(original) (raw)

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(detection)g(in)i(a)f(nutshell)2270 3132 y Fr(1)2303 3162 y FB(.)466 3944 y @beginspecial 86 @llx 405 @lly 543 @urx 596 @ury 2016 @rwi @setspecial %%BeginDocument: figures/all_test.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/GeneNet/data/yeast_motifs/yeast/all_test.eps %%CreationDate: 06/10/2002 18:24:21 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 86 405 543 596 %%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 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(smoothing)e(rather)i(than)g(for)g(e)o(xplicitly)450 4217 y(incorporating)17 b(prior)i(kno)n(wledges)f(about)i(motifs.)450 4324 y(W)-7 b(e)26 b(depart)f(from)f(the)i(PM)f(model)g(and)g (introduce)e(a)j(dynamic)e(hierarchical)f(Bayesian)j(model)e(for)450 4413 y(motif)15 b(alignment)g Fs(A)p FB(,)i(which)f(captures)f(site)i (dependencies)d(inside)h(the)h(motif)g(so)g(that)g(we)h(can)e(predict) 450 4503 y(biologically)h(more)h(plausible)g(motifs,)g(and)g (incorporate)f(prior)g(kno)n(wledge)f(of)j(nucleotide)e(frequen-)450 4592 y(cies)25 b(of)g(general)e(motif)h(sites.)39 b(In)25 b(order)e(to)i(k)o(eep)f(the)g(local)h(alignment)e(model)h(our)g(main)g (focus)g(as)450 4682 y(well)c(as)g(simplifying)e(the)i(presentation,)e (we)i(adopt)e(an)i(idealized)e(global)h(motif)g(distrib)n(ution)f (model)450 4771 y(called)25 b(\223one-per)n(-sequence\224)c([8)o(],)26 b(which,)g(as)g(the)f(name)f(suggests,)i(assumes)f(each)g(sequence)f (har)n(-)450 4861 y(bors)17 b(one)f(motif)h(instance)f(\(at)i(an)f (unkno)n(wn)d(location\).)23 b(Generalization)15 b(to)j(more)e(e)o (xpressi)n(v)o(e)f(global)450 4950 y(models)20 b(is)h(straightforw)o (ard)c(and)j(is)h(described)e(in)h(the)h(full)f(paper)-5 b(.)p eop %%Page: 4 4 4 3 bop 450 83 a FC(3.2)82 b(Hidden)21 b(Mark)o(o)o(v)e (Dirichlet-Multinomial)h(\(HMDM\))g(Model)450 229 y FB(In)i(the)h(HMDM) g(model,)f(we)h(assume)g(that)g(there)f(are)h Fx(K)29 b FB(underlying)20 b(latent)i(nt-distrib)n(ution)f(proto-)450 319 y(types,)f(according)f(to)h(which)g(position-speci\002c)f (multinomial)h(distrib)n(utions)f(of)i(nt)f(are)h(determined,)450 408 y(and)g(that)h(each)f(prototype)f(is)j(represented)d(by)h(a)h (Dirichlet)g(distrib)n(ution.)28 b(Furthermore,)20 b(the)h(choice)450 498 y(of)f(prototype)e(at)j(each)e(position)h(in)g(the)g(motif)g(is)h (go)o(v)o(erned)c(by)j(a)h(\002rst-order)d(Mark)o(o)o(v)h(process.)450 604 y(More)d(precisely)-5 b(,)15 b(a)i(multi-alignment)d Fs(A)1657 616 y Fu(M)6 b Fg(\002)p Fu(L)1845 604 y FB(containing)15 b Fx(M)25 b FB(motif)16 b(instances)g(is)h(generated)e(by)h(the)450 694 y(follo)n(wing)24 b(process.)40 b(First)26 b(we)g(sample)f(a)h (sequence)e(of)h(prototype)f(indicators)g Fx(q)36 b Fw(=)c(\()p Fx(q)3095 706 y Fv(1)3133 694 y Fx(;)14 b(:)g(:)g(:)27 b(;)14 b(q)3368 706 y Fu(L)3418 694 y Fw(\))450 783 y FB(from)19 b(a)i(\002rst-order)e(Mark)o(o)o(v)g(process)h(with)h (initial)f(distrib)n(ution)g Fx(\031)k FB(and)c(transition)f(matrix)h Fx(B)t FB(.)26 b(Then)450 873 y(we)20 b(repeat)f(the)h(follo)n(wing)e (for)h(each)g(column)f Fx(l)25 b FA(2)e(f)p Fw(1)p Fx(;)14 b(:)g(:)g(:)26 b(;)14 b(L)p FA(g)p FB(:)25 b(\(1\))19 b(A)h(component)d(from)i(a)h(mixture)450 962 y(of)k(Dirichlets)g Fx(\013)31 b Fw(=)f FA(f)r Fx(~)-44 b(\013)1170 974 y Fv(1)1207 962 y Fx(;)14 b(:)g(:)g(:)27 b(;)16 b(~)-44 b(\013)1458 974 y Fu(K)1522 962 y FA(g)p FB(,)25 b(where)f(each)h Fx(~)-43 b(\013)2068 974 y Fu(i)2126 962 y Fw(=)30 b(\()p Fx(\013)2306 974 y Fu(i;)p Fv(1)2387 962 y Fx(;)14 b(:)g(:)g(:)27 b(;)14 b(\013)2638 974 y Fu(i;)p Fv(4)2719 962 y Fw(\))p FB(,)25 b(is)g(pick)o(ed)f(according)450 1075 y(to)f(indicator)e Fx(q)893 1087 y Fu(l)919 1075 y FB(.)33 b(Say)23 b(we)g(pick)o(ed)g Fx(~)-44 b(\013)1537 1087 y Fu(i)1565 1075 y FB(.)33 b(\(2\))22 b(A)i(multinomial)d(distrib)n(ution)2657 1053 y Fx(~)2656 1075 y(\022)2695 1087 y Fu(l)2744 1075 y FB(is)j(sampled)e(according)450 1183 y(to)e Fx(p)p Fw(\()609 1161 y Fx(~)609 1183 y(\022)r FA(j)r Fx(~)-44 b(\013)726 1195 y Fu(i)754 1183 y Fw(\))p FB(,)20 b(the)f(probability)f(de\002ned) g(by)h(Dirichlet)h(component)c Fx(i)k FB(o)o(v)o(er)e(all)i(such)f (distrib)n(utions.)24 b(\(3\))450 1293 y(All)d(the)f(nucleotides)f(in)h (column)f Fx(l)j FB(are)e(generated)f(i.i.d.)25 b(according)18 b(to)i(Multi)p Fw(\()2792 1271 y Fx(~)2792 1293 y(\022)2831 1305 y Fu(l)2856 1293 y Fw(\))p FB(.)450 1399 y(The)g(complete)f(lik)o (elihood)f(of)i(motif)f(alignment)g Fs(A)1996 1411 y Fu(M)6 b Fg(\002)p Fu(L)2188 1399 y FB(characterized)18 b(by)i(counting)e(matrix)h Fx(h)i FB(is:)624 1537 y Fx(p)p Fw(\()p Fs(A)p Fx(;)14 b(q)s(;)g(\022)r FA(j)p Fw(\002)1013 1549 y Fu(l)1039 1537 y Fx(;)g FA(M)1176 1549 y Fu(l)1201 1537 y Fw(\))23 b(=)g Fx(p)p Fw(\()p Fx(h)p FA(j)p Fx(\022)r Fw(\))p Fx(p)p Fw(\()p Fx(\022)r FA(j)p Fx(q)s(;)14 b(\013)p Fw(\))p Fx(p)p Fw(\()p Fx(q)s FA(j)p Fx(\031)s(;)g(B)t Fw(\))707 1743 y(=)885 1639 y Fu(L)855 1664 y Fj(Y)855 1842 y Fu(l)p Fv(=1)999 1639 y Fu(K)976 1664 y Fj(Y)975 1841 y Fu(i)p Fv(=1)1096 1743 y Fx(C)6 b Fw(\()p Fx(\013)1246 1755 y Fu(i)1275 1743 y Fw(\))1307 1708 y Fu(q)1339 1683 y Fh(i)1337 1725 y(l)1425 1639 y Fv(4)1388 1664 y Fj(Y)1384 1841 y Fu(j)s Fv(=1)1499 1743 y Fw([)p Fx(\022)1561 1755 y Fu(l;j)1637 1743 y Fw(])1660 1665 y Ff(P)1730 1683 y Fh(K)1730 1727 y(i)p Fe(=1)1838 1708 y Fu(q)1870 1683 y Fh(i)1868 1725 y(l)1897 1708 y Fv(\()p Fu(\013)1966 1716 y Fh(i;j)2038 1708 y Fv(+)p Fu(h)2128 1680 y Fh(j)2128 1728 y(l)2159 1708 y Fg(\000)p Fv(1\))2312 1639 y Fu(K)2289 1664 y Fj(Y)2288 1841 y Fu(i)p Fv(=1)2396 1743 y Fw([)p Fx(\031)2466 1755 y Fu(i)2494 1743 y Fw(])2517 1708 y Fu(q)2549 1683 y Fh(i)2547 1725 y Fe(1)2597 1639 y Fu(L)p Fg(\000)p Fv(1)2610 1664 y Fj(Y)2610 1842 y Fu(l)p Fv(=1)2791 1639 y Fu(K)2768 1664 y Fj(Y)2742 1841 y Fu(i;j)s Fv(=1)2900 1743 y Fw([)p Fx(B)2986 1755 y Fu(i;j)3064 1743 y Fw(])3087 1707 y Fu(q)3119 1682 y Fh(i)3117 1723 y(l)3146 1707 y Fu(q)3178 1679 y Fh(j)3176 1727 y(l)p Fe(+1)3353 1743 y FB(\(3\))450 1990 y(The)23 b(major)f(role)h(of)g(HMDM)g(is)h(to)f (impose)g(dynamic)e(priors)i(for)f(modeling)g(data)h(whose)f(distrib)n (u-)450 2079 y(tions)i(e)o(xhibit)g(temporal)f(or)h(spatial)h (dependencies.)36 b(As)25 b(Figure)f(2\(b\))f(mak)o(es)h(clear)m(,)h (this)g(model)f(is)450 2169 y(not)17 b(a)g(simple)h(HMM)f(for)f (discrete)h(sequences.)23 b(In)17 b(such)g(a)h(model)e(the)h (transition)g(w)o(ould)f(be)h(between)450 2258 y(the)k(emission)g (models)f(\(i.e.,)h(multinomials\))e(themselv)o(es,)i(and)f(the)h (output)f(at)h(each)g(time)g(w)o(ould)g(be)450 2348 y(a)29 b(single)f(data)g(instance)g(in)h(the)f(sequence.)48 b(In)28 b(HMDM,)g(the)h(transitions)e(are)i(between)e(dif)n(ferent)450 2437 y(priors)d(of)h(the)g(emission)g(models,)g(and)f(the)h(direct)g (output)f(of)g(the)h(HMM)g(is)h(the)f(parameter)f(v)o(ector)450 2527 y(of)g(a)h(generati)n(v)o(e)e(model,)i(which)f(will)h(be)g (sampled)f(multiple)g(times)h(at)g(each)f(position)g(to)h(generate)450 2616 y(random)18 b(instances.)450 2722 y(This)24 b(approach)e(is)i (especially)g(useful)f(when)g(we)h(ha)n(v)o(e)g(either)f(empirical)g (or)g(learned)g(prior)g(kno)n(wl-)450 2812 y(edge)18 b(about)f(the)i(dynamics)e(of)h(the)h(data)f(to)h(be)f(modeled.)23 b(F)o(or)18 b(e)o(xample,)f(for)h(the)g(case)h(of)f(motifs,)h(bi-)450 2901 y(ological)e(e)n(vidence)g(sho)n(w)g(that)i(conserv)o(ed)c (positions)j(\(manifested)e(by)i(a)h(lo)n(w-entrop)o(y)c(multinomial) 450 2991 y(nt-distrib)n(ution\))26 b(are)j(lik)o(ely)f(to)h (concatenate,)g(and)f(maybe)f(so)i(do)g(the)f(less)i(conserv)o(ed)c (positions.)450 3080 y(Ho)n(we)n(v)o(er)m(,)j(it)h(is)f(unlik)o(ely)f (that)h(conserv)o(ed)e(and)h(less)i(conserv)o(ed)d(positions)i(are)f (interpolated)f([4].)450 3170 y(This)20 b(is)h(called)g Ft(site)g(clustering)p FB(,)e(and)h(is)h(one)f(of)f(the)i(main)e(moti)n (v)n(ations)g(for)h(the)g(HMDM)g(model.)450 3401 y Fy(4)99 b(Infer)n(ence)27 b(and)f(Lear)o(ning)450 3579 y FC(4.1)82 b(V)-8 b(ariational)19 b(Bay)o(esian)h(Lear)o(ning)450 3725 y FB(In)g(order)e(to)i(do)g(Bayesian)g(estimation)f(of)h(the)g (motif)f(parameter)g Fx(\022)r FB(,)h(and)g(to)g(predict)f(the)h (locations)f(of)450 3815 y(motif)c(instances)h(via)f Fx(x)p FB(,)j(we)e(need)f(to)g(be)h(able)f(to)h(compute)e(the)i (posterior)e(distrib)n(ution)h Fx(p)p Fw(\()p Fx(\022)r FA(j)p Fx(y)s Fw(\))p FB(,)i(which)450 3904 y(is)k(infeasible)f(in)g(a) h(comple)o(x)e(motif)h(model.)k(Thus)c(we)h(turn)e(to)i(v)n(ariational) e(approximation)e([5)o(].)25 b(W)-7 b(e)450 3994 y(seek)24 b(to)h(approximate)c(the)k(joint)f(posterior)e(o)o(v)o(er)h(parameters) g(and)h(hidden)f(states)i Fx(p)p Fw(\()p Fx(\022)r(;)14 b(q)s(;)g(x)p FA(j)p Fx(y)s(;)g FA(M)p Fw(\))450 4083 y FB(with)19 b(a)h(simpler)f(distrib)n(ution)f Fx(Q)p Fw(\()p Fx(\022)r(;)c(q)s(;)g(x)p Fw(\))24 b(=)f Fx(Q)1854 4095 y Fu(\022)r(;q)1943 4083 y Fw(\()p Fx(\022)r(;)14 b(q)s Fw(\))p Fx(Q)2191 4095 y Fu(x)2233 4083 y Fw(\()p Fx(x)p Fw(\))p FB(,)21 b(where)e Fx(Q)2675 4095 y Fu(\022)r(;q)2784 4083 y FB(and)g Fx(Q)2990 4095 y Fu(\022)r(;q)3099 4083 y FB(can)g(be,)g(for)450 4173 y(the)i(time)h(being,)e(thought)g(of)h (as)h(free)f(distrib)n(utions)g(to)g(be)h(optimized.)27 b(Using)21 b(Jensen')-5 b(s)22 b(inequality)-5 b(,)450 4262 y(we)21 b(ha)n(v)o(e)e(the)h(follo)n(wing)f(lo)n(wer)h(found)e(on) i(the)g(log)g(lik)o(elihood:)549 4457 y Fw(ln)14 b Fx(p)p Fw(\()p Fx(y)s FA(jM)p Fw(\))83 b FA(\025)1136 4344 y Fj(Z)1233 4457 y Fx(d\022)r(dq)s(Q)1466 4469 y Fu(\022)r(;q)1556 4457 y Fw(\()p Fx(\022)r(;)14 b(q)s Fw(\))1738 4340 y Fj(\024)1796 4344 y(Z)1893 4457 y Fx(dxQ)2049 4469 y Fu(x)2091 4457 y Fw(\()p Fx(x)p Fw(\))g(ln)2310 4401 y Fx(p)p Fw(\()p Fx(y)s(;)g(x)p FA(j)p Fx(\022)r(;)g FA(M)p Fw(\))p 2310 4438 436 4 v 2418 4514 a Fx(Q)2484 4526 y Fu(x)2525 4514 y Fw(\()p Fx(x)p Fw(\))2774 4457 y(+)k(ln)2950 4401 y Fx(p)p Fw(\()p Fx(\022)r(;)c(q)s FA(jM)p Fw(\))p 2950 4438 348 4 v 2955 4514 a Fx(Q)3021 4526 y Fu(\022)r(;q)3110 4514 y Fw(\()p Fx(\022)r(;)g(q)s Fw(\))3307 4340 y Fj(\025)3353 4457 y FB(\(4\))988 4633 y Fw(=)83 b FA(\000)p FB(KL)o Fw(\()p Fx(Q)p Fw(\()p Fx(\022)r(;)14 b(q)s(;)g(x)p Fw(\))p FA(k)p Fx(p)p Fw(\()p Fx(\022)r(;)g(q)s(;)g(x)p FA(j)p Fx(y)s(;)g FA(M)p Fw(\)\))19 b(+)f Fx(C)q(:)450 4771 y FB(Thus,)j(maximizing)e(the)i(lo)n(wer)g (bound)e(of)i(the)g(log)g(lik)o(elihood)f(\(call)h(it)h FA(B)s Fw(\()p Fx(Q)2731 4783 y Fu(x)2772 4771 y Fx(;)14 b(Q)2875 4783 y Fu(\022)r(;q)2964 4771 y Fw(\))p FB(\))22 b(with)f(respect)450 4861 y(to)j(free)f(distrib)n(utions)g Fx(Q)1196 4873 y Fu(x)1262 4861 y FB(and)h Fx(Q)1473 4873 y Fu(\022)r(;q)1586 4861 y FB(is)h(equi)n(v)n(alent)d(to)i (minimizing)f(the)g(KL)i(di)n(v)o(er)o(gence)20 b(between)450 4950 y(the)i(true)g(joint)f(posterior)g(and)g(its)i(v)n(ariational)e (approximation.)27 b(K)n(eeping)20 b(either)i Fx(Q)2952 4962 y Fu(x)3016 4950 y FB(or)f Fx(Q)3173 4962 y Fu(\022)r(;q)3285 4950 y FB(\002x)o(ed)p eop %%Page: 5 5 5 4 bop 450 83 a FB(and)20 b(maximizing)e FA(B)s Fw(\()p FA(\001)p Fw(\))j FB(with)f(respect)g(to)g(the)g(other)m(,)f(we)i (obtain)e(the)h(follo)n(wing)f(coupled)f(updates:)1195 200 y Fx(Q)1261 165 y Fg(\003)1261 220 y Fu(x)1303 200 y Fw(\()p Fx(x)p Fw(\))84 b FA(/)e Fw(exp)14 b FA(h)p Fw(ln)g Fx(p)p Fw(\()p Fx(y)s(;)g(x)p FA(j)p Fx(\022)r(;)g FA(M)p Fw(\))p FA(i)2369 224 y Fu(Q)2421 233 y Fh(\022)q(;q)3353 200 y FB(\(5\))1076 337 y Fx(Q)1142 303 y Fg(\003)1142 357 y Fu(\022)r(;q)1232 337 y Fw(\()p Fx(\022)r(;)g(q)s Fw(\))84 b FA(/)e Fx(p)p Fw(\()p Fx(\022)r(;)14 b(q)s FA(jM)p Fw(\))g(exp)g FA(h)p Fw(ln)g Fx(p)p Fw(\()p Fx(y)s(;)g(x)p FA(j)p Fx(\022)r(;)g FA(M)p Fw(\))p FA(i)2730 362 y Fu(Q)2782 370 y Fh(x)3353 337 y FB(\(6\))450 482 y(In)21 b(our)f(motif)h(model,)f (the)h(prior)f(and)h(the)g(conditional)e(submodels)h(form)g(a)h Ft(conjugate-e)n(xponential)450 571 y FB(pair)j (\(Dirichlet-Multinomial\).)34 b(It)25 b(can)f(be)g(sho)n(wn)g(that)g (in)h(this)g(case)f(we)h(can)f(essentially)h(reco)o(v)o(er)450 661 y(the)30 b(same)g(form)e(of)i(the)f(original)g(conditional)f(and)h (prior)g(distrib)n(utions)f(in)i(their)g(v)n(ariational)e(ap-)450 750 y(proximations)16 b(e)o(xcept)i(that)h(the)g(parameterization)d(is) k(augmented)c(with)j(appropriate)d(Bayesian)j(and)450 840 y(posterior)g(updates,)g(respecti)n(v)o(ely:)1041 956 y Fx(Q)1107 968 y Fu(x)1149 956 y Fw(\()p Fx(x)p Fw(\))84 b(=)e Fx(p)p Fw(\()p Fx(x;)14 b(y)s FA(j)1727 935 y Fw(\026)1716 956 y Fx(\036)q Fw(\()p Fx(\022)r Fw(\))p Fx(;)g FA(M)p Fw(\))24 b(=)e Fx(p)p Fw(\()p Fx(y)s FA(j)p Fx(x;)2388 935 y Fw(\026)2376 956 y Fx(\036)q Fw(\()p Fx(\022)r Fw(\))p Fx(;)14 b FA(M)p Fw(\))p Fx(p)p Fw(\()p Fx(x)p FA(jM)p Fw(\))377 b FB(\(7\))923 1079 y Fx(Q)989 1091 y Fu(\022)r(;q)1078 1079 y Fw(\()p Fx(\022)r(;)14 b(q)s Fw(\))84 b(=)e Fx(p)p Fw(\()p Fx(\022)r(;)14 b(q)s FA(j)p Fx(\013;)1798 1058 y Fw(\026)1796 1079 y Fx(h)q Fw(\()p Fx(x;)g(y)s Fw(\))p Fx(;)g FA(M)p Fw(\))1147 b FB(\(8\))450 1208 y(where)684 1186 y Fw(\026)674 1208 y Fx(\036)p Fw(\()p Fx(\022)r Fw(\))24 b(=)f FA(h)p Fx(\036)p Fw(\()p Fx(\022)r Fw(\))p FA(i)1159 1233 y Fu(Q)1211 1242 y Fh(\022)q(;q)1318 1208 y FB(\()p Fx(\036)p Fw(\()p FA(\001)p Fw(\))f FB(is)f(the)f(natural)f(parameter\))g(and)2475 1186 y Fw(\026)2474 1208 y Fx(h)p Fw(\()p Fx(x;)14 b(y)s Fw(\))24 b(=)e FA(h)p Fx(h)p Fw(\()p Fx(x;)14 b(y)s Fw(\))p FA(i)3130 1233 y Fu(Q)3182 1241 y Fh(x)3224 1208 y FB(.)450 1331 y(As)20 b(Eqs.)e(7)h(and)f(8)h(mak)o(e)g(clear)m(,)f(the)h (locality)f(of)h(inference)e(and)h(mar)o(ginalization)e(on)j(the)f (latent)h(v)n(ari-)450 1420 y(ables)h(is)g(preserv)o(ed)e(in)i(the)f(v) 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y(distrib)n(ution)26 b(model)f(\(we)i(will)h(handle)e(this)h(later)m(,)h(thanks)e(to)h(the)g (locality)f(preserv)n(ation)f(property)450 2360 y(of)f(inference)f(in)i (v)n(ariational)e(approximations\),)g(and)h(proceed)f(with)h(the)h (inference)e(as)i(if)g(we)g(ha)n(v)o(e)450 2449 y(\223observ)n (ations\224)18 b FA(h)p Fx(h)p FA(i)p FB(.)26 b(Inte)o(grating)18 b(o)o(v)o(er)h Fx(\022)r FB(,)h(we)h(ha)n(v)o(e)f(the)g(mar)o(ginal)e (distrib)n(ution:)1105 2657 y Fx(p)p Fw(\()p Fx(q)s(;)c FA(h)p Fx(h)p FA(i)p Fw(\))84 b(=)e Fx(p)p Fw(\()p Fx(q)1742 2669 y Fv(1)1779 2657 y Fw(\))1825 2553 y Fu(L)p Fg(\000)p Fv(1)1838 2578 y Fj(Y)1838 2757 y Fu(l)p Fv(=1)1970 2657 y Fx(p)p Fw(\()p Fx(q)2081 2669 y Fu(l)p Fv(+1)2191 2657 y FA(j)p Fx(q)2251 2669 y Fu(l)2276 2657 y Fw(\))2353 2553 y Fu(L)2322 2578 y Fj(Y)2323 2757 y Fu(l)p Fv(=1)2442 2657 y Fx(p)p Fw(\()p FA(h)p Fx(h)2596 2669 y Fu(l)2622 2657 y FA(ij)p Fx(q)2714 2669 y Fu(l)2740 2657 y Fw(\))p Fx(;)558 b FB(\(9\))450 2857 y(a)21 b(standard)e(HMM)h(with)g(emission) g(probability:)1039 3044 y Fo(p)p Fn(\()p Fp(h)p Fo(h)1182 3053 y Fm(l)1206 3044 y Fp(ij)p Fo(q)1294 3008 y Fm(i)1291 3058 y(l)1342 3044 y Fn(=)h(1\))83 b(=)1859 2996 y(\000\()p Fp(j)r Fo(~)-40 b(\013)2007 3004 y Fm(i)2034 2996 y Fp(j)p Fn(\))p 1727 3027 491 4 v 1727 3095 a(\000\()p Fp(jh)p Fo(h)1900 3104 y Fm(l)1924 3095 y Fp(ij)18 b Fn(+)e Fp(j)r Fo(~)-40 b(\013)2139 3103 y Fm(i)2166 3095 y Fp(j)p Fn(\))2278 2951 y Fd(4)2244 2973 y Fc(Y)2240 3131 y Fm(j)s Fd(=1)2368 2993 y Fn(\000\()p Fp(h)p Fo(h)2520 2958 y Fm(j)2520 3015 y(l)2553 2993 y Fp(i)17 b Fn(+)g Fo(\013)2726 3001 y Fm(i;j)2800 2993 y Fn(\))p 2368 3027 461 4 v 2484 3095 a(\000\()p Fo(\013)2611 3103 y Fm(i;j)2684 3095 y Fn(\))2839 3044 y Fo(:)466 b Fq(\(10\))450 3290 y FB(W)-7 b(e)25 b(can)e(compute)f(the)h(posterior)g(probability)e(of)i(the)h(hidden)e (states)i Fx(p)p Fw(\()p Fx(q)2653 3302 y Fu(l)2679 3290 y FA(jh)p Fx(h)p FA(i)p Fw(\))h FB(and)e(the)g(matrix)g(of)450 3380 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4845 y Fw(\()p Fx(t)p Fw(\))p Fx(\016)s Fw(\()p Fx(y)2383 4802 y Fv(\()p Fu(n)p Fv(\))2380 4870 y Fu(t)p Fv(+)p Fu(l)p Fg(\000)p Fv(1)2567 4845 y Fx(;)14 b(j)5 b Fw(\))p Fx(;)614 b FB(\(12\))p eop %%Page: 6 6 6 5 bop 536 136 a FB(where)73 b Fo(Q)874 100 y Fd(\()p Fm(n)p Fd(\))964 136 y Fn(\()p Fo(t)p Fn(\))21 b Fp(/)1154 42 y Fm(L)p Fa(\000)p Fd(1)1166 65 y Fc(Y)1166 224 y Fm(l)p Fd(=0)1325 43 y(4)1291 65 y Fc(Y)1288 223 y Fm(j)s Fd(=1)1406 53 y Fc(h)1464 68 y Fn(\026)1457 88 y Fo(\022)1493 97 y Fm(l;j)p 1452 119 118 4 v 1452 187 a Fo(\022)1488 195 y Fd(0)p Fm(;j)1580 53 y Fc(i)1616 71 y Fh(\016)q Fe(\()p Fh(y)1697 46 y Fe(\()p Fh(n)p Fe(\))1696 93 y Fh(t)p Fe(+)p Fh(l)1788 71 y(;j)r Fe(\))1882 136 y Fn(=)g(exp)2093 53 y Fc(n)2157 42 y Fm(L)p Fa(\000)p Fd(1)2162 65 y Fc(X)2168 224 y Fm(l)p Fd(=0)2330 43 y(4)2290 65 y Fc(X)2293 223 y Fm(j)s Fd(=1)2414 136 y Fo(\016)s Fn(\()p Fo(y)2522 98 y Fd(\()p Fm(n)p Fd(\))2519 157 y Fm(t)p Fd(+)p Fm(l)2613 136 y Fo(;)13 b(j)t Fn(\))2712 76 y Fc(\000)2758 116 y Fn(\026)2748 136 y Fo(\036)o Fn(\()p Fo(\022)2859 145 y Fm(l;j)2931 136 y Fn(\))k Fp(\000)f Fo(\036)p Fn(\()p Fo(\022)3166 144 y Fd(0)p Fm(;j)3248 136 y Fn(\))3278 76 y Fc(\001)3313 53 y(o)3326 306 y Fq(\(13\))473 416 y FB(Bayesian)21 b(estimates)i(of)f(the)g(multinomial)e(parameters)h (for)g(the)h(position-speci\002c)f(nt-distrib)n(ution)450 506 y(of)f(the)g(motif)g(are)g(obtained)f(via)h(\002x)o(ed-point)e (iteration)h(under)g(the)h(follo)n(wing)f(EM-lik)o(e)g(procedure:)666 642 y FA(\017)41 b FC(V)-8 b(ariational)26 b(E)j(step)p FB(:)41 b(Compute)27 b(the)h(e)o(xpected)e(suf)n(\002cient)h (statistic,)k(the)c(count)g(matrix)749 731 y FA(h)p Fx(h)p FA(i)p FB(,)21 b(via)f(inference)f(in)h(the)g(global)f(motif)h(model)f (gi)n(v)o(en)2432 709 y Fw(\026)2421 731 y Fx(\036)q Fw(\()p Fx(\022)2542 743 y Fu(l;j)2618 731 y Fw(\))p FB(.)666 864 y FA(\017)41 b FC(V)-8 b(ariational)25 b(M)j(step)p FB(:)38 b(Compute)26 b(the)h(e)o(xpected)e(natural)g(parameter)2893 842 y Fw(\026)2882 864 y Fx(\036)q Fw(\()p Fx(\022)3003 876 y Fu(l;j)3079 864 y Fw(\))j FB(via)e(infer)n(-)749 953 y(ence)20 b(in)g(the)g(local)g(motif)g(alignment)f(model)g(gi)n(v)o (en)g FA(h)p Fx(h)p FA(i)p FB(.)450 1089 y(This)29 b(basic)f(inference) f(and)h(learning)f(procedure)f(pro)o(vides)h(a)i(frame)n(w)o(ork)d (that)j(scales)g(readily)e(to)450 1178 y(more)21 b(comple)o(x)f (models.)30 b(F)o(or)21 b(e)o(xample,)g(the)h(motif)f(distrib)n(ution)g (model)g Fx(p)p Fw(\()p Fx(x)p Fw(\))i FB(can)f(be)g(made)f(more)450 1268 y(sophisticated)31 b(so)h(as)h(to)f(model)f(comple)o(x)f (properties)h(of)g(multiple)g(motifs)h(such)g(as)g(motif-le)n(v)o(el) 450 1357 y(dependencies)20 b(\(e.g.,)h(co-occurrence,)e(o)o(v)o(erlaps) i(and)g(concentration)f(within)h(re)o(gulatory)f(modules\))450 1447 y(without)c(complicating)f(the)h(inference)g(in)g(the)h(local)g (alignment)e(model.)23 b(Similarly)-5 b(,)16 b(the)h(motif)f(align-)450 1536 y(ment)23 b(model)g(can)h(also)g(be)g(more)f(e)o(xpressi)n(v)o(e)f 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%%BeginDocument: newplots/f3a.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/GeneNet/results/newplots/f3a.eps %%CreationDate: 06/30/2002 02:51:09 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 52 341 543 600 %%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 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Helvetica /Helvetica /ISOLatin1Encoding 192 FMSR 601 2866 mt -90 rotate (Posterior Dirichlet parameters ) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1179 w @beginspecial 84 @llx 476 @lly 187 @urx 594 @ury 360 @rwi @setspecial %%BeginDocument: newplots/fig_trans.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/GeneNet/results/fig_trans.eps %%CreationDate: 06/25/2002 19:42:48 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 84 476 187 594 %%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: 84 476 187 594 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 798 211 1231 1410 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 6917 3457 PR 6 w 0 -1189 1080 0 0 1189 899 259 4 MP PP -1080 0 0 -1189 1080 0 0 1189 899 259 5 MP stroke gs 899 259 1081 1190 MR c np gs np 899 259 mt 0 1189 rl 1080 0 rl 0 -1189 rl cp c np [1080 0 0 1189 899 259] cc /picstr 24 string def 8 8 8 [8.000000 0 0 8.000000 0 0] {currentfile picstr readhexstring pop} false 3 colorimage 0FFFFF4FFFBF0000AF00008F0000AF00008F00008F0000EF0000DF00DFFF0000DF5FFFAF00008F00 008F00008F0000AF0000FF007FFF00DFFF000FFF00008F00008F00008F002FFF00008F009FFF004F FF6FFF9F00008F0000AF00008F00008F3FFFCF00008FCFFF3F00008F00008F00008F00008F00008F 00008F00008F8F000000008F00008F00008F00008F00008F00AFFF00008F00008F00008F0000EF00 008F00008FEFFF1F00008F00008F00008F00008F00008F00008FFFCF0000CFFF gr gr 4 w DO SO 6 w 0 sg 899 259 mt 1979 259 L 899 1448 mt 1979 1448 L 899 259 mt 899 1448 L 1979 259 mt 1979 1448 L 899 1448 mt 1979 1448 L 899 259 mt 899 1448 L 1101 1448 mt 1101 1436 L 1101 259 mt 1101 270 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 1068 1593 mt (2) s 1371 1448 mt 1371 1436 L 1371 259 mt 1371 270 L 1338 1593 mt (4) s 1641 1448 mt 1641 1436 L 1641 259 mt 1641 270 L 1608 1593 mt (6) s 1911 1448 mt 1911 1436 L 1911 259 mt 1911 270 L 1878 1593 mt (8) s 899 481 mt 910 481 L 1979 481 mt 1967 481 L 798 525 mt (2) s 899 779 mt 910 779 L 1979 779 mt 1967 779 L 798 823 mt (4) s 899 1076 mt 910 1076 L 1979 1076 mt 1967 1076 L 798 1120 mt (6) s 899 1373 mt 910 1373 L 1979 1373 mt 1967 1373 L 798 1417 mt (8) s 899 259 mt 1979 259 L 899 1448 mt 1979 1448 L 899 259 mt 899 1448 L 1979 259 mt 1979 1448 L end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 400 w @beginspecial 61 @llx 464 @lly 543 @urx 611 @ury 1800 @rwi @setspecial %%BeginDocument: newplots/f3c.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/GeneNet/results/newplots/f3c1.eps %%CreationDate: 06/30/2002 15:10:54 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 61 464 543 611 %%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: 61 464 543 611 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 527 5 5782 1760 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 6917 3457 PR 6 w 0 1189 1080 0 0 -1189 3752 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 3752 1448 5 MP stroke 4 w DO SO 6 w 0 sg 3752 1448 mt 4832 1448 L 3752 259 mt 4832 259 L 3752 1448 mt 3752 259 L 4832 1448 mt 4832 259 L 3752 1448 mt 4832 1448 L 3752 1448 mt 3752 259 L 4022 1448 mt 4022 1436 L 4022 259 mt 4022 270 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 3989 1593 mt (1) s 4562 1448 mt 4562 1436 L 4562 259 mt 4562 270 L 4529 1593 mt (2) s 3752 1393 mt 3763 1393 L 4832 1393 mt 4820 1393 L 3651 1437 mt (0) s 3752 1177 mt 3763 1177 L 4832 1177 mt 4820 1177 L 3551 1221 mt (0.2) s 3752 961 mt 3763 961 L 4832 961 mt 4820 961 L 3551 1005 mt (0.4) s 3752 745 mt 3763 745 L 4832 745 mt 4820 745 L 3551 789 mt (0.6) s 3752 529 mt 3763 529 L 4832 529 mt 4820 529 L 3551 573 mt (0.8) s 3752 313 mt 3763 313 L 4832 313 mt 4820 313 L 3651 357 mt (1) s 3752 1448 mt 4832 1448 L 3752 259 mt 4832 259 L 3752 1448 mt 3752 259 L 4832 1448 mt 4832 259 L 4061 164 mt (gal4 \(hit\)) s 3496 871 mt -90 rotate ( ) s 90 rotate 4274 1736 mt ( ) s gs 3752 259 1081 1190 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 4022 313 PD 4022 544 PD SO 0 sg 81 0 3981 544 2 MP stroke 81 0 3981 313 2 MP stroke c8 40 -51 0 -103 -162 0 0 103 41 51 -41 52 0 25 162 0 0 -25 -40 -52 3981 390 11 MP stroke /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 81 0 3981 390 2 MP stroke gr c9 3986 1393 mt 4058 1393 L 4022 1357 mt 4022 1429 L gs 3752 259 1081 1190 MR c np DA c8 0 -309 4562 699 2 MP stroke 4562 1393 PD SO 0 sg 81 0 4521 1393 2 MP stroke 81 0 4521 390 2 MP stroke c8 40 -77 -162 0 41 77 -41 154 0 463 162 0 0 -463 -40 -154 4521 1316 9 MP stroke c9 81 0 4521 1316 2 MP stroke gr 24 W 4562 1393 PD gs 3752 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 5179 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 5179 1448 5 MP stroke 4 w DO SO 6 w 0 sg 5179 1448 mt 6259 1448 L 5179 259 mt 6259 259 L 5179 1448 mt 5179 259 L 6259 1448 mt 6259 259 L 5179 1448 mt 6259 1448 L 5179 1448 mt 5179 259 L 5449 1448 mt 5449 1436 L 5449 259 mt 5449 270 L 5416 1593 mt (1) s 5989 1448 mt 5989 1436 L 5989 259 mt 5989 270 L 5956 1593 mt (2) s 5179 1393 mt 5190 1393 L 6259 1393 mt 6247 1393 L 5078 1437 mt (0) s 5179 1177 mt 5190 1177 L 6259 1177 mt 6247 1177 L 4978 1221 mt (0.2) s 5179 961 mt 5190 961 L 6259 961 mt 6247 961 L 4978 1005 mt (0.4) s 5179 745 mt 5190 745 L 6259 745 mt 6247 745 L 4978 789 mt (0.6) s 5179 529 mt 5190 529 L 6259 529 mt 6247 529 L 4978 573 mt (0.8) s 5179 313 mt 5190 313 L 6259 313 mt 6247 313 L 5078 357 mt (1) s 5179 1448 mt 6259 1448 L 5179 259 mt 6259 259 L 5179 1448 mt 5179 259 L 6259 1448 mt 6259 259 L 5360 164 mt (gal4 \(mis-hit\)) s 4923 871 mt -90 rotate ( ) s 90 rotate 5701 1736 mt ( ) s gs 5179 259 1081 1190 MR c np DA c8 5449 1316 PD 5449 1393 PD SO 0 sg 81 0 5408 1393 2 MP stroke 81 0 5408 1316 2 MP stroke c8 40 0 -162 0 41 0 -41 17 0 60 162 0 0 -60 -40 -17 5408 1393 9 MP stroke c9 81 0 5408 1393 2 MP stroke gr c9 5413 390 mt 5485 390 L 5449 354 mt 5449 426 L 5413 776 mt 5485 776 L 5449 740 mt 5449 812 L 5413 699 mt 5485 699 L 5449 663 mt 5449 735 L 5413 390 mt 5485 390 L 5449 354 mt 5449 426 L 5413 313 mt 5485 313 L 5449 277 mt 5449 349 L 5413 390 mt 5485 390 L 5449 354 mt 5449 426 L 5413 467 mt 5485 467 L 5449 431 mt 5449 503 L gs 5179 259 1081 1190 MR c np DA c8 0 -463 5989 853 2 MP stroke 5989 1393 PD SO 0 sg 81 0 5948 1393 2 MP stroke 81 0 5948 390 2 MP stroke c8 40 -120 0 -34 -162 0 0 34 41 120 -41 120 0 266 162 0 0 -266 -40 -120 5948 1239 11 MP stroke c9 81 0 5948 1239 2 MP stroke gr 24 W 5989 1393 PD gs 5179 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 899 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 899 1448 5 MP stroke 4 w DO SO 6 w 0 sg 899 1448 mt 1979 1448 L 899 259 mt 1979 259 L 899 1448 mt 899 259 L 1979 1448 mt 1979 259 L 899 1448 mt 1979 1448 L 899 1448 mt 899 259 L 1169 1448 mt 1169 1436 L 1169 259 mt 1169 270 L 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2125 573 mt (0.8) s 2326 313 mt 2337 313 L 3406 313 mt 3394 313 L 2225 357 mt (1) s 2326 1448 mt 3406 1448 L 2326 259 mt 3406 259 L 2326 1448 mt 2326 259 L 3406 1448 mt 3406 259 L 2504 164 mt (abf1 \(mis-hit\)) s 2070 871 mt -90 rotate ( ) s 90 rotate 2848 1736 mt ( ) s gs 2326 259 1081 1190 MR c np DA c8 2596 1393 PD 2596 1393 PD SO 0 sg 81 0 2555 1393 2 MP stroke 81 0 2555 1393 2 MP stroke c8 40 0 -162 0 41 0 -41 0 162 0 -40 0 2555 1393 7 MP stroke c9 81 0 2555 1393 2 MP stroke gr c9 2560 1342 mt 2632 1342 L 2596 1306 mt 2596 1378 L 2560 621 mt 2632 621 L 2596 585 mt 2596 657 L 2560 570 mt 2632 570 L 2596 534 mt 2596 606 L 2560 518 mt 2632 518 L 2596 482 mt 2596 554 L gs 2326 259 1081 1190 MR c np DA c8 0 -103 3136 621 2 MP stroke 3136 1393 PD SO 0 sg 81 0 3095 1393 2 MP stroke 81 0 3095 518 2 MP stroke c8 40 -196 0 -318 -162 0 0 318 41 196 -41 197 0 61 162 0 0 -61 -40 -197 3095 879 11 MP stroke c9 81 0 3095 879 2 MP stroke gr 24 W 3136 1393 PD gs 2326 259 1081 1190 MR c np gr end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 883 4433 a Fq(\(a\))694 b(\(b\))925 b(\(c\))450 4537 y FB(Figure)17 b(3:)23 b Fq(\(a\))16 b(Dirichlet)g (hyperparameters.)24 b(\(b\))16 b(Mark)o(o)o(v)i(transition)e(matrix.) 22 b(\(c\))16 b(Boxplots)h(of)f(hit)g(and)h(mishit)450 4618 y(rate)i(of)g(HMDM\(1\))g(and)h(PM\(2\))e(on)i(tw)o(o)f(motifs)g (used)g(during)h(HMDM)f(training.)450 4771 y FB(Are)24 b(the)h(motif)f(properties)f(captured)f(in)j(HMDM)f(useful)g(in)h (motif)f(detection?)36 b(W)-7 b(e)26 b(\002rst)f(e)o(xamine)450 4861 y(an)18 b(HMDM)h(trained)e(on)h(the)g(complete)g(dataset)g(for)g (its)h(ability)f(to)h(detect)f(motifs)g(used)g(in)g(training)f(in)450 4950 y(the)22 b(presence)f(of)h(a)h(\223deco)o(y\224:)k(a)c(permuted)d (motif.)30 b(By)23 b(randomly)d(permuting)g(the)i(positions)f(in)i(the) p eop %%Page: 7 7 7 6 bop 450 83 a FB(motif,)20 b(the)h(shapes)g(of)f(the)h (\223U-shaped\224)e(motifs)h(\(e.g.,)g Ft(abf1)g FB(and)g Ft(gal4)p FB(\))g(change)f(dramatically)-5 b(.)3283 53 y Fr(2)3341 83 y FB(W)e(e)450 173 y(insert)19 b(each)g(instance)g(of)g (motif/deco)o(y)e(pair)i(into)g(a)h(300-500)c(bp)j(random)e(background) f(sequence)i(at)450 262 y(random)h(position)h Fx(b)i FB(and)e Fx(b)1249 232 y Fg(0)1272 262 y FB(.)1293 232 y Fr(3)1354 262 y FB(W)-7 b(e)23 b(allo)n(w)e(a)g FA(\006)p FB(3)g(bp)f(of)n(fset)h(as)h(a)f(tolerance)f(windo)n(w)-5 b(,)20 b(and)g(score)h(a)g Ft(hit)450 352 y FB(when)e Fx(b)e FA(\000)g Fw(3)22 b FA(\024)h Fx(a)g FA(\024)g Fx(b)16 b Fw(+)h(3)j FB(\(and)f(a)h Ft(mis-hit)g FB(when)f Fx(b)2000 321 y Fg(0)2041 352 y FA(\000)d Fw(3)23 b FA(\024)f Fx(a)h FA(\024)g Fx(b)2465 321 y Fg(0)2505 352 y Fw(+)17 b(3)p FB(\),)i(where)g Fx(a)i FB(is)g(the)e(position)450 441 y(where)h(a)g(motif)g(instance)g(is)h(found.)i(The)d(\(mis\)hit)f (rate)i(is)g(the)f(proportion)d(of)j(\(mis\)hits)g(to)g(the)g(total)450 531 y(number)c(of)i(motif)f(instances)h(to)g(be)g(found)f(in)h(an)g(e)o (xperiment.)k(Figure)17 b(3\(c\))g(sho)n(ws)h(a)h(boxplot)d(of)i(the) 450 620 y(hit)23 b(and)g(mishit)g(rate)g(of)g(HMDM)g(on)g Ft(abf1)f FB(and)h Ft(gal4)f FB(o)o(v)o(er)g(50)g(randomly)f(generated) h(e)o(xperiments.)450 710 y(Note)e(the)h(dramatic)e(contrast)h(of)g (the)g(sensiti)n(vity)g(of)g(the)h(HMDM)f(to)h(true)f(motifs)g (compared)e(to)i(that)450 799 y(of)g(the)g(PM)h(model)e(\(which)g(is)j (essentially)e(the)g(MEME)g(model\).)379 1731 y @beginspecial 61 @llx 329 @lly 543 @urx 611 @ury 1800 @rwi @setspecial %%BeginDocument: newplots/f4a.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/GeneNet/results/newplots/f4a.eps %%CreationDate: 06/30/2002 02:38:04 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 61 329 543 611 %%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: 61 329 543 611 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 527 5 5783 3388 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 3457 PR 6 w 0 1189 1080 0 0 -1189 899 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 899 1448 5 MP stroke 4 w DO SO 6 w 0 sg 899 1448 mt 1979 1448 L 899 259 mt 1979 259 L 899 1448 mt 899 259 L 1979 1448 mt 1979 259 L 899 1448 mt 1979 1448 L 899 1448 mt 899 259 L 1034 1448 mt 1034 1436 L 1034 259 mt 1034 270 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 1001 1593 mt (1) s 1304 1448 mt 1304 1436 L 1304 259 mt 1304 270 L 1271 1593 mt (2) s 1574 1448 mt 1574 1436 L 1574 259 mt 1574 270 L 1541 1593 mt (3) s 1844 1448 mt 1844 1436 L 1844 259 mt 1844 270 L 1811 1593 mt (4) s 899 1393 mt 910 1393 L 1979 1393 mt 1967 1393 L 798 1437 mt (0) s 899 1177 mt 910 1177 L 1979 1177 mt 1967 1177 L 698 1221 mt (0.2) s 899 961 mt 910 961 L 1979 961 mt 1967 961 L 698 1005 mt (0.4) s 899 745 mt 910 745 L 1979 745 mt 1967 745 L 698 789 mt (0.6) s 899 529 mt 910 529 L 1979 529 mt 1967 529 L 698 573 mt (0.8) s 899 313 mt 910 313 L 1979 313 mt 1967 313 L 798 357 mt (1) s 899 1448 mt 1979 1448 L 899 259 mt 1979 259 L 899 1448 mt 899 259 L 1979 1448 mt 1979 259 L 1322 164 mt (abf1) s 643 871 mt -90 rotate ( ) s 90 rotate 1421 1736 mt ( ) s gs 899 259 1081 1190 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 1034 467 PD 0 -206 1034 879 2 MP stroke SO 0 sg 67 0 1000 879 2 MP stroke 67 0 1000 467 2 MP stroke c8 34 -41 0 -114 -135 0 0 114 34 41 -34 41 0 10 135 0 0 -10 -34 -41 1000 518 11 MP stroke /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 67 0 1000 518 2 MP stroke gr c9 998 982 mt 1070 982 L 1034 946 mt 1034 1018 L 998 1393 mt 1070 1393 L 1034 1357 mt 1034 1429 L gs 899 259 1081 1190 MR c np DA c8 1304 467 PD 0 -52 1304 570 2 MP stroke SO 0 sg 67 0 1270 570 2 MP stroke 67 0 1270 467 2 MP stroke c8 34 -10 0 -41 -135 0 0 41 34 10 -34 0 135 0 -34 0 1270 467 9 MP stroke c9 67 0 1270 467 2 MP stroke gr 24 W 1304 570 PD gs 899 259 1081 1190 MR c np DA c8 1574 467 PD 0 -52 1574 570 2 MP stroke SO 0 sg 67 0 1540 570 2 MP stroke 67 0 1540 467 2 MP stroke c8 34 -10 0 -15 -135 0 0 15 34 10 -34 11 0 15 135 0 0 -15 -34 -11 1540 493 11 MP stroke c9 67 0 1540 493 2 MP stroke gr 1538 1342 mt 1610 1342 L 1574 1306 mt 1574 1378 L 1538 621 mt 1610 621 L 1574 585 mt 1574 657 L 1538 1393 mt 1610 1393 L 1574 1357 mt 1574 1429 L gs 899 259 1081 1190 MR c np DA c8 0 -103 1844 621 2 MP stroke 0 -205 1844 1393 2 MP stroke SO 0 sg 67 0 1810 1393 2 MP stroke 67 0 1810 518 2 MP stroke c8 34 -113 0 -248 -135 0 0 248 34 113 -34 113 0 93 135 0 0 -93 -34 -113 1810 827 11 MP stroke c9 67 0 1810 827 2 MP stroke gr 24 W 1844 1393 PD gs 899 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 2326 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 2326 1448 5 MP stroke 4 w DO SO 6 w 0 sg 2326 1448 mt 3406 1448 L 2326 259 mt 3406 259 L 2326 1448 mt 2326 259 L 3406 1448 mt 3406 259 L 2326 1448 mt 3406 1448 L 2326 1448 mt 2326 259 L 2461 1448 mt 2461 1436 L 2461 259 mt 2461 270 L 2428 1593 mt (1) s 2731 1448 mt 2731 1436 L 2731 259 mt 2731 270 L 2698 1593 mt (2) s 3001 1448 mt 3001 1436 L 3001 259 mt 3001 270 L 2968 1593 mt (3) s 3271 1448 mt 3271 1436 L 3271 259 mt 3271 270 L 3238 1593 mt (4) s 2326 1393 mt 2337 1393 L 3406 1393 mt 3394 1393 L 2225 1437 mt (0) s 2326 1177 mt 2337 1177 L 3406 1177 mt 3394 1177 L 2125 1221 mt (0.2) s 2326 961 mt 2337 961 L 3406 961 mt 3394 961 L 2125 1005 mt (0.4) s 2326 745 mt 2337 745 L 3406 745 mt 3394 745 L 2125 789 mt (0.6) s 2326 529 mt 2337 529 L 3406 529 mt 3394 529 L 2125 573 mt (0.8) s 2326 313 mt 2337 313 L 3406 313 mt 3394 313 L 2225 357 mt (1) s 2326 1448 mt 3406 1448 L 2326 259 mt 3406 259 L 2326 1448 mt 2326 259 L 3406 1448 mt 3406 259 L 2753 164 mt (gal4) s 2070 871 mt -90 rotate ( ) s 90 rotate 2848 1736 mt ( ) s gs 2326 259 1081 1190 MR c np DA c8 0 -77 2461 390 2 MP stroke 2461 1393 PD SO 0 sg 67 0 2427 1393 2 MP stroke 67 0 2427 313 2 MP stroke c8 34 -200 0 -108 -135 0 0 108 34 200 -34 201 0 494 135 0 0 -494 -34 -201 2427 1085 11 MP stroke c9 67 0 2427 1085 2 MP stroke gr c9 24 W 2461 1393 PD gs 2326 259 1081 1190 MR c np DA c8 0 -77 2731 390 2 MP stroke 0 -77 2731 1393 2 MP stroke SO 0 sg 67 0 2697 1393 2 MP stroke 67 0 2697 313 2 MP stroke c8 34 -185 0 -587 -135 0 0 587 34 185 -34 154 135 0 -34 -154 2697 544 9 MP stroke c9 67 0 2697 544 2 MP stroke gr 24 W 2731 1393 PD gs 2326 259 1081 1190 MR c np DA c8 0 -154 3001 467 2 MP stroke 3001 1393 PD SO 0 sg 67 0 2967 1393 2 MP stroke 67 0 2967 313 2 MP stroke c8 34 -185 0 -587 -135 0 0 587 34 185 -34 154 135 0 -34 -154 2967 621 9 MP stroke c9 67 0 2967 621 2 MP stroke gr 24 W 3001 1393 PD gs 2326 259 1081 1190 MR c np DA c8 0 -386 3271 776 2 MP stroke 3271 1393 PD SO 0 sg 67 0 3237 1393 2 MP stroke 67 0 3237 390 2 MP stroke c8 34 -123 0 -108 -135 0 0 108 34 123 -34 123 0 263 135 0 0 -263 -34 -123 3237 1162 11 MP stroke c9 67 0 3237 1162 2 MP stroke gr 24 W 3271 1393 PD gs 2326 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 3753 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 3753 1448 5 MP stroke 4 w DO SO 6 w 0 sg 3753 1448 mt 4833 1448 L 3753 259 mt 4833 259 L 3753 1448 mt 3753 259 L 4833 1448 mt 4833 259 L 3753 1448 mt 4833 1448 L 3753 1448 mt 3753 259 L 3888 1448 mt 3888 1436 L 3888 259 mt 3888 270 L 3855 1593 mt (1) s 4158 1448 mt 4158 1436 L 4158 259 mt 4158 270 L 4125 1593 mt (2) s 4428 1448 mt 4428 1436 L 4428 259 mt 4428 270 L 4395 1593 mt (3) s 4698 1448 mt 4698 1436 L 4698 259 mt 4698 270 L 4665 1593 mt (4) s 3753 1393 mt 3764 1393 L 4833 1393 mt 4821 1393 L 3652 1437 mt (0) s 3753 1177 mt 3764 1177 L 4833 1177 mt 4821 1177 L 3552 1221 mt (0.2) s 3753 961 mt 3764 961 L 4833 961 mt 4821 961 L 3552 1005 mt (0.4) s 3753 745 mt 3764 745 L 4833 745 mt 4821 745 L 3552 789 mt (0.6) s 3753 529 mt 3764 529 L 4833 529 mt 4821 529 L 3552 573 mt (0.8) s 3753 313 mt 3764 313 L 4833 313 mt 4821 313 L 3652 357 mt (1) s 3753 1448 mt 4833 1448 L 3753 259 mt 4833 259 L 3753 1448 mt 3753 259 L 4833 1448 mt 4833 259 L 4163 164 mt (gcn4) s 3497 871 mt -90 rotate ( ) s 90 rotate 4275 1736 mt ( ) s gs 3753 259 1081 1190 MR c np DA c8 3888 1393 PD 3888 1393 PD SO 0 sg 67 0 3854 1393 2 MP stroke 67 0 3854 1393 2 MP stroke c8 34 0 -135 0 34 0 -34 0 135 0 -34 0 3854 1393 7 MP stroke c9 67 0 3854 1393 2 MP stroke gr c9 3852 1348 mt 3924 1348 L 3888 1312 mt 3888 1384 L 3852 718 mt 3924 718 L 3888 682 mt 3888 754 L 3852 1348 mt 3924 1348 L 3888 1312 mt 3888 1384 L 3852 1123 mt 3924 1123 L 3888 1087 mt 3888 1159 L 3852 1348 mt 3924 1348 L 3888 1312 mt 3888 1384 L 3852 853 mt 3924 853 L 3888 817 mt 3888 889 L 3852 1303 mt 3924 1303 L 3888 1267 mt 3888 1339 L 3852 628 mt 3924 628 L 3888 592 mt 3888 664 L 3852 673 mt 3924 673 L 3888 637 mt 3888 709 L gs 3753 259 1081 1190 MR c np DA c8 0 -90 4158 583 2 MP stroke 0 -45 4158 718 2 MP stroke SO 0 sg 67 0 4124 718 2 MP stroke 67 0 4124 493 2 MP stroke c8 34 -18 0 -27 -135 0 0 27 34 18 -34 18 0 27 135 0 0 -27 -34 -18 4124 628 11 MP stroke c9 67 0 4124 628 2 MP stroke gr 4122 853 mt 4194 853 L 4158 817 mt 4158 889 L 4122 1393 mt 4194 1393 L 4158 1357 mt 4158 1429 L 4122 1258 mt 4194 1258 L 4158 1222 mt 4158 1294 L 4122 853 mt 4194 853 L 4158 817 mt 4158 889 L 4122 1393 mt 4194 1393 L 4158 1357 mt 4158 1429 L 4122 1258 mt 4194 1258 L 4158 1222 mt 4158 1294 L 4122 853 mt 4194 853 L 4158 817 mt 4158 889 L 4122 1393 mt 4194 1393 L 4158 1357 mt 4158 1429 L 4122 448 mt 4194 448 L 4158 412 mt 4158 484 L gs 3753 259 1081 1190 MR c np DA c8 0 -180 4428 628 2 MP stroke 4428 1393 PD SO 0 sg 67 0 4394 1393 2 MP stroke 67 0 4394 448 2 MP stroke c8 34 -155 0 -520 -135 0 0 520 34 155 -34 90 135 0 -34 -90 4394 718 9 MP stroke c9 67 0 4394 718 2 MP stroke gr 24 W 4428 1393 PD gs 3753 259 1081 1190 MR c np DA c8 0 -45 4698 628 2 MP stroke 0 -90 4698 808 2 MP stroke SO 0 sg 67 0 4664 808 2 MP stroke 67 0 4664 583 2 MP stroke c8 34 -18 0 -27 -135 0 0 27 34 18 -34 18 0 27 135 0 0 -27 -34 -18 4664 673 11 MP stroke c9 67 0 4664 673 2 MP stroke gr 4662 493 mt 4734 493 L 4698 457 mt 4698 529 L 4662 898 mt 4734 898 L 4698 862 mt 4698 934 L 4662 493 mt 4734 493 L 4698 457 mt 4698 529 L 4662 898 mt 4734 898 L 4698 862 mt 4698 934 L 4662 493 mt 4734 493 L 4698 457 mt 4698 529 L 4662 1393 mt 4734 1393 L 4698 1357 mt 4698 1429 L gs 3753 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 5180 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 5180 1448 5 MP stroke 4 w DO SO 6 w 0 sg 5180 1448 mt 6260 1448 L 5180 259 mt 6260 259 L 5180 1448 mt 5180 259 L 6260 1448 mt 6260 259 L 5180 1448 mt 6260 1448 L 5180 1448 mt 5180 259 L 5315 1448 mt 5315 1436 L 5315 259 mt 5315 270 L 5282 1593 mt (1) s 5585 1448 mt 5585 1436 L 5585 259 mt 5585 270 L 5552 1593 mt (2) s 5855 1448 mt 5855 1436 L 5855 259 mt 5855 270 L 5822 1593 mt (3) s 6125 1448 mt 6125 1436 L 6125 259 mt 6125 270 L 6092 1593 mt (4) s 5180 1393 mt 5191 1393 L 6260 1393 mt 6248 1393 L 5079 1437 mt (0) s 5180 1177 mt 5191 1177 L 6260 1177 mt 6248 1177 L 4979 1221 mt (0.2) s 5180 961 mt 5191 961 L 6260 961 mt 6248 961 L 4979 1005 mt (0.4) s 5180 745 mt 5191 745 L 6260 745 mt 6248 745 L 4979 789 mt (0.6) s 5180 529 mt 5191 529 L 6260 529 mt 6248 529 L 4979 573 mt (0.8) s 5180 313 mt 5191 313 L 6260 313 mt 6248 313 L 5079 357 mt (1) s 5180 1448 mt 6260 1448 L 5180 259 mt 6260 259 L 5180 1448 mt 5180 259 L 6260 1448 mt 6260 259 L 5603 164 mt (gcr1) s 4924 871 mt -90 rotate ( ) s 90 rotate 5702 1736 mt ( ) s gs 5180 259 1081 1190 MR c np DA c8 0 -255 5315 1203 2 MP stroke 5315 1393 PD SO 0 sg 67 0 5281 1393 2 MP stroke 67 0 5281 948 2 MP stroke c8 34 -39 0 -24 -135 0 0 24 34 39 -34 39 0 88 135 0 0 -88 -34 -39 5281 1330 11 MP stroke c9 67 0 5281 1330 2 MP stroke gr c9 5279 630 mt 5351 630 L 5315 594 mt 5315 666 L 5279 758 mt 5351 758 L 5315 722 mt 5315 794 L 5279 821 mt 5351 821 L 5315 785 mt 5315 857 L gs 5180 259 1081 1190 MR c np DA c8 0 -64 5585 567 2 MP stroke 0 -64 5585 694 2 MP stroke SO 0 sg 67 0 5551 694 2 MP stroke 67 0 5551 503 2 MP stroke c8 34 -13 0 -50 -135 0 0 50 34 13 -34 0 135 0 -34 0 5551 567 9 MP stroke c9 67 0 5551 567 2 MP stroke gr 5549 758 mt 5621 758 L 5585 722 mt 5585 794 L 5549 440 mt 5621 440 L 5585 404 mt 5585 476 L 5549 376 mt 5621 376 L 5585 340 mt 5585 412 L gs 5180 259 1081 1190 MR c np DA c8 0 -127 5855 567 2 MP stroke 5855 1393 PD SO 0 sg 67 0 5821 1393 2 MP stroke 67 0 5821 440 2 MP stroke c8 34 -170 0 -211 -135 0 0 211 34 170 -34 170 0 275 135 0 0 -275 -34 -170 5821 1012 11 MP stroke c9 67 0 5821 1012 2 MP stroke gr 24 W 5855 1393 PD gs 5180 259 1081 1190 MR c np DA c8 0 -63 6125 503 2 MP stroke 0 -128 6125 758 2 MP stroke SO 0 sg 67 0 6091 758 2 MP stroke 67 0 6091 440 2 MP stroke c8 34 -26 0 -37 -135 0 0 37 34 26 -34 26 0 38 135 0 0 -38 -34 -26 6091 567 11 MP stroke c9 67 0 6091 567 2 MP stroke gr 6089 1393 mt 6161 1393 L 6125 1357 mt 6125 1429 L 6089 1266 mt 6161 1266 L 6125 1230 mt 6125 1302 L 6089 1393 mt 6161 1393 L 6125 1357 mt 6125 1429 L gs 5180 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 899 3076 4 MP PP -1080 0 0 1189 1080 0 0 -1189 899 3076 5 MP stroke 4 w DO SO 6 w 0 sg 899 3076 mt 1979 3076 L 899 1887 mt 1979 1887 L 899 3076 mt 899 1887 L 1979 3076 mt 1979 1887 L 899 3076 mt 1979 3076 L 899 3076 mt 899 1887 L 1034 3076 mt 1034 3064 L 1034 1887 mt 1034 1898 L 1001 3221 mt (1) s 1304 3076 mt 1304 3064 L 1304 1887 mt 1304 1898 L 1271 3221 mt (2) s 1574 3076 mt 1574 3064 L 1574 1887 mt 1574 1898 L 1541 3221 mt (3) s 1844 3076 mt 1844 3064 L 1844 1887 mt 1844 1898 L 1811 3221 mt (4) s 899 3021 mt 910 3021 L 1979 3021 mt 1967 3021 L 798 3065 mt (0) s 899 2805 mt 910 2805 L 1979 2805 mt 1967 2805 L 698 2849 mt (0.2) s 899 2589 mt 910 2589 L 1979 2589 mt 1967 2589 L 698 2633 mt (0.4) s 899 2373 mt 910 2373 L 1979 2373 mt 1967 2373 L 698 2417 mt (0.6) s 899 2157 mt 910 2157 L 1979 2157 mt 1967 2157 L 698 2201 mt (0.8) s 899 1941 mt 910 1941 L 1979 1941 mt 1967 1941 L 798 1985 mt (1) s 899 3076 mt 1979 3076 L 899 1887 mt 1979 1887 L 899 3076 mt 899 1887 L 1979 3076 mt 1979 1887 L 1238 1792 mt (mat-a2) s 643 2499 mt -90 rotate ( ) s 90 rotate 1421 3364 mt ( ) s gs 899 1887 1081 1190 MR c np DA c8 0 -180 1034 2121 2 MP stroke 1034 3021 PD SO 0 sg 67 0 1000 3021 2 MP stroke 67 0 1000 1941 2 MP stroke c8 34 -45 -135 0 34 45 -34 189 0 666 135 0 0 -666 -34 -189 1000 2976 9 MP stroke c9 67 0 1000 2976 2 MP stroke gr c9 24 W 1034 3021 PD gs 899 1887 1081 1190 MR c np DA c8 0 -360 1304 2301 2 MP stroke 1304 3021 PD SO 0 sg 67 0 1270 3021 2 MP stroke 67 0 1270 1941 2 MP stroke c8 34 0 -135 0 34 0 -34 151 0 569 135 0 0 -569 -34 -151 1270 3021 9 MP stroke c9 67 0 1270 3021 2 MP stroke gr 24 W 1304 3021 PD gs 899 1887 1081 1190 MR c np DA c8 1574 1941 PD 1574 3021 PD SO 0 sg 67 0 1540 3021 2 MP stroke 67 0 1540 1941 2 MP stroke c8 34 -226 0 -764 -135 0 0 764 34 226 -34 90 135 0 -34 -90 1540 2031 9 MP stroke c9 67 0 1540 2031 2 MP stroke gr 24 W 1574 3021 PD gs 899 1887 1081 1190 MR c np DA c8 1844 1941 PD 0 -180 1844 2301 2 MP stroke SO 0 sg 67 0 1810 2301 2 MP stroke 67 0 1810 1941 2 MP stroke c8 34 -37 0 -98 -135 0 0 98 34 37 -34 38 0 7 135 0 0 -7 -34 -38 1810 1986 11 MP stroke c9 67 0 1810 1986 2 MP stroke gr 1808 2661 mt 1880 2661 L 1844 2625 mt 1844 2697 L 1808 2931 mt 1880 2931 L 1844 2895 mt 1844 2967 L gs 899 1887 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 2326 3076 4 MP PP -1080 0 0 1189 1080 0 0 -1189 2326 3076 5 MP stroke 4 w DO SO 6 w 0 sg 2326 3076 mt 3406 3076 L 2326 1887 mt 3406 1887 L 2326 3076 mt 2326 1887 L 3406 3076 mt 3406 1887 L 2326 3076 mt 3406 3076 L 2326 3076 mt 2326 1887 L 2461 3076 mt 2461 3064 L 2461 1887 mt 2461 1898 L 2428 3221 mt (1) s 2731 3076 mt 2731 3064 L 2731 1887 mt 2731 1898 L 2698 3221 mt (2) s 3001 3076 mt 3001 3064 L 3001 1887 mt 3001 1898 L 2968 3221 mt (3) s 3271 3076 mt 3271 3064 L 3271 1887 mt 3271 1898 L 3238 3221 mt (4) s 2326 3021 mt 2337 3021 L 3406 3021 mt 3394 3021 L 2225 3065 mt (0) s 2326 2805 mt 2337 2805 L 3406 2805 mt 3394 2805 L 2125 2849 mt (0.2) s 2326 2589 mt 2337 2589 L 3406 2589 mt 3394 2589 L 2125 2633 mt (0.4) s 2326 2373 mt 2337 2373 L 3406 2373 mt 3394 2373 L 2125 2417 mt (0.6) s 2326 2157 mt 2337 2157 L 3406 2157 mt 3394 2157 L 2125 2201 mt (0.8) s 2326 1941 mt 2337 1941 L 3406 1941 mt 3394 1941 L 2225 1985 mt (1) s 2326 3076 mt 3406 3076 L 2326 1887 mt 3406 1887 L 2326 3076 mt 2326 1887 L 3406 3076 mt 3406 1887 L 2752 1792 mt (mcb) s 2070 2499 mt -90 rotate ( ) s 90 rotate 2848 3364 mt ( ) s gs 2326 1887 1081 1190 MR c np DA c8 2461 3021 PD 2461 3021 PD SO 0 sg 67 0 2427 3021 2 MP stroke 67 0 2427 3021 2 MP stroke c8 34 0 -135 0 34 0 -34 0 135 0 -34 0 2427 3021 7 MP stroke c9 67 0 2427 3021 2 MP stroke gr c9 24 W 2461 3021 PD gs 2326 1887 1081 1190 MR c np DA c8 0 -372 2731 2515 2 MP stroke 2731 3021 PD SO 0 sg 67 0 2697 3021 2 MP stroke 67 0 2697 2143 2 MP stroke c8 34 -67 -135 0 34 67 -34 106 0 333 135 0 0 -333 -34 -106 2697 2954 9 MP stroke c9 67 0 2697 2954 2 MP stroke gr 24 W 2731 3021 PD gs 2326 1887 1081 1190 MR c np DA c8 0 -34 3001 2988 2 MP stroke 3001 3021 PD SO 0 sg 67 0 2967 3021 2 MP stroke 67 0 2967 2954 2 MP stroke c8 34 0 -135 0 34 0 -34 7 0 26 135 0 0 -26 -34 -7 2967 3021 9 MP stroke c9 67 0 2967 3021 2 MP stroke gr 2965 2886 mt 3037 2886 L 3001 2850 mt 3001 2922 L 2965 2211 mt 3037 2211 L 3001 2175 mt 3001 2247 L 2965 2143 mt 3037 2143 L 3001 2107 mt 3001 2179 L 2965 2886 mt 3037 2886 L 3001 2850 mt 3001 2922 L 2965 2211 mt 3037 2211 L 3001 2175 mt 3001 2247 L 2965 2143 mt 3037 2143 L 3001 2107 mt 3001 2179 L 2965 2886 mt 3037 2886 L 3001 2850 mt 3001 2922 L 2965 2819 mt 3037 2819 L 3001 2783 mt 3001 2855 L 2965 2143 mt 3037 2143 L 3001 2107 mt 3001 2179 L 2965 2278 mt 3037 2278 L 3001 2242 mt 3001 2314 L gs 2326 1887 1081 1190 MR c np DA c8 0 -135 3271 2076 2 MP stroke 0 -202 3271 2413 2 MP stroke SO 0 sg 67 0 3237 2413 2 MP stroke 67 0 3237 1941 2 MP stroke c8 34 -29 0 -39 -135 0 0 39 34 29 -34 28 0 39 135 0 0 -39 -34 -28 3237 2143 11 MP stroke c9 67 0 3237 2143 2 MP stroke gr 3235 2481 mt 3307 2481 L 3271 2445 mt 3271 2517 L 3235 3021 mt 3307 3021 L 3271 2985 mt 3271 3057 L gs 2326 1887 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 3753 3076 4 MP PP -1080 0 0 1189 1080 0 0 -1189 3753 3076 5 MP stroke 4 w DO SO 6 w 0 sg 3753 3076 mt 4833 3076 L 3753 1887 mt 4833 1887 L 3753 3076 mt 3753 1887 L 4833 3076 mt 4833 1887 L 3753 3076 mt 4833 3076 L 3753 3076 mt 3753 1887 L 3888 3076 mt 3888 3064 L 3888 1887 mt 3888 1898 L 3855 3221 mt (1) s 4158 3076 mt 4158 3064 L 4158 1887 mt 4158 1898 L 4125 3221 mt (2) s 4428 3076 mt 4428 3064 L 4428 1887 mt 4428 1898 L 4395 3221 mt (3) s 4698 3076 mt 4698 3064 L 4698 1887 mt 4698 1898 L 4665 3221 mt (4) s 3753 3021 mt 3764 3021 L 4833 3021 mt 4821 3021 L 3652 3065 mt (0) s 3753 2805 mt 3764 2805 L 4833 2805 mt 4821 2805 L 3552 2849 mt (0.2) s 3753 2589 mt 3764 2589 L 4833 2589 mt 4821 2589 L 3552 2633 mt (0.4) s 3753 2373 mt 3764 2373 L 4833 2373 mt 4821 2373 L 3552 2417 mt (0.6) s 3753 2157 mt 3764 2157 L 4833 2157 mt 4821 2157 L 3552 2201 mt (0.8) s 3753 1941 mt 3764 1941 L 4833 1941 mt 4821 1941 L 3652 1985 mt (1) s 3753 3076 mt 4833 3076 L 3753 1887 mt 4833 1887 L 3753 3076 mt 3753 1887 L 4833 3076 mt 4833 1887 L 4163 1792 mt (mig1) s 3497 2499 mt -90 rotate ( ) s 90 rotate 4275 3364 mt ( ) s gs 3753 1887 1081 1190 MR c np DA c8 3888 1941 PD 0 -25 3888 2039 2 MP stroke SO 0 sg 67 0 3854 2039 2 MP stroke 67 0 3854 1941 2 MP stroke c8 34 -15 0 -58 -135 0 0 58 34 15 -34 0 135 0 -34 0 3854 1941 9 MP stroke c9 67 0 3854 1941 2 MP stroke gr c9 3852 3021 mt 3924 3021 L 3888 2985 mt 3888 3057 L 3852 2235 mt 3924 2235 L 3888 2199 mt 3888 2271 L 3852 3021 mt 3924 3021 L 3888 2985 mt 3888 3057 L 3852 2137 mt 3924 2137 L 3888 2101 mt 3888 2173 L 3852 2923 mt 3924 2923 L 3888 2887 mt 3888 2959 L 3852 3021 mt 3924 3021 L 3888 2985 mt 3888 3057 L gs 3753 1887 1081 1190 MR c np DA c8 4158 1941 PD 4158 3021 PD SO 0 sg 67 0 4124 3021 2 MP stroke 67 0 4124 1941 2 MP stroke c8 34 -229 0 -557 -135 0 0 557 34 229 -34 228 0 66 135 0 0 -66 -34 -228 4124 2235 11 MP stroke c9 67 0 4124 2235 2 MP stroke gr 24 W 4158 3021 PD gs 3753 1887 1081 1190 MR c np DA c8 4428 1941 PD 4428 1941 PD SO 0 sg 67 0 4394 1941 2 MP stroke 67 0 4394 1941 2 MP stroke c8 34 0 -135 0 34 0 -34 0 135 0 -34 0 4394 1941 7 MP stroke c9 67 0 4394 1941 2 MP stroke gr 4392 2334 mt 4464 2334 L 4428 2298 mt 4428 2370 L 4392 3021 mt 4464 3021 L 4428 2985 mt 4428 3057 L 4392 2334 mt 4464 2334 L 4428 2298 mt 4428 2370 L 4392 2039 mt 4464 2039 L 4428 2003 mt 4428 2075 L 4392 3021 mt 4464 3021 L 4428 2985 mt 4428 3057 L 4392 2137 mt 4464 2137 L 4428 2101 mt 4428 2173 L 4392 3021 mt 4464 3021 L 4428 2985 mt 4428 3057 L 4392 2235 mt 4464 2235 L 4428 2199 mt 4428 2271 L 4392 2039 mt 4464 2039 L 4428 2003 mt 4428 2075 L 4392 3021 mt 4464 3021 L 4428 2985 mt 4428 3057 L gs 3753 1887 1081 1190 MR c np DA c8 0 -98 4698 2039 2 MP stroke 0 -98 4698 3021 2 MP stroke SO 0 sg 67 0 4664 3021 2 MP stroke 67 0 4664 1941 2 MP stroke c8 34 -188 0 -500 -135 0 0 500 34 188 -34 187 0 9 135 0 0 -9 -34 -187 4664 2235 11 MP stroke c9 67 0 4664 2235 2 MP stroke gr 24 W 4698 3021 PD gs 3753 1887 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 5180 3076 4 MP PP -1080 0 0 1189 1080 0 0 -1189 5180 3076 5 MP stroke 4 w DO SO 6 w 0 sg 5180 3076 mt 6260 3076 L 5180 1887 mt 6260 1887 L 5180 3076 mt 5180 1887 L 6260 3076 mt 6260 1887 L 5180 3076 mt 6260 3076 L 5180 3076 mt 5180 1887 L 5315 3076 mt 5315 3064 L 5315 1887 mt 5315 1898 L 5282 3221 mt (1) s 5585 3076 mt 5585 3064 L 5585 1887 mt 5585 1898 L 5552 3221 mt (2) s 5855 3076 mt 5855 3064 L 5855 1887 mt 5855 1898 L 5822 3221 mt (3) s 6125 3076 mt 6125 3064 L 6125 1887 mt 6125 1898 L 6092 3221 mt (4) s 5180 3021 mt 5191 3021 L 6260 3021 mt 6248 3021 L 5079 3065 mt (0) s 5180 2805 mt 5191 2805 L 6260 2805 mt 6248 2805 L 4979 2849 mt (0.2) s 5180 2589 mt 5191 2589 L 6260 2589 mt 6248 2589 L 4979 2633 mt (0.4) s 5180 2373 mt 5191 2373 L 6260 2373 mt 6248 2373 L 4979 2417 mt (0.6) s 5180 2157 mt 5191 2157 L 6260 2157 mt 6248 2157 L 4979 2201 mt (0.8) s 5180 1941 mt 5191 1941 L 6260 1941 mt 6248 1941 L 5079 1985 mt (1) s 5180 3076 mt 6260 3076 L 5180 1887 mt 6260 1887 L 5180 3076 mt 5180 1887 L 6260 3076 mt 6260 1887 L 5636 1792 mt (crp) s 4924 2499 mt -90 rotate ( ) s 90 rotate 5702 3364 mt ( ) s gs 5180 1887 1081 1190 MR c np DA c8 0 -90 5315 2211 2 MP stroke 0 -225 5315 2616 2 MP stroke SO 0 sg 67 0 5281 2616 2 MP stroke 67 0 5281 2121 2 MP stroke c8 34 -37 0 -53 -135 0 0 53 34 37 -34 37 0 53 135 0 0 -53 -34 -37 5281 2301 11 MP stroke c9 67 0 5281 2301 2 MP stroke gr c9 5279 3021 mt 5351 3021 L 5315 2985 mt 5315 3057 L 5279 2886 mt 5351 2886 L 5315 2850 mt 5315 2922 L 5279 3021 mt 5351 3021 L 5315 2985 mt 5315 3057 L 5279 2841 mt 5351 2841 L 5315 2805 mt 5315 2877 L 5279 3021 mt 5351 3021 L 5315 2985 mt 5315 3057 L gs 5180 1887 1081 1190 MR c np DA c8 0 -135 5585 2256 2 MP stroke 0 -180 5585 2616 2 MP stroke SO 0 sg 67 0 5551 2616 2 MP stroke 67 0 5551 2121 2 MP stroke c8 34 -37 0 -53 -135 0 0 53 34 37 -34 37 0 53 135 0 0 -53 -34 -37 5551 2346 11 MP stroke c9 67 0 5551 2346 2 MP stroke gr 5549 2976 mt 5621 2976 L 5585 2940 mt 5585 3012 L 5549 2886 mt 5621 2886 L 5585 2850 mt 5585 2922 L gs 5180 1887 1081 1190 MR c np DA c8 0 -90 5855 2211 2 MP stroke 0 -225 5855 2616 2 MP stroke SO 0 sg 67 0 5821 2616 2 MP stroke 67 0 5821 2121 2 MP stroke c8 34 -37 0 -53 -135 0 0 53 34 37 -34 37 0 53 135 0 0 -53 -34 -37 5821 2301 11 MP stroke c9 67 0 5821 2301 2 MP stroke gr 5819 3021 mt 5891 3021 L 5855 2985 mt 5855 3057 L 5819 2886 mt 5891 2886 L 5855 2850 mt 5855 2922 L 5819 2976 mt 5891 2976 L 5855 2940 mt 5855 3012 L 5819 3021 mt 5891 3021 L 5855 2985 mt 5855 3057 L gs 5180 1887 1081 1190 MR c np DA c8 0 -270 6125 2436 2 MP stroke 0 -45 6125 3021 2 MP stroke SO 0 sg 67 0 6091 3021 2 MP stroke 67 0 6091 2166 2 MP stroke c8 34 -112 0 -248 -135 0 0 248 34 112 -34 111 0 69 135 0 0 -69 -34 -111 6091 2616 11 MP stroke c9 67 0 6091 2616 2 MP stroke gr 24 W 6125 3021 PD gs 5180 1887 1081 1190 MR c np gr end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1599 w @beginspecial 61 @llx 329 @lly 543 @urx 611 @ury 1800 @rwi @setspecial %%BeginDocument: newplots/f4b.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: /.automount/coeus/vol/vol0/eecs/epxing/work/Projects/GeneNet/results/newplots/f4b.eps %%CreationDate: 06/30/2002 02:39:35 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 61 329 543 611 %%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: 61 329 543 611 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 527 5 5783 3388 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 3457 PR 6 w 0 1189 1080 0 0 -1189 899 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 899 1448 5 MP stroke 4 w DO SO 6 w 0 sg 899 1448 mt 1979 1448 L 899 259 mt 1979 259 L 899 1448 mt 899 259 L 1979 1448 mt 1979 259 L 899 1448 mt 1979 1448 L 899 1448 mt 899 259 L 1034 1448 mt 1034 1436 L 1034 259 mt 1034 270 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 1001 1593 mt (1) s 1304 1448 mt 1304 1436 L 1304 259 mt 1304 270 L 1271 1593 mt (2) s 1574 1448 mt 1574 1436 L 1574 259 mt 1574 270 L 1541 1593 mt (3) s 1844 1448 mt 1844 1436 L 1844 259 mt 1844 270 L 1811 1593 mt (4) s 899 1393 mt 910 1393 L 1979 1393 mt 1967 1393 L 798 1437 mt (0) s 899 1177 mt 910 1177 L 1979 1177 mt 1967 1177 L 698 1221 mt (0.2) s 899 961 mt 910 961 L 1979 961 mt 1967 961 L 698 1005 mt (0.4) s 899 745 mt 910 745 L 1979 745 mt 1967 745 L 698 789 mt (0.6) s 899 529 mt 910 529 L 1979 529 mt 1967 529 L 698 573 mt (0.8) s 899 313 mt 910 313 L 1979 313 mt 1967 313 L 798 357 mt (1) s 899 1448 mt 1979 1448 L 899 259 mt 1979 259 L 899 1448 mt 899 259 L 1979 1448 mt 1979 259 L 1322 164 mt (abf1) s 643 871 mt -90 rotate ( ) s 90 rotate 1421 1736 mt ( ) s gs 899 259 1081 1190 MR c np DA /c8 { 0.000000 0.000000 1.000000 sr} bdef c8 0 -103 1034 518 2 MP stroke 1034 1393 PD SO 0 sg 67 0 1000 1393 2 MP stroke 67 0 1000 415 2 MP stroke c8 34 -151 0 -621 -135 0 0 621 34 151 -34 103 135 0 -34 -103 1000 621 9 MP stroke /c9 { 1.000000 0.000000 0.000000 sr} bdef c9 67 0 1000 621 2 MP stroke gr c9 24 W 1034 1393 PD gs 899 259 1081 1190 MR c np DA c8 0 -52 1304 467 2 MP stroke 0 -51 1304 621 2 MP stroke SO 0 sg 67 0 1270 621 2 MP stroke 67 0 1270 415 2 MP stroke c8 34 -18 0 -34 -135 0 0 34 34 18 -34 17 0 34 135 0 0 -34 -34 -17 1270 518 11 MP stroke c9 67 0 1270 518 2 MP stroke gr 1268 1393 mt 1340 1393 L 1304 1357 mt 1304 1429 L 1268 1291 mt 1340 1291 L 1304 1255 mt 1304 1327 L 1268 1393 mt 1340 1393 L 1304 1357 mt 1304 1429 L gs 899 259 1081 1190 MR c np DA c8 0 -51 1574 518 2 MP stroke 0 -51 1574 621 2 MP stroke SO 0 sg 67 0 1540 621 2 MP stroke 67 0 1540 467 2 MP stroke c8 34 -9 0 -43 -135 0 0 43 34 9 -34 0 135 0 -34 0 1540 518 9 MP stroke c9 67 0 1540 518 2 MP stroke gr 1538 776 mt 1610 776 L 1574 740 mt 1574 812 L 1538 1393 mt 1610 1393 L 1574 1357 mt 1574 1429 L 1538 415 mt 1610 415 L 1574 379 mt 1574 451 L 1538 1393 mt 1610 1393 L 1574 1357 mt 1574 1429 L 1538 415 mt 1610 415 L 1574 379 mt 1574 451 L 1538 1393 mt 1610 1393 L 1574 1357 mt 1574 1429 L gs 899 259 1081 1190 MR c np DA c8 0 -206 1844 673 2 MP stroke 1844 1393 PD SO 0 sg 67 0 1810 1393 2 MP stroke 67 0 1810 467 2 MP stroke c8 34 -124 0 -30 -135 0 0 30 34 124 -34 124 0 442 135 0 0 -442 -34 -124 1810 1239 11 MP stroke c9 67 0 1810 1239 2 MP stroke gr 24 W 1844 1393 PD gs 899 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 2326 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 2326 1448 5 MP stroke 4 w DO SO 6 w 0 sg 2326 1448 mt 3406 1448 L 2326 259 mt 3406 259 L 2326 1448 mt 2326 259 L 3406 1448 mt 3406 259 L 2326 1448 mt 3406 1448 L 2326 1448 mt 2326 259 L 2461 1448 mt 2461 1436 L 2461 259 mt 2461 270 L 2428 1593 mt (1) s 2731 1448 mt 2731 1436 L 2731 259 mt 2731 270 L 2698 1593 mt (2) s 3001 1448 mt 3001 1436 L 3001 259 mt 3001 270 L 2968 1593 mt (3) s 3271 1448 mt 3271 1436 L 3271 259 mt 3271 270 L 3238 1593 mt (4) s 2326 1393 mt 2337 1393 L 3406 1393 mt 3394 1393 L 2225 1437 mt (0) s 2326 1177 mt 2337 1177 L 3406 1177 mt 3394 1177 L 2125 1221 mt (0.2) s 2326 961 mt 2337 961 L 3406 961 mt 3394 961 L 2125 1005 mt (0.4) s 2326 745 mt 2337 745 L 3406 745 mt 3394 745 L 2125 789 mt (0.6) s 2326 529 mt 2337 529 L 3406 529 mt 3394 529 L 2125 573 mt (0.8) s 2326 313 mt 2337 313 L 3406 313 mt 3394 313 L 2225 357 mt (1) s 2326 1448 mt 3406 1448 L 2326 259 mt 3406 259 L 2326 1448 mt 2326 259 L 3406 1448 mt 3406 259 L 2753 164 mt (gal4) s 2070 871 mt -90 rotate ( ) s 90 rotate 2848 1736 mt ( ) s gs 2326 259 1081 1190 MR c np DA c8 0 -154 2461 467 2 MP stroke 2461 1393 PD SO 0 sg 67 0 2427 1393 2 MP stroke 67 0 2427 313 2 MP stroke c8 34 -115 -135 0 34 115 -34 161 0 650 135 0 0 -650 -34 -161 2427 1278 9 MP stroke c9 67 0 2427 1278 2 MP stroke gr c9 24 W 2461 1393 PD gs 2326 259 1081 1190 MR c np DA c8 0 -77 2731 390 2 MP stroke 2731 1393 PD SO 0 sg 67 0 2697 1393 2 MP stroke 67 0 2697 313 2 MP stroke c8 34 -174 0 -713 -135 0 0 713 34 174 -34 116 135 0 -34 -116 2697 506 9 MP stroke c9 67 0 2697 506 2 MP stroke gr 24 W 2731 1393 PD gs 2326 259 1081 1190 MR c np DA c8 0 -77 3001 390 2 MP stroke 3001 1393 PD SO 0 sg 67 0 2967 1393 2 MP stroke 67 0 2967 313 2 MP stroke c8 34 -174 0 -675 -135 0 0 675 34 174 -34 154 135 0 -34 -154 2967 544 9 MP stroke c9 67 0 2967 544 2 MP stroke gr 24 W 3001 1393 PD gs 2326 259 1081 1190 MR c np DA c8 0 -309 3271 1162 2 MP stroke 3271 1393 PD SO 0 sg 67 0 3237 1393 2 MP stroke 67 0 3237 853 2 MP stroke c8 34 0 -135 0 34 0 -34 40 0 191 135 0 0 -191 -34 -40 3237 1393 9 MP stroke c9 67 0 3237 1393 2 MP stroke gr 3235 621 mt 3307 621 L 3271 585 mt 3271 657 L 3235 467 mt 3307 467 L 3271 431 mt 3271 503 L 3235 544 mt 3307 544 L 3271 508 mt 3271 580 L 3235 467 mt 3307 467 L 3271 431 mt 3271 503 L 3235 544 mt 3307 544 L 3271 508 mt 3271 580 L 3235 699 mt 3307 699 L 3271 663 mt 3271 735 L 3235 544 mt 3307 544 L 3271 508 mt 3271 580 L 3235 467 mt 3307 467 L 3271 431 mt 3271 503 L 3235 699 mt 3307 699 L 3271 663 mt 3271 735 L 3235 544 mt 3307 544 L 3271 508 mt 3271 580 L 3235 776 mt 3307 776 L 3271 740 mt 3271 812 L gs 2326 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 3753 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 3753 1448 5 MP stroke 4 w DO SO 6 w 0 sg 3753 1448 mt 4833 1448 L 3753 259 mt 4833 259 L 3753 1448 mt 3753 259 L 4833 1448 mt 4833 259 L 3753 1448 mt 4833 1448 L 3753 1448 mt 3753 259 L 3888 1448 mt 3888 1436 L 3888 259 mt 3888 270 L 3855 1593 mt (1) s 4158 1448 mt 4158 1436 L 4158 259 mt 4158 270 L 4125 1593 mt (2) s 4428 1448 mt 4428 1436 L 4428 259 mt 4428 270 L 4395 1593 mt (3) s 4698 1448 mt 4698 1436 L 4698 259 mt 4698 270 L 4665 1593 mt (4) s 3753 1393 mt 3764 1393 L 4833 1393 mt 4821 1393 L 3652 1437 mt (0) s 3753 1177 mt 3764 1177 L 4833 1177 mt 4821 1177 L 3552 1221 mt (0.2) s 3753 961 mt 3764 961 L 4833 961 mt 4821 961 L 3552 1005 mt (0.4) s 3753 745 mt 3764 745 L 4833 745 mt 4821 745 L 3552 789 mt (0.6) s 3753 529 mt 3764 529 L 4833 529 mt 4821 529 L 3552 573 mt (0.8) s 3753 313 mt 3764 313 L 4833 313 mt 4821 313 L 3652 357 mt (1) s 3753 1448 mt 4833 1448 L 3753 259 mt 4833 259 L 3753 1448 mt 3753 259 L 4833 1448 mt 4833 259 L 4163 164 mt (gcn4) s 3497 871 mt -90 rotate ( ) s 90 rotate 4275 1736 mt ( ) s gs 3753 259 1081 1190 MR c np DA c8 0 -45 3888 1348 2 MP stroke 3888 1393 PD SO 0 sg 67 0 3854 1393 2 MP stroke 67 0 3854 1303 2 MP stroke c8 34 0 -135 0 34 0 -34 8 0 37 135 0 0 -37 -34 -8 3854 1393 9 MP stroke c9 67 0 3854 1393 2 MP stroke gr c9 3852 718 mt 3924 718 L 3888 682 mt 3888 754 L 3852 943 mt 3924 943 L 3888 907 mt 3888 979 L 3852 718 mt 3924 718 L 3888 682 mt 3888 754 L 3852 943 mt 3924 943 L 3888 907 mt 3888 979 L 3852 853 mt 3924 853 L 3888 817 mt 3888 889 L 3852 583 mt 3924 583 L 3888 547 mt 3888 619 L gs 3753 259 1081 1190 MR c np DA c8 0 -135 4158 583 2 MP stroke 0 -270 4158 1033 2 MP stroke SO 0 sg 67 0 4124 1033 2 MP stroke 67 0 4124 448 2 MP stroke c8 34 -32 0 -103 -135 0 0 103 34 32 -34 32 0 13 135 0 0 -13 -34 -32 4124 628 11 MP stroke c9 67 0 4124 628 2 MP stroke gr 4122 1348 mt 4194 1348 L 4158 1312 mt 4158 1384 L 4122 1393 mt 4194 1393 L 4158 1357 mt 4158 1429 L 4122 1348 mt 4194 1348 L 4158 1312 mt 4158 1384 L 4122 1393 mt 4194 1393 L 4158 1357 mt 4158 1429 L 4122 1348 mt 4194 1348 L 4158 1312 mt 4158 1384 L 4122 1078 mt 4194 1078 L 4158 1042 mt 4158 1114 L 4122 1393 mt 4194 1393 L 4158 1357 mt 4158 1429 L 4122 1348 mt 4194 1348 L 4158 1312 mt 4158 1384 L gs 3753 259 1081 1190 MR c np DA c8 0 -495 4428 1033 2 MP stroke 4428 1393 PD SO 0 sg 67 0 4394 1393 2 MP stroke 67 0 4394 538 2 MP stroke c8 34 -45 -135 0 34 45 -34 64 0 251 135 0 0 -251 -34 -64 4394 1348 9 MP stroke c9 67 0 4394 1348 2 MP stroke gr 4392 493 mt 4464 493 L 4428 457 mt 4428 529 L gs 3753 259 1081 1190 MR c np DA c8 0 -135 4698 718 2 MP stroke 4698 1393 PD SO 0 sg 67 0 4664 1393 2 MP stroke 67 0 4664 583 2 MP stroke c8 34 0 -135 0 34 0 -34 120 0 555 135 0 0 -555 -34 -120 4664 1393 9 MP stroke c9 67 0 4664 1393 2 MP stroke gr 24 W 4698 1393 PD gs 3753 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 5180 1448 4 MP PP -1080 0 0 1189 1080 0 0 -1189 5180 1448 5 MP stroke 4 w DO SO 6 w 0 sg 5180 1448 mt 6260 1448 L 5180 259 mt 6260 259 L 5180 1448 mt 5180 259 L 6260 1448 mt 6260 259 L 5180 1448 mt 6260 1448 L 5180 1448 mt 5180 259 L 5315 1448 mt 5315 1436 L 5315 259 mt 5315 270 L 5282 1593 mt (1) s 5585 1448 mt 5585 1436 L 5585 259 mt 5585 270 L 5552 1593 mt (2) s 5855 1448 mt 5855 1436 L 5855 259 mt 5855 270 L 5822 1593 mt (3) s 6125 1448 mt 6125 1436 L 6125 259 mt 6125 270 L 6092 1593 mt (4) s 5180 1393 mt 5191 1393 L 6260 1393 mt 6248 1393 L 5079 1437 mt (0) s 5180 1177 mt 5191 1177 L 6260 1177 mt 6248 1177 L 4979 1221 mt (0.2) s 5180 961 mt 5191 961 L 6260 961 mt 6248 961 L 4979 1005 mt (0.4) s 5180 745 mt 5191 745 L 6260 745 mt 6248 745 L 4979 789 mt (0.6) s 5180 529 mt 5191 529 L 6260 529 mt 6248 529 L 4979 573 mt (0.8) s 5180 313 mt 5191 313 L 6260 313 mt 6248 313 L 5079 357 mt (1) s 5180 1448 mt 6260 1448 L 5180 259 mt 6260 259 L 5180 1448 mt 5180 259 L 6260 1448 mt 6260 259 L 5603 164 mt (gcr1) s 4924 871 mt -90 rotate ( ) s 90 rotate 5702 1736 mt ( ) s gs 5180 259 1081 1190 MR c np DA c8 0 -382 5315 1012 2 MP stroke 0 -63 5315 1393 2 MP stroke SO 0 sg 67 0 5281 1393 2 MP stroke 67 0 5281 630 2 MP stroke c8 34 -57 0 -70 -135 0 0 70 34 57 -34 58 0 133 135 0 0 -133 -34 -58 5281 1203 11 MP stroke c9 67 0 5281 1203 2 MP stroke gr c9 24 W 5315 1393 PD gs 5180 259 1081 1190 MR c np DA c8 0 -127 5585 630 2 MP stroke 0 -318 5585 1203 2 MP stroke SO 0 sg 67 0 5551 1203 2 MP stroke 67 0 5551 503 2 MP stroke c8 34 -46 0 -145 -135 0 0 145 34 46 -34 46 0 18 135 0 0 -18 -34 -46 5551 694 11 MP stroke c9 67 0 5551 694 2 MP stroke gr 5549 1266 mt 5621 1266 L 5585 1230 mt 5585 1302 L 5549 1393 mt 5621 1393 L 5585 1357 mt 5585 1429 L 5549 1266 mt 5621 1266 L 5585 1230 mt 5585 1302 L 5549 1330 mt 5621 1330 L 5585 1294 mt 5585 1366 L 5549 1393 mt 5621 1393 L 5585 1357 mt 5585 1429 L 5549 1266 mt 5621 1266 L 5585 1230 mt 5585 1302 L 5549 1393 mt 5621 1393 L 5585 1357 mt 5585 1429 L gs 5180 259 1081 1190 MR c np DA c8 0 -127 5855 630 2 MP stroke 0 -190 5855 1393 2 MP stroke SO 0 sg 67 0 5821 1393 2 MP stroke 67 0 5821 503 2 MP stroke c8 34 -103 0 -342 -135 0 0 342 34 103 -34 103 0 25 135 0 0 -25 -34 -103 5821 758 11 MP stroke c9 67 0 5821 758 2 MP stroke gr 24 W 5855 1393 PD gs 5180 259 1081 1190 MR c np DA c8 0 -190 6125 630 2 MP stroke 0 -63 6125 1393 2 MP stroke SO 0 sg 67 0 6091 1393 2 MP stroke 67 0 6091 440 2 MP stroke c8 34 -126 0 -256 -135 0 0 256 34 126 -34 126 0 192 135 0 0 -192 -34 -126 6091 948 11 MP stroke c9 67 0 6091 948 2 MP stroke gr 24 W 6125 1393 PD gs 5180 259 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 899 3076 4 MP PP -1080 0 0 1189 1080 0 0 -1189 899 3076 5 MP stroke 4 w DO SO 6 w 0 sg 899 3076 mt 1979 3076 L 899 1887 mt 1979 1887 L 899 3076 mt 899 1887 L 1979 3076 mt 1979 1887 L 899 3076 mt 1979 3076 L 899 3076 mt 899 1887 L 1034 3076 mt 1034 3064 L 1034 1887 mt 1034 1898 L 1001 3221 mt (1) s 1304 3076 mt 1304 3064 L 1304 1887 mt 1304 1898 L 1271 3221 mt (2) s 1574 3076 mt 1574 3064 L 1574 1887 mt 1574 1898 L 1541 3221 mt (3) s 1844 3076 mt 1844 3064 L 1844 1887 mt 1844 1898 L 1811 3221 mt (4) s 899 3021 mt 910 3021 L 1979 3021 mt 1967 3021 L 798 3065 mt (0) s 899 2805 mt 910 2805 L 1979 2805 mt 1967 2805 L 698 2849 mt (0.2) s 899 2589 mt 910 2589 L 1979 2589 mt 1967 2589 L 698 2633 mt (0.4) s 899 2373 mt 910 2373 L 1979 2373 mt 1967 2373 L 698 2417 mt (0.6) s 899 2157 mt 910 2157 L 1979 2157 mt 1967 2157 L 698 2201 mt (0.8) s 899 1941 mt 910 1941 L 1979 1941 mt 1967 1941 L 798 1985 mt (1) s 899 3076 mt 1979 3076 L 899 1887 mt 1979 1887 L 899 3076 mt 899 1887 L 1979 3076 mt 1979 1887 L 1238 1792 mt (mat-a2) s 643 2499 mt -90 rotate ( ) s 90 rotate 1421 3364 mt ( ) s gs 899 1887 1081 1190 MR c np DA c8 0 -90 1034 2031 2 MP stroke 1034 3021 PD SO 0 sg 67 0 1000 3021 2 MP stroke 67 0 1000 1941 2 MP stroke c8 34 0 -135 0 34 0 -34 178 0 812 135 0 0 -812 -34 -178 1000 3021 9 MP stroke c9 67 0 1000 3021 2 MP stroke gr c9 24 W 1034 3021 PD gs 899 1887 1081 1190 MR c np DA c8 1304 2841 PD 1304 3021 PD SO 0 sg 67 0 1270 3021 2 MP stroke 67 0 1270 2841 2 MP stroke c8 34 0 -135 0 34 0 -34 32 0 148 135 0 0 -148 -34 -32 1270 3021 9 MP stroke c9 67 0 1270 3021 2 MP stroke gr 1268 1941 mt 1340 1941 L 1304 1905 mt 1304 1977 L 1268 2121 mt 1340 2121 L 1304 2085 mt 1304 2157 L 1268 2031 mt 1340 2031 L 1304 1995 mt 1304 2067 L 1268 2121 mt 1340 2121 L 1304 2085 mt 1304 2157 L 1268 2031 mt 1340 2031 L 1304 1995 mt 1304 2067 L 1268 2391 mt 1340 2391 L 1304 2355 mt 1304 2427 L 1268 2121 mt 1340 2121 L 1304 2085 mt 1304 2157 L 1268 1941 mt 1340 1941 L 1304 1905 mt 1304 1977 L 1268 2031 mt 1340 2031 L 1304 1995 mt 1304 2067 L 1268 2211 mt 1340 2211 L 1304 2175 mt 1304 2247 L gs 899 1887 1081 1190 MR c np DA c8 0 -90 1574 2031 2 MP stroke 1574 3021 PD SO 0 sg 67 0 1540 3021 2 MP stroke 67 0 1540 1941 2 MP stroke c8 34 -178 0 -722 -135 0 0 722 34 178 -34 90 135 0 -34 -90 1540 2121 9 MP stroke c9 67 0 1540 2121 2 MP stroke gr 24 W 1574 3021 PD gs 899 1887 1081 1190 MR c np DA c8 1844 1941 PD 1844 3021 PD SO 0 sg 67 0 1810 3021 2 MP stroke 67 0 1810 1941 2 MP stroke c8 34 -194 0 -661 -135 0 0 661 34 194 -34 195 0 30 135 0 0 -30 -34 -195 1810 2166 11 MP stroke c9 67 0 1810 2166 2 MP stroke gr 24 W 1844 3021 PD gs 899 1887 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 2326 3076 4 MP PP -1080 0 0 1189 1080 0 0 -1189 2326 3076 5 MP stroke 4 w DO SO 6 w 0 sg 2326 3076 mt 3406 3076 L 2326 1887 mt 3406 1887 L 2326 3076 mt 2326 1887 L 3406 3076 mt 3406 1887 L 2326 3076 mt 3406 3076 L 2326 3076 mt 2326 1887 L 2461 3076 mt 2461 3064 L 2461 1887 mt 2461 1898 L 2428 3221 mt (1) s 2731 3076 mt 2731 3064 L 2731 1887 mt 2731 1898 L 2698 3221 mt (2) s 3001 3076 mt 3001 3064 L 3001 1887 mt 3001 1898 L 2968 3221 mt (3) s 3271 3076 mt 3271 3064 L 3271 1887 mt 3271 1898 L 3238 3221 mt (4) s 2326 3021 mt 2337 3021 L 3406 3021 mt 3394 3021 L 2225 3065 mt (0) s 2326 2805 mt 2337 2805 L 3406 2805 mt 3394 2805 L 2125 2849 mt (0.2) s 2326 2589 mt 2337 2589 L 3406 2589 mt 3394 2589 L 2125 2633 mt (0.4) s 2326 2373 mt 2337 2373 L 3406 2373 mt 3394 2373 L 2125 2417 mt (0.6) s 2326 2157 mt 2337 2157 L 3406 2157 mt 3394 2157 L 2125 2201 mt (0.8) s 2326 1941 mt 2337 1941 L 3406 1941 mt 3394 1941 L 2225 1985 mt (1) s 2326 3076 mt 3406 3076 L 2326 1887 mt 3406 1887 L 2326 3076 mt 2326 1887 L 3406 3076 mt 3406 1887 L 2752 1792 mt (mcb) s 2070 2499 mt -90 rotate ( ) s 90 rotate 2848 3364 mt ( ) s gs 2326 1887 1081 1190 MR c np DA c8 2461 3021 PD 2461 3021 PD SO 0 sg 67 0 2427 3021 2 MP stroke 67 0 2427 3021 2 MP stroke c8 34 0 -135 0 34 0 -34 0 135 0 -34 0 2427 3021 7 MP stroke c9 67 0 2427 3021 2 MP stroke gr c9 2425 2954 mt 2497 2954 L 2461 2918 mt 2461 2990 L gs 2326 1887 1081 1190 MR c np DA c8 0 -68 2731 2954 2 MP stroke 2731 3021 PD SO 0 sg 67 0 2697 3021 2 MP stroke 67 0 2697 2886 2 MP stroke c8 34 0 -135 0 34 0 -34 12 0 55 135 0 0 -55 -34 -12 2697 3021 9 MP stroke c9 67 0 2697 3021 2 MP stroke gr 2695 2684 mt 2767 2684 L 2731 2648 mt 2731 2720 L 2695 2751 mt 2767 2751 L 2731 2715 mt 2731 2787 L 2695 2346 mt 2767 2346 L 2731 2310 mt 2731 2382 L 2695 2413 mt 2767 2413 L 2731 2377 mt 2731 2449 L 2695 2481 mt 2767 2481 L 2731 2445 mt 2731 2517 L 2695 2751 mt 2767 2751 L 2731 2715 mt 2731 2787 L 2695 2346 mt 2767 2346 L 2731 2310 mt 2731 2382 L 2695 2413 mt 2767 2413 L 2731 2377 mt 2731 2449 L 2695 2211 mt 2767 2211 L 2731 2175 mt 2731 2247 L 2695 2481 mt 2767 2481 L 2731 2445 mt 2731 2517 L 2695 2278 mt 2767 2278 L 2731 2242 mt 2731 2314 L 2695 2143 mt 2767 2143 L 2731 2107 mt 2731 2179 L 2695 2211 mt 2767 2211 L 2731 2175 mt 2731 2247 L gs 2326 1887 1081 1190 MR c np DA c8 0 -68 3001 2954 2 MP stroke 3001 3021 PD SO 0 sg 67 0 2967 3021 2 MP stroke 67 0 2967 2886 2 MP stroke c8 34 0 -135 0 34 0 -34 12 0 55 135 0 0 -55 -34 -12 2967 3021 9 MP stroke c9 67 0 2967 3021 2 MP stroke gr 2965 2346 mt 3037 2346 L 3001 2310 mt 3001 2382 L 2965 2278 mt 3037 2278 L 3001 2242 mt 3001 2314 L 2965 2346 mt 3037 2346 L 3001 2310 mt 3001 2382 L 2965 2278 mt 3037 2278 L 3001 2242 mt 3001 2314 L 2965 2346 mt 3037 2346 L 3001 2310 mt 3001 2382 L 2965 2616 mt 3037 2616 L 3001 2580 mt 3001 2652 L 2965 2278 mt 3037 2278 L 3001 2242 mt 3001 2314 L 2965 2076 mt 3037 2076 L 3001 2040 mt 3001 2112 L 2965 2278 mt 3037 2278 L 3001 2242 mt 3001 2314 L gs 2326 1887 1081 1190 MR c np DA c8 0 -85 3271 2093 2 MP stroke 3271 3021 PD SO 0 sg 67 0 3237 3021 2 MP stroke 67 0 3237 2008 2 MP stroke c8 34 -135 -135 0 34 135 -34 168 0 625 135 0 0 -625 -34 -168 3237 2886 9 MP stroke c9 67 0 3237 2886 2 MP stroke gr 24 W 3271 3021 PD gs 2326 1887 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 3753 3076 4 MP PP -1080 0 0 1189 1080 0 0 -1189 3753 3076 5 MP stroke 4 w DO SO 6 w 0 sg 3753 3076 mt 4833 3076 L 3753 1887 mt 4833 1887 L 3753 3076 mt 3753 1887 L 4833 3076 mt 4833 1887 L 3753 3076 mt 4833 3076 L 3753 3076 mt 3753 1887 L 3888 3076 mt 3888 3064 L 3888 1887 mt 3888 1898 L 3855 3221 mt (1) s 4158 3076 mt 4158 3064 L 4158 1887 mt 4158 1898 L 4125 3221 mt (2) s 4428 3076 mt 4428 3064 L 4428 1887 mt 4428 1898 L 4395 3221 mt (3) s 4698 3076 mt 4698 3064 L 4698 1887 mt 4698 1898 L 4665 3221 mt (4) s 3753 3021 mt 3764 3021 L 4833 3021 mt 4821 3021 L 3652 3065 mt (0) s 3753 2805 mt 3764 2805 L 4833 2805 mt 4821 2805 L 3552 2849 mt (0.2) s 3753 2589 mt 3764 2589 L 4833 2589 mt 4821 2589 L 3552 2633 mt (0.4) s 3753 2373 mt 3764 2373 L 4833 2373 mt 4821 2373 L 3552 2417 mt (0.6) s 3753 2157 mt 3764 2157 L 4833 2157 mt 4821 2157 L 3552 2201 mt (0.8) s 3753 1941 mt 3764 1941 L 4833 1941 mt 4821 1941 L 3652 1985 mt (1) s 3753 3076 mt 4833 3076 L 3753 1887 mt 4833 1887 L 3753 3076 mt 3753 1887 L 4833 3076 mt 4833 1887 L 4163 1792 mt (mig1) s 3497 2499 mt -90 rotate ( ) s 90 rotate 4275 3364 mt ( ) s gs 3753 1887 1081 1190 MR c np DA c8 3888 1941 PD 0 -73 3888 3021 2 MP stroke SO 0 sg 67 0 3854 3021 2 MP stroke 67 0 3854 1941 2 MP stroke c8 34 -185 0 -822 -135 0 0 822 34 185 -34 0 135 0 -34 0 3854 1941 9 MP stroke c9 67 0 3854 1941 2 MP stroke gr c9 24 W 3888 3021 PD gs 3753 1887 1081 1190 MR c np DA c8 4158 1941 PD 4158 3021 PD SO 0 sg 67 0 4124 3021 2 MP stroke 67 0 4124 1941 2 MP stroke c8 34 -196 -135 0 34 196 -34 199 0 685 135 0 0 -685 -34 -199 4124 2825 9 MP stroke c9 67 0 4124 2825 2 MP stroke gr 24 W 4158 3021 PD gs 3753 1887 1081 1190 MR c np DA c8 4428 1941 PD 4428 3021 PD SO 0 sg 67 0 4394 3021 2 MP stroke 67 0 4394 1941 2 MP stroke c8 34 -198 0 -882 -135 0 0 882 34 198 -34 0 135 0 -34 0 4394 1941 9 MP stroke c9 67 0 4394 1941 2 MP stroke gr 24 W 4428 3021 PD gs 3753 1887 1081 1190 MR c np DA c8 0 -98 4698 2039 2 MP stroke 4698 3021 PD SO 0 sg 67 0 4664 3021 2 MP stroke 67 0 4664 1941 2 MP stroke c8 34 -180 0 -507 -135 0 0 507 34 180 -34 181 0 114 135 0 0 -114 -34 -181 4664 2334 11 MP stroke c9 67 0 4664 2334 2 MP stroke gr 24 W 4698 3021 PD gs 3753 1887 1081 1190 MR c np gr 1 sg 0 1189 1080 0 0 -1189 5180 3076 4 MP PP -1080 0 0 1189 1080 0 0 -1189 5180 3076 5 MP stroke 4 w DO SO 6 w 0 sg 5180 3076 mt 6260 3076 L 5180 1887 mt 6260 1887 L 5180 3076 mt 5180 1887 L 6260 3076 mt 6260 1887 L 5180 3076 mt 6260 3076 L 5180 3076 mt 5180 1887 L 5315 3076 mt 5315 3064 L 5315 1887 mt 5315 1898 L 5282 3221 mt (1) s 5585 3076 mt 5585 3064 L 5585 1887 mt 5585 1898 L 5552 3221 mt (2) s 5855 3076 mt 5855 3064 L 5855 1887 mt 5855 1898 L 5822 3221 mt (3) s 6125 3076 mt 6125 3064 L 6125 1887 mt 6125 1898 L 6092 3221 mt (4) s 5180 3021 mt 5191 3021 L 6260 3021 mt 6248 3021 L 5079 3065 mt (0) s 5180 2805 mt 5191 2805 L 6260 2805 mt 6248 2805 L 4979 2849 mt (0.2) s 5180 2589 mt 5191 2589 L 6260 2589 mt 6248 2589 L 4979 2633 mt (0.4) s 5180 2373 mt 5191 2373 L 6260 2373 mt 6248 2373 L 4979 2417 mt (0.6) s 5180 2157 mt 5191 2157 L 6260 2157 mt 6248 2157 L 4979 2201 mt (0.8) s 5180 1941 mt 5191 1941 L 6260 1941 mt 6248 1941 L 5079 1985 mt (1) s 5180 3076 mt 6260 3076 L 5180 1887 mt 6260 1887 L 5180 3076 mt 5180 1887 L 6260 3076 mt 6260 1887 L 5636 1792 mt (crp) s 4924 2499 mt -90 rotate ( ) s 90 rotate 5702 3364 mt ( ) s gs 5180 1887 1081 1190 MR c np DA c8 0 -90 5315 2256 2 MP stroke 5315 3021 PD SO 0 sg 67 0 5281 3021 2 MP stroke 67 0 5281 2166 2 MP stroke c8 34 -90 -135 0 34 90 -34 177 0 498 135 0 0 -498 -34 -177 5281 2931 9 MP stroke c9 67 0 5281 2931 2 MP stroke gr c9 24 W 5315 3021 PD gs 5180 1887 1081 1190 MR c np DA c8 0 -135 5585 2301 2 MP stroke 0 -45 5585 3021 2 MP stroke SO 0 sg 67 0 5551 3021 2 MP stroke 67 0 5551 2166 2 MP stroke c8 34 -156 0 -429 -135 0 0 429 34 156 -34 90 135 0 -34 -90 5551 2391 9 MP stroke c9 67 0 5551 2391 2 MP stroke gr 24 W 5585 3021 PD gs 5180 1887 1081 1190 MR c np DA c8 0 -180 5855 2256 2 MP stroke 5855 3021 PD SO 0 sg 67 0 5821 3021 2 MP stroke 67 0 5821 2076 2 MP stroke c8 34 -67 -135 0 34 67 -34 177 0 521 135 0 0 -521 -34 -177 5821 2954 9 MP stroke c9 67 0 5821 2954 2 MP stroke gr 24 W 5855 3021 PD gs 5180 1887 1081 1190 MR c np DA c8 0 -270 6125 2436 2 MP stroke 6125 3021 PD SO 0 sg 67 0 6091 3021 2 MP stroke 67 0 6091 2166 2 MP stroke c8 34 -45 -135 0 34 45 -34 135 0 405 135 0 0 -405 -34 -135 6091 2976 9 MP stroke c9 67 0 6091 2976 2 MP stroke gr 24 W 6125 3021 PD gs 5180 1887 1081 1190 MR c np gr end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 914 1750 a Fq(\(a\))f(true)g(motif)f(only)946 b(\(b\))19 b(true)g(motif)f(+)h(deco)o(y)450 1855 y FB(Figure)i(4:)28 b Fq(Motif)20 b(detection)h(on)f(an)h(independent)h(test)d(dataset)i (\(the)f(8)g(motifs)g(in)g(Figure)g(1\(a\)\).)26 b(F)o(our)20 b(models)450 1936 y(used)f(are)f(inde)o(x)o(ed)i(as:)i(1.)h (HMDM\(bell\);)c(2.)k(HMDM\(U\);)18 b(3.)23 b(HMDM-mixture;)c(4.)k(PM.) 18 b(Boxplot)h(of)f(hit-rate)450 2018 y(is)h(for)f(80)i(randomly)g (generated)g(e)o(xperiments)g(\(the)f(center)g(of)g(the)g(notch)g(is)g (the)g(median\).)450 2182 y FB(Ho)n(w)k(well)h(does)f(HMDM)g (generalize?)33 b(W)-7 b(e)24 b(split)g(our)f(data)g(into)g(a)g (training)f(set)i(and)f(a)h(testing)f(set,)450 2272 y(and)g(further)g 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Fl(Pr)m(oc.)18 b(of)h(13th)h(Confer)m(ence)g(on)f (Advances)h(in)f(Neur)o(al)g(Information)h(Pr)m(ocessing)f(Systems)p Fq(,)g(2000.)487 3232 y([6])42 b(D.)14 b(Heck)o(erman,)j(D.)e(Geiger)m (,)g(and)h(D.)e(M.)h(Chick)o(ering.)20 b(Learning)15 b(Bayesian)h(netw)o(orks:)22 b(the)15 b(combination)616 3313 y(of)k(kno)n(wledge)i(and)e(statistics)f(data.)27 b Fl(Mac)o(hine)20 b(Learning)p Fq(,)g(20:197\226243,)h(1995.)487 3428 y([7])42 b(C.)18 b(La)o(wrence)g(and)h(A.)f(Reilly)-5 b(.)25 b(An)18 b(e)o(xpectation)i(maximization)f(\(EM\))e(algorithm)i (for)f(the)h(identi\002cation)616 3509 y(and)k(characterization)h(of)e (common)i(sites)f(in)f(unaligned)i(biopolymer)g(sequences.)41 b Fl(Pr)m(oteins)p Fq(,)22 b(7:41\22651,)616 3591 y(1990.)487 3705 y([8])42 b(C.E.)23 b(La)o(wrence,)i(S.F)-6 b(.)22 b(Altschul,)j(M.S.)e(Boguski,)j(J.S.)c(Liu,)j(A.F)-6 b(.)22 b(Neuw)o(ald,)k(and)f(J.C.)e(W)-6 b(ootton.)43 b(De-)616 3787 y(tecting)25 b(subtle)h(sequence)h(signals:)36 b(A)25 b(Gibbs)g(sampling)h(strate)o(gy)f(for)g(multiple)h(alignment.) 47 b Fl(Science)p Fq(,)616 3868 y(262:208\226214,)22 b(1993.)487 3983 y([9])42 b(J.)25 b(Liu,)h(X.)f(Liu,)h(and)g(D.L.)f (Brutlag.)47 b(Bioprospector:)37 b(Disco)o(v)o(ering)27 b(conserv)o(ed)g(DN)m(A)e(motifs)g(in)g(up-)616 4064 y(stream)19 b(re)o(gulatory)h(re)o(gions)f(of)g(co-e)o(xpressed)i (genes.)27 b(In)19 b Fl(Pr)m(oc.)f(of)h(PSB)p Fq(,)f(2001.)450 4178 y([10])42 b(J.S.)28 b(Liu,)k(A.F)-6 b(.)28 b(Neuw)o(ald,)33 b(and)e(C.E.)d(La)o(wrence.)62 b(Bayesian)30 b(models)g(for)g(multiple) f(local)h(sequence)616 4260 y(alignment)20 b(and)f(Gibbs)g(sampling)h (strate)o(gies.)27 b Fl(J)n(.)18 b(Amer)-8 b(.)18 b(Statistical)h (Assoc)p Fq(,)g(90:1156\2261169,)j(1995.)450 4374 y([11])42 b(A.)19 b(M.)g(Michelson.)30 b(Deciphering)20 b(genetic)g(re)o (gulatory)g(codes:)25 b(A)19 b(challenge)i(for)e(functional)h (genomics.)616 4456 y Fl(Pr)m(oc.)e(Natl.)g(Acad.)h(Sci.)g(USA)p Fq(,)f(99:546\226548,)k(2002.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF