Search results for "kernel"

showing 10 items of 357 documents

Multiframe image restoration in the presence of noisy blur kernel

2009

We wish to recover an original image u from several blurry-noisy versions f k , called frames. We assume a more severe degradation model, in which the image u has been blurred by a noisy (stochastic) point spread function. We consider the problem of restoring the degraded image in a variational framework. Since the recovery of u from one single frame f is a highly ill-posed problem, we formulate two minimization problems based on the multiframe approach proposed for image super-resolution by Marquina-Osher [13]. Several experimental results for image restoration are shown, illustrating that the proposed models give visually satisfactory results.

Point spread functionKernel (image processing)Noise measurementbusiness.industryOptical transfer functionComputer visionMinificationArtificial intelligenceEnergy minimizationbusinessImage resolutionImage restorationMathematics2009 16th IEEE International Conference on Image Processing (ICIP)
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Formulation and test of an ice aggregation scheme for two-moment bulk microphysics schemes

2013

A simple formulation of aggregation for 2-moment bulk microphysical models is de-rived. The solution involves the evaluation of a double integral of the collection kernelweighted with the crystal size (or mass) distribution. This quantity is to be inserted intothe differential equation for the crystal number concentration which has classical form. The double integrals are evaluated numerically for log-normal size distributions overa large range of geometric mean masses. A polynomial fit of the results is given thatyields good accuracy. Various tests of the new parameterization are described: aggre-gation as stand-alone process, in a box-model, and in 2-D simulations of a cirrostratuscloud. …

Polynomial regressionAtmospheric ScienceMicrophysicsDifferential equationChemistryMultiple integralZirrenlcsh:QC1-999WolkenmikrophysikMoment (mathematics)lcsh:ChemistryAggregationDistribution (mathematics)Classical mechanicslcsh:QD1-999Kernel (statistics)ModelleCirrusDynamik der AtmosphäreStatistical physicsEiskristallelcsh:PhysicsAtmospheric Chemistry and Physics
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Cell-average multiresolution based on local polynomial regression. Application to image processing

2014

In Harten (1996) [32] presented a general framework about multiresolution representation based on four principal operators: decimation and prediction, discretization and reconstruction. The discretization operator indicates the nature of the data. In this work the pixels of a digital image are obtained as the average of a function in some defined cells. A family of Harten cell-average multiresolution schemes based on local polynomial regression is presented. The stability is ensured by the linearity of the operators obtained and the order is calculated. Some numerical experiments are performed testing the accuracy of the prediction operators in comparison with the classical linear and nonli…

Polynomial regressionComputational MathematicsDecimationMathematical optimizationDigital imageOperator (computer programming)Kernel methodDiscretizationApplied MathematicsLinearityImage processingAlgorithmMathematicsApplied Mathematics and Computation
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Distributed learning automata-based scheme for classification using novel pursuit scheme

2020

Learning Automata (LA) is a popular decision making mechanism to “determine the optimal action out of a set of allowable actions” (Agache and Oommen, IEEE Trans Syst Man Cybern-Part B Cybern 2002(6): 738–749, 2002). The distinguishing characteristic of automata-based learning is that the search for the optimising parameter vector is conducted in the space of probability distributions defined over the parameter space, rather than in the parameter space itself (Thathachar and Sastry, IEEE Trans Syst Man Cybern-Part B Cybern 32(6): 711–722, 2002). Recently, Goodwin and Yazidi pioneered the use of Ant Colony Optimisation (ACO) for solving classification problems (Goodwin and Yazidi 2016). In th…

PolynomialOptimization problemLearning automataComputer sciencePolygonsFeature vector02 engineering and technologyAnt colonyParameter spaceRandom walkLearning automataSupport vector machineKernel methodArtificial IntelligenceKernel (statistics)Polygon0202 electrical engineering electronic engineering information engineeringProbability distribution020201 artificial intelligence & image processingClassificationsVDP::Teknologi: 500::Informasjons- og kommunikasjonsteknologi: 550AlgorithmApplied Intelligence
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Hyplets - Multi Exception Level Kernel towards Linux RTOS

2018

This paper presents the concept of a Multi-Exception level operating system. We add a hypervisor awareness to the Linux kernel and execute code in hyp exception level. We do that through the use of Hyplets. Hyplets are an innovative way to code interrupt service routines under ARM. Hyplets provide high performance, security, running time predictability, an RPC mechanism and a possible solution for the priority inversion problem. Hyplets uses special features of ARM8va hypervisor memory architecture.

Priority inversionSoftware_OPERATINGSYSTEMSComputer scienceKernel (statistics)Memory architectureCode (cryptography)Operating systemHypervisorLinux kernelInterruptcomputer.software_genreReal-time operating systemcomputerProceedings of the 11th ACM International Systems and Storage Conference
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An Efficient Numerical Method for Time Domain Computational Electromagnetic Simulation

2018

In this paper an efficient numerical method in approximating the electric and magnetic fields is provided. The method is based on an implicit leapfrog arrangement in time and without mesh in space. Moreover, a projection scheme is introduced in order to improve the accuracy of the proposed approach and applied into the computational electromagnetic (CEM) framework. The PDEs governing the process are solved and some numerical results are reported to validate the numerical process.

Projection schemeEnvironmental EngineeringRenewable Energy Sustainability and the EnvironmentComputer scienceNumerical analysisCEMProcess (computing)Finite difference methodEnergy Engineering and Power Technology010103 numerical & computational mathematicsSpace (mathematics)01 natural sciencesIndustrial and Manufacturing EngineeringProjection (linear algebra)Magnetic field010101 applied mathematicsSettore ING-IND/31 - ElettrotecnicaSettore MAT/08 - Analisi NumericaKernel (linear algebra)Hardware and ArchitectureApplied mathematicsNumerical accuracyTime domainElectrical and Electronic Engineering0101 mathematics2018 IEEE International Conference on Environment and Electrical Engineering and 2018 IEEE Industrial and Commercial Power Systems Europe (EEEIC / I&CPS Europe)
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Multiplicity theorems for the Dirichlet problem involving the p-Laplacian

2003

Multiplicity theorems for the Dirichlet problem involving the p-Laplacian were proved using variational approach. It was shown that there existed an open interval and a positive real number, and each problem admits at least three weak solutions. Results on the existence of at least three weak solutions for the Dirichlet problems were established.

Pure mathematicsApplied Mathematicsp-LaplacianMathematical analysisMultiple solutionDirichlet L-functionAnalysiDirichlet's energyMathematics::Spectral TheoryCritical pointDirichlet kernelsymbols.namesakeDirichlet eigenvalueDirichlet's principleDirichlet boundary conditionsymbolsMathematics (all)General Dirichlet seriesAnalysisDirichlet seriesDirichlet problemMathematicsNonlinear Analysis: Theory, Methods & Applications
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Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory

2011

We translate into the language of semi-group theory Bismut's Calculus on boundary processes (Bismut (1983), Lèandre (1989)) which gives regularity result on the heat kernel associated with fractional powers of degenerated Laplacian. We translate into the language of semi-group theory the marriage of Bismut (1983) between the Malliavin Calculus of Bismut type on the underlying diffusion process and the Malliavin Calculus of Bismut type on the subordinator which is a jump process.

Pure mathematicsArticle SubjectSubordinatorlcsh:MathematicsApplied MathematicsBoundary (topology)Type (model theory)lcsh:QA1-939Malliavin calculusMathematics::ProbabilityMathematics::K-Theory and HomologyCalculusMathematics::Differential GeometryLaplace operatorJump processAnalysisHeat kernelGroup theoryMathematicsInternational Journal of Differential Equations
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Stability of the fixed point property in Hilbert spaces

2005

In this paper we prove that if X X is a Banach space whose Banach-Mazur distance to a Hilbert space is less than 5 + 17 2 \sqrt {\frac {5+\sqrt {17}}{2}} , then X X has the fixed point property for nonexpansive mappings.

Pure mathematicsIsolated pointHilbert manifoldApproximation propertyApplied MathematicsGeneral MathematicsInfinite-dimensional vector functionMathematical analysisBanach manifoldRigged Hilbert spaceFixed-point propertyReproducing kernel Hilbert spaceMathematicsProceedings of the American Mathematical Society
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Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces

2019

Abstract In this paper we study evolution problems of Leray–Lions type with nonhomogeneous Neumann boundary conditions in the framework of metric random walk spaces. This covers cases with the p -Laplacian operator in weighted discrete graphs and nonlocal operators with nonsingular kernel in R N .

Pure mathematicsKernel (set theory)Applied Mathematics010102 general mathematicsMathematics::Analysis of PDEsType (model theory)Random walk01 natural scienceslaw.invention010101 applied mathematicsMathematics - Analysis of PDEsInvertible matrixlawMetric (mathematics)Neumann boundary conditionFOS: Mathematics0101 mathematicsLaplace operatorAnalysis35K55 47H06 47J35MathematicsAnalysis of PDEs (math.AP)
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