Search results for " Computer Science"

showing 10 items of 3983 documents

Signal Restoration via a Splitting Approach

2012

International audience; In the present study, a novel signal restoration method from noisy data samples is presented and is termed as "signal split (SSplit)" approach. The new method utilizes Stein unbiased risk estimate estimator to split the signal, the Lipschitz exponents to identify noise elements and a heuristic approach for the signal reconstruction. However, unlike many noise removal techniques, the present method works only in the non-orthogonal domain. Signal restoration was performed on each individual part by finding the best compromise between the data samples and the smoothing criteria. Statistical results are quite promising and suggest better performance than the conventional…

Mathematical optimization[ INFO.INFO-TS ] Computer Science [cs]/Signal and Image Processingsplit or segmentationthresholding02 engineering and technology[ SPI.SIGNAL ] Engineering Sciences [physics]/Signal and Image processingSignalmodulus maxima[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing0202 electrical engineering electronic engineering information engineeringLipschitz exponentMathematicscontinuous wavelet transformSignal reconstructionHeuristicNoise (signal processing)Estimator020206 networking & telecommunicationsLipschitz continuityStein unbiased risk estimatewavelet transform modulus maxima020201 artificial intelligence & image processingAlgorithm[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processingSmoothingEnergy (signal processing)
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Optimal Local Routing Strategies for Community Structured Time Varying Communication Networks

2017

International audience; In time varying data communication networks (TVCN), traffic congestion, system utility maximization and network performance enhancement are the prominent issues. All these issues can be resolved either by optimizing the network structure or by selecting efficient routing approaches. In this paper, we focus on the design of a time varying network model and propose an algorithm to find efficient user route in this network. Centrality plays a very important role in finding congestion free routes. Indeed, the more a node is central, the more it can be congested by the flow coming from or going to its neighborhood. For that reason, classically, routes are chosen such that…

Mathematical optimization[INFO.INFO-NI] Computer Science [cs]/Networking and Internet Architecture [cs.NI]Computer scienceNode (networking)Distributed computing[ INFO.INFO-NI ] Computer Science [cs]/Networking and Internet Architecture [cs.NI]Community structure01 natural sciencesTelecommunications network010305 fluids & plasmasCommunity structure[INFO.INFO-NI]Computer Science [cs]/Networking and Internet Architecture [cs.NI]Data communication networks modelTraffic congestionBetweenness centrality0103 physical sciencesNetwork performanceSystem utilityRouting (electronic design automation)010306 general physicsCentralityCloseness and betweenness centrality
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Resource-constrained project scheduling: A critical activity reordering heuristic

2003

Abstract In this paper, we present a new metaheuristic algorithm for the resource-constrained project-scheduling problem. The procedure is a non-standard implementation of fundamental concepts of tabu search without explicitly using memory structures embedded in a population-based framework. The procedure makes use of a fan search strategy to intensify the search, whereas a strategic oscillation mechanism loosely related to the forward/backward technique provides the necessary diversification. Our implementation employs the topological order (TO) representation of schedules. To explore the TO vector space we introduce three types of moves, two of them based on the concept of relative critic…

Mathematical optimizationeducation.field_of_studyScheduleInformation Systems and ManagementGeneral Computer ScienceHeuristicComputer scienceHeuristic (computer science)PopulationManagement Science and Operations ResearchIndustrial and Manufacturing EngineeringTabu searchModeling and SimulationFeature (machine learning)Guided Local SearcheducationRepresentation (mathematics)HeuristicsMetaheuristicEuropean Journal of Operational Research
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Failure of the local-to-global property for CD(K,N) spaces

2016

Given any K and N we show that there exists a compact geodesic metric measure space satisfying locally the CD(0,4) condition but failing CD(K,N) globally. The space with this property is a suitable non convex subset of R^2 equipped with the l^\infty-norm and the Lebesgue measure. Combining many such spaces gives a (non compact) complete geodesic metric measure space satisfying CD(0,4) locally but failing CD(K,N) globally for every K and N.

Mathematics - Differential GeometryDiscrete mathematicsProperty (philosophy)GeodesicLebesgue measureExistential quantification010102 general mathematicsMetric Geometry (math.MG)Space (mathematics)01 natural sciencesMeasure (mathematics)Theoretical Computer ScienceMathematics (miscellaneous)Mathematics - Metric GeometryDifferential Geometry (math.DG)0103 physical sciencesMetric (mathematics)FOS: Mathematics010307 mathematical physics0101 mathematics53C23 (Primary) 28A33 49Q20 (Secondary)MathematicsANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
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Tensor tomography on Cartan–Hadamard manifolds

2017

We study the geodesic X-ray transform on Cartan-Hadamard manifolds, and prove solenoidal injectivity of this transform acting on functions and tensor fields of any order. The functions are assumed to be exponentially decaying if the sectional curvature is bounded, and polynomially decaying if the sectional curvature decays at infinity. This work extends the results of Lehtonen (2016) to dimensions $n \geq 3$ and to the case of tensor fields of any order.

Mathematics - Differential GeometryPure mathematicsGeodesic01 natural sciencesTheoretical Computer ScienceTensor fieldHadamard transform44A12 53C21 53C22 45Q05Euclidean geometryFOS: MathematicsSectional curvatureTensor0101 mathematicsMathematical PhysicsMathematicsCartan-Hadamard manifoldsSolenoidal vector fieldApplied Mathematics010102 general mathematicsComputer Science Applications010101 applied mathematicsDifferential Geometry (math.DG)Bounded functionSignal Processingtensor tomographyMathematics::Differential GeometryInverse Problems
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Combinatorial Gray codes for classes of pattern avoiding permutations

2007

The past decade has seen a flurry of research into pattern avoiding permutations but little of it is concerned with their exhaustive generation. Many applications call for exhaustive generation of permutations subject to various constraints or imposing a particular generating order. In this paper we present generating algorithms and combinatorial Gray codes for several families of pattern avoiding permutations. Among the families under consideration are those counted by Catalan, Schr\"oder, Pell, even index Fibonacci numbers and the central binomial coefficients. Consequently, this provides Gray codes for $\s_n(\tau)$ for all $\tau\in \s_3$ and the obtained Gray codes have distances 4 and 5.

Mathematics::CombinatoricsFibonacci numberPattern avoiding permutationsGeneral Computer ScienceOrder (ring theory)Generating algorithms94B25Gray codesCombinatorial algorithms05A05; 94B25; 05A15Theoretical Computer ScienceCombinatoricsSet (abstract data type)Constraint (information theory)Gray codePermutation05A05ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: MathematicsMathematics - CombinatoricsCombinatorics (math.CO)05A15Binomial coefficientComputer Science(all)MathematicsTheoretical Computer Science
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Catalan and Schröder permutations sortable by two restricted stacks

2020

Abstract Pattern avoiding machines were introduced recently by Claesson, Cerbai and Ferrari as a particular case of the two-stacks in series sorting device. They consist of two restricted stacks in series, ruled by a right-greedy procedure and the stacks avoid some specified patterns. Some of the obtained results have been further generalized to Cayley permutations by Cerbai, specialized to particular patterns by Defant and Zheng, or considered in the context of functions over the symmetric group by Berlow. In this work we study pattern avoiding machines where the first stack avoids a pair of patterns of length 3 and investigate those pairs for which sortable permutations are counted by the…

Mathematics::CombinatoricsSeries (mathematics)010102 general mathematicsSortingContext (language use)0102 computer and information sciences01 natural scienceslanguage.human_languageComputer Science ApplicationsTheoretical Computer ScienceCatalan numberCombinatorics[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]Stack (abstract data type)010201 computation theory & mathematicsSymmetric groupSignal Processing[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]languageBinomial transformCatalan0101 mathematicsComputingMilieux_MISCELLANEOUSInformation SystemsMathematics
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AC is Equivalent to the Coherence Principle. Corrigendum to my Paper "Induction Principles for Sets"

2009

Theorem 3.7 of [1] is corrected. Two coherence principles and the ultrafilter property for partial functions contained in a relation are formulated. The equivalence of the coherent principles with AC and the equivalence of the ultrafilter property with BPI is shown.

Mathematics::LogicAlgebra and Number TheoryComputational Theory and MathematicsPartial functionUltrafilterMathematical analysisMathematics::General TopologyAstrophysics::Cosmology and Extragalactic AstrophysicsEquivalence (formal languages)Information SystemsTheoretical Computer ScienceMathematicsFundamenta Informaticae
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The double-incompleteness theorem

1976

Let T be a strong enough theory, and M - its metatheory, both are consistent. Then there is a closed arithmetical formula H that is undecidable in T, but one cannot prove in M neither that H is T-unprovable, nor that H is T-unrefutable. For English translation and proof, see K. Podnieks What is mathematics: Godel's theorem and around.

Mathematics::Logicincompleteness theoremComputer Science::Logic in Computer Sciencedouble incompletenessComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)incompletenessComputer Science::Formal Languages and Automata Theory
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The Heterogeneous Fleet Vehicle Routing Problem with Draft Limits

2023

Over the past two decades, international maritime transport has been characterized by the advent of ever larger ships. This phenomenon is known as naval gigantism. If, on the one hand, naval gigantism allows to reduce transport costs by exploiting the economies of scale achievable by large ships, on the other hand, it implies a series of operational issues. Indeed, due to their large draft, such giant vessels are not allowed to enter small ports when fully or near-fully loaded, and in some cases, they cannot enter such small ports at all. In fact, their draft can strongly vary depending on the load on board. This implies restrictions for vessels in accessing ports, which impact not only at …

MatheuristicGeneral Computer ScienceModeling and SimulationLarge Neighborhood SearchDraft limitsHeterogeneous fleetManagement Science and Operations ResearchMaritime transportationRoutingComputers & Operations Research
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