Some aspects of studying an optimization or decision problem in different computational models (original) (raw)

An Algebraic Theory of Complexity for Discrete Optimization

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SIAM Journal on Computing, 2013

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An algebraic theory of complexity for discrete optimisation

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On the complexity of quadratic programming in real number models of computation

Klaus Meer

Theoretical Computer Science, 1994

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Algebraic Characterizations of Complexity-Theoretic Classes of Real Functions, Laboratoire d’informatique de l’école polytechnique

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Algebraic Complexity Theory

Peter Buergisser

1997

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Lecture Notes on Computational Complexity

zoso guidi

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Algebraic Characterizations of Complexity-Theoretic Classes of Real Functions

Olivier Bournez

2009

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On a theory of computation and complexity over the real numbers: NPNPNP- completeness, recursive functions and universal machines

Michael Shub, Lenore Blum

Bulletin of the American Mathematical Society, 1989

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Notes on Computational Complexity Theory CPSC 468/568: Spring 2017

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Computability and Complexity of Polynomial Optimization Problems

Teresa Krick, Bernd Bank

Lecture Notes in Economics and Mathematical Systems, 1992

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Model-Theoretic Characterization of Complexity Classes

Walid Gomaa

2009

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Algebraic Characterization of Complexity Classes of Computable Real Functions

Olivier Bournez

lix.polytechnique.fr

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On a theory of computation over the real numbers; NP completeness, recursive functions and universal machines

Steve Smale, Michael Shub, Lenore Blum

Foundations of Computer Science, …, 1988

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Abstract Some Results in Computational Complexity

ALI JUMA

2008

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An algebraic theory of complexity for valued constraints: Establishing a Galois connection

Páidí Creed

Mathematical Foundations of Computer Science 2011, 2011

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Real Computation and Complexity Dagstuhl Seminar

Klaus Meer

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Counting complexity classes for numeric computations II: algebraic and semialgebraic sets

Peter Buergisser

Corr, 2003

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Time-Space Tradeoffs in Algebraic Complexity Theory

Luis M Pardo, J. Heintz

Journal of Complexity, 2000

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Complexity and Real Computation: A Manifesto

Michael Shub, Lenore Blum

International Journal of Bifurcation and Chaos, 1996

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A survey of techniques in applied computational complexity

Robert Meersman

Journal of Computational and Applied Mathematics, 1975

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Some lower bounds for the complexity of the linear programming feasibility problem over the reals

Bart Kuijpers

Journal of Complexity, 2009

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Complexity theory on real numbers and functions

Christoph Kreitz

Lecture Notes in Computer Science, 1982

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An Overview of the Theory of Computational Complexity

J. Hartmanis, John Hopcroft

Journal of the ACM, 1971

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Saturation and stability in the theory of computation over the reals

Pascal Koiran

Annals of Pure and Applied Logic, 1999

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Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets

Martin Lotz

Foundations of Computational …, 2005

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On the Relations Between Discrete and Continuous Complexity Theory

Klaus Meer

Mathematical Logic Quarterly, 1995

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Characterizing Polynomial Time Computability of Rational and Real Functions

Walid Gomaa

Proc. of the 5th International Workshop on De- velopments in Computational Models 2009, 2009

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On the computational structure of the connected components of a hard problem

Klaus Meer

Information Processing Letters, 1999

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Theory and Applications of Models of Computation

Mitsunori Ogihara

Lecture Notes in Computer Science, 2013

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