 36 36 1763 1403 FO 36 36 1422 1392 FO 36 36 1473 1412 FO 36 36 1829 1381 FO 36 36 1626 1377 FO 36 36 1694 1372 FO 36 36 1636 1405 FO 36 36 1734 1388 FO 36 36 1592 1375 FO 36 36 1760 1305 FO 36 36 1787 1362 FO 36 36 1440 1374 FO 36 36 1803 1326 FO 36 36 1628 1341 FO 36 36 1764 1376 FO gs 898 389 2263 1784 MR c np gr 0 sg 2461 2348 mt (x) s 1313 2322 mt (y) s 646 1258 mt -90 rotate (z) s 90 rotate 1161 294 mt (3-class data projection \(Newton\)) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1050 w @beginspecial 62 @llx 413 @lly 285 @urx 600 @ury 1080 @rwi @setspecial %%BeginDocument: figure_new/f3c_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/f3c_new.eps %%CreationDate: 06/28/2002 02:37:18 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 62 413 285 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 62 413 285 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 530 135 2680 2242 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 985 -982 -451 0 -985 3160 1825 4 MP PP 982 451 0 985 -982 -451 0 -985 3160 1825 5 MP stroke 982 451 1280 -346 -983 -452 1881 2172 4 MP PP -1279 347 982 451 1280 -346 -983 -452 1881 2172 5 MP stroke 0 985 1280 -346 0 -985 898 1720 4 MP PP -1280 346 0 985 1280 -346 0 -985 898 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2172 mt 3160 1825 L 1881 2172 mt 898 1720 L 898 1720 mt 898 735 L 2094 2114 mt 2124 2128 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 2155 2253 mt (-2) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 2947 1883 mt 2977 1897 L 3009 2022 mt (2) s 1717 2096 mt 1685 2105 L 1516 2225 mt (-2) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 1062 1795 mt 1030 1804 L 931 1924 mt (2) s 898 1556 mt 868 1542 L 701 1572 mt (-2) s 898 1227 mt 868 1214 L 771 1243 mt (0) s 898 899 mt 868 885 L 771 915 mt (2) s gs 898 389 2263 1784 MR c np gr /c8 { 1.000000 0.000000 0.000000 sr} bdef c8 1328 990 mt 1400 990 L 1364 954 mt 1364 1026 L 1531 1081 mt 1603 1081 L 1567 1045 mt 1567 1117 L 1442 1049 mt 1514 1049 L 1478 1013 mt 1478 1085 L 1373 1015 mt 1445 1015 L 1409 979 mt 1409 1051 L 1447 1043 mt 1519 1043 L 1483 1007 mt 1483 1079 L 1400 1025 mt 1472 1025 L 1436 989 mt 1436 1061 L 1573 1099 mt 1645 1099 L 1609 1063 mt 1609 1135 L 1423 1039 mt 1495 1039 L 1459 1003 mt 1459 1075 L 1667 1148 mt 1739 1148 L 1703 1112 mt 1703 1184 L 1580 1103 mt 1652 1103 L 1616 1067 mt 1616 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mt 1579 1077 L 1543 1041 mt 1543 1113 L 1391 1031 mt 1463 1031 L 1427 995 mt 1427 1067 L 1404 1029 mt 1476 1029 L 1440 993 mt 1440 1065 L 1524 1082 mt 1596 1082 L 1560 1046 mt 1560 1118 L 1474 1063 mt 1546 1063 L 1510 1027 mt 1510 1099 L 1435 1037 mt 1507 1037 L 1471 1001 mt 1471 1073 L 1266 972 mt 1338 972 L 1302 936 mt 1302 1008 L 1508 1070 mt 1580 1070 L 1544 1034 mt 1544 1106 L 1311 985 mt 1383 985 L 1347 949 mt 1347 1021 L 1511 1074 mt 1583 1074 L 1547 1038 mt 1547 1110 L 1494 1064 mt 1566 1064 L 1530 1028 mt 1530 1100 L 1428 1029 mt 1500 1029 L 1464 993 mt 1464 1065 L 1594 1116 mt 1666 1116 L 1630 1080 mt 1630 1152 L 1453 1051 mt 1525 1051 L 1489 1015 mt 1489 1087 L 1510 1075 mt 1582 1075 L 1546 1039 mt 1546 1111 L 1501 1076 mt 1573 1076 L 1537 1040 mt 1537 1112 L 1401 1026 mt 1473 1026 L 1437 990 mt 1437 1062 L 1564 1092 mt 1636 1092 L 1600 1056 mt 1600 1128 L 1493 1054 mt 1565 1054 L 1529 1018 mt 1529 1090 L 1298 975 mt 1370 975 L 1334 939 mt 1334 1011 L gs 898 389 2263 1784 MR c np gr /c9 { 0.000000 0.000000 1.000000 sr} bdef c9 1710 1105 mt 1760 1155 L 1760 1105 mt 1710 1155 L 1895 1189 mt 1945 1239 L 1945 1189 mt 1895 1239 L 1885 1186 mt 1935 1236 L 1935 1186 mt 1885 1236 L 1978 1224 mt 2028 1274 L 2028 1224 mt 1978 1274 L 1968 1226 mt 2018 1276 L 2018 1226 mt 1968 1276 L 1755 1129 mt 1805 1179 L 1805 1129 mt 1755 1179 L 1887 1194 mt 1937 1244 L 1937 1194 mt 1887 1244 L 1807 1143 mt 1857 1193 L 1857 1143 mt 1807 1193 L 1838 1166 mt 1888 1216 L 1888 1166 mt 1838 1216 L 1859 1169 mt 1909 1219 L 1909 1169 mt 1859 1219 L 1717 1102 mt 1767 1152 L 1767 1102 mt 1717 1152 L 2014 1244 mt 2064 1294 L 2064 1244 mt 2014 1294 L 1766 1134 mt 1816 1184 L 1816 1134 mt 1766 1184 L 1851 1172 mt 1901 1222 L 1901 1172 mt 1851 1222 L 1809 1153 mt 1859 1203 L 1859 1153 mt 1809 1203 L 1847 1163 mt 1897 1213 L 1897 1163 mt 1847 1213 L 2010 1247 mt 2060 1297 L 2060 1247 mt 2010 1297 L 1886 1179 mt 1936 1229 L 1936 1179 mt 1886 1229 L 1964 1214 mt 2014 1264 L 2014 1214 mt 1964 1264 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2175 1364 FO 36 36 2170 1356 FO 36 36 2081 1319 FO 36 36 2251 1398 FO 36 36 2135 1351 FO 36 36 2206 1365 FO 36 36 2207 1375 FO 36 36 2290 1419 FO 36 36 2354 1437 FO 36 36 2259 1398 FO 36 36 2217 1382 FO 36 36 2196 1369 FO 36 36 2167 1362 FO 36 36 2231 1387 FO 36 36 2216 1388 FO 36 36 2223 1382 FO 36 36 2287 1411 FO 36 36 2216 1393 FO 36 36 2276 1418 FO 36 36 2251 1391 FO 36 36 2212 1382 FO 36 36 2209 1378 FO 36 36 2276 1411 FO 36 36 2254 1397 FO 36 36 2202 1379 FO 36 36 2045 1299 FO 36 36 2195 1367 FO 36 36 2180 1375 FO 36 36 2109 1327 FO 36 36 2124 1341 FO 36 36 2222 1381 FO gs 898 389 2263 1784 MR c np gr 0 sg 2461 2348 mt (x) s 1313 2322 mt (y) s 646 1258 mt -90 rotate (z) s 90 rotate 1306 294 mt (3-class data projection \(IP\)) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial FA 884 2050 a(\(a\)) 925 b(\(b\)) f(\(c\)) p Fn 450 2168 a(Figure) 20 b(3:) 25 b(\(a\)) 20 b(Original) g(data.) 26 b(\(b\)) 20 b(Rescaling) g(correspo) r(nding) g(to) g(learned) h (diagona) r(l) p Fm 19 w(A) p Fn(.) 26 b(\(c\)) 19 b(Rescaling) i (corre-) 450 2251 y(spond) r(ing) e(to) f(full) p Fm 19 w(A) p Fn(.) p FA 450 2404 a(togethe) n(r) -5 b(.) 41 b(Figure) 25 b(2\(b,c) n(\)) h(sho) n(ws) f(the) h(result) f(of) g (plotting) p Fu 24 w(A) p Fr 2254 2374 a(1) p Fv(=) p Fr(2) p Fu 2359 2404 a(x) p FA(.) 41 b(As) 27 b(we) e(see,) i(the) f (algor) n(ithm) f(has) 450 2495 y(successfully) 20 b(bro) n(ught) g (togeth) n(er) g(the) h(similar) f(points,) g(while) g(k) o(eepin) n(g) h(dissimilar) f(ones) g(apart.) 450 2616 y(Figure) 30 b(3) h(sho) n(ws) g(a) h(similar) f(result) g(for) f(a) h(case) h(of) e (three) h(clusters) g(whose) g(centro) n(ids) h(dif) n(f) n(er) f(only) 450 2707 y(in) 24 b(the) g(x) h(and) e(y) h(direction) n(s.) 38 b(As) 25 b(we) f(see) h(in) f(Figure) g(3\(b) n(\),) h(the) g(learne) n (d) g(diago) n(nal) f(metric) g(corre) n(ctly) 450 2798 y(ignor) n(es) 19 b(the) e(z) h(direction) n(.) 25 b(Interesting) n(ly) -5 b(,) 18 b(in) 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o(ays) 25 b(bein) n(g) 749 3988 y(assigned) 20 b(to) g(the) g(same) g(cluster) h([13) n(].) p Fp 1856 3958 a(7) p FA 645 4118 a(3.) 41 b(K-mean) n(s) 22 b(+) f(metric:) 26 b(K-mean) n(s) c(b) n(ut) f(with) f(distortion) g (de\002ned) g(using) g(the) h(distance) f(metric) p Fz 749 4209 a(jj) p Fu(x) p Fv 842 4221 a(i) p Fz 889 4209 a(\000) p Fu 18 w(\026) p Fv 1022 4221 a(k) p Fz 1062 4209 a(jj) p Fr 1108 4179 a(2) p Fv 1108 4232 a(A) p FA 1183 4209 a(learned) f(from) p Fz 20 w(S) p FA 6 w(.) 645 4339 y(4.) 41 b(Constrained) 25 b(K-mean) n(s) i(+) g(metric:) 37 b(Constrained) 25 b(K-mean) n(s) i(using) f(the) g(distance) g(metric) 749 4431 y(learned) 19 b(from) p Fz 19 w(S) p FA 6 w(.) p 450 4531 1196 4 v Fo 555 4586 a(7) p Fn 584 4618 a(This) g(is) f (implemented) h(as) f(the) h(usual) g(K-means,) f(e) o(xcep) r(t) f(if) p Fk 18 w(\() p Fm(x) p Fl 2234 4626 a(i) p Fm 2260 4618 a(;) c(x) p Fl 2338 4626 a(j) p Fk 2370 4618 a(\)) p Fi 21 w(2) 22 b(S) p Fn 6 w(,) 17 b(then) i(during) g(the) g(step) f (in) g(which) 450 4701 y(points) f(are) f(assigned) h(to) f(cluster) h (centroids) p Fm 17 w(\026) p Fl 1655 4710 a(k) p Fn 1693 4701 a(,) f(we) g(assign) h(both) p Fm 17 w(x) p Fl 2227 4709 a(i) p Fn 2269 4701 a(and) p Fm 17 w(x) p Fl 2437 4709 a(j) p Fn 2485 4701 a(to) f(cluster) p Fk 16 w(arg) f(min) p Fl 3023 4710 a(k) p Fk 3061 4701 a(\() p Fm(x) p Fl 3135 4709 a(i) p Fi 3168 4701 a(\000) p Fm 7 w(\026) p Fl 3281 4710 a(k) p Fk 3319 4701 a(\)) p Ff 3349 4669 a(2) p Fk 3390 4701 a(+) 450 4784 y(\() p Fm(x) p Fl 524 4792 a(j) p Fi 565 4784 a(\000) p Fm 9 w(\026) p Fl 680 4793 a(k) p Fk 718 4784 a(\)) p Ff 748 4752 a(2) p Fn 782 4784 a(.) 23 b(More) 17 b(generally) -5 b(,) 18 b(if) e(we) h(imagine) g(dra) o(wing) g(an) g(edge) h(between) f (each) h(pair) f(of) f(points) i(in) p Fm 16 w(S) p Fn 4 w(,) f(then) g(all) 450 4867 y(the) i(points) h(in) f(each) h (resulting) g(connec) r(ted) f(compon) r(ent) p Fm 19 w(C) p Fn 24 w(are) h(constrained) g(to) f(lie) g(in) 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2594 1490 L gs 899 389 2263 1784 MR c np gr 2601 1398 mt 2651 1448 L 2651 1398 mt 2601 1448 L gs 899 389 2263 1784 MR c np gr 2620 1443 mt 2670 1493 L 2670 1443 mt 2620 1493 L gs 899 389 2263 1784 MR c np gr 2624 1444 mt 2674 1494 L 2674 1444 mt 2624 1494 L gs 899 389 2263 1784 MR c np gr 2612 1484 mt 2662 1534 L 2662 1484 mt 2612 1534 L gs 899 389 2263 1784 MR c np gr 2540 1512 mt 2590 1562 L 2590 1512 mt 2540 1562 L gs 899 389 2263 1784 MR c np gr 2555 1398 mt 2605 1448 L 2605 1398 mt 2555 1448 L gs 899 389 2263 1784 MR c np gr 2638 1495 mt 2688 1545 L 2688 1495 mt 2638 1545 L gs 899 389 2263 1784 MR c np gr 2607 1501 mt 2657 1551 L 2657 1501 mt 2607 1551 L gs 899 389 2263 1784 MR c np gr 2611 1439 mt 2661 1489 L 2661 1439 mt 2611 1489 L gs 899 389 2263 1784 MR c np gr 2621 1449 mt 2671 1499 L 2671 1449 mt 2621 1499 L gs 899 389 2263 1784 MR c np gr 2595 1453 mt 2645 1503 L 2645 1453 mt 2595 1503 L gs 899 389 2263 1784 MR c np gr 2615 1452 mt 2665 1502 L 2665 1452 mt 2615 1502 L gs 899 389 2263 1784 MR c np gr 2625 1399 mt 2675 1449 L 2675 1399 mt 2625 1449 L gs 899 389 2263 1784 MR c np gr 2625 1466 mt 2675 1516 L 2675 1466 mt 2625 1516 L gs 899 389 2263 1784 MR c np gr 2618 1538 mt 2668 1588 L 2668 1538 mt 2618 1588 L gs 899 389 2263 1784 MR c np gr 2641 1396 mt 2691 1446 L 2691 1396 mt 2641 1446 L gs 899 389 2263 1784 MR c np gr 2621 1430 mt 2671 1480 L 2671 1430 mt 2621 1480 L gs 899 389 2263 1784 MR c np gr 2616 1419 mt 2666 1469 L 2666 1419 mt 2616 1469 L gs 899 389 2263 1784 MR c np gr 2607 1411 mt 2657 1461 L 2657 1411 mt 2607 1461 L gs 899 389 2263 1784 MR c np gr 2596 1461 mt 2646 1511 L 2646 1461 mt 2596 1511 L gs 899 389 2263 1784 MR c np gr 2592 1389 mt 2642 1439 L 2642 1389 mt 2592 1439 L gs 899 389 2263 1784 MR c np gr 2591 1459 mt 2641 1509 L 2641 1459 mt 2591 1509 L gs 899 389 2263 1784 MR c np gr 2589 1439 mt 2639 1489 L 2639 1439 mt 2589 1489 L gs 899 389 2263 1784 MR c np gr 2588 1449 mt 2638 1499 L 2638 1449 mt 2588 1499 L gs 899 389 2263 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2263 1784 MR c np gr 2311 1523 mt 2383 1523 L 2347 1487 mt 2347 1559 L gs 899 389 2263 1784 MR c np gr 2347 1526 mt 2419 1526 L 2383 1490 mt 2383 1562 L gs 899 389 2263 1784 MR c np gr 2360 1499 mt 2432 1499 L 2396 1463 mt 2396 1535 L gs 899 389 2263 1784 MR c np gr 2365 1498 mt 2437 1498 L 2401 1462 mt 2401 1534 L gs 899 389 2263 1784 MR c np gr 2368 1530 mt 2440 1530 L 2404 1494 mt 2404 1566 L gs 899 389 2263 1784 MR c np gr 2383 1529 mt 2455 1529 L 2419 1493 mt 2419 1565 L gs 899 389 2263 1784 MR c np gr 2369 1524 mt 2441 1524 L 2405 1488 mt 2405 1560 L gs 899 389 2263 1784 MR c np gr 2373 1544 mt 2445 1544 L 2409 1508 mt 2409 1580 L gs 899 389 2263 1784 MR c np gr 2382 1556 mt 2454 1556 L 2418 1520 mt 2418 1592 L gs 899 389 2263 1784 MR c np gr 2391 1547 mt 2463 1547 L 2427 1511 mt 2427 1583 L gs 899 389 2263 1784 MR c np gr 2403 1577 mt 2475 1577 L 2439 1541 mt 2439 1613 L gs 899 389 2263 1784 MR c np gr 2395 1581 mt 2467 1581 L 2431 1545 mt 2431 1617 L gs 899 389 2263 1784 MR c np gr 2398 1554 mt 2470 1554 L 2434 1518 mt 2434 1590 L gs 899 389 2263 1784 MR c np gr 2401 1556 mt 2473 1556 L 2437 1520 mt 2437 1592 L gs 899 389 2263 1784 MR c np gr 2387 1579 mt 2459 1579 L 2423 1543 mt 2423 1615 L gs 899 389 2263 1784 MR c np gr 2400 1512 mt 2472 1512 L 2436 1476 mt 2436 1548 L gs 899 389 2263 1784 MR c np gr 2387 1556 mt 2459 1556 L 2423 1520 mt 2423 1592 L gs 899 389 2263 1784 MR c np gr 2391 1533 mt 2463 1533 L 2427 1497 mt 2427 1569 L gs 899 389 2263 1784 MR c np gr 2386 1532 mt 2458 1532 L 2422 1496 mt 2422 1568 L gs 899 389 2263 1784 MR c np gr 2399 1508 mt 2471 1508 L 2435 1472 mt 2435 1544 L gs 899 389 2263 1784 MR c np gr 2329 1524 mt 2401 1524 L 2365 1488 mt 2365 1560 L gs 899 389 2263 1784 MR c np gr 2351 1565 mt 2423 1565 L 2387 1529 mt 2387 1601 L gs 899 389 2263 1784 MR c np gr 2364 1550 mt 2436 1550 L 2400 1514 mt 2400 1586 L gs 899 389 2263 1784 MR c np gr 2370 1564 mt 2442 1564 L 2406 1528 mt 2406 1600 L gs 899 389 2263 1784 MR c np gr 2347 1537 mt 2419 1537 L 2383 1501 mt 2383 1573 L gs 899 389 2263 1784 MR c np gr 2352 1530 mt 2424 1530 L 2388 1494 mt 2388 1566 L gs 899 389 2263 1784 MR c np gr 2348 1560 mt 2420 1560 L 2384 1524 mt 2384 1596 L gs 899 389 2263 1784 MR c np gr 2355 1488 mt 2427 1488 L 2391 1452 mt 2391 1524 L gs 899 389 2263 1784 MR c np gr 2375 1535 mt 2447 1535 L 2411 1499 mt 2411 1571 L gs 899 389 2263 1784 MR c np gr 2416 1570 mt 2488 1570 L 2452 1534 mt 2452 1606 L gs 899 389 2263 1784 MR c np gr 2403 1522 mt 2475 1522 L 2439 1486 mt 2439 1558 L gs 899 389 2263 1784 MR c np gr 2403 1532 mt 2475 1532 L 2439 1496 mt 2439 1568 L gs 899 389 2263 1784 MR c np gr 2393 1550 mt 2465 1550 L 2429 1514 mt 2429 1586 L gs 899 389 2263 1784 MR c np gr 2397 1601 mt 2469 1601 L 2433 1565 mt 2433 1637 L gs 899 389 2263 1784 MR c np gr 2393 1517 mt 2465 1517 L 2429 1481 mt 2429 1553 L gs 899 389 2263 1784 MR c np gr 2392 1502 mt 2464 1502 L 2428 1466 mt 2428 1538 L gs 899 389 2263 1784 MR c np gr 2384 1580 mt 2456 1580 L 2420 1544 mt 2420 1616 L gs 899 389 2263 1784 MR c np gr 2384 1566 mt 2456 1566 L 2420 1530 mt 2420 1602 L gs 899 389 2263 1784 MR c np gr 2383 1506 mt 2455 1506 L 2419 1470 mt 2419 1542 L gs 899 389 2263 1784 MR c np gr 2379 1519 mt 2451 1519 L 2415 1483 mt 2415 1555 L gs 899 389 2263 1784 MR c np gr 2374 1542 mt 2446 1542 L 2410 1506 mt 2410 1578 L gs 899 389 2263 1784 MR c np gr 2379 1482 mt 2451 1482 L 2415 1446 mt 2415 1518 L gs 899 389 2263 1784 MR c np gr 2369 1549 mt 2441 1549 L 2405 1513 mt 2405 1585 L gs 899 389 2263 1784 MR c np gr 2363 1585 mt 2435 1585 L 2399 1549 mt 2399 1621 L gs 899 389 2263 1784 MR c np gr 2358 1537 mt 2430 1537 L 2394 1501 mt 2394 1573 L gs 899 389 2263 1784 MR c np gr 2336 1562 mt 2408 1562 L 2372 1526 mt 2372 1598 L gs 899 389 2263 1784 MR c np gr 0 sg 1472 294 mt (Original 2-class data) s gs 899 389 2263 1784 MR c np gr c8 1662 1037 mt 1712 1087 L 1712 1037 mt 1662 1087 L gs 899 389 2263 1784 MR c np gr 1571 1035 mt 1621 1085 L 1621 1035 mt 1571 1085 L gs 899 389 2263 1784 MR c np gr 1588 983 mt 1638 1033 L 1638 983 mt 1588 1033 L gs 899 389 2263 1784 MR c np gr 1590 1018 mt 1640 1068 L 1640 1018 mt 1590 1068 L gs 899 389 2263 1784 MR c np gr 1613 1002 mt 1663 1052 L 1663 1002 mt 1613 1052 L gs 899 389 2263 1784 MR c np gr 1596 980 mt 1646 1030 L 1646 980 mt 1596 1030 L gs 899 389 2263 1784 MR c np gr 1605 1032 mt 1655 1082 L 1655 1032 mt 1605 1082 L gs 899 389 2263 1784 MR c np gr 1619 1002 mt 1669 1052 L 1669 1002 mt 1619 1052 L gs 899 389 2263 1784 MR c np gr 1603 1039 mt 1653 1089 L 1653 1039 mt 1603 1089 L gs 899 389 2263 1784 MR c np gr 1605 1050 mt 1655 1100 L 1655 1050 mt 1605 1100 L gs 899 389 2263 1784 MR c np gr 1592 1002 mt 1642 1052 L 1642 1002 mt 1592 1052 L gs 899 389 2263 1784 MR c np gr 1601 991 mt 1651 1041 L 1651 991 mt 1601 1041 L gs 899 389 2263 1784 MR c np gr 1612 1037 mt 1662 1087 L 1662 1037 mt 1612 1087 L gs 899 389 2263 1784 MR c np gr 1614 1041 mt 1664 1091 L 1664 1041 mt 1614 1091 L gs 899 389 2263 1784 MR c np gr 1591 977 mt 1641 1027 L 1641 977 mt 1591 1027 L gs 899 389 2263 1784 MR c np gr 1601 989 mt 1651 1039 L 1651 989 mt 1601 1039 L gs 899 389 2263 1784 MR c np gr 1626 1024 mt 1676 1074 L 1676 1024 mt 1626 1074 L gs 899 389 2263 1784 MR c np gr 1633 1048 mt 1683 1098 L 1683 1048 mt 1633 1098 L gs 899 389 2263 1784 MR c np gr 1638 990 mt 1688 1040 L 1688 990 mt 1638 1040 L gs 899 389 2263 1784 MR c np gr 1641 990 mt 1691 1040 L 1691 990 mt 1641 1040 L gs 899 389 2263 1784 MR c np gr 1621 1051 mt 1671 1101 L 1671 1051 mt 1621 1101 L gs 899 389 2263 1784 MR c np gr 1636 980 mt 1686 1030 L 1686 980 mt 1636 1030 L gs 899 389 2263 1784 MR c np gr 1578 945 mt 1628 995 L 1628 945 mt 1578 995 L gs 899 389 2263 1784 MR c np gr 1626 1009 mt 1676 1059 L 1676 1009 mt 1626 1059 L gs 899 389 2263 1784 MR c np gr 1575 997 mt 1625 1047 L 1625 997 mt 1575 1047 L gs 899 389 2263 1784 MR c np gr 1557 1022 mt 1607 1072 L 1607 1022 mt 1557 1072 L gs 899 389 2263 1784 MR c np gr 1607 975 mt 1657 1025 L 1657 975 mt 1607 1025 L gs 899 389 2263 1784 MR c np gr 1616 960 mt 1666 1010 L 1666 960 mt 1616 1010 L gs 899 389 2263 1784 MR c np gr 1617 1004 mt 1667 1054 L 1667 1004 mt 1617 1054 L gs 899 389 2263 1784 MR c np gr 1625 1023 mt 1675 1073 L 1675 1023 mt 1625 1073 L gs 899 389 2263 1784 MR c np gr 1600 1007 mt 1650 1057 L 1650 1007 mt 1600 1057 L gs 899 389 2263 1784 MR c np gr 1640 1031 mt 1690 1081 L 1690 1031 mt 1640 1081 L gs 899 389 2263 1784 MR c np gr 1633 1083 mt 1683 1133 L 1683 1083 mt 1633 1133 L gs 899 389 2263 1784 MR c np gr 1617 1066 mt 1667 1116 L 1667 1066 mt 1617 1116 L gs 899 389 2263 1784 MR c np gr 1648 1001 mt 1698 1051 L 1698 1001 mt 1648 1051 L gs 899 389 2263 1784 MR c np gr 1642 1057 mt 1692 1107 L 1692 1057 mt 1642 1107 L gs 899 389 2263 1784 MR c np gr 1639 987 mt 1689 1037 L 1689 987 mt 1639 1037 L gs 899 389 2263 1784 MR c np gr 1636 1085 mt 1686 1135 L 1686 1085 mt 1636 1135 L gs 899 389 2263 1784 MR c np gr 1631 1056 mt 1681 1106 L 1681 1056 mt 1631 1106 L gs 899 389 2263 1784 MR c np gr 1623 1028 mt 1673 1078 L 1673 1028 mt 1623 1078 L gs 899 389 2263 1784 MR c np gr 1599 1033 mt 1649 1083 L 1649 1033 mt 1599 1083 L gs 899 389 2263 1784 MR c np gr 1608 977 mt 1658 1027 L 1658 977 mt 1608 1027 L gs 899 389 2263 1784 MR c np gr 1607 983 mt 1657 1033 L 1657 983 mt 1607 1033 L gs 899 389 2263 1784 MR c np gr 1619 995 mt 1669 1045 L 1669 995 mt 1619 1045 L gs 899 389 2263 1784 MR c np gr 1616 1029 mt 1666 1079 L 1666 1029 mt 1616 1079 L gs 899 389 2263 1784 MR c np gr 1605 968 mt 1655 1018 L 1655 968 mt 1605 1018 L gs 899 389 2263 1784 MR c np gr 1583 996 mt 1633 1046 L 1633 996 mt 1583 1046 L gs 899 389 2263 1784 MR c np gr 1581 923 mt 1631 973 L 1631 923 mt 1581 973 L gs 899 389 2263 1784 MR c np gr 1574 1018 mt 1624 1068 L 1624 1018 mt 1574 1068 L gs 899 389 2263 1784 MR c np gr 1573 1021 mt 1623 1071 L 1623 1021 mt 1573 1071 L gs 899 389 2263 1784 MR c np gr c9 1367 1052 mt 1439 1052 L 1403 1016 mt 1403 1088 L gs 899 389 2263 1784 MR c np gr 1390 1046 mt 1462 1046 L 1426 1010 mt 1426 1082 L gs 899 389 2263 1784 MR c np gr 1377 1054 mt 1449 1054 L 1413 1018 mt 1413 1090 L gs 899 389 2263 1784 MR c np gr 1386 1121 mt 1458 1121 L 1422 1085 mt 1422 1157 L gs 899 389 2263 1784 MR c np gr 1388 1084 mt 1460 1084 L 1424 1048 mt 1424 1120 L gs 899 389 2263 1784 MR c np gr 1397 1066 mt 1469 1066 L 1433 1030 mt 1433 1102 L gs 899 389 2263 1784 MR c np gr 1398 1104 mt 1470 1104 L 1434 1068 mt 1434 1140 L gs 899 389 2263 1784 MR c np gr 1417 1120 mt 1489 1120 L 1453 1084 mt 1453 1156 L gs 899 389 2263 1784 MR c np gr 1423 1115 mt 1495 1115 L 1459 1079 mt 1459 1151 L gs 899 389 2263 1784 MR c np gr 1384 1077 mt 1456 1077 L 1420 1041 mt 1420 1113 L gs 899 389 2263 1784 MR c np gr 1414 1104 mt 1486 1104 L 1450 1068 mt 1450 1140 L gs 899 389 2263 1784 MR c np gr 1420 1065 mt 1492 1065 L 1456 1029 mt 1456 1101 L gs 899 389 2263 1784 MR c np gr 1435 1030 mt 1507 1030 L 1471 994 mt 1471 1066 L gs 899 389 2263 1784 MR c np gr 1393 1092 mt 1465 1092 L 1429 1056 mt 1429 1128 L gs 899 389 2263 1784 MR c np gr 1393 1073 mt 1465 1073 L 1429 1037 mt 1429 1109 L gs 899 389 2263 1784 MR c np gr 1416 1116 mt 1488 1116 L 1452 1080 mt 1452 1152 L gs 899 389 2263 1784 MR c np gr 1362 1075 mt 1434 1075 L 1398 1039 mt 1398 1111 L gs 899 389 2263 1784 MR c np gr 1374 1086 mt 1446 1086 L 1410 1050 mt 1410 1122 L gs 899 389 2263 1784 MR c np gr 1341 1080 mt 1413 1080 L 1377 1044 mt 1377 1116 L gs 899 389 2263 1784 MR c np gr 1350 1161 mt 1422 1161 L 1386 1125 mt 1386 1197 L gs 899 389 2263 1784 MR c np gr 1395 1087 mt 1467 1087 L 1431 1051 mt 1431 1123 L gs 899 389 2263 1784 MR c np gr 1367 1062 mt 1439 1062 L 1403 1026 mt 1403 1098 L gs 899 389 2263 1784 MR c np gr 1421 1118 mt 1493 1118 L 1457 1082 mt 1457 1154 L gs 899 389 2263 1784 MR c np gr 1388 1123 mt 1460 1123 L 1424 1087 mt 1424 1159 L gs 899 389 2263 1784 MR c np gr 1407 1109 mt 1479 1109 L 1443 1073 mt 1443 1145 L gs 899 389 2263 1784 MR c np gr 1473 1083 mt 1545 1083 L 1509 1047 mt 1509 1119 L gs 899 389 2263 1784 MR c np gr 1400 1109 mt 1472 1109 L 1436 1073 mt 1436 1145 L gs 899 389 2263 1784 MR c np gr 1400 1095 mt 1472 1095 L 1436 1059 mt 1436 1131 L gs 899 389 2263 1784 MR c np gr 1403 1113 mt 1475 1113 L 1439 1077 mt 1439 1149 L gs 899 389 2263 1784 MR c np gr 1415 1073 mt 1487 1073 L 1451 1037 mt 1451 1109 L gs 899 389 2263 1784 MR c np gr 1432 1073 mt 1504 1073 L 1468 1037 mt 1468 1109 L gs 899 389 2263 1784 MR c np gr 1438 1047 mt 1510 1047 L 1474 1011 mt 1474 1083 L gs 899 389 2263 1784 MR c np gr 1435 1091 mt 1507 1091 L 1471 1055 mt 1471 1127 L gs 899 389 2263 1784 MR c np gr 1427 1043 mt 1499 1043 L 1463 1007 mt 1463 1079 L gs 899 389 2263 1784 MR c np gr 1418 1120 mt 1490 1120 L 1454 1084 mt 1454 1156 L gs 899 389 2263 1784 MR c np gr 1412 1124 mt 1484 1124 L 1448 1088 mt 1448 1160 L gs 899 389 2263 1784 MR c np gr 1406 1029 mt 1478 1029 L 1442 993 mt 1442 1065 L gs 899 389 2263 1784 MR c np gr 1405 1107 mt 1477 1107 L 1441 1071 mt 1441 1143 L gs 899 389 2263 1784 MR c np gr 1403 1132 mt 1475 1132 L 1439 1096 mt 1439 1168 L gs 899 389 2263 1784 MR c np gr 1399 1125 mt 1471 1125 L 1435 1089 mt 1435 1161 L gs 899 389 2263 1784 MR c np gr 1392 1123 mt 1464 1123 L 1428 1087 mt 1428 1159 L gs 899 389 2263 1784 MR c np gr 1384 1078 mt 1456 1078 L 1420 1042 mt 1420 1114 L gs 899 389 2263 1784 MR c np gr 1382 1118 mt 1454 1118 L 1418 1082 mt 1418 1154 L gs 899 389 2263 1784 MR c np gr 1378 1118 mt 1450 1118 L 1414 1082 mt 1414 1154 L gs 899 389 2263 1784 MR c np gr 1371 1071 mt 1443 1071 L 1407 1035 mt 1407 1107 L gs 899 389 2263 1784 MR c np gr 1371 1102 mt 1443 1102 L 1407 1066 mt 1407 1138 L gs 899 389 2263 1784 MR c np gr 1365 1030 mt 1437 1030 L 1401 994 mt 1401 1066 L gs 899 389 2263 1784 MR c np gr 1363 1130 mt 1435 1130 L 1399 1094 mt 1399 1166 L gs 899 389 2263 1784 MR c np gr 1357 1059 mt 1429 1059 L 1393 1023 mt 1393 1095 L gs 899 389 2263 1784 MR c np gr 1355 1100 mt 1427 1100 L 1391 1064 mt 1391 1136 L gs 899 389 2263 1784 MR c np gr 0 sg 1313 2322 mt (y) s 579 1258 mt -90 rotate (z) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1461 w @beginspecial 56 @llx 413 @lly 285 @urx 600 @ury 1296 @rwi @setspecial %%BeginDocument: figure_new/f4b_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/newfig/f4b_new.eps %%CreationDate: 06/28/2002 04:31:26 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 56 413 285 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 56 413 285 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 463 135 2748 2242 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 985 -983 -451 0 -985 3161 1825 4 MP PP 983 451 0 985 -983 -451 0 -985 3161 1825 5 MP stroke 983 451 1279 -346 -982 -452 1881 2172 4 MP PP -1280 347 983 451 1279 -346 -982 -452 1881 2172 5 MP stroke 0 985 1279 -346 0 -985 899 1720 4 MP PP -1279 346 0 985 1279 -346 0 -985 899 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2172 mt 3161 1825 L 1881 2172 mt 899 1720 L 899 1720 mt 899 735 L 2094 2114 mt 2124 2128 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 2155 2253 mt (-20) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 2947 1883 mt 2977 1897 L 3009 2022 mt (20) s 1717 2096 mt 1685 2105 L 1449 2225 mt (-20) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 1062 1795 mt 1030 1804 L 864 1924 mt (20) s 899 1556 mt 868 1542 L 634 1572 mt (-10) s 899 1227 mt 868 1214 L 771 1243 mt (0) s 899 899 mt 868 885 L 704 915 mt (10) s gs 899 389 2263 1784 MR c np gr /c8 { 1.000000 0.000000 0.000000 sr} bdef c8 1798 1333 mt 1870 1333 L 1834 1297 mt 1834 1369 L 1754 1345 mt 1826 1345 L 1790 1309 mt 1790 1381 L 1818 1327 mt 1890 1327 L 1854 1291 mt 1854 1363 L 1824 1326 mt 1896 1326 L 1860 1290 mt 1860 1362 L 1772 1340 mt 1844 1340 L 1808 1304 mt 1808 1376 L 1856 1317 mt 1928 1317 L 1892 1281 mt 1892 1353 L 1812 1329 mt 1884 1329 L 1848 1293 mt 1848 1365 L 1825 1326 mt 1897 1326 L 1861 1290 mt 1861 1362 L 1820 1327 mt 1892 1327 L 1856 1291 mt 1856 1363 L 1807 1331 mt 1879 1331 L 1843 1295 mt 1843 1367 L 1840 1322 mt 1912 1322 L 1876 1286 mt 1876 1358 L 1792 1334 mt 1864 1334 L 1828 1298 mt 1828 1370 L 1892 1307 mt 1964 1307 L 1928 1271 mt 1928 1343 L 1809 1330 mt 1881 1330 L 1845 1294 mt 1845 1366 L 1818 1328 mt 1890 1328 L 1854 1292 mt 1854 1364 L 1852 1318 mt 1924 1318 L 1888 1282 mt 1888 1354 L 1816 1328 mt 1888 1328 L 1852 1292 mt 1852 1364 L 1810 1330 mt 1882 1330 L 1846 1294 mt 1846 1366 L 1784 1337 mt 1856 1337 L 1820 1301 mt 1820 1373 L 1824 1326 mt 1896 1326 L 1860 1290 mt 1860 1362 L 1765 1342 mt 1837 1342 L 1801 1306 mt 1801 1378 L 1839 1322 mt 1911 1322 L 1875 1286 mt 1875 1358 L 1872 1313 mt 1944 1313 L 1908 1277 mt 1908 1349 L 1789 1335 mt 1861 1335 L 1825 1299 mt 1825 1371 L 1844 1320 mt 1916 1320 L 1880 1284 mt 1880 1356 L 1859 1316 mt 1931 1316 L 1895 1280 mt 1895 1352 L 1756 1344 mt 1828 1344 L 1792 1308 mt 1792 1380 L 1762 1343 mt 1834 1343 L 1798 1307 mt 1798 1379 L 1834 1323 mt 1906 1323 L 1870 1287 mt 1870 1359 L 1799 1333 mt 1871 1333 L 1835 1297 mt 1835 1369 L 1838 1322 mt 1910 1322 L 1874 1286 mt 1874 1358 L 1843 1321 mt 1915 1321 L 1879 1285 mt 1879 1357 L 1839 1322 mt 1911 1322 L 1875 1286 mt 1875 1358 L 1860 1316 mt 1932 1316 L 1896 1280 mt 1896 1352 L 1838 1322 mt 1910 1322 L 1874 1286 mt 1874 1358 L 1856 1317 mt 1928 1317 L 1892 1281 mt 1892 1353 L 1770 1340 mt 1842 1340 L 1806 1304 mt 1806 1376 L 1813 1329 mt 1885 1329 L 1849 1293 mt 1849 1365 L 1808 1330 mt 1880 1330 L 1844 1294 mt 1844 1366 L 1756 1344 mt 1828 1344 L 1792 1308 mt 1792 1380 L 1823 1326 mt 1895 1326 L 1859 1290 mt 1859 1362 L 1776 1339 mt 1848 1339 L 1812 1303 mt 1812 1375 L 1864 1315 mt 1936 1315 L 1900 1279 mt 1900 1351 L 1785 1337 mt 1857 1337 L 1821 1301 mt 1821 1373 L 1833 1324 mt 1905 1324 L 1869 1288 mt 1869 1360 L 1821 1327 mt 1893 1327 L 1857 1291 mt 1857 1363 L 1780 1338 mt 1852 1338 L 1816 1302 mt 1816 1374 L 1735 1350 mt 1807 1350 L 1771 1314 mt 1771 1386 L 1811 1329 mt 1883 1329 L 1847 1293 mt 1847 1365 L 1809 1330 mt 1881 1330 L 1845 1294 mt 1845 1366 L 1811 1329 mt 1883 1329 L 1847 1293 mt 1847 1365 L 1831 1324 mt 1903 1324 L 1867 1288 mt 1867 1360 L 1792 1334 mt 1864 1334 L 1828 1298 mt 1828 1370 L 1808 1330 mt 1880 1330 L 1844 1294 mt 1844 1366 L 1798 1333 mt 1870 1333 L 1834 1297 mt 1834 1369 L 1811 1329 mt 1883 1329 L 1847 1293 mt 1847 1365 L 1869 1314 mt 1941 1314 L 1905 1278 mt 1905 1350 L 1792 1335 mt 1864 1335 L 1828 1299 mt 1828 1371 L 1765 1342 mt 1837 1342 L 1801 1306 mt 1801 1378 L 1830 1324 mt 1902 1324 L 1866 1288 mt 1866 1360 L 1781 1337 mt 1853 1337 L 1817 1301 mt 1817 1373 L 1815 1328 mt 1887 1328 L 1851 1292 mt 1851 1364 L 1791 1335 mt 1863 1335 L 1827 1299 mt 1827 1371 L 1833 1323 mt 1905 1323 L 1869 1287 mt 1869 1359 L 1806 1331 mt 1878 1331 L 1842 1295 mt 1842 1367 L 1740 1349 mt 1812 1349 L 1776 1313 mt 1776 1385 L 1818 1327 mt 1890 1327 L 1854 1291 mt 1854 1363 L 1871 1313 mt 1943 1313 L 1907 1277 mt 1907 1349 L 1850 1319 mt 1922 1319 L 1886 1283 mt 1886 1355 L 1757 1344 mt 1829 1344 L 1793 1308 mt 1793 1380 L 1811 1329 mt 1883 1329 L 1847 1293 mt 1847 1365 L 1789 1335 mt 1861 1335 L 1825 1299 mt 1825 1371 L 1777 1339 mt 1849 1339 L 1813 1303 mt 1813 1375 L 1769 1341 mt 1841 1341 L 1805 1305 mt 1805 1377 L 1824 1326 mt 1896 1326 L 1860 1290 mt 1860 1362 L 1798 1333 mt 1870 1333 L 1834 1297 mt 1834 1369 L 1816 1328 mt 1888 1328 L 1852 1292 mt 1852 1364 L 1800 1332 mt 1872 1332 L 1836 1296 mt 1836 1368 L 1797 1333 mt 1869 1333 L 1833 1297 mt 1833 1369 L 1827 1325 mt 1899 1325 L 1863 1289 mt 1863 1361 L 1840 1322 mt 1912 1322 L 1876 1286 mt 1876 1358 L 1890 1308 mt 1962 1308 L 1926 1272 mt 1926 1344 L 1765 1342 mt 1837 1342 L 1801 1306 mt 1801 1378 L 1777 1339 mt 1849 1339 L 1813 1303 mt 1813 1375 L 1851 1319 mt 1923 1319 L 1887 1283 mt 1887 1355 L 1799 1332 mt 1871 1332 L 1835 1296 mt 1835 1368 L 1764 1342 mt 1836 1342 L 1800 1306 mt 1800 1378 L 1825 1326 mt 1897 1326 L 1861 1290 mt 1861 1362 L 1869 1314 mt 1941 1314 L 1905 1278 mt 1905 1350 L 1839 1322 mt 1911 1322 L 1875 1286 mt 1875 1358 L 1884 1310 mt 1956 1310 L 1920 1274 mt 1920 1346 L 1832 1324 mt 1904 1324 L 1868 1288 mt 1868 1360 L 1881 1311 mt 1953 1311 L 1917 1275 mt 1917 1347 L 1801 1332 mt 1873 1332 L 1837 1296 mt 1837 1368 L 1773 1340 mt 1845 1340 L 1809 1304 mt 1809 1376 L 1806 1331 mt 1878 1331 L 1842 1295 mt 1842 1367 L 1856 1317 mt 1928 1317 L 1892 1281 mt 1892 1353 L 1773 1340 mt 1845 1340 L 1809 1304 mt 1809 1376 L gs 899 389 2263 1784 MR c np gr /c9 { 0.000000 0.000000 1.000000 sr} bdef c9 2152 1215 mt 2202 1265 L 2202 1215 mt 2152 1265 L 2189 1205 mt 2239 1255 L 2239 1205 mt 2189 1255 L 2179 1208 mt 2229 1258 L 2229 1208 mt 2179 1258 L 2143 1218 mt 2193 1268 L 2193 1218 mt 2143 1268 L 2227 1195 mt 2277 1245 L 2277 1195 mt 2227 1245 L 2184 1206 mt 2234 1256 L 2234 1206 mt 2184 1256 L 2204 1201 mt 2254 1251 L 2254 1201 mt 2204 1251 L 2159 1213 mt 2209 1263 L 2209 1213 mt 2159 1263 L 2161 1213 mt 2211 1263 L 2211 1213 mt 2161 1263 L 2196 1203 mt 2246 1253 L 2246 1203 mt 2196 1253 L 2188 1205 mt 2238 1255 L 2238 1205 mt 2188 1255 L 2251 1188 mt 2301 1238 L 2301 1188 mt 2251 1238 L 2175 1209 mt 2225 1259 L 2225 1209 mt 2175 1259 L 2264 1185 mt 2314 1235 L 2314 1185 mt 2264 1235 L 2239 1192 mt 2289 1242 L 2289 1192 mt 2239 1242 L 2114 1225 mt 2164 1275 L 2164 1225 mt 2114 1275 L 2124 1223 mt 2174 1273 L 2174 1223 mt 2124 1273 L 2164 1212 mt 2214 1262 L 2214 1212 mt 2164 1262 L 2178 1208 mt 2228 1258 L 2228 1208 mt 2178 1258 L 2185 1206 mt 2235 1256 L 2235 1206 mt 2185 1256 L 2215 1198 mt 2265 1248 L 2265 1198 mt 2215 1248 L 2158 1213 mt 2208 1263 L 2208 1213 mt 2158 1263 L 2159 1213 mt 2209 1263 L 2209 1213 mt 2159 1263 L 2177 1208 mt 2227 1258 L 2227 1208 mt 2177 1258 L 2184 1207 mt 2234 1257 L 2234 1207 mt 2184 1257 L 2195 1204 mt 2245 1254 L 2245 1204 mt 2195 1254 L 2223 1196 mt 2273 1246 L 2273 1196 mt 2223 1246 L 2207 1200 mt 2257 1250 L 2257 1200 mt 2207 1250 L 2121 1223 mt 2171 1273 L 2171 1223 mt 2121 1273 L 2210 1200 mt 2260 1250 L 2260 1200 mt 2210 1250 L 2214 1198 mt 2264 1248 L 2264 1198 mt 2214 1248 L 2207 1200 mt 2257 1250 L 2257 1200 mt 2207 1250 L 2232 1194 mt 2282 1244 L 2282 1194 mt 2232 1244 L 2196 1203 mt 2246 1253 L 2246 1203 mt 2196 1253 L 2160 1213 mt 2210 1263 L 2210 1213 mt 2160 1263 L 2179 1208 mt 2229 1258 L 2229 1208 mt 2179 1258 L 2096 1230 mt 2146 1280 L 2146 1230 mt 2096 1280 L 2202 1202 mt 2252 1252 L 2252 1202 mt 2202 1252 L 2189 1205 mt 2239 1255 L 2239 1205 mt 2189 1255 L 2163 1212 mt 2213 1262 L 2213 1212 mt 2163 1262 L 2161 1213 mt 2211 1263 L 2211 1213 mt 2161 1263 L 2146 1217 mt 2196 1267 L 2196 1217 mt 2146 1267 L 2183 1207 mt 2233 1257 L 2233 1207 mt 2183 1257 L 2198 1203 mt 2248 1253 L 2248 1203 mt 2198 1253 L 2173 1210 mt 2223 1260 L 2223 1210 mt 2173 1260 L 2166 1211 mt 2216 1261 L 2216 1211 mt 2166 1261 L 2183 1207 mt 2233 1257 L 2233 1207 mt 2183 1257 L 2178 1208 mt 2228 1258 L 2228 1208 mt 2178 1258 L 2150 1216 mt 2200 1266 L 2200 1216 mt 2150 1266 L 2231 1194 mt 2281 1244 L 2281 1194 mt 2231 1244 L 2180 1207 mt 2230 1257 L 2230 1207 mt 2180 1257 L 2191 1205 mt 2241 1255 L 2241 1205 mt 2191 1255 L 2166 1211 mt 2216 1261 L 2216 1211 mt 2166 1261 L 2159 1213 mt 2209 1263 L 2209 1213 mt 2159 1263 L 2203 1201 mt 2253 1251 L 2253 1201 mt 2203 1251 L 2169 1210 mt 2219 1260 L 2219 1210 mt 2169 1260 L 2193 1204 mt 2243 1254 L 2243 1204 mt 2193 1254 L 2150 1216 mt 2200 1266 L 2200 1216 mt 2150 1266 L 2179 1208 mt 2229 1258 L 2229 1208 mt 2179 1258 L 2211 1199 mt 2261 1249 L 2261 1199 mt 2211 1249 L 2152 1215 mt 2202 1265 L 2202 1215 mt 2152 1265 L 2189 1205 mt 2239 1255 L 2239 1205 mt 2189 1255 L 2176 1209 mt 2226 1259 L 2226 1209 mt 2176 1259 L 2182 1207 mt 2232 1257 L 2232 1207 mt 2182 1257 L 2172 1210 mt 2222 1260 L 2222 1210 mt 2172 1260 L 2110 1227 mt 2160 1277 L 2160 1227 mt 2110 1277 L 2179 1208 mt 2229 1258 L 2229 1208 mt 2179 1258 L 2235 1193 mt 2285 1243 L 2285 1193 mt 2235 1243 L 2208 1200 mt 2258 1250 L 2258 1200 mt 2208 1250 L 2171 1210 mt 2221 1260 L 2221 1210 mt 2171 1260 L 2161 1213 mt 2211 1263 L 2211 1213 mt 2161 1263 L 2193 1204 mt 2243 1254 L 2243 1204 mt 2193 1254 L 2171 1210 mt 2221 1260 L 2221 1210 mt 2171 1260 L 2165 1211 mt 2215 1261 L 2215 1211 mt 2165 1261 L 2186 1206 mt 2236 1256 L 2236 1206 mt 2186 1256 L 2230 1194 mt 2280 1244 L 2280 1194 mt 2230 1244 L 2094 1231 mt 2144 1281 L 2144 1231 mt 2094 1281 L 2206 1201 mt 2256 1251 L 2256 1201 mt 2206 1251 L 2148 1216 mt 2198 1266 L 2198 1216 mt 2148 1266 L 2218 1197 mt 2268 1247 L 2268 1197 mt 2218 1247 L 2097 1230 mt 2147 1280 L 2147 1230 mt 2097 1280 L 2176 1208 mt 2226 1258 L 2226 1208 mt 2176 1258 L 2187 1206 mt 2237 1256 L 2237 1206 mt 2187 1256 L 2169 1210 mt 2219 1260 L 2219 1210 mt 2169 1260 L 2177 1208 mt 2227 1258 L 2227 1208 mt 2177 1258 L 2130 1221 mt 2180 1271 L 2180 1221 mt 2130 1271 L 2144 1217 mt 2194 1267 L 2194 1217 mt 2144 1267 L 2155 1214 mt 2205 1264 L 2205 1214 mt 2155 1264 L 2198 1203 mt 2248 1253 L 2248 1203 mt 2198 1253 L 2163 1212 mt 2213 1262 L 2213 1212 mt 2163 1262 L 2240 1191 mt 2290 1241 L 2290 1191 mt 2240 1241 L 2190 1205 mt 2240 1255 L 2240 1205 mt 2190 1255 L 2117 1224 mt 2167 1274 L 2167 1224 mt 2117 1274 L 2168 1211 mt 2218 1261 L 2218 1211 mt 2168 1261 L 2161 1213 mt 2211 1263 L 2211 1213 mt 2161 1263 L 2188 1205 mt 2238 1255 L 2238 1205 mt 2188 1255 L 2177 1208 mt 2227 1258 L 2227 1208 mt 2177 1258 L 2174 1209 mt 2224 1259 L 2224 1209 mt 2174 1259 L 2158 1213 mt 2208 1263 L 2208 1213 mt 2158 1263 L 2182 1207 mt 2232 1257 L 2232 1207 mt 2182 1257 L gs 899 389 2263 1784 MR c np gr 0 sg 2461 2348 mt (x) s 1313 2322 mt (y) s 579 1258 mt -90 rotate (z) s 90 rotate 1425 294 mt (Porjected 2-class data) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial FA 1184 973 a(\(a\)) 1345 b(\(b\)) p Fn 651 1047 a(1.) 42 b(K-means:) 24 b(Accurac) o(y) 19 b(=) g(0.4975) 651 1128 y(2.) 42 b(Constrained) 20 b(K-means:) j(Accurac) o(y) d(=) f (0.5060) 651 1210 y(3.) 42 b(K-means) 19 b(+) g(metric:) k(Accurac) o (y) d(=) f(1) 651 1291 y(4.) 42 b(Constrained) 20 b(K-means) f(+) g (metric:) k(Accurac) o(y) d(=) e(1) 450 1426 y(Figure) 28 b(4:) 43 b(\(a\)) 28 b(Original) g(dataset) h(\(b\)) g(Data) f(scaled) h (according) h(to) e(learned) h(metric.) 52 b(\() p Fm(A) p Ff 2900 1435 a(diagonal) p Fn 3128 1426 a(') l(s) 28 b(result) g(is) 450 1509 y(sho) n(wn,) 20 b(b) o(ut) p Fm 18 w(A) p Ff 851 1518 a(full) p Fn 962 1509 a(ga) o(v) o(e) e (visually) i(indistinguishable) g(results.\)) p FA 450 1656 a(Let) p Ft 19 w(^) p Fu -44 w(c) p Fv 614 1668 a(i) p FA 659 1656 a(\() p Fu(i) p Ft 22 w(=) j(1) p Fu(;) 14 b(:) g(:) g(:) f(;) h(m) p FA(\)) j(be) g(the) f(cluster) h (to) g(which) f(point) p Fu 16 w(x) p Fv 2160 1668 a(i) p FA 2206 1656 a(is) h(assigned) g(by) f(an) h(autom) n(atic) h (clusterin) n(g) 450 1747 y(algorith) n(m,) i(and) e(let) p Fu 20 w(c) p Fv 1092 1759 a(i) p FA 1140 1747 a(be) h(some) g (\223correct\224) f(or) h(desired) g(clustering) f(of) h(the) h(data.) k (F) o(ollo) n(wing) 18 b([12) o(],) h(in) 450 1839 y(the) h(case) h(of) f(2-clu) n(ster) h(data,) f(we) g(will) h(measure) f(ho) n(w) f(well) i (the) p Ft 22 w(^) p Fu -44 w(c) p Fv 2365 1851 a(i) p FA 2393 1839 a(') -5 b(s) 21 b(match) f(the) p Fu 20 w(c) p Fv 2851 1851 a(i) p FA 2878 1839 a(') -5 b(s) 22 b(accor) n(ding) e(to) 1161 2008 y(Accur) n(ac) o(y) p Ft 22 w(=) p Fq 1588 1930 a(X) p Fv 1595 2106 a(i>j) p Ft 1732 1952 a(1) p Fz(f) p Ft(1) p Fz(f) p Fu(c) p Fv 1936 1964 a(i) p Ft 1984 1952 a(=) p Fu 23 w(c) p Fv 2108 1964 a(j) p Fz 2143 1952 a(g) p Ft 23 w(=) i(1) p Fz(f) p Ft 2 w(^) p Fu -44 w(c) p Fv 2415 1964 a(i) p Ft 2465 1952 a(=) i(^) p Fu -44 w(c) p Fv 2588 1964 a(j) p Fz 2623 1952 a(gg) p 1732 1989 975 4 v Ft 1989 2065 a(0) p Fu(:) p Ft(5) p Fu(m) p Ft(\() p Fu(m) p Fz 18 w(\000) p Ft 18 w(1\)) p Fu 2716 2008 a(;) p FA 450 2222 a(where) p Ft 23 w(1) p Fz(f\001g) p FA 23 w(is) h(the) f(indicator) f(functio) n (n) h(\() p Ft(1) p Fz(f) p Ft(T) -7 b(rue) p Fz -1 w(g) p Ft 29 w(=) 30 b(1) p FA(,) p Ft 24 w(1) p Fz(f) p Ft(F) -7 b(alse) p Fz -1 w(g) p Ft 30 w(=) 29 b(0) p FA(\).) 36 b(This) 24 b(is) h(equi) n(v) n(a) n(lent) f(to) 450 2313 y(the) f(prob) n(ability) g(that) g(for) f(tw) o(o) i(poin) n(ts) p Fu 24 w(x) p Fv 1652 2325 a(i) p FA 1680 2313 a(,) p Fu 24 w(x) p Fv 1772 2325 a(j) p FA 1831 2313 a(dra) o(wn) e(rando) n (mly) h(from) f(the) h(dataset,) g(our) g(clusterin) n(g) p Ft 452 2404 a(^) p Fu -44 w(c) p FA 31 w(agrees) 30 b(with) g(the) h (\223true\224) e(clustering) p Fu 30 w(c) p FA 31 w(on) h(whethe) n(r) p Fu 31 w(x) p Fv 2189 2416 a(i) p FA 2248 2404 a(and) p Fu 30 w(x) p Fv 2446 2416 a(j) p FA 2512 2404 a(belong) f(to) i(same) f (or) g(dif) n(fere) n(nt) 450 2506 y(clusters.) p Fp 725 2476 a(8) p FA 450 2626 a(As) c(a) h(simple) e(e) o(xamp) n(le,) j (consid) n(er) e(Figure) f(4,) i(which) e(sho) n(ws) h(a) g(clustering) f(pro) n(blem) h(in) f(which) h(the) 450 2718 y(\223true) d (clusters\224) h(\(indica) n(ted) g(by) f(the) h(dif) n(fer) n(ent) g (symbo) n(ls/colors) g(in) g(the) f(plot\)) g(are) h(distinguish) n(ed) g(by) 450 2809 y(their) p Fu 28 w(x) p FA(-coord) n(inate,) 30 b(b) n(ut) f(where) e(the) i(data) f(in) g(its) i(orig) n(inal) f (space) f(seems) h(to) f(cluster) h(much) e(better) 450 2900 y(accord) n(ing) 21 b(to) g(their) p Fu 21 w(y) p FA 3 w(-coor) n(dinate.) 28 b(As) 22 b(sho) n(wn) e(by) h(the) g (accura) n(c) o(y) g(scores) h(gi) n(v) o(e) n(n) f(in) h(the) f (\002gure,) f(both) 450 2992 y(K-mean) n(s) 29 b(and) f(constrain) n (ed) g(K-means) g(f) o(ailed) g(to) g(\002nd) g(goo) n(d) h(clustering) n(s.) 50 b(But) 28 b(by) g(\002rst) h(learnin) n(g) 450 3083 y(a) e(distance) g(metric) g(and) f(then) h(clustering) f(accord) n (ing) h(to) g(that) g(metric,) h(we) f(easily) h(\002nd) f(the) g(corr) n(ect) 450 3174 y(clustering) i(separatin) n(g) h(the) g(true) f (clusters) h(from) f(each) g(other) -5 b(.) 54 b(Figur) n(e) 31 b(5) e(gi) n(v) o(es) h(anoth) n(er) g(e) o(xamp) n(le) 450 3266 y(sho) n(wing) 19 b(similar) h(results.) 450 3386 y(W) -7 b(e) 25 b(also) f(app) n(lied) g(our) f(metho) n(ds) h(to) g(9) g(datasets) g(fro) n(m) g(the) g(UC) g(Irvine) f(repo) n(sitory) -5 b(.) 34 b(Here,) 24 b(the) g(\223true) 450 3477 y(clustering) n(\224) i (is) f(gi) n(v) o(en) f(by) g(the) h(data') -5 b(s) 25 b(class) g(labels.) 39 b(In) 25 b(each,) g(we) g(ran) f(one) g(e) o (xperim) n(ent) h(using) f(\223lit-) 450 3569 y(tle\224) i(side-infor) n (mation) p Fz 25 w(S) p FA 6 w(,) j(and) c(one) h(with) g(\223much) n (\224) g(side-infor) n(mation.) 42 b(The) 25 b(results) i(are) f(gi) n (v) o(e) n(n) g(in) 450 3660 y(Figure) 20 b(6.) p Fp 751 3630 a(9) p FA 450 3780 a(W) -7 b(e) 33 b(see) g(that,) i(in) d (almost) g(e) n(v) o(ery) f(prob) n(lem,) k(using) d(a) h(learne) n(d) g (diago) n(nal) f(or) g(full) g(metric) g(leads) g(to) 450 3872 y(signi\002cantly) 24 b(impro) o(v) m(ed) h(perfo) n(rmance) f(o) o (v) o(er) g(nai) n(v) o(e) h(K-mean) n(s.) 41 b(In) 25 b(most) h(of) f(the) g(prob) n(lems,) i(using) 450 3963 y(a) 22 b(learned) f(metric) g(with) h(constra) n(ined) g(K-mean) n(s) h (\(the) e(5th) g(bar) g(for) g(diagon) n(al) p Fu 22 w(A) p FA(,) i(6th) e(bar) h(for) f(full) p Fu 21 w(A) p FA(\)) 450 4054 y(also) 28 b(outper) n(forms) g(using) f(constrain) n (ed) h(K-means) g(alone) f(\(4th) g(bar\),) i(sometimes) f(by) f(a) i (v) o(er) n(y) g(lar) o(g) n(e) p 450 4108 1196 4 v Fo 555 4163 a(8) p Fn 584 4195 a(In) f(the) g(case) f(of) h(man) o(y) g (\() p Fm(>) p Fk 37 w(2) p Fn(\)) g(clusters,) h(this) f(e) n(v) n (aluation) g(metric) g(tends) g(to) f(gi) n(v) o(e) h(in\003ated) f (scores) h(since) 450 4278 y(almost) c(an) o(y) g(clustering) g(will) f (correctly) h(predict) g(that) g(most) g(pairs) g(are) f(in) h(dif) n (ferent) g(clusters.) 38 b(In) 24 b(this) f(setting,) 450 4361 y(we) f(therefore) g(modi\002ed) h(the) f(measure) g(a) o(v) o (eraging) h(not) f(only) p Fm 23 w(x) p Fl 2151 4369 a(i) p Fn 2177 4361 a(,) p Fm 22 w(x) p Fl 2262 4369 a(j) p Fn 2316 4361 a(dra) o(wn) g(uniformly) h(at) f(random,) h(b) o (ut) f(from) 450 4444 y(the) 17 b(same) h(cluster) f(\(as) h (determined) g(by) p Fk 20 w(^) p Fm -40 w(c) p Fn(\)) f(with) g (chance) i(0.5,) e(and) h(from) g(dif) n(ferent) f(clusters) h(with) e (chan) r(ce) h(0.5,) h(so) 450 4527 y(that) e(\223matches\224) h(and) g (\223mis-matches\224) g(are) f(gi) n(v) o(en) h(the) f(same) g(weight.) 23 b(All) 15 b(results) h(reported) h(here) f(used) h(K-means) 450 4610 y(with) i(multiple) f(restarts,) g(and) i(are) f(a) o(v) o(erages) g(o) o(v) o(er) h(at) e(least) h(20) g(trials) f(\(e) o(xcept) i(for) f (wine,) f(10) i(trials\).) p Fo 555 4669 a(9) p Fi 584 4701 a(S) p Fn 26 w(w) o(as) i(generated) g(by) f(picking) h(a) f (random) h(subset) g(of) f(all) f(pairs) h(of) g(points) h(sharing) g (the) f(same) g(class) p Fm 21 w(c) p Fl 3313 4709 a(i) p Fn 3340 4701 a(.) 29 b(In) 450 4784 y(the) 18 b(case) h(of) f (\223little\224) f(side-information,) i(the) f(size) g(of) h(the) f (subset) h(w) o(as) f(chosen) h(so) g(that) f(the) g(resulting) h (number) g(of) 450 4867 y(resulting) k(conn) r(ected) g(compon) r(ents) p Fm 23 w(K) p Fl 1509 4875 a(c) p Fn 1564 4867 a(\(see) g(footnote) h (7\)) f(w) o(ould) h(be) f(v) o(ery) g(rough) r(ly) g(90\045) g(of) h (the) f(size) g(of) g(the) 450 4950 y(original) c(dataset.) k(In) c (the) g(case) h(of) f(\223much\224) h(side-information,) f(this) g(w) o (as) g(changed) h(to) f(70\045.) p 90 rotate dyy eop %%Page: 7 7 7 6 bop 669 1087 a @beginspecial 56 @llx 413 @lly 286 @urx 600 @ury 1296 @rwi @setspecial %%BeginDocument: figure_new/f5a_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/newfig/f5a_new.eps %%CreationDate: 06/28/2002 04:36:50 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 56 413 286 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 56 413 286 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 463 134 2758 2243 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 986 -982 -452 0 -985 3160 1825 4 MP PP 982 451 0 986 -982 -452 0 -985 3160 1825 5 MP stroke 982 451 1280 -346 -983 -451 1881 2171 4 MP PP -1279 346 982 451 1280 -346 -983 -451 1881 2171 5 MP stroke 0 986 1280 -347 0 -985 898 1720 4 MP PP -1280 346 0 986 1280 -347 0 -985 898 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2171 mt 3160 1825 L 1881 2171 mt 898 1720 L 898 1720 mt 898 735 L 2063 2122 mt 2094 2136 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 2125 2261 mt (-50) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 2978 1875 mt 3008 1888 L 3039 2014 mt (50) s 1740 2107 mt 1708 2116 L 1472 2236 mt (-50) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 1039 1785 mt 1007 1793 L 840 1913 mt (50) s 898 1579 mt 868 1566 L 634 1595 mt (-50) s 898 1227 mt 868 1214 L 771 1243 mt (0) s 898 876 mt 868 862 L 704 891 mt (50) s 2461 2348 mt (x) s gs 898 388 2263 1784 MR c np gr /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 2117 1694 mt 2167 1744 L 2167 1694 mt 2117 1744 L gs 898 388 2263 1784 MR c np gr 2127 916 mt 2177 966 L 2177 916 mt 2127 966 L gs 898 388 2263 1784 MR c np gr 2118 982 mt 2168 1032 L 2168 982 mt 2118 1032 L gs 898 388 2263 1784 MR c np gr 2131 1106 mt 2181 1156 L 2181 1106 mt 2131 1156 L gs 898 388 2263 1784 MR c np gr 2116 987 mt 2166 1037 L 2166 987 mt 2116 1037 L gs 898 388 2263 1784 MR c np gr 2111 1228 mt 2161 1278 L 2161 1228 mt 2111 1278 L gs 898 388 2263 1784 MR c np gr 2130 1412 mt 2180 1462 L 2180 1412 mt 2130 1462 L gs 898 388 2263 1784 MR c np gr 2136 1257 mt 2186 1307 L 2186 1257 mt 2136 1307 L gs 898 388 2263 1784 MR c np gr 2128 1115 mt 2178 1165 L 2178 1115 mt 2128 1165 L gs 898 388 2263 1784 MR c np gr 2149 924 mt 2199 974 L 2199 924 mt 2149 974 L gs 898 388 2263 1784 MR c np gr 2148 1078 mt 2198 1128 L 2198 1078 mt 2148 1128 L gs 898 388 2263 1784 MR c np gr 2139 1180 mt 2189 1230 L 2189 1180 mt 2139 1230 L gs 898 388 2263 1784 MR c np gr 2142 1195 mt 2192 1245 L 2192 1195 mt 2142 1245 L gs 898 388 2263 1784 MR c np gr 2135 1079 mt 2185 1129 L 2185 1079 mt 2135 1129 L gs 898 388 2263 1784 MR c np gr 2118 975 mt 2168 1025 L 2168 975 mt 2118 1025 L gs 898 388 2263 1784 MR c np gr 2035 1010 mt 2085 1060 L 2085 1010 mt 2035 1060 L gs 898 388 2263 1784 MR c np gr 2008 1129 mt 2058 1179 L 2058 1129 mt 2008 1179 L gs 898 388 2263 1784 MR c np gr 2038 1285 mt 2088 1335 L 2088 1285 mt 2038 1335 L gs 898 388 2263 1784 MR c np gr 2020 1435 mt 2070 1485 L 2070 1435 mt 2020 1485 L gs 898 388 2263 1784 MR c np gr 2022 1295 mt 2072 1345 L 2072 1295 mt 2022 1345 L gs 898 388 2263 1784 MR c np gr 2022 1341 mt 2072 1391 L 2072 1341 mt 2022 1391 L gs 898 388 2263 1784 MR c np gr 2041 1247 mt 2091 1297 L 2091 1247 mt 2041 1297 L gs 898 388 2263 1784 MR c np gr 2026 1026 mt 2076 1076 L 2076 1026 mt 2026 1076 L gs 898 388 2263 1784 MR c np gr 2127 1288 mt 2177 1338 L 2177 1288 mt 2127 1338 L gs 898 388 2263 1784 MR c np gr 2132 1201 mt 2182 1251 L 2182 1201 mt 2132 1251 L gs 898 388 2263 1784 MR c np gr 2135 1413 mt 2185 1463 L 2185 1413 mt 2135 1463 L gs 898 388 2263 1784 MR c np gr 2123 1523 mt 2173 1573 L 2173 1523 mt 2123 1573 L gs 898 388 2263 1784 MR c np gr 2126 1373 mt 2176 1423 L 2176 1373 mt 2126 1423 L gs 898 388 2263 1784 MR c np gr 2126 1454 mt 2176 1504 L 2176 1454 mt 2126 1504 L gs 898 388 2263 1784 MR c np gr 2131 1137 mt 2181 1187 L 2181 1137 mt 2131 1187 L gs 898 388 2263 1784 MR c np gr 2129 1064 mt 2179 1114 L 2179 1064 mt 2129 1114 L gs 898 388 2263 1784 MR c np gr 2126 1141 mt 2176 1191 L 2176 1141 mt 2126 1191 L gs 898 388 2263 1784 MR c np gr 2134 1576 mt 2184 1626 L 2184 1576 mt 2134 1626 L gs 898 388 2263 1784 MR c np gr 2128 1610 mt 2178 1660 L 2178 1610 mt 2128 1660 L gs 898 388 2263 1784 MR c np gr 2134 1483 mt 2184 1533 L 2184 1483 mt 2134 1533 L gs 898 388 2263 1784 MR c np gr 2134 1300 mt 2184 1350 L 2184 1300 mt 2134 1350 L gs 898 388 2263 1784 MR c np gr 2136 998 mt 2186 1048 L 2186 998 mt 2136 1048 L gs 898 388 2263 1784 MR c np gr 2140 1341 mt 2190 1391 L 2190 1341 mt 2140 1391 L gs 898 388 2263 1784 MR c np gr 2143 1506 mt 2193 1556 L 2193 1506 mt 2143 1556 L gs 898 388 2263 1784 MR c np gr 2138 1200 mt 2188 1250 L 2188 1200 mt 2138 1250 L gs 898 388 2263 1784 MR c np gr 2143 1327 mt 2193 1377 L 2193 1327 mt 2143 1377 L gs 898 388 2263 1784 MR c np gr 2133 1729 mt 2183 1779 L 2183 1729 mt 2133 1779 L gs 898 388 2263 1784 MR c np gr 2135 1453 mt 2185 1503 L 2185 1453 mt 2135 1503 L gs 898 388 2263 1784 MR c np gr 2136 1319 mt 2186 1369 L 2186 1319 mt 2136 1369 L gs 898 388 2263 1784 MR c np gr 2129 1498 mt 2179 1548 L 2179 1498 mt 2129 1548 L gs 898 388 2263 1784 MR c np gr 2143 1670 mt 2193 1720 L 2193 1670 mt 2143 1720 L gs 898 388 2263 1784 MR c np gr 2152 1342 mt 2202 1392 L 2202 1342 mt 2152 1392 L gs 898 388 2263 1784 MR c np gr 2155 1452 mt 2205 1502 L 2205 1452 mt 2155 1502 L gs 898 388 2263 1784 MR c np gr 2153 1339 mt 2203 1389 L 2203 1339 mt 2153 1389 L gs 898 388 2263 1784 MR c np gr 2122 1203 mt 2172 1253 L 2172 1203 mt 2122 1253 L gs 898 388 2263 1784 MR c np gr 2121 1298 mt 2171 1348 L 2171 1298 mt 2121 1348 L gs 898 388 2263 1784 MR c np gr 2129 1271 mt 2179 1321 L 2179 1271 mt 2129 1321 L gs 898 388 2263 1784 MR c np gr 2125 1147 mt 2175 1197 L 2175 1147 mt 2125 1197 L gs 898 388 2263 1784 MR c np gr 2144 1383 mt 2194 1433 L 2194 1383 mt 2144 1433 L gs 898 388 2263 1784 MR c np gr 2143 1147 mt 2193 1197 L 2193 1147 mt 2143 1197 L gs 898 388 2263 1784 MR c np gr 2134 1604 mt 2184 1654 L 2184 1604 mt 2134 1654 L gs 898 388 2263 1784 MR c np gr 2127 1455 mt 2177 1505 L 2177 1455 mt 2127 1505 L gs 898 388 2263 1784 MR c np gr 2125 1200 mt 2175 1250 L 2175 1200 mt 2125 1250 L gs 898 388 2263 1784 MR c np gr 2052 1230 mt 2102 1280 L 2102 1230 mt 2052 1280 L gs 898 388 2263 1784 MR c np gr 2045 899 mt 2095 949 L 2095 899 mt 2045 949 L gs 898 388 2263 1784 MR c np gr 2035 1071 mt 2085 1121 L 2085 1071 mt 2035 1121 L gs 898 388 2263 1784 MR c np gr 2044 787 mt 2094 837 L 2094 787 mt 2044 837 L gs 898 388 2263 1784 MR c np gr 2049 979 mt 2099 1029 L 2099 979 mt 2049 1029 L gs 898 388 2263 1784 MR c np gr 2044 1698 mt 2094 1748 L 2094 1698 mt 2044 1748 L gs 898 388 2263 1784 MR c np gr 2042 1591 mt 2092 1641 L 2092 1591 mt 2042 1641 L gs 898 388 2263 1784 MR c np gr 2015 1259 mt 2065 1309 L 2065 1259 mt 2015 1309 L gs 898 388 2263 1784 MR c np gr 2024 1104 mt 2074 1154 L 2074 1104 mt 2024 1154 L gs 898 388 2263 1784 MR c np gr 2039 1535 mt 2089 1585 L 2089 1535 mt 2039 1585 L gs 898 388 2263 1784 MR c np gr 2041 1348 mt 2091 1398 L 2091 1348 mt 2041 1398 L gs 898 388 2263 1784 MR c np gr 2039 1248 mt 2089 1298 L 2089 1248 mt 2039 1298 L gs 898 388 2263 1784 MR c np gr 2007 1167 mt 2057 1217 L 2057 1167 mt 2007 1217 L gs 898 388 2263 1784 MR c np gr 2018 1144 mt 2068 1194 L 2068 1144 mt 2018 1194 L gs 898 388 2263 1784 MR c np gr 2025 939 mt 2075 989 L 2075 939 mt 2025 989 L gs 898 388 2263 1784 MR c np gr 2030 1187 mt 2080 1237 L 2080 1187 mt 2030 1237 L gs 898 388 2263 1784 MR c np gr 2026 1078 mt 2076 1128 L 2076 1078 mt 2026 1128 L gs 898 388 2263 1784 MR c np gr 2030 1091 mt 2080 1141 L 2080 1091 mt 2030 1141 L gs 898 388 2263 1784 MR c np gr 2017 1151 mt 2067 1201 L 2067 1151 mt 2017 1201 L gs 898 388 2263 1784 MR c np gr 2013 1492 mt 2063 1542 L 2063 1492 mt 2013 1542 L gs 898 388 2263 1784 MR c np gr 2013 1594 mt 2063 1644 L 2063 1594 mt 2013 1644 L gs 898 388 2263 1784 MR c np gr 2016 1378 mt 2066 1428 L 2066 1378 mt 2016 1428 L gs 898 388 2263 1784 MR c np gr 2030 1505 mt 2080 1555 L 2080 1505 mt 2030 1555 L gs 898 388 2263 1784 MR c np gr 2034 1215 mt 2084 1265 L 2084 1215 mt 2034 1265 L gs 898 388 2263 1784 MR c np gr 2036 1152 mt 2086 1202 L 2086 1152 mt 2036 1202 L gs 898 388 2263 1784 MR c np gr 2033 977 mt 2083 1027 L 2083 977 mt 2033 1027 L gs 898 388 2263 1784 MR c np gr 2028 1359 mt 2078 1409 L 2078 1359 mt 2028 1409 L gs 898 388 2263 1784 MR c np gr /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 1986 1044 mt 2058 1044 L 2022 1008 mt 2022 1080 L gs 898 388 2263 1784 MR c np gr 1987 1261 mt 2059 1261 L 2023 1225 mt 2023 1297 L gs 898 388 2263 1784 MR c np gr c8 2000 1351 mt 2050 1401 L 2050 1351 mt 2000 1401 L gs 898 388 2263 1784 MR c np gr 2004 1234 mt 2054 1284 L 2054 1234 mt 2004 1284 L gs 898 388 2263 1784 MR c np gr 2004 988 mt 2054 1038 L 2054 988 mt 2004 1038 L gs 898 388 2263 1784 MR c np gr 2012 1114 mt 2062 1164 L 2062 1114 mt 2012 1164 L gs 898 388 2263 1784 MR c np gr c9 1995 1339 mt 2067 1339 L 2031 1303 mt 2031 1375 L gs 898 388 2263 1784 MR c np gr c8 2012 1203 mt 2062 1253 L 2062 1203 mt 2012 1253 L gs 898 388 2263 1784 MR c np gr c9 2016 1201 mt 2088 1201 L 2052 1165 mt 2052 1237 L gs 898 388 2263 1784 MR c np gr c8 2025 1031 mt 2075 1081 L 2075 1031 mt 2025 1081 L gs 898 388 2263 1784 MR c np gr 2018 1170 mt 2068 1220 L 2068 1170 mt 2018 1220 L gs 898 388 2263 1784 MR c np gr 2017 1203 mt 2067 1253 L 2067 1203 mt 2017 1253 L gs 898 388 2263 1784 MR c np gr 2015 1564 mt 2065 1614 L 2065 1564 mt 2015 1614 L gs 898 388 2263 1784 MR c np gr 2015 1494 mt 2065 1544 L 2065 1494 mt 2015 1544 L gs 898 388 2263 1784 MR c np gr 2011 1493 mt 2061 1543 L 2061 1493 mt 2011 1543 L gs 898 388 2263 1784 MR c np gr 2010 1403 mt 2060 1453 L 2060 1403 mt 2010 1453 L gs 898 388 2263 1784 MR c np gr 2007 993 mt 2057 1043 L 2057 993 mt 2007 1043 L gs 898 388 2263 1784 MR c np gr 0 sg 1692 293 mt (Original data) s gs 898 388 2263 1784 MR c np gr c9 1944 1451 mt 2016 1451 L 1980 1415 mt 1980 1487 L gs 898 388 2263 1784 MR c np gr 1959 1689 mt 2031 1689 L 1995 1653 mt 1995 1725 L gs 898 388 2263 1784 MR c np gr 1951 1365 mt 2023 1365 L 1987 1329 mt 1987 1401 L gs 898 388 2263 1784 MR c np gr 1971 1513 mt 2043 1513 L 2007 1477 mt 2007 1549 L gs 898 388 2263 1784 MR c np gr 1980 1429 mt 2052 1429 L 2016 1393 mt 2016 1465 L gs 898 388 2263 1784 MR c np gr 1964 1495 mt 2036 1495 L 2000 1459 mt 2000 1531 L gs 898 388 2263 1784 MR c np gr 1977 1271 mt 2049 1271 L 2013 1235 mt 2013 1307 L gs 898 388 2263 1784 MR c np gr 1960 1297 mt 2032 1297 L 1996 1261 mt 1996 1333 L gs 898 388 2263 1784 MR c np gr 1973 1261 mt 2045 1261 L 2009 1225 mt 2009 1297 L gs 898 388 2263 1784 MR c np gr 1971 1201 mt 2043 1201 L 2007 1165 mt 2007 1237 L gs 898 388 2263 1784 MR c np gr 1966 1143 mt 2038 1143 L 2002 1107 mt 2002 1179 L gs 898 388 2263 1784 MR c np gr 1977 1084 mt 2049 1084 L 2013 1048 mt 2013 1120 L gs 898 388 2263 1784 MR c np gr 1972 888 mt 2044 888 L 2008 852 mt 2008 924 L gs 898 388 2263 1784 MR c np gr 1966 1359 mt 2038 1359 L 2002 1323 mt 2002 1395 L gs 898 388 2263 1784 MR c np gr 1982 1249 mt 2054 1249 L 2018 1213 mt 2018 1285 L gs 898 388 2263 1784 MR c np gr 1961 1411 mt 2033 1411 L 1997 1375 mt 1997 1447 L gs 898 388 2263 1784 MR c np gr 1970 1803 mt 2042 1803 L 2006 1767 mt 2006 1839 L gs 898 388 2263 1784 MR c np gr 1971 1519 mt 2043 1519 L 2007 1483 mt 2007 1555 L gs 898 388 2263 1784 MR c np gr 1980 1227 mt 2052 1227 L 2016 1191 mt 2016 1263 L gs 898 388 2263 1784 MR c np gr c8 1997 1362 mt 2047 1412 L 2047 1362 mt 1997 1412 L gs 898 388 2263 1784 MR c np gr c9 1990 1457 mt 2062 1457 L 2026 1421 mt 2026 1493 L gs 898 388 2263 1784 MR c np gr 1985 1351 mt 2057 1351 L 2021 1315 mt 2021 1387 L gs 898 388 2263 1784 MR c np gr 1986 1618 mt 2058 1618 L 2022 1582 mt 2022 1654 L gs 898 388 2263 1784 MR c np gr 1978 1207 mt 2050 1207 L 2014 1171 mt 2014 1243 L gs 898 388 2263 1784 MR c np gr 1980 1380 mt 2052 1380 L 2016 1344 mt 2016 1416 L gs 898 388 2263 1784 MR c np gr 1972 1267 mt 2044 1267 L 2008 1231 mt 2008 1303 L gs 898 388 2263 1784 MR c np gr 1981 1183 mt 2053 1183 L 2017 1147 mt 2017 1219 L gs 898 388 2263 1784 MR c np gr 1975 1135 mt 2047 1135 L 2011 1099 mt 2011 1171 L gs 898 388 2263 1784 MR c np gr 1975 1173 mt 2047 1173 L 2011 1137 mt 2011 1209 L gs 898 388 2263 1784 MR c np gr 1976 1631 mt 2048 1631 L 2012 1595 mt 2012 1667 L gs 898 388 2263 1784 MR c np gr 1991 1679 mt 2063 1679 L 2027 1643 mt 2027 1715 L gs 898 388 2263 1784 MR c np gr 1989 1122 mt 2061 1122 L 2025 1086 mt 2025 1158 L gs 898 388 2263 1784 MR c np gr 1986 1288 mt 2058 1288 L 2022 1252 mt 2022 1324 L gs 898 388 2263 1784 MR c np gr 1986 1151 mt 2058 1151 L 2022 1115 mt 2022 1187 L gs 898 388 2263 1784 MR c np gr 1985 1314 mt 2057 1314 L 2021 1278 mt 2021 1350 L gs 898 388 2263 1784 MR c np gr 1984 1254 mt 2056 1254 L 2020 1218 mt 2020 1290 L gs 898 388 2263 1784 MR c np gr c8 1992 1218 mt 2042 1268 L 2042 1218 mt 1992 1268 L gs 898 388 2263 1784 MR c np gr c9 1981 1043 mt 2053 1043 L 2017 1007 mt 2017 1079 L gs 898 388 2263 1784 MR c np gr 1979 1030 mt 2051 1030 L 2015 994 mt 2015 1066 L gs 898 388 2263 1784 MR c np gr 1974 1286 mt 2046 1286 L 2010 1250 mt 2010 1322 L gs 898 388 2263 1784 MR c np gr 1971 1396 mt 2043 1396 L 2007 1360 mt 2007 1432 L gs 898 388 2263 1784 MR c np gr 1970 1078 mt 2042 1078 L 2006 1042 mt 2006 1114 L gs 898 388 2263 1784 MR c np gr 1970 1419 mt 2042 1419 L 2006 1383 mt 2006 1455 L gs 898 388 2263 1784 MR c np gr 1969 1351 mt 2041 1351 L 2005 1315 mt 2005 1387 L gs 898 388 2263 1784 MR c np gr 1963 1256 mt 2035 1256 L 1999 1220 mt 1999 1292 L gs 898 388 2263 1784 MR c np gr 1961 1156 mt 2033 1156 L 1997 1120 mt 1997 1192 L gs 898 388 2263 1784 MR c np gr 1960 1631 mt 2032 1631 L 1996 1595 mt 1996 1667 L gs 898 388 2263 1784 MR c np gr 1956 1358 mt 2028 1358 L 1992 1322 mt 1992 1394 L gs 898 388 2263 1784 MR c np gr 1886 1157 mt 1958 1157 L 1922 1121 mt 1922 1193 L gs 898 388 2263 1784 MR c np gr 1876 1445 mt 1948 1445 L 1912 1409 mt 1912 1481 L gs 898 388 2263 1784 MR c np gr 1863 1478 mt 1935 1478 L 1899 1442 mt 1899 1514 L gs 898 388 2263 1784 MR c np gr 1871 1532 mt 1943 1532 L 1907 1496 mt 1907 1568 L gs 898 388 2263 1784 MR c np gr 1871 1310 mt 1943 1310 L 1907 1274 mt 1907 1346 L gs 898 388 2263 1784 MR c np gr 1872 1330 mt 1944 1330 L 1908 1294 mt 1908 1366 L gs 898 388 2263 1784 MR c np gr 1867 1217 mt 1939 1217 L 1903 1181 mt 1903 1253 L gs 898 388 2263 1784 MR c np gr 1874 1685 mt 1946 1685 L 1910 1649 mt 1910 1721 L gs 898 388 2263 1784 MR c np gr 1875 1275 mt 1947 1275 L 1911 1239 mt 1911 1311 L gs 898 388 2263 1784 MR c np gr 1879 1211 mt 1951 1211 L 1915 1175 mt 1915 1247 L gs 898 388 2263 1784 MR c np gr 1884 1458 mt 1956 1458 L 1920 1422 mt 1920 1494 L gs 898 388 2263 1784 MR c np gr 1881 976 mt 1953 976 L 1917 940 mt 1917 1012 L gs 898 388 2263 1784 MR c np gr 1842 1377 mt 1914 1377 L 1878 1341 mt 1878 1413 L gs 898 388 2263 1784 MR c np gr 1841 1167 mt 1913 1167 L 1877 1131 mt 1877 1203 L gs 898 388 2263 1784 MR c np gr 1849 1276 mt 1921 1276 L 1885 1240 mt 1885 1312 L gs 898 388 2263 1784 MR c np gr 1857 1451 mt 1929 1451 L 1893 1415 mt 1893 1487 L gs 898 388 2263 1784 MR c np gr 1857 714 mt 1929 714 L 1893 678 mt 1893 750 L gs 898 388 2263 1784 MR c np gr 1859 1247 mt 1931 1247 L 1895 1211 mt 1895 1283 L gs 898 388 2263 1784 MR c np gr 1862 1235 mt 1934 1235 L 1898 1199 mt 1898 1271 L gs 898 388 2263 1784 MR c np gr 1868 1114 mt 1940 1114 L 1904 1078 mt 1904 1150 L gs 898 388 2263 1784 MR c np gr 1867 1086 mt 1939 1086 L 1903 1050 mt 1903 1122 L gs 898 388 2263 1784 MR c np gr 1874 1105 mt 1946 1105 L 1910 1069 mt 1910 1141 L gs 898 388 2263 1784 MR c np gr 1853 1291 mt 1925 1291 L 1889 1255 mt 1889 1327 L gs 898 388 2263 1784 MR c np gr 1858 1053 mt 1930 1053 L 1894 1017 mt 1894 1089 L gs 898 388 2263 1784 MR c np gr 1859 1242 mt 1931 1242 L 1895 1206 mt 1895 1278 L gs 898 388 2263 1784 MR c np gr 1860 1661 mt 1932 1661 L 1896 1625 mt 1896 1697 L gs 898 388 2263 1784 MR c np gr 1864 1307 mt 1936 1307 L 1900 1271 mt 1900 1343 L gs 898 388 2263 1784 MR c np gr 1875 1325 mt 1947 1325 L 1911 1289 mt 1911 1361 L gs 898 388 2263 1784 MR c np gr 1872 1278 mt 1944 1278 L 1908 1242 mt 1908 1314 L gs 898 388 2263 1784 MR c np gr 1862 1716 mt 1934 1716 L 1898 1680 mt 1898 1752 L gs 898 388 2263 1784 MR c np gr 1866 1097 mt 1938 1097 L 1902 1061 mt 1902 1133 L gs 898 388 2263 1784 MR c np gr 1869 1117 mt 1941 1117 L 1905 1081 mt 1905 1153 L gs 898 388 2263 1784 MR c np gr 1853 1636 mt 1925 1636 L 1889 1600 mt 1889 1672 L gs 898 388 2263 1784 MR c np gr 1856 1498 mt 1928 1498 L 1892 1462 mt 1892 1534 L gs 898 388 2263 1784 MR c np gr 1853 1379 mt 1925 1379 L 1889 1343 mt 1889 1415 L gs 898 388 2263 1784 MR c np gr 1850 1079 mt 1922 1079 L 1886 1043 mt 1886 1115 L gs 898 388 2263 1784 MR c np gr 1879 849 mt 1951 849 L 1915 813 mt 1915 885 L gs 898 388 2263 1784 MR c np gr 1864 1193 mt 1936 1193 L 1900 1157 mt 1900 1229 L gs 898 388 2263 1784 MR c np gr 1866 1013 mt 1938 1013 L 1902 977 mt 1902 1049 L gs 898 388 2263 1784 MR c np gr 1871 1606 mt 1943 1606 L 1907 1570 mt 1907 1642 L gs 898 388 2263 1784 MR c np gr 1876 1268 mt 1948 1268 L 1912 1232 mt 1912 1304 L gs 898 388 2263 1784 MR c np gr 1875 1350 mt 1947 1350 L 1911 1314 mt 1911 1386 L gs 898 388 2263 1784 MR c np gr 1872 1238 mt 1944 1238 L 1908 1202 mt 1908 1274 L gs 898 388 2263 1784 MR c np gr 1870 962 mt 1942 962 L 1906 926 mt 1906 998 L gs 898 388 2263 1784 MR c np gr 1868 1506 mt 1940 1506 L 1904 1470 mt 1904 1542 L gs 898 388 2263 1784 MR c np gr 1868 1471 mt 1940 1471 L 1904 1435 mt 1904 1507 L gs 898 388 2263 1784 MR c np gr 1867 1404 mt 1939 1404 L 1903 1368 mt 1903 1440 L gs 898 388 2263 1784 MR c np gr 1863 1467 mt 1935 1467 L 1899 1431 mt 1899 1503 L gs 898 388 2263 1784 MR c np gr 1856 1242 mt 1928 1242 L 1892 1206 mt 1892 1278 L gs 898 388 2263 1784 MR c np gr 1838 1243 mt 1910 1243 L 1874 1207 mt 1874 1279 L gs 898 388 2263 1784 MR c np gr 0 sg 1313 2322 mt (y) s 579 1258 mt -90 rotate (z) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1461 w @beginspecial 56 @llx 413 @lly 286 @urx 600 @ury 1296 @rwi @setspecial %%BeginDocument: figure_new/f5b_new.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/Metric/MDL_02Jan23/code_simulation/newfig/f5b_new.eps %%CreationDate: 06/28/2002 04:37:14 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 56 413 286 600 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 56 413 286 600 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 463 134 2758 2243 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 986 -982 -452 0 -985 3160 1825 4 MP PP 982 451 0 986 -982 -452 0 -985 3160 1825 5 MP stroke 982 451 1280 -346 -983 -451 1881 2171 4 MP PP -1279 346 982 451 1280 -346 -983 -451 1881 2171 5 MP stroke 0 986 1280 -347 0 -985 898 1720 4 MP PP -1280 346 0 986 1280 -347 0 -985 898 1720 5 MP stroke 4 w DO SO 6 w 0 sg 1881 2171 mt 3160 1825 L 1881 2171 mt 898 1720 L 898 1720 mt 898 735 L 2063 2122 mt 2094 2136 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 2125 2261 mt (-50) s 2521 1998 mt 2551 2012 L 2582 2138 mt (0) s 2978 1875 mt 3008 1888 L 3039 2014 mt (50) s 1740 2107 mt 1708 2116 L 1472 2236 mt (-50) s 1390 1946 mt 1358 1954 L 1258 2075 mt (0) s 1039 1785 mt 1007 1793 L 840 1913 mt (50) s 898 1579 mt 868 1566 L 634 1595 mt (-50) s 898 1227 mt 868 1214 L 771 1243 mt (0) s 898 876 mt 868 862 L 704 891 mt (50) s gs 898 388 2263 1784 MR c np gr /c8 { 1.000000 0.000000 0.000000 sr} bdef c8 1858 1317 mt 1930 1317 L 1894 1281 mt 1894 1353 L 1866 1314 mt 1938 1314 L 1902 1278 mt 1902 1350 L 1863 1315 mt 1935 1315 L 1899 1279 mt 1899 1351 L 1821 1327 mt 1893 1327 L 1857 1291 mt 1857 1363 L 1844 1320 mt 1916 1320 L 1880 1284 mt 1880 1356 L 1854 1318 mt 1926 1318 L 1890 1282 mt 1890 1354 L 1815 1328 mt 1887 1328 L 1851 1292 mt 1851 1364 L 1840 1322 mt 1912 1322 L 1876 1286 mt 1876 1358 L 1851 1319 mt 1923 1319 L 1887 1283 mt 1887 1355 L 1810 1330 mt 1882 1330 L 1846 1294 mt 1846 1366 L 1817 1328 mt 1889 1328 L 1853 1292 mt 1853 1364 L 1851 1319 mt 1923 1319 L 1887 1283 mt 1887 1355 L 1836 1323 mt 1908 1323 L 1872 1287 mt 1872 1359 L 1846 1320 mt 1918 1320 L 1882 1284 mt 1882 1356 L 1863 1315 mt 1935 1315 L 1899 1279 mt 1899 1351 L 1845 1320 mt 1917 1320 L 1881 1284 mt 1881 1356 L 1820 1327 mt 1892 1327 L 1856 1291 mt 1856 1363 L 1851 1319 mt 1923 1319 L 1887 1283 mt 1887 1355 L 1832 1324 mt 1904 1324 L 1868 1288 mt 1868 1360 L 1820 1327 mt 1892 1327 L 1856 1291 mt 1856 1363 L 1877 1312 mt 1949 1312 L 1913 1276 mt 1913 1348 L 1837 1322 mt 1909 1322 L 1873 1286 mt 1873 1358 L 1817 1328 mt 1889 1328 L 1853 1292 mt 1853 1364 L 1848 1319 mt 1920 1319 L 1884 1283 mt 1884 1355 L 1869 1314 mt 1941 1314 L 1905 1278 mt 1905 1350 L 1847 1320 mt 1919 1320 L 1883 1284 mt 1883 1356 L 1851 1318 mt 1923 1318 L 1887 1282 mt 1887 1354 L 1838 1322 mt 1910 1322 L 1874 1286 mt 1874 1358 L 1833 1324 mt 1905 1324 L 1869 1288 mt 1869 1360 L 1853 1318 mt 1925 1318 L 1889 1282 mt 1889 1354 L 1832 1324 mt 1904 1324 L 1868 1288 mt 1868 1360 L 1837 1322 mt 1909 1322 L 1873 1286 mt 1873 1358 L 1825 1326 mt 1897 1326 L 1861 1290 mt 1861 1362 L 1822 1326 mt 1894 1326 L 1858 1290 mt 1858 1362 L 1830 1324 mt 1902 1324 L 1866 1288 mt 1866 1360 L 1812 1329 mt 1884 1329 L 1848 1293 mt 1848 1365 L 1841 1321 mt 1913 1321 L 1877 1285 mt 1877 1357 L 1838 1322 mt 1910 1322 L 1874 1286 mt 1874 1358 L 1835 1323 mt 1907 1323 L 1871 1287 mt 1871 1359 L 1791 1335 mt 1863 1335 L 1827 1299 mt 1827 1371 L 1826 1325 mt 1898 1325 L 1862 1289 mt 1862 1361 L 1841 1321 mt 1913 1321 L 1877 1285 mt 1877 1357 L 1843 1321 mt 1915 1321 L 1879 1285 mt 1879 1357 L 1839 1322 mt 1911 1322 L 1875 1286 mt 1875 1358 L 1835 1323 mt 1907 1323 L 1871 1287 mt 1871 1359 L 1804 1331 mt 1876 1331 L 1840 1295 mt 1840 1367 L 1842 1321 mt 1914 1321 L 1878 1285 mt 1878 1357 L 1833 1323 mt 1905 1323 L 1869 1287 mt 1869 1359 L 1845 1320 mt 1917 1320 L 1881 1284 mt 1881 1356 L 1848 1319 mt 1920 1319 L 1884 1283 mt 1884 1355 L 1835 1323 mt 1907 1323 L 1871 1287 mt 1871 1359 L 1843 1321 mt 1915 1321 L 1879 1285 mt 1879 1357 L 1818 1327 mt 1890 1327 L 1854 1291 mt 1854 1363 L 1852 1318 mt 1924 1318 L 1888 1282 mt 1888 1354 L 1838 1322 mt 1910 1322 L 1874 1286 mt 1874 1358 L 1890 1308 mt 1962 1308 L 1926 1272 mt 1926 1344 L 1844 1320 mt 1916 1320 L 1880 1284 mt 1880 1356 L 1810 1330 mt 1882 1330 L 1846 1294 mt 1846 1366 L 1843 1321 mt 1915 1321 L 1879 1285 mt 1879 1357 L 1846 1320 mt 1918 1320 L 1882 1284 mt 1882 1356 L 1826 1325 mt 1898 1325 L 1862 1289 mt 1862 1361 L 1840 1321 mt 1912 1321 L 1876 1285 mt 1876 1357 L 1824 1326 mt 1896 1326 L 1860 1290 mt 1860 1362 L 1836 1323 mt 1908 1323 L 1872 1287 mt 1872 1359 L 1844 1320 mt 1916 1320 L 1880 1284 mt 1880 1356 L 1859 1316 mt 1931 1316 L 1895 1280 mt 1895 1352 L 1851 1319 mt 1923 1319 L 1887 1283 mt 1887 1355 L 1784 1337 mt 1856 1337 L 1820 1301 mt 1820 1373 L 1841 1321 mt 1913 1321 L 1877 1285 mt 1877 1357 L 1852 1318 mt 1924 1318 L 1888 1282 mt 1888 1354 L 1836 1323 mt 1908 1323 L 1872 1287 mt 1872 1359 L 1853 1318 mt 1925 1318 L 1889 1282 mt 1889 1354 L 1851 1319 mt 1923 1319 L 1887 1283 mt 1887 1355 L 1861 1316 mt 1933 1316 L 1897 1280 mt 1897 1352 L 1860 1316 mt 1932 1316 L 1896 1280 mt 1896 1352 L 1855 1318 mt 1927 1318 L 1891 1282 mt 1891 1354 L 1803 1332 mt 1875 1332 L 1839 1296 mt 1839 1368 L 1816 1328 mt 1888 1328 L 1852 1292 mt 1852 1364 L 1849 1319 mt 1921 1319 L 1885 1283 mt 1885 1355 L 1816 1328 mt 1888 1328 L 1852 1292 mt 1852 1364 L 1824 1326 mt 1896 1326 L 1860 1290 mt 1860 1362 L 1849 1319 mt 1921 1319 L 1885 1283 mt 1885 1355 L 1836 1323 mt 1908 1323 L 1872 1287 mt 1872 1359 L 1857 1317 mt 1929 1317 L 1893 1281 mt 1893 1353 L 1809 1330 mt 1881 1330 L 1845 1294 mt 1845 1366 L 1845 1320 mt 1917 1320 L 1881 1284 mt 1881 1356 L 1803 1331 mt 1875 1331 L 1839 1295 mt 1839 1367 L 1807 1330 mt 1879 1330 L 1843 1294 mt 1843 1366 L 1842 1321 mt 1914 1321 L 1878 1285 mt 1878 1357 L 1833 1323 mt 1905 1323 L 1869 1287 mt 1869 1359 L 1813 1329 mt 1885 1329 L 1849 1293 mt 1849 1365 L 1830 1324 mt 1902 1324 L 1866 1288 mt 1866 1360 L 1824 1326 mt 1896 1326 L 1860 1290 mt 1860 1362 L 1818 1327 mt 1890 1327 L 1854 1291 mt 1854 1363 L 1841 1321 mt 1913 1321 L 1877 1285 mt 1877 1357 L 1806 1331 mt 1878 1331 L 1842 1295 mt 1842 1367 L 1842 1321 mt 1914 1321 L 1878 1285 mt 1878 1357 L 1796 1334 mt 1868 1334 L 1832 1298 mt 1832 1370 L 1846 1320 mt 1918 1320 L 1882 1284 mt 1882 1356 L 1842 1321 mt 1914 1321 L 1878 1285 mt 1878 1357 L gs 898 388 2263 1784 MR c np gr /c9 { 0.000000 0.000000 1.000000 sr} bdef c9 2171 1210 mt 2221 1260 L 2221 1210 mt 2171 1260 L 2173 1209 mt 2223 1259 L 2223 1209 mt 2173 1259 L 2149 1216 mt 2199 1266 L 2199 1216 mt 2149 1266 L 2179 1208 mt 2229 1258 L 2229 1208 mt 2179 1258 L 2118 1224 mt 2168 1274 L 2168 1224 mt 2118 1274 L 2184 1206 mt 2234 1256 L 2234 1206 mt 2184 1256 L 2162 1212 mt 2212 1262 L 2212 1212 mt 2162 1262 L 2130 1221 mt 2180 1271 L 2180 1221 mt 2130 1271 L 2138 1219 mt 2188 1269 L 2188 1219 mt 2138 1269 L 2166 1211 mt 2216 1261 L 2216 1211 mt 2166 1261 L 2167 1211 mt 2217 1261 L 2217 1211 mt 2167 1261 L 2142 1218 mt 2192 1268 L 2192 1218 mt 2142 1268 L 2153 1215 mt 2203 1265 L 2203 1215 mt 2153 1265 L 2190 1205 mt 2240 1255 L 2240 1205 mt 2190 1255 L 2153 1215 mt 2203 1265 L 2203 1215 mt 2153 1265 L 2163 1212 mt 2213 1262 L 2213 1212 mt 2163 1262 L 2178 1208 mt 2228 1258 L 2228 1208 mt 2178 1258 L 2180 1208 mt 2230 1258 L 2230 1208 mt 2180 1258 L 2165 1212 mt 2215 1262 L 2215 1212 mt 2165 1262 L 2130 1221 mt 2180 1271 L 2180 1221 mt 2130 1271 L 2171 1210 mt 2221 1260 L 2221 1210 mt 2171 1260 L 2148 1216 mt 2198 1266 L 2198 1216 mt 2148 1266 L 2173 1209 mt 2223 1259 L 2223 1209 mt 2173 1259 L 2135 1220 mt 2185 1270 L 2185 1220 mt 2135 1270 L 2171 1210 mt 2221 1260 L 2221 1210 mt 2171 1260 L 2175 1209 mt 2225 1259 L 2225 1209 mt 2175 1259 L 2170 1210 mt 2220 1260 L 2220 1210 mt 2170 1260 L 2142 1218 mt 2192 1268 L 2192 1218 mt 2142 1268 L 2155 1214 mt 2205 1264 L 2205 1214 mt 2155 1264 L 2171 1210 mt 2221 1260 L 2221 1210 mt 2171 1260 L 2131 1221 mt 2181 1271 L 2181 1221 mt 2131 1271 L 2148 1216 mt 2198 1266 L 2198 1216 mt 2148 1266 L 2141 1218 mt 2191 1268 L 2191 1218 mt 2141 1268 L 2182 1207 mt 2232 1257 L 2232 1207 mt 2182 1257 L 2196 1203 mt 2246 1253 L 2246 1203 mt 2196 1253 L 2176 1209 mt 2226 1259 L 2226 1209 mt 2176 1259 L 2148 1216 mt 2198 1266 L 2198 1216 mt 2148 1266 L 2167 1211 mt 2217 1261 L 2217 1211 mt 2167 1261 L 2158 1213 mt 2208 1263 L 2208 1213 mt 2158 1263 L 2145 1217 mt 2195 1267 L 2195 1217 mt 2145 1267 L 2169 1210 mt 2219 1260 L 2219 1210 mt 2169 1260 L 2164 1212 mt 2214 1262 L 2214 1212 mt 2164 1262 L 2140 1218 mt 2190 1268 L 2190 1218 mt 2140 1268 L 2149 1216 mt 2199 1266 L 2199 1216 mt 2149 1266 L 2157 1214 mt 2207 1264 L 2207 1214 mt 2157 1264 L 2175 1209 mt 2225 1259 L 2225 1209 mt 2175 1259 L 2138 1219 mt 2188 1269 L 2188 1219 mt 2138 1269 L 2150 1215 mt 2200 1265 L 2200 1215 mt 2150 1265 L 2153 1215 mt 2203 1265 L 2203 1215 mt 2153 1265 L 2174 1209 mt 2224 1259 L 2224 1209 mt 2174 1259 L 2201 1202 mt 2251 1252 L 2251 1202 mt 2201 1252 L 2207 1200 mt 2257 1250 L 2257 1200 mt 2207 1250 L 2155 1214 mt 2205 1264 L 2205 1214 mt 2155 1264 L 2206 1200 mt 2256 1250 L 2256 1200 mt 2206 1250 L 2159 1213 mt 2209 1263 L 2209 1213 mt 2159 1263 L 2148 1216 mt 2198 1266 L 2198 1216 mt 2148 1266 L 2173 1209 mt 2223 1259 L 2223 1209 mt 2173 1259 L 2161 1213 mt 2211 1263 L 2211 1213 mt 2161 1263 L 2185 1206 mt 2235 1256 L 2235 1206 mt 2185 1256 L 2175 1209 mt 2225 1259 L 2225 1209 mt 2175 1259 L 2132 1221 mt 2182 1271 L 2182 1221 mt 2132 1271 L 2103 1228 mt 2153 1278 L 2153 1228 mt 2103 1278 L 2173 1209 mt 2223 1259 L 2223 1209 mt 2173 1259 L 2142 1218 mt 2192 1268 L 2192 1218 mt 2142 1268 L 2180 1207 mt 2230 1257 L 2230 1207 mt 2180 1257 L 2193 1204 mt 2243 1254 L 2243 1204 mt 2193 1254 L 2143 1218 mt 2193 1268 L 2193 1218 mt 2143 1268 L 2182 1207 mt 2232 1257 L 2232 1207 mt 2182 1257 L 2165 1211 mt 2215 1261 L 2215 1211 mt 2165 1261 L 2151 1215 mt 2201 1265 L 2201 1215 mt 2151 1265 L 2193 1204 mt 2243 1254 L 2243 1204 mt 2193 1254 L 2152 1215 mt 2202 1265 L 2202 1215 mt 2152 1265 L 2186 1206 mt 2236 1256 L 2236 1206 mt 2186 1256 L 2194 1204 mt 2244 1254 L 2244 1204 mt 2194 1254 L 2121 1223 mt 2171 1273 L 2171 1223 mt 2121 1273 L 2220 1197 mt 2270 1247 L 2270 1197 mt 2220 1247 L 2189 1205 mt 2239 1255 L 2239 1205 mt 2189 1255 L 2183 1207 mt 2233 1257 L 2233 1207 mt 2183 1257 L 2147 1216 mt 2197 1266 L 2197 1216 mt 2147 1266 L 2157 1214 mt 2207 1264 L 2207 1214 mt 2157 1264 L 2135 1220 mt 2185 1270 L 2185 1220 mt 2135 1270 L 2137 1219 mt 2187 1269 L 2187 1219 mt 2137 1269 L 2145 1217 mt 2195 1267 L 2195 1217 mt 2145 1267 L 2174 1209 mt 2224 1259 L 2224 1209 mt 2174 1259 L 2199 1202 mt 2249 1252 L 2249 1202 mt 2199 1252 L 2189 1205 mt 2239 1255 L 2239 1205 mt 2189 1255 L 2153 1215 mt 2203 1265 L 2203 1215 mt 2153 1265 L 2119 1224 mt 2169 1274 L 2169 1224 mt 2119 1274 L 2167 1211 mt 2217 1261 L 2217 1211 mt 2167 1261 L 2148 1216 mt 2198 1266 L 2198 1216 mt 2148 1266 L 2127 1222 mt 2177 1272 L 2177 1222 mt 2127 1272 L 2171 1210 mt 2221 1260 L 2221 1210 mt 2171 1260 L 2174 1209 mt 2224 1259 L 2224 1209 mt 2174 1259 L 2179 1208 mt 2229 1258 L 2229 1208 mt 2179 1258 L 2157 1214 mt 2207 1264 L 2207 1214 mt 2157 1264 L 2154 1215 mt 2204 1265 L 2204 1215 mt 2154 1265 L 2158 1213 mt 2208 1263 L 2208 1213 mt 2158 1263 L 2159 1213 mt 2209 1263 L 2209 1213 mt 2159 1263 L 2167 1211 mt 2217 1261 L 2217 1211 mt 2167 1261 L gs 898 388 2263 1784 MR c np gr 0 sg 2461 2348 mt (x) s 1313 2322 mt (y) s 579 1258 mt -90 rotate (z) s 90 rotate 1645 293 mt (Projected data) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial FA 1184 1178 a(\(a\)) 1345 b(\(b\)) p Fn 651 1252 a(1.) 42 b(K-means:) 24 b(Accurac) o(y) 19 b(=) g(0.4993) 651 1333 y(2.) 42 b(Constrained) 20 b(K-means:) j(Accurac) o(y) d(=) f (0.5701) 651 1415 y(3.) 42 b(K-means) 19 b(+) g(metric:) k(Accurac) o (y) d(=) f(1) 651 1496 y(4.) 42 b(Constrained) 20 b(K-means) f(+) g (metric:) k(Accurac) o(y) d(=) e(1) 450 1631 y(Figure) 28 b(5:) 43 b(\(a\)) 28 b(Original) g(dataset) h(\(b\)) g(Data) f(scaled) h (according) h(to) e(learned) h(metric.) 52 b(\() p Fm(A) p Ff 2900 1640 a(diagonal) p Fn 3128 1631 a(') l(s) 28 b(result) g(is) 450 1714 y(sho) n(wn,) 20 b(b) o(ut) p Fm 18 w(A) p Ff 851 1723 a(full) p Fn 962 1714 a(ga) o(v) o(e) e (visually) i(indistinguishable) g(results.\)) 544 4218 y @beginspecial 78 @llx 215 @lly 543 @urx 597 @ury 3375 @rwi @setspecial %%BeginDocument: figure_new/twoRatio.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /root/work/slide_MDL/MDL_02Jan23/code_exp2final/twoRatio.eps %%CreationDate: 12/01/2000 03:42:07 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 78 215 543 597 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinecap 1 cap 3 1 roll 2 copy mt lineto stroke cap PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 78 215 543 597 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 731 177 5579 4582 MR c np 91 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 1161 1472 0 0 -1161 899 1549 4 MP PP -1472 0 0 1161 1472 0 0 -1161 899 1549 5 MP stroke 4 w DO SO 6 w 0 sg 899 1549 mt 2371 1549 L 899 388 mt 2371 388 L 899 1549 mt 899 388 L 2371 1549 mt 2371 388 L 899 1549 mt 2371 1549 L 899 1549 mt 899 388 L 1267 1549 mt 1267 1534 L 1267 389 mt 1267 403 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 96 FMSR 1103 1672 mt (Kc=447) s 2003 1549 mt 2003 1534 L 2003 389 mt 2003 403 L 1839 1672 mt (Kc=354) s 899 1549 mt 913 1549 L 2371 1549 mt 2356 1549 L 811 1584 mt (0) s 899 1338 mt 913 1338 L 2371 1338 mt 2356 1338 L 731 1373 mt (0.2) s 899 1127 mt 913 1127 L 2371 1127 mt 2356 1127 L 731 1162 mt (0.4) s 899 916 mt 913 916 L 2371 916 mt 2356 916 L 731 951 mt (0.6) s 899 705 mt 913 705 L 2371 705 mt 2356 705 L 731 740 mt (0.8) s 899 494 mt 913 494 L 2371 494 mt 2356 494 L 811 529 mt (1) s 899 1549 mt 2371 1549 L 899 388 mt 2371 388 L 899 1549 mt 899 388 L 2371 1549 mt 2371 388 L gs 899 389 1473 1161 MR c np /c8 { 0.000000 0.000000 0.562500 sr} bdef c8 0 640 98 0 0 -640 972 1549 4 MP PP 0 sg -98 0 0 640 98 0 0 -640 972 1549 5 MP stroke c8 0 640 98 0 0 -640 1708 1549 4 MP PP 0 sg -98 0 0 640 98 0 0 -640 1708 1549 5 MP stroke /c9 { 0.000000 0.312500 1.000000 sr} bdef c9 0 672 98 0 0 -672 1070 1549 4 MP PP 0 sg -98 0 0 672 98 0 0 -672 1070 1549 5 MP stroke c9 0 671 98 0 0 -671 1806 1549 4 MP PP 0 sg -98 0 0 671 98 0 0 -671 1806 1549 5 MP stroke /c10 { 0.125000 1.000000 0.937500 sr} bdef c10 0 621 99 0 0 -621 1168 1549 4 MP PP 0 sg -99 0 0 621 99 0 0 -621 1168 1549 5 MP stroke c10 0 620 99 0 0 -620 1904 1549 4 MP PP 0 sg -99 0 0 620 99 0 0 -620 1904 1549 5 MP stroke /c11 { 0.937500 1.000000 0.125000 sr} bdef c11 0 644 98 0 0 -644 1267 1549 4 MP PP 0 sg -98 0 0 644 98 0 0 -644 1267 1549 5 MP stroke c11 0 672 98 0 0 -672 2003 1549 4 MP PP 0 sg -98 0 0 672 98 0 0 -672 2003 1549 5 MP stroke /c12 { 1.000000 0.312500 0.000000 sr} bdef c12 0 705 98 0 0 -705 1365 1549 4 MP PP 0 sg -98 0 0 705 98 0 0 -705 1365 1549 5 MP stroke c12 0 770 98 0 0 -770 2101 1549 4 MP PP 0 sg -98 0 0 770 98 0 0 -770 2101 1549 5 MP stroke /c13 { 0.562500 0.000000 0.000000 sr} bdef c13 0 628 98 0 0 -628 1463 1549 4 MP PP 0 sg -98 0 0 628 98 0 0 -628 1463 1549 5 MP stroke c13 0 665 98 0 0 -665 2199 1549 4 MP PP 0 sg -98 0 0 665 98 0 0 -665 2199 1549 5 MP stroke 0 75 1119 840 2 MP stroke 23 0 1108 840 2 MP stroke 23 0 1108 915 2 MP stroke 0 36 1217 910 2 MP stroke 23 0 1206 910 2 MP stroke 23 0 1206 946 2 MP stroke 0 15 1316 897 2 MP stroke 23 0 1304 897 2 MP stroke 23 0 1304 912 2 MP stroke 0 117 1414 786 2 MP stroke 23 0 1402 786 2 MP stroke 23 0 1402 903 2 MP stroke 0 35 1512 904 2 MP stroke 22 0 1501 904 2 MP stroke 22 0 1501 939 2 MP stroke 0 137 1855 809 2 MP stroke 23 0 1844 809 2 MP stroke 23 0 1844 946 2 MP stroke 0 45 1953 906 2 MP stroke 23 0 1942 906 2 MP stroke 23 0 1942 951 2 MP stroke 0 20 2052 867 2 MP stroke 23 0 2040 867 2 MP stroke 23 0 2040 887 2 MP stroke 0 202 2150 678 2 MP stroke 23 0 2138 678 2 MP stroke 23 0 2138 880 2 MP stroke 0 46 2248 861 2 MP stroke 22 0 2237 861 2 MP stroke 22 0 2237 907 2 MP stroke gr 24 W 1119 877 PD 24 W 1217 928 PD 24 W 1316 905 PD 24 W 1414 844 PD 24 W 1512 921 PD 24 W 1855 878 PD 24 W 1953 929 PD 24 W 2052 877 PD 24 W 2150 779 PD 24 W 2248 884 PD gs 899 389 1473 1161 MR c np gr 871 314 mt (Boston housing \(N=506, C=3, d=13\)) s 1 sg 0 1161 1471 0 0 -1161 2844 1549 4 MP PP -1471 0 0 1161 1471 0 0 -1161 2844 1549 5 MP stroke 4 w DO SO 6 w 0 sg 2844 1549 mt 4315 1549 L 2844 388 mt 4315 388 L 2844 1549 mt 2844 388 L 4315 1549 mt 4315 388 L 2844 1549 mt 4315 1549 L 2844 1549 mt 2844 388 L 3211 1549 mt 3211 1534 L 3211 389 mt 3211 403 L 3047 1672 mt (Kc=269) s 3947 1549 mt 3947 1534 L 3947 389 mt 3947 403 L 3783 1672 mt (Kc=187) s 2844 1549 mt 2858 1549 L 4315 1549 mt 4300 1549 L 2756 1584 mt (0) s 2844 1338 mt 2858 1338 L 4315 1338 mt 4300 1338 L 2676 1373 mt (0.2) s 2844 1127 mt 2858 1127 L 4315 1127 mt 4300 1127 L 2676 1162 mt (0.4) s 2844 916 mt 2858 916 L 4315 916 mt 4300 916 L 2676 951 mt (0.6) s 2844 705 mt 2858 705 L 4315 705 mt 4300 705 L 2676 740 mt (0.8) s 2844 494 mt 2858 494 L 4315 494 mt 4300 494 L 2756 529 mt (1) s 2844 1549 mt 4315 1549 L 2844 388 mt 4315 388 L 2844 1549 mt 2844 388 L 4315 1549 mt 4315 388 L gs 2844 389 1472 1161 MR c np c8 0 619 98 0 0 -619 2917 1549 4 MP PP 0 sg -98 0 0 619 98 0 0 -619 2917 1549 5 MP stroke c8 0 619 98 0 0 -619 3653 1549 4 MP PP 0 sg -98 0 0 619 98 0 0 -619 3653 1549 5 MP stroke c9 0 690 98 0 0 -690 3015 1549 4 MP PP 0 sg -98 0 0 690 98 0 0 -690 3015 1549 5 MP stroke c9 0 722 98 0 0 -722 3751 1549 4 MP PP 0 sg -98 0 0 722 98 0 0 -722 3751 1549 5 MP stroke c10 0 764 98 0 0 -764 3113 1549 4 MP PP 0 sg -98 0 0 764 98 0 0 -764 3113 1549 5 MP stroke c10 0 772 98 0 0 -772 3849 1549 4 MP PP 0 sg -98 0 0 772 98 0 0 -772 3849 1549 5 MP stroke c11 0 649 98 0 0 -649 3211 1549 4 MP PP 0 sg -98 0 0 649 98 0 0 -649 3211 1549 5 MP stroke c11 0 747 98 0 0 -747 3947 1549 4 MP PP 0 sg -98 0 0 747 98 0 0 -747 3947 1549 5 MP stroke c12 0 711 98 0 0 -711 3309 1549 4 MP PP 0 sg -98 0 0 711 98 0 0 -711 3309 1549 5 MP stroke c12 0 795 98 0 0 -795 4045 1549 4 MP PP 0 sg -98 0 0 795 98 0 0 -795 4045 1549 5 MP stroke c13 0 762 98 0 0 -762 3407 1549 4 MP PP 0 sg -98 0 0 762 98 0 0 -762 3407 1549 5 MP stroke c13 0 824 98 0 0 -824 4143 1549 4 MP PP 0 sg -98 0 0 824 98 0 0 -824 4143 1549 5 MP stroke 0 150 3064 784 2 MP stroke 22 0 3053 784 2 MP stroke 22 0 3053 934 2 MP stroke 0 98 3162 736 2 MP stroke 22 0 3151 736 2 MP stroke 22 0 3151 834 2 MP stroke 0 36 3260 882 2 MP stroke 23 0 3249 882 2 MP stroke 23 0 3249 918 2 MP stroke 0 167 3358 755 2 MP stroke 23 0 3347 755 2 MP stroke 23 0 3347 922 2 MP stroke 0 102 3456 736 2 MP stroke 23 0 3445 736 2 MP stroke 23 0 3445 838 2 MP stroke 0 136 3800 759 2 MP stroke 23 0 3788 759 2 MP stroke 23 0 3788 895 2 MP stroke 0 98 3898 728 2 MP stroke 23 0 3886 728 2 MP stroke 23 0 3886 826 2 MP stroke 0 47 3996 778 2 MP stroke 22 0 3985 778 2 MP stroke 22 0 3985 825 2 MP stroke 0 107 4094 701 2 MP stroke 22 0 4083 701 2 MP stroke 22 0 4083 808 2 MP stroke 0 97 4192 677 2 MP stroke 22 0 4181 677 2 MP stroke 22 0 4181 774 2 MP stroke gr 24 W 3064 859 PD 24 W 3162 785 PD 24 W 3260 900 PD 24 W 3358 838 PD 24 W 3456 787 PD 24 W 3800 827 PD 24 W 3898 777 PD 24 W 3996 802 PD 24 W 4094 754 PD 24 W 4192 725 PD gs 2844 389 1472 1161 MR c np gr 2909 314 mt (ionosphere \(N=351, C=2, d=34\)) s 1 sg 0 1161 1472 0 0 -1161 4788 1549 4 MP PP -1472 0 0 1161 1472 0 0 -1161 4788 1549 5 MP stroke 4 w DO SO 6 w 0 sg 4788 1549 mt 6260 1549 L 4788 388 mt 6260 388 L 4788 1549 mt 4788 388 L 6260 1549 mt 6260 388 L 4788 1549 mt 6260 1549 L 4788 1549 mt 4788 388 L 5156 1549 mt 5156 1534 L 5156 389 mt 5156 403 L 4992 1672 mt (Kc=133) s 5892 1549 mt 5892 1534 L 5892 389 mt 5892 403 L 5728 1672 mt (Kc=116) s 4788 1549 mt 4802 1549 L 6260 1549 mt 6245 1549 L 4700 1584 mt (0) s 4788 1338 mt 4802 1338 L 6260 1338 mt 6245 1338 L 4620 1373 mt (0.2) s 4788 1127 mt 4802 1127 L 6260 1127 mt 6245 1127 L 4620 1162 mt (0.4) s 4788 916 mt 4802 916 L 6260 916 mt 6245 916 L 4620 951 mt (0.6) s 4788 705 mt 4802 705 L 6260 705 mt 6245 705 L 4620 740 mt (0.8) s 4788 494 mt 4802 494 L 6260 494 mt 6245 494 L 4700 529 mt (1) s 4788 1549 mt 6260 1549 L 4788 388 mt 6260 388 L 4788 1549 mt 4788 388 L 6260 1549 mt 6260 388 L gs 4788 389 1473 1161 MR c np c8 0 917 98 0 0 -917 4861 1549 4 MP PP 0 sg -98 0 0 917 98 0 0 -917 4861 1549 5 MP stroke c8 0 917 98 0 0 -917 5597 1549 4 MP PP 0 sg -98 0 0 917 98 0 0 -917 5597 1549 5 MP stroke c9 0 990 98 0 0 -990 4959 1549 4 MP PP 0 sg -98 0 0 990 98 0 0 -990 4959 1549 5 MP stroke c9 0 989 98 0 0 -989 5695 1549 4 MP PP 0 sg -98 0 0 989 98 0 0 -989 5695 1549 5 MP stroke c10 0 1013 99 0 0 -1013 5057 1549 4 MP PP 0 sg -99 0 0 1013 99 0 0 -1013 5057 1549 5 MP stroke c10 0 1018 99 0 0 -1018 5793 1549 4 MP PP 0 sg -99 0 0 1018 99 0 0 -1018 5793 1549 5 MP stroke c11 0 937 98 0 0 -937 5156 1549 4 MP PP 0 sg -98 0 0 937 98 0 0 -937 5156 1549 5 MP stroke c11 0 963 98 0 0 -963 5892 1549 4 MP PP 0 sg -98 0 0 963 98 0 0 -963 5892 1549 5 MP stroke c12 0 998 98 0 0 -998 5254 1549 4 MP PP 0 sg -98 0 0 998 98 0 0 -998 5254 1549 5 MP stroke c12 0 1015 98 0 0 -1015 5990 1549 4 MP PP 0 sg -98 0 0 1015 98 0 0 -1015 5990 1549 5 MP stroke c13 0 1020 98 0 0 -1020 5352 1549 4 MP PP 0 sg -98 0 0 1020 98 0 0 -1020 5352 1549 5 MP stroke c13 0 1029 98 0 0 -1029 6088 1549 4 MP PP 0 sg -98 0 0 1029 98 0 0 -1029 6088 1549 5 MP stroke 0 13 5008 552 2 MP stroke 23 0 4997 552 2 MP stroke 23 0 4997 565 2 MP stroke 0 37 5106 518 2 MP stroke 23 0 5095 518 2 MP stroke 23 0 5095 555 2 MP stroke 0 25 5205 600 2 MP stroke 23 0 5193 600 2 MP stroke 23 0 5193 625 2 MP stroke 0 26 5303 538 2 MP stroke 23 0 5291 538 2 MP stroke 23 0 5291 564 2 MP stroke 0 31 5401 513 2 MP stroke 22 0 5390 513 2 MP stroke 22 0 5390 544 2 MP stroke 0 17 5744 552 2 MP stroke 23 0 5733 552 2 MP stroke 23 0 5733 569 2 MP stroke 0 19 5842 521 2 MP stroke 23 0 5831 521 2 MP stroke 23 0 5831 540 2 MP stroke 0 43 5941 564 2 MP stroke 23 0 5929 564 2 MP stroke 23 0 5929 607 2 MP stroke 0 37 6039 516 2 MP stroke 23 0 6027 516 2 MP stroke 23 0 6027 553 2 MP stroke 0 33 6137 503 2 MP stroke 22 0 6126 503 2 MP stroke 22 0 6126 536 2 MP stroke gr 24 W 5008 559 PD 24 W 5106 536 PD 24 W 5205 612 PD 24 W 5303 551 PD 24 W 5401 529 PD 24 W 5744 560 PD 24 W 5842 531 PD 24 W 5941 586 PD 24 W 6039 534 PD 24 W 6137 520 PD gs 4788 389 1473 1161 MR c np gr 4912 314 mt (Iris plants \(N=150, C=3, d=4\)) s 1 sg 0 1160 1472 0 0 -1160 899 3081 4 MP PP -1472 0 0 1160 1472 0 0 -1160 899 3081 5 MP stroke 4 w DO SO 6 w 0 sg 899 3081 mt 2371 3081 L 899 1921 mt 2371 1921 L 899 3081 mt 899 1921 L 2371 3081 mt 2371 1921 L 899 3081 mt 2371 3081 L 899 3081 mt 899 1921 L 1267 3081 mt 1267 3066 L 1267 1921 mt 1267 1935 L 1103 3204 mt (Kc=153) s 2003 3081 mt 2003 3066 L 2003 1921 mt 2003 1935 L 1839 3204 mt (Kc=127) s 899 3081 mt 913 3081 L 2371 3081 mt 2356 3081 L 811 3116 mt (0) s 899 2870 mt 913 2870 L 2371 2870 mt 2356 2870 L 731 2905 mt (0.2) s 899 2659 mt 913 2659 L 2371 2659 mt 2356 2659 L 731 2694 mt (0.4) s 899 2448 mt 913 2448 L 2371 2448 mt 2356 2448 L 731 2483 mt (0.6) s 899 2237 mt 913 2237 L 2371 2237 mt 2356 2237 L 731 2272 mt (0.8) s 899 2026 mt 913 2026 L 2371 2026 mt 2356 2026 L 811 2061 mt (1) s 899 3081 mt 2371 3081 L 899 1921 mt 2371 1921 L 899 3081 mt 899 1921 L 2371 3081 mt 2371 1921 L gs 899 1921 1473 1161 MR c np c8 0 587 98 0 0 -587 972 3081 4 MP PP 0 sg -98 0 0 587 98 0 0 -587 972 3081 5 MP stroke c8 0 587 98 0 0 -587 1708 3081 4 MP PP 0 sg -98 0 0 587 98 0 0 -587 1708 3081 5 MP stroke c9 0 933 98 0 0 -933 1070 3081 4 MP PP 0 sg -98 0 0 933 98 0 0 -933 1070 3081 5 MP stroke c9 0 947 98 0 0 -947 1806 3081 4 MP PP 0 sg -98 0 0 947 98 0 0 -947 1806 3081 5 MP stroke c10 0 924 99 0 0 -924 1168 3081 4 MP PP 0 sg -99 0 0 924 99 0 0 -924 1168 3081 5 MP stroke c10 0 947 99 0 0 -947 1904 3081 4 MP PP 0 sg -99 0 0 947 99 0 0 -947 1904 3081 5 MP stroke c11 0 600 98 0 0 -600 1267 3081 4 MP PP 0 sg -98 0 0 600 98 0 0 -600 1267 3081 5 MP stroke c11 0 620 98 0 0 -620 2003 3081 4 MP PP 0 sg -98 0 0 620 98 0 0 -620 2003 3081 5 MP stroke c12 0 958 98 0 0 -958 1365 3081 4 MP PP 0 sg -98 0 0 958 98 0 0 -958 1365 3081 5 MP stroke c12 0 990 98 0 0 -990 2101 3081 4 MP PP 0 sg -98 0 0 990 98 0 0 -990 2101 3081 5 MP stroke c13 0 945 98 0 0 -945 1463 3081 4 MP PP 0 sg -98 0 0 945 98 0 0 -945 1463 3081 5 MP stroke c13 0 978 98 0 0 -978 2199 3081 4 MP PP 0 sg -98 0 0 978 98 0 0 -978 2199 3081 5 MP stroke 0 58 1119 2119 2 MP stroke 23 0 1108 2119 2 MP stroke 23 0 1108 2177 2 MP stroke 0 111 1217 2101 2 MP stroke 23 0 1206 2101 2 MP stroke 23 0 1206 2212 2 MP stroke 0 24 1316 2469 2 MP stroke 23 0 1304 2469 2 MP stroke 23 0 1304 2493 2 MP stroke 0 49 1414 2098 2 MP stroke 23 0 1402 2098 2 MP stroke 23 0 1402 2147 2 MP stroke 0 116 1512 2078 2 MP stroke 22 0 1501 2078 2 MP stroke 22 0 1501 2194 2 MP stroke 0 42 1855 2113 2 MP stroke 23 0 1844 2113 2 MP stroke 23 0 1844 2155 2 MP stroke 0 51 1953 2108 2 MP stroke 23 0 1942 2108 2 MP stroke 23 0 1942 2159 2 MP stroke 0 34 2052 2444 2 MP stroke 23 0 2040 2444 2 MP stroke 23 0 2040 2478 2 MP stroke 0 32 2150 2075 2 MP stroke 23 0 2138 2075 2 MP stroke 23 0 2138 2107 2 MP stroke 0 42 2248 2082 2 MP stroke 22 0 2237 2082 2 MP stroke 22 0 2237 2124 2 MP stroke gr 24 W 1119 2148 PD 24 W 1217 2157 PD 24 W 1316 2481 PD 24 W 1414 2123 PD 24 W 1512 2136 PD 24 W 1855 2134 PD 24 W 1953 2134 PD 24 W 2052 2461 PD 24 W 2150 2091 PD 24 W 2248 2103 PD gs 899 1921 1473 1161 MR c np gr 1101 1846 mt (wine \(N=168, C=3, d=12\)) s 1 sg 0 1160 1471 0 0 -1160 2844 3081 4 MP PP -1471 0 0 1160 1471 0 0 -1160 2844 3081 5 MP stroke 4 w DO SO 6 w 0 sg 2844 3081 mt 4315 3081 L 2844 1921 mt 4315 1921 L 2844 3081 mt 2844 1921 L 4315 3081 mt 4315 1921 L 2844 3081 mt 4315 3081 L 2844 3081 mt 2844 1921 L 3211 3081 mt 3211 3066 L 3211 1921 mt 3211 1935 L 3047 3204 mt (Kc=548) s 3947 3081 mt 3947 3066 L 3947 1921 mt 3947 1935 L 3783 3204 mt (Kc=400) s 2844 3081 mt 2858 3081 L 4315 3081 mt 4300 3081 L 2756 3116 mt (0) s 2844 2870 mt 2858 2870 L 4315 2870 mt 4300 2870 L 2676 2905 mt (0.2) s 2844 2659 mt 2858 2659 L 4315 2659 mt 4300 2659 L 2676 2694 mt (0.4) s 2844 2448 mt 2858 2448 L 4315 2448 mt 4300 2448 L 2676 2483 mt (0.6) s 2844 2237 mt 2858 2237 L 4315 2237 mt 4300 2237 L 2676 2272 mt (0.8) s 2844 2026 mt 2858 2026 L 4315 2026 mt 4300 2026 L 2756 2061 mt (1) s 2844 3081 mt 4315 3081 L 2844 1921 mt 4315 1921 L 2844 3081 mt 2844 1921 L 4315 3081 mt 4315 1921 L gs 2844 1921 1472 1161 MR c np c8 0 607 98 0 0 -607 2917 3081 4 MP PP 0 sg -98 0 0 607 98 0 0 -607 2917 3081 5 MP stroke c8 0 607 98 0 0 -607 3653 3081 4 MP PP 0 sg -98 0 0 607 98 0 0 -607 3653 3081 5 MP stroke c9 0 595 98 0 0 -595 3015 3081 4 MP PP 0 sg -98 0 0 595 98 0 0 -595 3015 3081 5 MP stroke c9 0 601 98 0 0 -601 3751 3081 4 MP PP 0 sg -98 0 0 601 98 0 0 -601 3751 3081 5 MP stroke c10 0 698 98 0 0 -698 3113 3081 4 MP PP 0 sg -98 0 0 698 98 0 0 -698 3113 3081 5 MP stroke c10 0 726 98 0 0 -726 3849 3081 4 MP PP 0 sg -98 0 0 726 98 0 0 -726 3849 3081 5 MP stroke c11 0 667 98 0 0 -667 3211 3081 4 MP PP 0 sg -98 0 0 667 98 0 0 -667 3211 3081 5 MP stroke c11 0 803 98 0 0 -803 3947 3081 4 MP PP 0 sg -98 0 0 803 98 0 0 -803 3947 3081 5 MP stroke c12 0 660 98 0 0 -660 3309 3081 4 MP PP 0 sg -98 0 0 660 98 0 0 -660 3309 3081 5 MP stroke c12 0 806 98 0 0 -806 4045 3081 4 MP PP 0 sg -98 0 0 806 98 0 0 -806 4045 3081 5 MP stroke c13 0 732 98 0 0 -732 3407 3081 4 MP PP 0 sg -98 0 0 732 98 0 0 -732 3407 3081 5 MP stroke c13 0 825 98 0 0 -825 4143 3081 4 MP PP 0 sg -98 0 0 825 98 0 0 -825 4143 3081 5 MP stroke 0 7 3064 2482 2 MP stroke 22 0 3053 2482 2 MP stroke 22 0 3053 2489 2 MP stroke 0 23 3162 2372 2 MP stroke 22 0 3151 2372 2 MP stroke 22 0 3151 2395 2 MP stroke 0 45 3260 2392 2 MP stroke 23 0 3249 2392 2 MP stroke 23 0 3249 2437 2 MP stroke 0 64 3358 2389 2 MP stroke 23 0 3347 2389 2 MP stroke 23 0 3347 2453 2 MP stroke 0 24 3456 2337 2 MP stroke 23 0 3445 2337 2 MP stroke 23 0 3445 2361 2 MP stroke 0 10 3800 2475 2 MP stroke 23 0 3788 2475 2 MP stroke 23 0 3788 2485 2 MP stroke 0 18 3898 2346 2 MP stroke 23 0 3886 2346 2 MP stroke 23 0 3886 2364 2 MP stroke 0 59 3996 2249 2 MP stroke 22 0 3985 2249 2 MP stroke 22 0 3985 2308 2 MP stroke 0 67 4094 2242 2 MP stroke 22 0 4083 2242 2 MP stroke 22 0 4083 2309 2 MP stroke 0 49 4192 2232 2 MP stroke 22 0 4181 2232 2 MP stroke 22 0 4181 2281 2 MP stroke gr 24 W 3064 2486 PD 24 W 3162 2383 PD 24 W 3260 2414 PD 24 W 3358 2421 PD 24 W 3456 2349 PD 24 W 3800 2480 PD 24 W 3898 2355 PD 24 W 3996 2278 PD 24 W 4094 2275 PD 24 W 4192 2256 PD gs 2844 1921 1472 1161 MR c np gr 3004 1846 mt (balance \(N=625, C=3, d=4\)) s 1 sg 0 1160 1472 0 0 -1160 4788 3081 4 MP PP -1472 0 0 1160 1472 0 0 -1160 4788 3081 5 MP stroke 4 w DO SO 6 w 0 sg 4788 3081 mt 6260 3081 L 4788 1921 mt 6260 1921 L 4788 3081 mt 4788 1921 L 6260 3081 mt 6260 1921 L 4788 3081 mt 6260 3081 L 4788 3081 mt 4788 1921 L 5156 3081 mt 5156 3066 L 5156 1921 mt 5156 1935 L 4992 3204 mt (Kc=482) s 5892 3081 mt 5892 3066 L 5892 1921 mt 5892 1935 L 5728 3204 mt (Kc=358) s 4788 3081 mt 4802 3081 L 6260 3081 mt 6245 3081 L 4700 3116 mt (0) s 4788 2870 mt 4802 2870 L 6260 2870 mt 6245 2870 L 4620 2905 mt (0.2) s 4788 2659 mt 4802 2659 L 6260 2659 mt 6245 2659 L 4620 2694 mt (0.4) s 4788 2448 mt 4802 2448 L 6260 2448 mt 6245 2448 L 4620 2483 mt (0.6) s 4788 2237 mt 4802 2237 L 6260 2237 mt 6245 2237 L 4620 2272 mt (0.8) s 4788 2026 mt 4802 2026 L 6260 2026 mt 6245 2026 L 4700 2061 mt (1) s 4788 3081 mt 6260 3081 L 4788 1921 mt 6260 1921 L 4788 3081 mt 4788 1921 L 6260 3081 mt 6260 1921 L gs 4788 1921 1473 1161 MR c np c8 0 783 98 0 0 -783 4861 3081 4 MP PP 0 sg -98 0 0 783 98 0 0 -783 4861 3081 5 MP stroke c8 0 783 98 0 0 -783 5597 3081 4 MP PP 0 sg -98 0 0 783 98 0 0 -783 5597 3081 5 MP stroke c9 0 800 98 0 0 -800 4959 3081 4 MP PP 0 sg -98 0 0 800 98 0 0 -800 4959 3081 5 MP stroke c9 0 802 98 0 0 -802 5695 3081 4 MP PP 0 sg -98 0 0 802 98 0 0 -802 5695 3081 5 MP stroke c10 0 759 99 0 0 -759 5057 3081 4 MP PP 0 sg -99 0 0 759 99 0 0 -759 5057 3081 5 MP stroke c10 0 775 99 0 0 -775 5793 3081 4 MP PP 0 sg -99 0 0 775 99 0 0 -775 5793 3081 5 MP stroke c11 0 798 98 0 0 -798 5156 3081 4 MP PP 0 sg -98 0 0 798 98 0 0 -798 5156 3081 5 MP stroke c11 0 832 98 0 0 -832 5892 3081 4 MP PP 0 sg -98 0 0 832 98 0 0 -832 5892 3081 5 MP stroke c12 0 826 98 0 0 -826 5254 3081 4 MP PP 0 sg -98 0 0 826 98 0 0 -826 5254 3081 5 MP stroke c12 0 867 98 0 0 -867 5990 3081 4 MP PP 0 sg -98 0 0 867 98 0 0 -867 5990 3081 5 MP stroke c13 0 782 98 0 0 -782 5352 3081 4 MP PP 0 sg -98 0 0 782 98 0 0 -782 5352 3081 5 MP stroke c13 0 861 98 0 0 -861 6088 3081 4 MP PP 0 sg -98 0 0 861 98 0 0 -861 6088 3081 5 MP stroke 0 149 5008 2207 2 MP stroke 23 0 4997 2207 2 MP stroke 23 0 4997 2356 2 MP stroke 0 98 5106 2273 2 MP stroke 23 0 5095 2273 2 MP stroke 23 0 5095 2371 2 MP stroke 0 22 5205 2272 2 MP stroke 23 0 5193 2272 2 MP stroke 23 0 5193 2294 2 MP stroke 0 164 5303 2173 2 MP stroke 23 0 5291 2173 2 MP stroke 23 0 5291 2337 2 MP stroke 0 109 5401 2244 2 MP stroke 22 0 5390 2244 2 MP stroke 22 0 5390 2353 2 MP stroke 0 102 5744 2228 2 MP stroke 23 0 5733 2228 2 MP stroke 23 0 5733 2330 2 MP stroke 0 73 5842 2269 2 MP stroke 23 0 5831 2269 2 MP stroke 23 0 5831 2342 2 MP stroke 0 73 5941 2212 2 MP stroke 23 0 5929 2212 2 MP stroke 23 0 5929 2285 2 MP stroke 0 143 6039 2142 2 MP stroke 23 0 6027 2142 2 MP stroke 23 0 6027 2285 2 MP stroke 0 86 6137 2177 2 MP stroke 22 0 6126 2177 2 MP stroke 22 0 6126 2263 2 MP stroke gr 24 W 5008 2281 PD 24 W 5106 2322 PD 24 W 5205 2283 PD 24 W 5303 2255 PD 24 W 5401 2299 PD 24 W 5744 2279 PD 24 W 5842 2306 PD 24 W 5941 2249 PD 24 W 6039 2214 PD 24 W 6137 2220 PD gs 4788 1921 1473 1161 MR c np gr 4800 1846 mt (breast cancer \(N=569, C=2, d=30\)) s 1 sg 0 1160 1472 0 0 -1160 899 4614 4 MP PP -1472 0 0 1160 1472 0 0 -1160 899 4614 5 MP stroke 4 w DO SO 6 w 0 sg 899 4614 mt 2371 4614 L 899 3454 mt 2371 3454 L 899 4614 mt 899 3454 L 2371 4614 mt 2371 3454 L 899 4614 mt 2371 4614 L 899 4614 mt 899 3454 L 1267 4614 mt 1267 4599 L 1267 3454 mt 1267 3468 L 1130 4737 mt (Kc=41) s 2003 4614 mt 2003 4599 L 2003 3454 mt 2003 3468 L 1866 4737 mt (Kc=34) s 899 4614 mt 913 4614 L 2371 4614 mt 2356 4614 L 811 4649 mt (0) s 899 4403 mt 913 4403 L 2371 4403 mt 2356 4403 L 731 4438 mt (0.2) s 899 4192 mt 913 4192 L 2371 4192 mt 2356 4192 L 731 4227 mt (0.4) s 899 3981 mt 913 3981 L 2371 3981 mt 2356 3981 L 731 4016 mt (0.6) s 899 3770 mt 913 3770 L 2371 3770 mt 2356 3770 L 731 3805 mt (0.8) s 899 3559 mt 913 3559 L 2371 3559 mt 2356 3559 L 811 3594 mt (1) s 899 4614 mt 2371 4614 L 899 3454 mt 2371 3454 L 899 4614 mt 899 3454 L 2371 4614 mt 2371 3454 L gs 899 3454 1473 1161 MR c np c8 0 811 98 0 0 -811 972 4614 4 MP PP 0 sg -98 0 0 811 98 0 0 -811 972 4614 5 MP stroke c8 0 811 98 0 0 -811 1708 4614 4 MP PP 0 sg -98 0 0 811 98 0 0 -811 1708 4614 5 MP stroke c9 0 1055 98 0 0 -1055 1070 4614 4 MP PP 0 sg -98 0 0 1055 98 0 0 -1055 1070 4614 5 MP stroke c9 0 1055 98 0 0 -1055 1806 4614 4 MP PP 0 sg -98 0 0 1055 98 0 0 -1055 1806 4614 5 MP stroke c10 0 1045 99 0 0 -1045 1168 4614 4 MP PP 0 sg -99 0 0 1045 99 0 0 -1045 1168 4614 5 MP stroke c10 0 1052 99 0 0 -1052 1904 4614 4 MP PP 0 sg -99 0 0 1052 99 0 0 -1052 1904 4614 5 MP stroke c11 0 842 98 0 0 -842 1267 4614 4 MP PP 0 sg -98 0 0 842 98 0 0 -842 1267 4614 5 MP stroke c11 0 963 98 0 0 -963 2003 4614 4 MP PP 0 sg -98 0 0 963 98 0 0 -963 2003 4614 5 MP stroke c12 0 1055 98 0 0 -1055 1365 4614 4 MP PP 0 sg -98 0 0 1055 98 0 0 -1055 1365 4614 5 MP stroke c12 0 1055 98 0 0 -1055 2101 4614 4 MP PP 0 sg -98 0 0 1055 98 0 0 -1055 2101 4614 5 MP stroke c13 0 1055 98 0 0 -1055 1463 4614 4 MP PP 0 sg -98 0 0 1055 98 0 0 -1055 1463 4614 5 MP stroke c13 0 1055 98 0 0 -1055 2199 4614 4 MP PP 0 sg -98 0 0 1055 98 0 0 -1055 2199 4614 5 MP stroke 1119 3559 PD 23 0 1108 3559 2 MP stroke 23 0 1108 3559 2 MP stroke 0 66 1217 3536 2 MP stroke 23 0 1206 3536 2 MP stroke 23 0 1206 3602 2 MP stroke 0 93 1316 3726 2 MP stroke 23 0 1304 3726 2 MP stroke 23 0 1304 3819 2 MP stroke 1414 3559 PD 23 0 1402 3559 2 MP stroke 23 0 1402 3559 2 MP stroke 1512 3559 PD 22 0 1501 3559 2 MP stroke 22 0 1501 3559 2 MP stroke 1855 3559 PD 23 0 1844 3559 2 MP stroke 23 0 1844 3559 2 MP stroke 0 18 1953 3553 2 MP stroke 23 0 1942 3553 2 MP stroke 23 0 1942 3571 2 MP stroke 0 195 2052 3553 2 MP stroke 23 0 2040 3553 2 MP stroke 23 0 2040 3748 2 MP stroke 2150 3559 PD 23 0 2138 3559 2 MP stroke 23 0 2138 3559 2 MP stroke 2248 3559 PD 22 0 2237 3559 2 MP stroke 22 0 2237 3559 2 MP stroke gr 24 W 1119 3559 PD 24 W 1217 3569 PD 24 W 1316 3772 PD 24 W 1414 3559 PD 24 W 1512 3559 PD 24 W 1855 3559 PD 24 W 1953 3562 PD 24 W 2052 3651 PD 24 W 2150 3559 PD 24 W 2248 3559 PD gs 899 3454 1473 1161 MR c np gr 1032 3379 mt (soy bean \(N=47, C=4, d=35\)) s 1 sg 0 1160 1471 0 0 -1160 2844 4614 4 MP PP -1471 0 0 1160 1471 0 0 -1160 2844 4614 5 MP stroke 4 w DO SO 6 w 0 sg 2844 4614 mt 4315 4614 L 2844 3454 mt 4315 3454 L 2844 4614 mt 2844 3454 L 4315 4614 mt 4315 3454 L 2844 4614 mt 4315 4614 L 2844 4614 mt 2844 3454 L 3211 4614 mt 3211 4599 L 3211 3454 mt 3211 3468 L 3074 4737 mt (Kc=92) s 3947 4614 mt 3947 4599 L 3947 3454 mt 3947 3468 L 3810 4737 mt (Kc=61) s 2844 4614 mt 2858 4614 L 4315 4614 mt 4300 4614 L 2756 4649 mt (0) s 2844 4403 mt 2858 4403 L 4315 4403 mt 4300 4403 L 2676 4438 mt (0.2) s 2844 4192 mt 2858 4192 L 4315 4192 mt 4300 4192 L 2676 4227 mt (0.4) s 2844 3981 mt 2858 3981 L 4315 3981 mt 4300 3981 L 2676 4016 mt (0.6) s 2844 3770 mt 2858 3770 L 4315 3770 mt 4300 3770 L 2676 3805 mt (0.8) s 2844 3559 mt 2858 3559 L 4315 3559 mt 4300 3559 L 2756 3594 mt (1) s 2844 4614 mt 4315 4614 L 2844 3454 mt 4315 3454 L 2844 4614 mt 2844 3454 L 4315 4614 mt 4315 3454 L gs 2844 3454 1472 1161 MR c np c8 0 658 98 0 0 -658 2917 4614 4 MP PP 0 sg -98 0 0 658 98 0 0 -658 2917 4614 5 MP stroke c8 0 658 98 0 0 -658 3653 4614 4 MP PP 0 sg -98 0 0 658 98 0 0 -658 3653 4614 5 MP stroke c9 0 703 98 0 0 -703 3015 4614 4 MP PP 0 sg -98 0 0 703 98 0 0 -703 3015 4614 5 MP stroke c9 0 706 98 0 0 -706 3751 4614 4 MP PP 0 sg -98 0 0 706 98 0 0 -706 3751 4614 5 MP stroke c10 0 656 98 0 0 -656 3113 4614 4 MP PP 0 sg -98 0 0 656 98 0 0 -656 3113 4614 5 MP stroke c10 0 729 98 0 0 -729 3849 4614 4 MP PP 0 sg -98 0 0 729 98 0 0 -729 3849 4614 5 MP stroke c11 0 758 98 0 0 -758 3211 4614 4 MP PP 0 sg -98 0 0 758 98 0 0 -758 3211 4614 5 MP stroke c11 0 873 98 0 0 -873 3947 4614 4 MP PP 0 sg -98 0 0 873 98 0 0 -873 3947 4614 5 MP stroke c12 0 751 98 0 0 -751 3309 4614 4 MP PP 0 sg -98 0 0 751 98 0 0 -751 3309 4614 5 MP stroke c12 0 897 98 0 0 -897 4045 4614 4 MP PP 0 sg -98 0 0 897 98 0 0 -897 4045 4614 5 MP stroke c13 0 671 98 0 0 -671 3407 4614 4 MP PP 0 sg -98 0 0 671 98 0 0 -671 3407 4614 5 MP stroke c13 0 837 98 0 0 -837 4143 4614 4 MP PP 0 sg -98 0 0 837 98 0 0 -837 4143 4614 5 MP stroke 0 75 3064 3873 2 MP stroke 22 0 3053 3873 2 MP stroke 22 0 3053 3948 2 MP stroke 0 65 3162 3926 2 MP stroke 22 0 3151 3926 2 MP stroke 22 0 3151 3991 2 MP stroke 0 48 3260 3832 2 MP stroke 23 0 3249 3832 2 MP stroke 23 0 3249 3880 2 MP stroke 0 85 3358 3821 2 MP stroke 23 0 3347 3821 2 MP stroke 23 0 3347 3906 2 MP stroke 0 80 3456 3903 2 MP stroke 23 0 3445 3903 2 MP stroke 23 0 3445 3983 2 MP stroke 0 20 3800 3898 2 MP stroke 23 0 3788 3898 2 MP stroke 23 0 3788 3918 2 MP stroke 0 92 3898 3839 2 MP stroke 23 0 3886 3839 2 MP stroke 23 0 3886 3931 2 MP stroke 0 108 3996 3687 2 MP stroke 22 0 3985 3687 2 MP stroke 22 0 3985 3795 2 MP stroke 0 76 4094 3679 2 MP stroke 22 0 4083 3679 2 MP stroke 22 0 4083 3755 2 MP stroke 0 135 4192 3709 2 MP stroke 22 0 4181 3709 2 MP stroke 22 0 4181 3844 2 MP stroke gr 24 W 3064 3911 PD 24 W 3162 3958 PD 24 W 3260 3856 PD 24 W 3358 3863 PD 24 W 3456 3943 PD 24 W 3800 3908 PD 24 W 3898 3885 PD 24 W 3996 3741 PD 24 W 4094 3717 PD 24 W 4192 3777 PD gs 2844 3454 1472 1161 MR c np gr 2999 3379 mt (protein \(N=116, C=6, d=20\)) s 1 sg 0 1160 1472 0 0 -1160 4788 4614 4 MP PP -1472 0 0 1160 1472 0 0 -1160 4788 4614 5 MP stroke 4 w DO SO 6 w 0 sg 4788 4614 mt 6260 4614 L 4788 3454 mt 6260 3454 L 4788 4614 mt 4788 3454 L 6260 4614 mt 6260 3454 L 4788 4614 mt 6260 4614 L 4788 4614 mt 4788 3454 L 5156 4614 mt 5156 4599 L 5156 3454 mt 5156 3468 L 4992 4737 mt (Kc=694) s 5892 4614 mt 5892 4599 L 5892 3454 mt 5892 3468 L 5728 4737 mt (Kc=611) s 4788 4614 mt 4802 4614 L 6260 4614 mt 6245 4614 L 4700 4649 mt (0) s 4788 4403 mt 4802 4403 L 6260 4403 mt 6245 4403 L 4620 4438 mt (0.2) s 4788 4192 mt 4802 4192 L 6260 4192 mt 6245 4192 L 4620 4227 mt (0.4) s 4788 3981 mt 4802 3981 L 6260 3981 mt 6245 3981 L 4620 4016 mt (0.6) s 4788 3770 mt 4802 3770 L 6260 3770 mt 6245 3770 L 4620 3805 mt (0.8) s 4788 3559 mt 4802 3559 L 6260 3559 mt 6245 3559 L 4700 3594 mt (1) s 4788 4614 mt 6260 4614 L 4788 3454 mt 6260 3454 L 4788 4614 mt 4788 3454 L 6260 4614 mt 6260 3454 L gs 4788 3454 1473 1161 MR c np c8 0 566 98 0 0 -566 4861 4614 4 MP PP 0 sg -98 0 0 566 98 0 0 -566 4861 4614 5 MP stroke c8 0 566 98 0 0 -566 5597 4614 4 MP PP 0 sg -98 0 0 566 98 0 0 -566 5597 4614 5 MP stroke c9 0 587 98 0 0 -587 4959 4614 4 MP PP 0 sg -98 0 0 587 98 0 0 -587 4959 4614 5 MP stroke c9 0 583 98 0 0 -583 5695 4614 4 MP PP 0 sg -98 0 0 583 98 0 0 -583 5695 4614 5 MP stroke c10 0 638 99 0 0 -638 5057 4614 4 MP PP 0 sg -99 0 0 638 99 0 0 -638 5057 4614 5 MP stroke c10 0 644 99 0 0 -644 5793 4614 4 MP PP 0 sg -99 0 0 644 99 0 0 -644 5793 4614 5 MP stroke c11 0 569 98 0 0 -569 5156 4614 4 MP PP 0 sg -98 0 0 569 98 0 0 -569 5156 4614 5 MP stroke c11 0 572 98 0 0 -572 5892 4614 4 MP PP 0 sg -98 0 0 572 98 0 0 -572 5892 4614 5 MP stroke c12 0 595 98 0 0 -595 5254 4614 4 MP PP 0 sg -98 0 0 595 98 0 0 -595 5254 4614 5 MP stroke c12 0 603 98 0 0 -603 5990 4614 4 MP PP 0 sg -98 0 0 603 98 0 0 -603 5990 4614 5 MP stroke c13 0 655 98 0 0 -655 5352 4614 4 MP PP 0 sg -98 0 0 655 98 0 0 -655 5352 4614 5 MP stroke c13 0 673 98 0 0 -673 6088 4614 4 MP PP 0 sg -98 0 0 673 98 0 0 -673 6088 4614 5 MP stroke 0 92 5008 3981 2 MP stroke 23 0 4997 3981 2 MP stroke 23 0 4997 4073 2 MP stroke 0 30 5106 3961 2 MP stroke 23 0 5095 3961 2 MP stroke 23 0 5095 3991 2 MP stroke 0 6 5205 4042 2 MP stroke 23 0 5193 4042 2 MP stroke 23 0 5193 4048 2 MP stroke 0 102 5303 3968 2 MP stroke 23 0 5291 3968 2 MP stroke 23 0 5291 4070 2 MP stroke 0 27 5401 3946 2 MP stroke 22 0 5390 3946 2 MP stroke 22 0 5390 3973 2 MP stroke 0 44 5744 4009 2 MP stroke 23 0 5733 4009 2 MP stroke 23 0 5733 4053 2 MP stroke 0 16 5842 3962 2 MP stroke 23 0 5831 3962 2 MP stroke 23 0 5831 3978 2 MP stroke 0 11 5941 4037 2 MP stroke 23 0 5929 4037 2 MP stroke 23 0 5929 4048 2 MP stroke 0 60 6039 3981 2 MP stroke 23 0 6027 3981 2 MP stroke 23 0 6027 4041 2 MP stroke 0 27 6137 3928 2 MP stroke 22 0 6126 3928 2 MP stroke 22 0 6126 3955 2 MP stroke gr 24 W 5008 4027 PD 24 W 5106 3976 PD 24 W 5205 4045 PD 24 W 5303 4019 PD 24 W 5401 3959 PD 24 W 5744 4031 PD 24 W 5842 3970 PD 24 W 5941 4042 PD 24 W 6039 4011 PD 24 W 6137 3941 PD gs 4788 3454 1473 1161 MR c np gr 4935 3379 mt (diabetes \(N=768, C=2, d=8\)) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 450 4360 a(Figure) e(6:) 23 b(Clustering) c(accurac) o(y) g (on) g(9) g(UCI) f(datasets.) 23 b(In) 18 b(each) h(panel,) g(the) g (six) f(bars) h(on) f(the) h(left) f(correspond) i(to) 450 4443 y(an) h(e) o(xperiment) h(with) e(\223little\224) g (side-information) p Fi 22 w(S) p Fn 6 w(,) g(and) h(the) g(six) g(on) g (the) g(right) g(to) f(\223much\224) i(side-information.) 450 4526 y(From) 29 b(left) h(to) f(right,) j(the) e(six) g(bars) g(in) g (each) g(set) g(are) f(respecti) n(v) o(ely) i(K-means,) i(K-means) p Fk 30 w(+) p Fn 29 w(diagon) r(al) c(met-) 450 4609 y(ric,) 24 b(K-means) p Fk 24 w(+) p Fn 24 w(full) f(metric,) h(Constrained) h (K-means) f(\(C-Kmeans\),) h(C-Kmeans) p Fk 24 w(+) p Fn 23 w(diagona) r(l) e(metric,) h(and) 450 4692 y(C-Kmeans) p Fk 23 w(+) p Fn 22 w(full) d(metric.) 34 b(Also) 22 b(sho) n(wn) h(are) p Fm 22 w(N) p Fn 8 w(:) 31 b(size) 22 b(of) g(dataset;) p Fm 25 w(C) p Fn 5 w(:) 29 b(numb) r(er) 22 b(of) g(classes/clusters;) p Fm 24 w(d) p Fn(:) 30 b(di-) 450 4775 y(mensionality) 24 b(of) f(data;) p Fm 24 w(K) p Fl 1178 4783 a(c) p Fn 1210 4775 a(:) 31 b(mean) 24 b(number) g(of) e(conn) r(ected) h(compon) r(ents) g(\(see) g(footnotes) g(7,) h(9\).) 35 b(1) 23 b(s.e.) 35 b(bars) 450 4858 y(are) 19 b(also) g(sho) n(wn.) p 90 rotate dyy eop %%Page: 8 8 8 7 bop 669 904 a @beginspecial 58 @llx 195 @lly 550 @urx 607 @ury 1296 @rwi @setspecial %%BeginDocument: figure_new/fig71.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /root/work/slide_MDL/MDL_02Jan23/code_exp2final/fig1.eps %%CreationDate: 12/01/2000 04:27:25 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 58 195 550 607 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinecap 1 cap 3 1 roll 2 copy mt lineto stroke cap PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 58 195 550 607 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 482 51 5910 4949 MR c np 91 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 4225 5361 0 0 -4225 899 4613 4 MP PP -5361 0 0 4225 5361 0 0 -4225 899 4613 5 MP stroke 4 w DO SO 6 w 0 sg 899 4613 mt 6260 4613 L 899 388 mt 6260 388 L 899 4613 mt 899 388 L 6260 4613 mt 6260 388 L 899 4613 mt 6260 4613 L 899 4613 mt 899 388 L 899 4613 mt 899 4560 L 899 388 mt 899 442 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 4759 mt (0) s 3579 4613 mt 3579 4560 L 3579 388 mt 3579 442 L 3496 4759 mt (0.1) s 6260 4613 mt 6260 4560 L 6260 388 mt 6260 442 L 6177 4759 mt (0.2) s 899 4236 mt 952 4236 L 6260 4236 mt 6206 4236 L 698 4280 mt (0.5) s 899 3482 mt 952 3482 L 6260 3482 mt 6206 3482 L 698 3526 mt (0.6) s 899 2727 mt 952 2727 L 6260 2727 mt 6206 2727 L 698 2771 mt (0.7) s 899 1973 mt 952 1973 L 6260 1973 mt 6206 1973 L 698 2017 mt (0.8) s 899 1218 mt 952 1218 L 6260 1218 mt 6206 1218 L 698 1262 mt (0.9) s 899 464 mt 952 464 L 6260 464 mt 6206 464 L 798 508 mt (1) s 899 4613 mt 6260 4613 L 899 388 mt 6260 388 L 899 4613 mt 899 388 L 6260 4613 mt 6260 388 L gs 899 388 5362 4226 MR c np DO 1341 0 670 0 670 0 670 0 670 0 268 0 268 0 268 0 268 0 1167 3308 10 MP stroke DD 1341 -144 670 -202 670 -152 670 -287 670 -326 268 68 268 -444 268 -445 268 -291 1167 2881 10 MP stroke DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 1341 -28 670 4 670 129 670 -55 670 -84 268 58 268 -49 268 -28 268 -19 1167 2999 10 MP stroke SO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 1341 -205 670 -98 670 -59 670 -241 670 -383 268 -286 268 -200 268 -561 268 -269 1167 2912 10 MP stroke DA c8 1341 -353 670 20 670 -36 670 -144 670 -142 268 -208 268 -148 268 -167 268 -46 1167 3368 10 MP stroke gr c8 DA SO 36 36 1167 3368 FO 36 36 1435 3322 FO 36 36 1703 3155 FO 36 36 1971 3007 FO 36 36 2239 2799 FO 36 36 2909 2657 FO 36 36 3579 2513 FO 36 36 4249 2477 FO 36 36 4919 2497 FO 36 36 6260 2144 FO DA gs 899 388 5362 4226 MR c np SO c9 1341 -155 670 -227 670 -214 670 -332 670 -532 268 -374 268 -442 268 -376 268 -114 1167 3327 10 MP stroke gr c9 SO 36 36 1167 3327 FO 36 36 1435 3213 FO 36 36 1703 2837 FO 36 36 1971 2395 FO 36 36 2239 2021 FO 36 36 2909 1489 FO 36 36 3579 1157 FO 36 36 4249 943 FO 36 36 4919 716 FO 36 36 6260 561 FO gs 899 388 5362 4226 MR c np 0 sg 0 403 1167 2680 2 MP stroke 101 0 1116 2680 2 MP stroke 101 0 1116 3083 2 MP stroke 0 338 1435 2421 2 MP stroke 102 0 1384 2421 2 MP stroke 102 0 1384 2759 2 MP stroke 0 940 1703 1675 2 MP stroke 102 0 1652 1675 2 MP stroke 102 0 1652 2615 2 MP stroke 0 480 1971 1461 2 MP stroke 102 0 1920 1461 2 MP stroke 102 0 1920 1941 2 MP stroke 0 772 2239 1383 2 MP stroke 102 0 2188 1383 2 MP stroke 102 0 2188 2155 2 MP stroke 0 574 2909 1156 2 MP stroke 102 0 2858 1156 2 MP stroke 102 0 2858 1730 2 MP stroke 0 320 3579 996 2 MP stroke 102 0 3528 996 2 MP stroke 102 0 3528 1316 2 MP stroke 0 471 4249 769 2 MP stroke 102 0 4198 769 2 MP stroke 102 0 4198 1240 2 MP stroke 0 270 4919 667 2 MP stroke 102 0 4868 667 2 MP stroke 102 0 4868 937 2 MP stroke 0 409 6260 453 2 MP stroke 52 0 6209 453 2 MP stroke 52 0 6209 862 2 MP stroke DD 1341 -144 670 -202 670 -152 670 -287 670 -326 268 68 268 -444 268 -445 268 -291 1167 2881 10 MP stroke SO c8 0 321 1167 2839 2 MP stroke 101 0 1116 2839 2 MP stroke 101 0 1116 3160 2 MP stroke 0 539 1435 2711 2 MP stroke 102 0 1384 2711 2 MP stroke 102 0 1384 3250 2 MP stroke 0 403 1703 2750 2 MP stroke 102 0 1652 2750 2 MP stroke 102 0 1652 3153 2 MP stroke 0 482 1971 2662 2 MP stroke 102 0 1920 2662 2 MP stroke 102 0 1920 3144 2 MP stroke 0 137 2239 2892 2 MP stroke 102 0 2188 2892 2 MP stroke 102 0 2188 3029 2 MP stroke 0 273 2909 2740 2 MP stroke 102 0 2858 2740 2 MP stroke 102 0 2858 3013 2 MP stroke 0 422 3579 2611 2 MP stroke 102 0 3528 2611 2 MP stroke 102 0 3528 3033 2 MP stroke 0 491 4249 2706 2 MP stroke 102 0 4198 2706 2 MP stroke 102 0 4198 3197 2 MP stroke 0 200 4919 2855 2 MP stroke 102 0 4868 2855 2 MP stroke 102 0 4868 3055 2 MP stroke 0 283 6260 2786 2 MP stroke 52 0 6209 2786 2 MP stroke 52 0 6209 3069 2 MP stroke DA 1341 -28 670 4 670 129 670 -55 670 -84 268 58 268 -49 268 -28 268 -19 1167 2999 10 MP stroke SO c9 0 365 1167 2729 2 MP stroke 101 0 1116 2729 2 MP stroke 101 0 1116 3094 2 MP stroke 0 611 1435 2337 2 MP stroke 102 0 1384 2337 2 MP stroke 102 0 1384 2948 2 MP stroke 0 684 1703 1740 2 MP stroke 102 0 1652 1740 2 MP stroke 102 0 1652 2424 2 MP stroke 0 535 1971 1615 2 MP stroke 102 0 1920 1615 2 MP stroke 102 0 1920 2150 2 MP stroke 0 547 2239 1322 2 MP stroke 102 0 2188 1322 2 MP stroke 102 0 2188 1869 2 MP stroke 0 316 2909 1055 2 MP stroke 102 0 2858 1055 2 MP stroke 102 0 2858 1371 2 MP stroke 0 289 3579 827 2 MP stroke 102 0 3528 827 2 MP stroke 102 0 3528 1116 2 MP stroke 0 309 4249 758 2 MP stroke 102 0 4198 758 2 MP stroke 102 0 4198 1067 2 MP stroke 0 317 4919 657 2 MP stroke 102 0 4868 657 2 MP stroke 102 0 4868 974 2 MP stroke 0 276 6260 472 2 MP stroke 52 0 6209 472 2 MP stroke 52 0 6209 748 2 MP stroke 1341 -205 670 -98 670 -59 670 -241 670 -383 268 -286 268 -200 268 -561 268 -269 1167 2912 10 MP stroke c8 0 546 1167 3095 2 MP stroke 101 0 1116 3095 2 MP stroke 101 0 1116 3641 2 MP stroke 0 469 1435 3088 2 MP stroke 102 0 1384 3088 2 MP stroke 102 0 1384 3557 2 MP stroke 0 552 1703 2879 2 MP stroke 102 0 1652 2879 2 MP stroke 102 0 1652 3431 2 MP stroke 0 546 1971 2734 2 MP stroke 102 0 1920 2734 2 MP stroke 102 0 1920 3280 2 MP stroke 0 658 2239 2470 2 MP stroke 102 0 2188 2470 2 MP stroke 102 0 2188 3128 2 MP stroke 0 586 2909 2364 2 MP stroke 102 0 2858 2364 2 MP stroke 102 0 2858 2950 2 MP stroke 0 845 3579 2090 2 MP stroke 102 0 3528 2090 2 MP stroke 102 0 3528 2935 2 MP stroke 0 411 4249 2271 2 MP stroke 102 0 4198 2271 2 MP stroke 102 0 4198 2682 2 MP stroke 0 440 4919 2277 2 MP stroke 102 0 4868 2277 2 MP stroke 102 0 4868 2717 2 MP stroke 0 540 6260 1874 2 MP stroke 52 0 6209 1874 2 MP stroke 52 0 6209 2414 2 MP stroke DA 1341 -353 670 20 670 -36 670 -144 670 -142 268 -208 268 -148 268 -167 268 -46 1167 3368 10 MP stroke SO c9 0 608 1167 3023 2 MP stroke 101 0 1116 3023 2 MP stroke 101 0 1116 3631 2 MP stroke 0 569 1435 2928 2 MP stroke 102 0 1384 2928 2 MP stroke 102 0 1384 3497 2 MP stroke 0 845 1703 2414 2 MP stroke 102 0 1652 2414 2 MP stroke 102 0 1652 3259 2 MP stroke 0 1188 1971 1801 2 MP stroke 102 0 1920 1801 2 MP stroke 102 0 1920 2989 2 MP stroke 0 964 2239 1539 2 MP stroke 102 0 2188 1539 2 MP stroke 102 0 2188 2503 2 MP stroke 0 619 2909 1180 2 MP stroke 102 0 2858 1180 2 MP stroke 102 0 2858 1799 2 MP stroke 0 434 3579 940 2 MP stroke 102 0 3528 940 2 MP stroke 102 0 3528 1374 2 MP stroke 0 296 4249 795 2 MP stroke 102 0 4198 795 2 MP stroke 102 0 4198 1091 2 MP stroke 0 343 4919 544 2 MP stroke 102 0 4868 544 2 MP stroke 102 0 4868 887 2 MP stroke 0 210 6260 456 2 MP stroke 52 0 6209 456 2 MP stroke 52 0 6209 666 2 MP stroke 1341 -155 670 -227 670 -214 670 -332 670 -532 268 -374 268 -442 268 -376 268 -114 1167 3327 10 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 192 FMSR 2799 4955 mt (ratio of constraints) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 168 FMSR 643 2971 mt -90 rotate (performance) s 90 rotate %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 192 FMSR 2232 277 mt (Performance on Protein dataset) s 1 sg 0 850 1856 0 0 -850 3744 4266 4 MP PP -1856 0 0 850 1856 0 0 -850 3744 4266 5 MP stroke 4 w DO SO 6 w 0 sg 3744 4266 mt 5600 4266 L 3744 3416 mt 5600 3416 L 3744 4266 mt 3744 3416 L 5600 4266 mt 5600 3416 L 3744 4266 mt 5600 4266 L 3744 4266 mt 3744 3416 L 3744 4266 mt 5600 4266 L 3744 3416 mt 5600 3416 L 3744 4266 mt 3744 3416 L 5600 4266 mt 5600 3416 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 4077 3538 mt (kmeans) s 4077 3676 mt (c-kmeans) s 4077 3814 mt (kmeans + metric \(diag A\)) s 4077 3952 mt (c-kmeans + metric \(diag A\)) s 4077 4090 mt (kmeans + metric \(full A\)) s 4077 4228 mt (c-kmeans + metric \(full A\)) s gs 3744 3416 1857 851 MR c np DO 200 0 3810 3497 2 MP stroke SO DD 200 0 3810 3635 2 MP stroke SO DA c8 200 0 3810 3774 2 MP stroke SO c9 200 0 3810 3912 2 MP stroke DA c8 200 0 3810 4050 2 MP stroke SO gs 3837 3977 147 147 MR c np 36 36 3910 4050 FO gr c9 200 0 3810 4188 2 MP stroke gs 3837 4115 147 147 MR c np 36 36 3910 4188 FO gr gr c9 end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1461 w @beginspecial 58 @llx 195 @lly 550 @urx 607 @ury 1296 @rwi @setspecial %%BeginDocument: figure_new/fig72.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /root/work/slide_MDL/MDL_02Jan23/code_exp2final/fig2.eps %%CreationDate: 12/01/2000 04:30:18 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 58 195 550 607 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinecap 1 cap 3 1 roll 2 copy mt lineto stroke cap PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 58 195 550 607 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 482 51 5910 4949 MR c np 91 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5185 PR 6 w 0 4225 5361 0 0 -4225 899 4613 4 MP PP -5361 0 0 4225 5361 0 0 -4225 899 4613 5 MP stroke 4 w DO SO 6 w 0 sg 899 4613 mt 6260 4613 L 899 388 mt 6260 388 L 899 4613 mt 899 388 L 6260 4613 mt 6260 388 L 899 4613 mt 6260 4613 L 899 4613 mt 899 388 L 899 4613 mt 899 4560 L 899 388 mt 899 442 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 4759 mt (0) s 3579 4613 mt 3579 4560 L 3579 388 mt 3579 442 L 3496 4759 mt (0.1) s 6260 4613 mt 6260 4560 L 6260 388 mt 6260 442 L 6177 4759 mt (0.2) s 899 4236 mt 952 4236 L 6260 4236 mt 6206 4236 L 698 4280 mt (0.5) s 899 3482 mt 952 3482 L 6260 3482 mt 6206 3482 L 698 3526 mt (0.6) s 899 2727 mt 952 2727 L 6260 2727 mt 6206 2727 L 698 2771 mt (0.7) s 899 1973 mt 952 1973 L 6260 1973 mt 6206 1973 L 698 2017 mt (0.8) s 899 1218 mt 952 1218 L 6260 1218 mt 6206 1218 L 698 1262 mt (0.9) s 899 464 mt 952 464 L 6260 464 mt 6206 464 L 798 508 mt (1) s 899 4613 mt 6260 4613 L 899 388 mt 6260 388 L 899 4613 mt 899 388 L 6260 4613 mt 6260 388 L gs 899 388 5362 4226 MR c np DO 1341 0 1340 0 670 0 670 0 670 0 402 0 134 0 1033 3814 8 MP stroke DD 1341 0 1340 -6 670 -34 670 -569 670 -1480 402 -1023 134 -143 1033 3719 8 MP stroke DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 1341 45 1340 -59 670 30 670 -4 670 -1 402 -36 134 -102 1033 1339 8 MP stroke SO /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 1341 0 1340 0 670 0 670 -60 670 -123 402 -281 134 -228 1033 1156 8 MP stroke DA c8 1341 35 1340 -1 670 -31 670 41 670 -95 402 -61 134 -165 1033 1399 8 MP stroke gr c8 DA SO 36 36 1033 1399 FO 36 36 1167 1234 FO 36 36 1569 1173 FO 36 36 2239 1078 FO 36 36 2909 1119 FO 36 36 3579 1088 FO 36 36 4919 1087 FO 36 36 6260 1122 FO DA gs 899 388 5362 4226 MR c np SO c9 1341 0 1340 0 670 0 670 -57 670 -99 402 -399 134 -231 1033 1250 8 MP stroke gr c9 SO 36 36 1033 1250 FO 36 36 1167 1019 FO 36 36 1569 620 FO 36 36 2239 521 FO 36 36 2909 464 FO 36 36 3579 464 FO 36 36 4919 464 FO 36 36 6260 464 FO gs 899 388 5362 4226 MR c np 0 sg 0 170 1033 3634 2 MP stroke 105 0 980 3634 2 MP stroke 105 0 980 3804 2 MP stroke 0 240 1167 3456 2 MP stroke 105 0 1114 3456 2 MP stroke 105 0 1114 3696 2 MP stroke 0 553 1569 2277 2 MP stroke 105 0 1516 2277 2 MP stroke 105 0 1516 2830 2 MP stroke 0 912 2239 617 2 MP stroke 105 0 2186 617 2 MP stroke 105 0 2186 1529 2 MP stroke 0 144 2909 432 2 MP stroke 104 0 2857 432 2 MP stroke 104 0 2857 576 2 MP stroke 0 37 3579 451 2 MP stroke 104 0 3527 451 2 MP stroke 104 0 3527 488 2 MP stroke 4919 464 PD 105 0 4867 464 2 MP stroke 105 0 4867 464 2 MP stroke 6260 464 PD 54 0 6207 464 2 MP stroke 54 0 6207 464 2 MP stroke DD 1341 0 1340 -6 670 -34 670 -569 670 -1480 402 -1023 134 -143 1033 3719 8 MP stroke SO c8 0 413 1033 1132 2 MP stroke 105 0 980 1132 2 MP stroke 105 0 980 1545 2 MP stroke 0 300 1167 1087 2 MP stroke 105 0 1114 1087 2 MP stroke 105 0 1114 1387 2 MP stroke 0 258 1569 1072 2 MP stroke 105 0 1516 1072 2 MP stroke 105 0 1516 1330 2 MP stroke 0 250 2239 1075 2 MP stroke 105 0 2186 1075 2 MP stroke 105 0 2186 1325 2 MP stroke 0 257 2909 1068 2 MP stroke 104 0 2857 1068 2 MP stroke 104 0 2857 1325 2 MP stroke 0 256 3579 1098 2 MP stroke 104 0 3527 1098 2 MP stroke 104 0 3527 1354 2 MP stroke 0 313 4919 1011 2 MP stroke 105 0 4867 1011 2 MP stroke 105 0 4867 1324 2 MP stroke 0 235 6260 1095 2 MP stroke 54 0 6207 1095 2 MP stroke 54 0 6207 1330 2 MP stroke DA 1341 45 1340 -59 670 30 670 -4 670 -1 402 -36 134 -102 1033 1339 8 MP stroke SO c9 0 353 1033 980 2 MP stroke 105 0 980 980 2 MP stroke 105 0 980 1333 2 MP stroke 0 226 1167 815 2 MP stroke 105 0 1114 815 2 MP stroke 105 0 1114 1041 2 MP stroke 0 165 1569 565 2 MP stroke 105 0 1516 565 2 MP stroke 105 0 1516 730 2 MP stroke 0 132 2239 458 2 MP stroke 105 0 2186 458 2 MP stroke 105 0 2186 590 2 MP stroke 2909 464 PD 104 0 2857 464 2 MP stroke 104 0 2857 464 2 MP stroke 3579 464 PD 104 0 3527 464 2 MP stroke 104 0 3527 464 2 MP stroke 4919 464 PD 105 0 4867 464 2 MP stroke 105 0 4867 464 2 MP stroke 6260 464 PD 54 0 6207 464 2 MP stroke 54 0 6207 464 2 MP stroke 1341 0 1340 0 670 0 670 -60 670 -123 402 -281 134 -228 1033 1156 8 MP stroke c8 0 793 1033 1003 2 MP stroke 105 0 980 1003 2 MP stroke 105 0 980 1796 2 MP stroke 0 363 1167 1052 2 MP stroke 105 0 1114 1052 2 MP stroke 105 0 1114 1415 2 MP stroke 0 316 1569 1015 2 MP stroke 105 0 1516 1015 2 MP stroke 105 0 1516 1331 2 MP stroke 0 198 2239 979 2 MP stroke 105 0 2186 979 2 MP stroke 105 0 2186 1177 2 MP stroke 0 82 2909 1078 2 MP stroke 104 0 2857 1078 2 MP stroke 104 0 2857 1160 2 MP stroke 0 135 3579 1021 2 MP stroke 104 0 3527 1021 2 MP stroke 104 0 3527 1156 2 MP stroke 0 87 4919 1043 2 MP stroke 105 0 4867 1043 2 MP stroke 105 0 4867 1130 2 MP stroke 0 128 6260 1058 2 MP stroke 54 0 6207 1058 2 MP stroke 54 0 6207 1186 2 MP stroke DA 1341 35 1340 -1 670 -31 670 41 670 -95 402 -61 134 -165 1033 1399 8 MP stroke SO c9 0 826 1033 837 2 MP stroke 105 0 980 837 2 MP stroke 105 0 980 1663 2 MP stroke 0 301 1167 868 2 MP stroke 105 0 1114 868 2 MP stroke 105 0 1114 1169 2 MP stroke 0 220 1569 510 2 MP stroke 105 0 1516 510 2 MP stroke 105 0 1516 730 2 MP stroke 0 125 2239 458 2 MP stroke 105 0 2186 458 2 MP stroke 105 0 2186 583 2 MP stroke 2909 464 PD 104 0 2857 464 2 MP stroke 104 0 2857 464 2 MP stroke 3579 464 PD 104 0 3527 464 2 MP stroke 104 0 3527 464 2 MP stroke 4919 464 PD 105 0 4867 464 2 MP stroke 105 0 4867 464 2 MP stroke 6260 464 PD 54 0 6207 464 2 MP stroke 54 0 6207 464 2 MP stroke 1341 0 1340 0 670 0 670 -57 670 -99 402 -399 134 -231 1033 1250 8 MP stroke gr 0 sg %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 192 FMSR 2799 4955 mt (ratio of constraints) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 168 FMSR 643 2971 mt -90 rotate (performance) s 90 rotate %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 192 FMSR 2317 277 mt (Performance on Wine dataset) s 1 sg 0 851 1856 0 0 -851 3771 3389 4 MP PP -1856 0 0 851 1856 0 0 -851 3771 3389 5 MP stroke 4 w DO SO 6 w 0 sg 3771 3389 mt 5627 3389 L 3771 2538 mt 5627 2538 L 3771 3389 mt 3771 2538 L 5627 3389 mt 5627 2538 L 3771 3389 mt 5627 3389 L 3771 3389 mt 3771 2538 L 3771 3389 mt 5627 3389 L 3771 2538 mt 5627 2538 L 3771 3389 mt 3771 2538 L 5627 3389 mt 5627 2538 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 4104 2660 mt (kmeans) s 4104 2798 mt (c-kmeans) s 4104 2936 mt (kmeans + metric \(diag A\)) s 4104 3074 mt (c-kmeans + metric \(diag A\)) s 4104 3212 mt (kmeans + metric \(full A\)) s 4104 3350 mt (c-kmeans + metric \(full A\)) s gs 3771 2538 1857 852 MR c np DO 200 0 3837 2620 2 MP stroke SO DD 200 0 3837 2758 2 MP stroke SO DA c8 200 0 3837 2896 2 MP stroke SO c9 200 0 3837 3034 2 MP stroke DA c8 200 0 3837 3172 2 MP stroke SO gs 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o(w) p Fn(,) g(1996) r(.) 487 3244 y([2]) 42 b(T) -6 b(.) 18 b(Cox) i(and) f(M.) g(Cox.) p Fa 27 w(Multidimensiona) r(l) f(Scaling) p Fn(.) 28 b(Chapman) 20 b(&) f(Hall,) f(London,) i(1994.) 487 3359 y([3]) 42 b(C.) 18 b(Domenico) r(ni) h(and) h(D.) e(Gunop) r (ulos.) 28 b(Adapti) n(v) o(e) 19 b(nearest) h(neighbo) r(r) e (classi\002cation) i(using) f(supp) r(ort) g(v) o(ec-) 616 3442 y(tor) g(machines.) 27 b(In) p Fa 19 w(Advance) r(s) 18 b(in) h(Neur) o(al) g(Information) h(Pr) m(ocessing) f(Systems) h(14) p Fn(.) f(MIT) f(Press,) g(200) r(2.) 487 3558 y([4]) 42 b(G.) 18 b(H.) h(Golub) g(and) h(C.) e(F) -6 b(.) 18 b(V) -8 b(an) 19 b(Loan.) p Fa 27 w(Matrix) g(Computations) p Fn(.) 28 b(Johns) 20 b(Hopkins) g(Uni) n(v) -5 b(.) 19 b(Press,) f(1996.) 487 3673 y([5]) 42 b(T) -6 b(.) 17 b(Hastie) g(and) h(R.) f(T) m(ibshirani.) 24 b(Discriminant) 17 b(adapti) n(v) o(e) i(nearest) e(neigh) r(bor) g(classi\002cation.) p Fa 24 w(IEEE) f(T) l(r) o(ans-) 616 3756 y(actions) k(on) f(P) -6 b(attern) 19 b(Analysis) g(and) g(Mac) o(hin) r(e) f(Learning) p Fn(,) i(18:607\226) r(616,) f(1996) r(.) 487 3871 y([6]) 42 b(T) -6 b(.S.) 14 b(Jaakk) q(ola) h(and) i(D.) e(Haussler) l(.) k (Exploiting) d(genera) r(ti) n(v) o(e) f(models) h(in) g(discriminai) n (v) o(e) g(classi\002er) l(.) j(In) p Fa 15 w(Pr) m(oc.) 616 3954 y(of) g(T) -7 b(enth) 19 b(Confer) m(ence) h(on) g(Advances) g(in) e(Neur) o(al) i(Information) f(Pr) m(ocessing) h(Systems) p Fn(,) f(1999.) 487 4069 y([7]) 42 b(I.T) -6 b(.) 18 b(Jollif) n(fe.) p Fa 26 w(Principal) h(Compon) r(ent) g(Analysis) p Fn(.) 26 b(Springer) o(-V) -8 b(erlag,) 19 b(Ne) n(w) f(Y) -8 b(ork,) 19 b(1989) r(.) 487 4185 y([8]) 42 b(R.) 18 b(Rockafellar) l(.) p Fa 27 w(Con) m(ve) o(x) i(Analysis) p Fn(.) 26 b(Princeton) 19 b(Uni) n(v) -5 b(.) 19 b(Press,) g(1970.) 487 4300 y([9]) 42 b(S.T) -6 b(.) 22 b(Ro) n(weis) i(and) g(L.K.) e(Saul.) 40 b(Nonlinear) 24 b(dimensiona) r(lity) e(reduction) j(by) f(locally) f (linear) g(embedd) r(ing.) p Fa 616 4383 a(Science) d(290) p Fn(:) k(2323-2) r(326.) 450 4498 y([10]) 42 b(B.) 18 b(Scholk) o(op) r(f) g(and) i(A.) e(Smola.) p Fa 27 w(Learning) h(with) g(K) m(ernels) p Fn(.) 27 b(In) 19 b(Press,) f(2001) r(.) 450 4613 y([11]) 42 b(N.) 20 b(T) m(ishby) -5 b(,) 21 b(F) -6 b(.) 19 b(Pereira,) h(and) h(W) -7 b(.) 20 b(Bialek.) 31 b(The) 20 b(information) h(bottleneck) h(method.) 32 b(In) p Fa 21 w(Pr) m(oc.) 19 b(of) i(the) f(37th) 616 4697 y(Allerton) f(Confer) m(ence) h(on) f(Communication) r(,) f(Contr) m(ol) h(and) h(Computing) p Fn(,) f(1999) r(.) 450 4812 y([12]) 42 b(K.) 17 b(W) -6 b(agstaf) n(f,) 18 b(C.) f(Cardie,) h(S.) f (Rogers,) i(and) g(S.) e(Schroedl.) 25 b(Constrained) 19 b(k-means) g(clustering) f(with) g(back-) 616 4895 y(ground) i(kno) n (w) r(ledge.) 27 b(In) p Fa 19 w(Pr) m(oc.) 18 b(18th) i(International) g(Confer) m(ence) g(on) f(Mac) o(hin) r(e) f(Learning) p Fn(,) i(2001.) p 90 rotate dyy eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF