Search results for "PROGRAM"

showing 10 items of 5938 documents

Branch and bound for the cutwidth minimization problem

2013

The cutwidth minimization problem consists of finding a linear arrangement of the vertices of a graph where the maximum number of cuts between the edges of the graph and a line separating consecutive vertices is minimized. We first review previous approaches for special classes of graphs, followed by lower bounds and then a linear integer formulation for the general problem. We then propose a branch-and-bound algorithm based on different lower bounds on the cutwidth of partial solutions. Additionally, we introduce a Greedy Randomized Adaptive Search Procedure (GRASP) heuristic to obtain good initial solutions. The combination of the branch-and-bound and GRASP methods results in optimal solu…

Discrete mathematicsGeneral Computer ScienceBranch and boundGeneral problemMinimization problemGRASPCPU timeManagement Science and Operations ResearchUpper and lower boundsCombinatoricsModeling and SimulationInteger programmingGreedy randomized adaptive search procedureMathematicsComputers & Operations Research
researchProduct

Optimization procedures for the bipartite unconstrained 0-1 quadratic programming problem

2014

The bipartite unconstrained 0-1 quadratic programming problem (BQP) is a difficult combinatorial problem defined on a complete graph that consists of selecting a subgraph that maximizes the sum of the weights associated with the chosen vertices and the edges that connect them. The problem has appeared under several different names in the literature, including maximum weight induced subgraph, maximum weight biclique, matrix factorization and maximum cut on bipartite graphs. There are only two unpublished works (technical reports) where heuristic approaches are tested on BQP instances. Our goal is to combine straightforward search elements to balance diversification and intensification in bot…

Discrete mathematicsGeneral Computer ScienceIterated local searchMaximum cutInduced subgraphManagement Science and Operations ResearchComplete bipartite graphCombinatoricsBQPModeling and SimulationBipartite graphBeam searchQuadratic programmingMathematicsofComputing_DISCRETEMATHEMATICSMathematicsComputers & Operations Research
researchProduct

Collection Principles in Dependent Type Theory

2002

We introduce logic-enriched intuitionistic type theories, that extend intuitionistic dependent type theories with primitive judgements to express logic. By adding type theoretic rules that correspond to the collection axiom schemes of the constructive set theory CZF we obtain a generalisation of the type theoretic interpretation of CZF. Suitable logic-enriched type theories allow also the study of reinterpretations of logic. We end the paper with an application to the double-negation interpretation.

Discrete mathematicsInterpretation (logic)Dependent type theory constructive set theory propositions-as-typesComputer scienceConstructive set theoryIntuitionistic logicIntuitionistic type theoryDependent typeAlgebraMathematics::LogicTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESDependent type theoryType theoryTheoryofComputation_LOGICSANDMEANINGSOFPROGRAMSComputer Science::Logic in Computer ScienceDouble negationSet theoryRule of inferenceAxiom
researchProduct

The Asynchronous Leontief Model

1992

International audience; The traditional dynamic Leontief model is synchronous: every vertex acts simultaneously. A model with delays of action has been proposed, but it still remains synchronous. In this paper we propose an asynchronous version of the model that allows realistic computations. We fiurnish an algorithm and a program.

Discrete mathematicsLeontief modelVertex (graph theory)JEL : C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C67 - Input–Output ModelsEconomics and EconometricsJEL: C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C67 - Input–Output ModelsComputer scienceComputationJEL: D - Microeconomics/D.D5 - General Equilibrium and Disequilibrium/D.D5.D57 - Input–Output Tables and Analysis[SHS.ECO]Humanities and Social Sciences/Economics and FinanceAction (physics)JEL: C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C63 - Computational Techniques • Simulation ModelingJEL : C - Mathematical and Quantitative Methods/C.C6 - Mathematical Methods • Programming Models • Mathematical and Simulation Modeling/C.C6.C63 - Computational Techniques • Simulation ModelingAsynchronous communicationJEL : D - Microeconomics/D.D5 - General Equilibrium and Disequilibrium/D.D5.D57 - Input–Output Tables and Analysis[ SHS.ECO ] Humanities and Social Sciences/Economies and finances[SHS.ECO] Humanities and Social Sciences/Economics and Finance
researchProduct

Quantum Finite Automata and Logics

2006

The connection between measure once quantum finite automata (MO-QFA) and logic is studied in this paper. The language class recognized by MO-QFA is compared to languages described by the first order logics and modular logics. And the equivalence between languages accepted by MO-QFA and languages described by formulas using Lindstrom quantifier is shown.

Discrete mathematicsLindström quantifierNested wordAbstract family of languagesComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Computer Science::Computational ComplexityComputer Science::Digital LibrariesAlgebraTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESMonoidal t-norm logicComputer Science::Programming LanguagesQuantum finite automataEquivalence (formal languages)T-norm fuzzy logicsComputer Science::Formal Languages and Automata TheoryAND gateMathematics
researchProduct

Parsimony hierarchies for inductive inference

2004

AbstractFreivalds defined an acceptable programming system independent criterion for learning programs for functions in which the final programs were required to be both correct and “nearly” minimal size. i.e.. within a computable function of being purely minimal size. Kinber showed that this parsimony requirement on final programs limits learning power. However, in scientific inference, parsimony is considered highly desirable. Alim-computable functionis (by definition) one calculable by a total procedure allowed to change its mind finitely many times about its output. Investigated is the possibility of assuaging somewhat the limitation on learning power resulting from requiring parsimonio…

Discrete mathematicsLogic68Q32limiting computable functionComputational learning theoryFunction (mathematics)Inductive reasoningNotationminimal size programConstructivePhilosophyComputable functionComputational learning theoryBounded functionArithmeticOrdinal notationconstructive ordinal notationsMathematics
researchProduct

On the best Lipschitz extension problem for a discrete distance and the discrete ∞-Laplacian

2012

Abstract This paper concerns the best Lipschitz extension problem for a discrete distance that counts the number of steps. We relate this absolutely minimizing Lipschitz extension with a discrete ∞-Laplacian problem, which arises as the dynamic programming formula for the value function of some e -tug-of-war games. As in the classical case, we obtain the absolutely minimizing Lipschitz extension of a datum f by taking the limit as p → ∞ in a nonlocal p -Laplacian problem.

Discrete mathematicsMathematics(all)General MathematicsApplied MathematicsMathematics::Analysis of PDEsTug-of-war gamesExtension (predicate logic)Lipschitz continuityDynamic programmingLipschitz domainBellman equationInfinity LaplacianNonlocal p-Laplacian problemLimit (mathematics)Lipschitz extensionLaplacian matrixLaplace operatorMathematicsJournal de Mathématiques Pures et Appliquées
researchProduct

On generalized a-Browder's theorem

2007

We characterize the bounded linear operators T satisfying generalized a-Browder's theorem, or generalized a-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part H0(�I T) asbelongs to certain sets of C. In the last part we give a general framework in which generalized a-Weyl's theorem follows for several classes of operators. 1. Preliminaries. Let L(X) denote the space of bounded linear oper- ators on an infinite-dimensional complex Banach space X. For T ∈ L(X), denote by α(T) the dimension of the kernel ker T, and by β(T) the codi- mension of the range T(X). The operator T ∈ L(X) is called upper semi- Fredholm if α(T) < ∞ and T(X) is closed, and lower …

Discrete mathematicsMathematics::Functional AnalysisFredholm theoryMathematics::Operator AlgebrasGeneral MathematicsFredholm operatorgeneralized Browder's theoremBanach spaceMathematics::Spectral TheoryFredholm theorySVEPCombinatoricssymbols.namesakeKernel (algebra)Operator (computer programming)Mathematics Subject ClassificationIntegerSettore MAT/05 - Analisi MatematicaMathematics::K-Theory and HomologyBounded functionsymbolsgeneralized Weyl's theoremMathematicsStudia Mathematica
researchProduct

On the structure of the ultradistributions of Beurling type

2008

Let O be a nonempty open set of the k-dimensional euclidean space Rk. In this paper, we give a structure theorem on the ultradistributions of Beurling type in O. Also, other structure results on certain ultradistributions are obtained, in terms of complex Borel measures in O.

Discrete mathematicsMathematics::Functional AnalysisPure mathematicsAlgebra and Number TheoryEuclidean spaceRiesz–Markov–Kakutani representation theoremApplied MathematicsOpen setStructure (category theory)Banach spaceType (model theory)Computational MathematicsLocally convex topological vector spaceGeometry and TopologyAnalysisStructured program theoremMathematicsRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
researchProduct

On the Class of Languages Recognizable by 1-Way Quantum Finite Automata

2007

It is an open problem to characterize the class of languages recognized by quantum finite automata (QFA). We examine some necessary and some sufficient conditions for a (regular) language to be recognizable by a QFA. For a subclass of regular languages we get a condition which is necessary and sufficient. Also, we prove that the class of languages recognizable by a QFA is not closed under union or any other binary Boolean operation where both arguments are significant.

Discrete mathematicsNested wordComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)0102 computer and information sciences02 engineering and technologyComputer Science::Computational Complexityω-automaton01 natural sciencesDeterministic pushdown automatonDeterministic finite automatonRegular language010201 computation theory & mathematicsProbabilistic automaton0202 electrical engineering electronic engineering information engineeringComputer Science::Programming LanguagesQuantum finite automata020201 artificial intelligence & image processingNondeterministic finite automatonComputer Science::Formal Languages and Automata TheoryMathematics
researchProduct