Search results for " optimization."

showing 10 items of 2333 documents

Parametric and nonparametric methods to generate time-varying surrogate data.

2009

We present both nonparametric and parametric approaches to generating time-varying surrogate data. Nonparametric and parametric approaches are based on the use of the short-time Fourier transform and a time-varying autoregressive model, respectively. Time-varying surrogate data (TVSD) can be used to determine the statistical significance of the linear and nonlinear coherence function estimates. Two advantages of the TVSD are that it keeps one from having to make an arbitrary decision about the significance of the coherence value, and it properly takes into account statistical significance levels, which may change with time. Our simulation examples and experimental results on blood pressure …

Mathematical optimizationTime FactorsNormal DistributionBiomedical EngineeringBlood PressureHealth InformaticsStatistics NonparametricSurrogate dataNormal distributionsymbols.namesakeHeart RateHumansCoherence (signal processing)Computer Simulation1707MathematicsParametric statisticsFourier AnalysisNonparametric statisticsRegression analysisAutoregressive modelFourier analysisData Interpretation StatisticalSignal ProcessingSettore ING-INF/06 - Bioingegneria Elettronica E InformaticasymbolsRegression AnalysisAlgorithmAlgorithms
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Design of robust observer for T-S fuzzy time-delayed systems subject to unknown inputs

2013

In this paper, a novel approach is proposed to design a robust observer for a class of Takagi-Sugeno (T-S) fuzzy models with unknown inputs and delays. The main contribution of this paper is to consider unknown inputs and a mixed neutral and discrete delay in the model. Also, the system is subject to disturbances, which are imposed on both state and output signals. Delay-dependent sufficient conditions for the design of an unknown input T-S observer with time delays are given in terms of linear matrix inequalities (LMIs). Some relaxations are introduced by using intermediate variables. A numerical example is given to illustrate the effectiveness of the given results.

Mathematical optimizationTime delaysTime delayedObserver (quantum physics)Control theoryComputer scienceSubject (grammar)Fuzzy control systemState (computer science)Linear matrixFuzzy logic2013 International Conference on Fuzzy Theory and Its Applications (iFUZZY)
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Optimal Paths on Urban Networks Using Travelling Times Prevision

2012

We deal with an algorithm that, once origin and destination are fixed, individuates the route that permits to reach the destination in the shortest time, respecting an assigned maximal travel time, and with risks measure below a given threshold. A fluid dynamic model for road networks, according to initial car densities on roads and traffic coefficients at junctions, forecasts the future traffic evolution, giving dynamical weights to a constrained 𝐾 shortest path algorithm. Simulations are performed on a case study to test the efficiency of the proposed procedure.

Mathematical optimizationTraffic congestion reconstruction with Kerner's three-phase theoryArticle SubjectComputer scienceFluid dynamic model; K shortest path algorithm; Travelling times previsionGeneral EngineeringTraffic simulationK shortest path algorithmMeasure (mathematics)lcsh:QA75.5-76.95Computer Science ApplicationsTraffic congestionFluid dynamic modelModeling and SimulationShortest path problemComputer Science::Networking and Internet Architecturelcsh:Electronic computers. Computer scienceTravelling times previsionDijkstra's algorithmConstrained Shortest Path FirstSimulationTraffic waveModelling and Simulation in Engineering
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Representation of capacity drop at a road merge via point constraints in a first order traffic model

2018

We reproduce the capacity drop phenomenon at a road merge by implementing a non-local point constraint at the junction in a first order traffic model. We call capacity drop the situation in which the outflow through the junction is lower than the receiving capacity of the outgoing road, as too many vehicles trying to access the junction from the incoming roads hinder each other. In this paper, we first construct an enhanced version of the locally constrained model introduced by Haut et al. (Proceedings 16th IFAC World Congress. Prague, Czech Republic 229 (2005) TuM01TP/3), then we propose its counterpart featuring a non-local constraint and finally we compare numerically the two models by c…

Mathematical optimizationTraffic model010103 numerical & computational mathematics01 natural sciencesScalar conservation law; LWR model; traffic flow on networks; point constraint on the flux; finite volumes schemesNOfinite volumes schemes[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]point constraint on the flux0101 mathematics[MATH]Mathematics [math]Scalar conservation lawMathematicsLWR modelNumerical AnalysisApplied MathematicsFirst order010101 applied mathematicsFinite volumes schemes; LWR model; Point constraint on the flux; Scalar conservation law; Traffic flow on networksComputational MathematicsModeling and Simulationtraffic flow on networksOutflowfinite volumes schemeMerge (version control)Analysis
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Online Metric Learning Methods Using Soft Margins and Least Squares Formulations

2012

Online metric learning using margin maximization has been introduced as a way to learn appropriate dissimilarity measures in an efficient way when information as pairs of examples is given to the learning system in a progressive way. These schemes have several practical advantages with regard to global ones in which a training set needs to be processed. On the other hand, they may suffer from a poor performance depending on the quality of the examples and the particular tuning or other implementation details. This paper formulates several online metric learning alternatives using a passive-aggressive schema. A new formulation of the online problem using least squares is also introduced. The…

Mathematical optimizationTraining setbusiness.industrymedia_common.quotation_subjectMachine learningcomputer.software_genreLeast squaresSchema (genetic algorithms)Margin maximizationMetric (mathematics)Learning methodsQuality (business)Artificial intelligencebusinesscomputerMathematicsmedia_common
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The Rural Postman Problem on mixed graphs with turn penalties

2002

In this paper we deal with a problem which generalizes the Rural Postman Problem defined on a mixed graph (MRPP). The generalization consists of associating a non-negative penalty to every turn as well as considering the existence of forbidden turns. This new problem fits real-world situations more closely than other simpler problems. A solution tour must traverse all the requiring service arcs and edges of the graph while not making forbidden turns. Its total cost will be the sum of the costs of the traversed arcs and edges together with the penalties associated with the turns done. The Mixed Rural Postman Problem with Turn Penalties (MRPPTP) consists of finding such a tour with a total mi…

Mathematical optimizationTraverseGeneral Computer SciencePolynomial transformationTotal costMixed graphManagement Science and Operations ResearchTravelling salesman problemModeling and SimulationComputer Science::Data Structures and AlgorithmsHeuristicsArc routingMetaheuristicMathematicsComputers & Operations Research
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Using penalties instead of rewards: Solving OCST problems with guided local search

2012

Abstract This paper considers the optimal communication spanning tree (OCST) problem. Previous work analyzed features of high-quality solutions and found that edges in optimal solutions have low weight and point towards the center of a tree. Consequently, integrating this problem-specific knowledge into a metaheuristic increases its performance for the OCST problem. In this paper, we present a guided local search (GLS) approach which dynamically changes the objective function to guide the search process into promising areas. In contrast to traditional approaches which reward promising solution features by favoring edges with low weights pointing towards the tree’s center, GLS penalizes low-…

Mathematical optimizationTree (data structure)Spanning treeGeneral Computer ScienceOrientation (computer vision)Computer scienceGeneral MathematicsCombinatorial optimizationContrast (statistics)Point (geometry)Guided Local SearchMetaheuristicSwarm and Evolutionary Computation
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Robust and Efficient IMEX Schemes for Option Pricing under Jump-Diffusion Models

2013

We propose families of IMEX time discretization schemes for the partial integro-differential equation derived for the pricing of options under a jump diffusion process. The schemes include the families of IMEX-midpoint, IMEXCNAB and IMEX-BDF2 schemes. Each family is defined by a convex parameter c ∈ [0, 1], which divides the zeroth-order term due to the jumps between the implicit and explicit part in the time discretization. These IMEX schemes lead to tridiagonal systems, which can be solved extremely efficiently. The schemes are studied through Fourier stability analysis and numerical experiments. It is found that, under suitable assumptions and time step restrictions, the IMEX-midpoint fa…

Mathematical optimizationTridiagonal matrixDiscretizationJump diffusionRegular polygonComputer Science::Numerical AnalysisStability (probability)Mathematics::Numerical Analysissymbols.namesakeFourier transformValuation of optionssymbolsMathematicsLinear multistep methodSSRN Electronic Journal
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Robust model calibration using determinist and stochastic performance metrics

2016

International audience; The aeronautics industry has benefited from the use of numerical models to supplement or replace the costly design-build-test paradigm. These models are often calibrated using experimental data to obtain optimal fidelity-to-data but compensating effects between calibration parameters can complicate the model selection process due to the non-uniqueness of the solution. One way to reduce this ambiguity is to include a robustness requirement to the selection criteria. In this study, the info-gap decision theory is used to represent the lack of knowledge resulting from compensating effects and a robustness analysis is performed to investigate the impact of uncertainty on…

Mathematical optimizationTurbine bladeComputer scienceDecision theorymedia_common.quotation_subjectRobust solutionModel calibrationFidelityInfo-gap approach02 engineering and technology01 natural scienceslaw.invention010104 statistics & probabilitylawRobustness (computer science)0202 electrical engineering electronic engineering information engineering0101 mathematicsmedia_commonModel selectionPerformance metricUncertaintyExperimental dataAmbiguity[PHYS.MECA]Physics [physics]/Mechanics [physics]020201 artificial intelligence & image processingPerformance metric
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A Highly Flexible Trajectory Model Based on the Primitives of Brownian Fields—Part II: Analysis of the Statistical Properties

2016

In the first part of our paper, we have proposed a highly flexible trajectory model based on the primitives of Brownian fields (BFs). In this second part, we study the statistical properties of that trajectory model in depth. These properties include the autocorrelation function (ACF), mean, and the variance of the path along each axis. We also derive the distribution of the angle-of-motion (AOM) process, the incremental traveling length process, and the overall traveling length. It is shown that the path process is in general non-stationary. We show that the AOM and the incremental traveling length processes can be modeled by the phase and the envelope of a complex Gaussian process with no…

Mathematical optimizationUniform distribution (continuous)Applied MathematicsGaussianAutocorrelationMathematical analysis020206 networking & telecommunications020302 automobile design & engineering02 engineering and technologyComputer Science ApplicationsComplex normal distributionsymbols.namesake0203 mechanical engineeringLog-normal distribution0202 electrical engineering electronic engineering information engineeringsymbolsTrajectoryElectrical and Electronic EngineeringGaussian processRandom variableMathematicsIEEE Transactions on Wireless Communications
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