Search results for " Convergence"

showing 10 items of 260 documents

Iterative continuous maximum-likelihood reconstruction method

1992

Mathematical optimizationMaximum likelihood reconstructionIterative methodGeneral MathematicsMaximum likelihoodGeneral EngineeringApplied mathematicsMaximizationIterative reconstructionIntegral equationMathematicsLocal convergenceMathematical Methods in the Applied Sciences
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Global sensitivity analysis in wastewater treatment modelling

2019

Global sensitivity analysis (GSA) is a valuable tool to support the use of mathematical models. GSA allows the identifcation of the effect of model and input factor uncertainty on the model response, also considering the effect due to the interactions among factors. During recent years, the wastewater modelling feld has embraced the use of GSA. Wastewater modellers have tried to transfer the knowledge and experience from other disciplines and other water modelling felds.

Mathematical optimizationSettore ICAR/03 - Ingegneria Sanitaria-AmbientaleComputational burden convergence modelling numerical methods sensitivity analysis water modellingGlobal sensitivity analysisNumerical analysisConvergence (routing)Sewage treatmentMathematics
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Convergence for varying measures in the topological case

2023

In this paper convergence theorems for sequences of scalar, vector and multivalued Pettis integrable functions on a topological measure space are proved for varying measures vaguely convergent.

Mathematics - Functional Analysis28B05Primary 28B20 Secondary 26E25 26A39 28B05 46G10 54C60 54C6526A39setwise convergence vaguely convergence weak convergence of measures locally compact Hausdorff space Vitali's TheoremSettore MAT/05 - Analisi Matematica54C60FOS: MathematicsPrimary 28B20Secondary 26E2554C65Functional Analysis (math.FA)46G10
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Convergence of subdifferentials and normal cones in locally uniformly convex Banach space

2014

International audience; In this paper we study the behaviour of normal cones and subdifferentials with respect to two types of convergence of sets and functions: Mosco and Attouch–Wets convergences. Our analysis is devoted to proximal, Fréchet, and Mordukhovich limiting normal cones and subdifferentials. The results obtained can be seen as extensions of the Attouch theorem to the context of non-convex functions on locally uniformly convex Banach space. They also generalize, to sequences of subsmooth sets or functions, various results in the literature.

Mathematics::Functional AnalysisPure mathematics021103 operations researchApplied Mathematics010102 general mathematicsMathematical analysis0211 other engineering and technologiesRegular polygonBanach spaceMathematics::General TopologyContext (language use)02 engineering and technologyLimiting01 natural sciencesMosco convergenceConvergence (routing)0101 mathematics[MATH]Mathematics [math]AnalysisMathematics
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Spatial Besov regularity for stochastic partial differential equations on Lipschitz domains

2010

We use the scale of Besov spaces B^\alpha_{\tau,\tau}(O), \alpha>0, 1/\tau=\alpha/d+1/p, p fixed, to study the spatial regularity of the solutions of linear parabolic stochastic partial differential equations on bounded Lipschitz domains O\subset R^d. The Besov smoothness determines the order of convergence that can be achieved by nonlinear approximation schemes. The proofs are based on a combination of weighted Sobolev estimates and characterizations of Besov spaces by wavelet expansions.

Mathematics::Functional AnalysisSmoothness (probability theory)General MathematicsProbability (math.PR)Mathematics::Analysis of PDEsScale (descriptive set theory)Numerical Analysis (math.NA)Lipschitz continuitySobolev spaceStochastic partial differential equation60H15 Secondary: 46E35 65C30WaveletRate of convergenceBounded functionFOS: MathematicsApplied mathematicsMathematics - Numerical AnalysisMathematics - ProbabilityMathematicsStudia Mathematica
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Convergence of a high-order compact finite difference scheme for a nonlinear Black–Scholes equation

2004

A high-order compact finite difference scheme for a fully nonlinear parabolic differential equation is analyzed. The equation arises in the modeling of option prices in financial markets with transaction costs. It is shown that the finite difference solution converges locally uniformly to the unique viscosity solution of the continuous equation. The proof is based on a careful study of the discretization matrices and on an abstract convergence result due to Barles and Souganides.

Matrix difference equationFTCS schemeNumerical AnalysisPartial differential equationApplied MathematicsMathematical analysisCompact finite differenceNumerical solution of the convection–diffusion equationFinite difference coefficientCentral differencing schemeComputational MathematicsModeling and SimulationAnalysisCompact convergenceMathematicsESAIM: Mathematical Modelling and Numerical Analysis
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A Novel Artificial Neural Network (ANN) Using The Mayfly Algorithm for Classification

2021

Training of Artificial Neural Networks (ANNs) have been improved over the years using meta heuristic algorithms that introduce randomness into the training method but they might be prone to falling into a local minima in a high-dimensional space and have low convergence rate with the iterative process. To cater for the inefficiencies of training such an ANN, a novel neural network is presented in this paper using the bio-inspired algorithm of the movement and mating of the mayflies. The proposed Mayfly algorithm is explored as a means to update weights and biases of the neural network. As compared to previous meta heuristic algorithms, the proposed approach finds the global minima cost at f…

Maxima and minimaIterative and incremental developmentAuthenticationArtificial neural networkRate of convergenceComputer scienceVDP::Technology: 500Benchmark (computing)Particle swarm optimizationAlgorithmRandomness
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African monsoon variability during the previous interglacial maximum.

2002

Little is known about centennial- to millennial-scale climate variability during interglacial times, other than the Holocene. We here present high-resolution evidence from anoxic (unbioturbated) sediments in the eastern Mediterranean Sea that demonstrates a sustained V800-yr climate disturbance in the monsoonal latitudes during the Eemian interglacial maximum (V125 ka BP). Results imply that before and after this event, the Intertropical Convergence Zone (ITCZ) penetrated sufficiently beyond the central Saharan watershed (V21n) during the summer monsoon to fuel flooding into the Mediterranean along the wider North African margin, through fossil river/wadi systems that to date have been cons…

Mediterranean climateEemianIntertropical Convergence ZoneSapropelMonsoonMediterranean BasinGeophysicsOceanographySpace and Planetary ScienceGeochemistry and Petrology[SDU.STU.GC]Sciences of the Universe [physics]/Earth Sciences/Geochemistry[SDU.STU.CL]Sciences of the Universe [physics]/Earth Sciences/ClimatologyClimatologyInterglacialEarth and Planetary Sciences (miscellaneous)HoloceneGeologyComputingMilieux_MISCELLANEOUS
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Characterization of the interannual and intraseasonal variability of West African vegetation between 1982 and 2002 by means of NOAA AVHRR NDVI data

2007

AbstractThe interannual and intraseasonal variability of West African vegetation over the period 1982–2002 is studied using the normalized difference vegetation index (NDVI) from the Advanced Very High Resolution Radiometer (AVHRR).The novel independent component analysis (ICA) technique is applied to extract the main modes of the interannual variability of the vegetation, among which two modes are worth describing. The first component (IC1) describes NDVI variability over the Sahel from August to October. A strong photosynthetic activity over the Sahel is related to above-normal convection and rainfall within the intertropical convergence zone (ITCZ) in summertime and is partly associated …

Mediterranean climateWet seasonAtmospheric Science010504 meteorology & atmospheric sciencesAdvanced very-high-resolution radiometerATMOSPHERIC DYNAMICS0211 other engineering and technologies02 engineering and technology01 natural sciencesNormalized Difference Vegetation IndexRAINY-SEASONPHENOLOGYEL-NINO[ SDU.ENVI ] Sciences of the Universe [physics]/Continental interfaces environmentPrecipitation[SDU.ENVI]Sciences of the Universe [physics]/Continental interfaces environmentINDEX021101 geological & geomatics engineering0105 earth and related environmental sciencesAIR-TEMPERATUREINDEPENDENT COMPONENT ANALYSISIntertropical Convergence Zone15. Life on landSea surface temperature13. Climate actionClimatologySEA-SURFACE TEMPERATUREPRECIPITATIONEnvironmental scienceOutgoing longwave radiationSAHEL RAINFALL
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Cross-regional view of functional and taxonomic microbiota composition in obesity and post-obesity treatment shows country specific microbial contrib…

2019

This work was supported by CONICYT-Chile through the FONDECYT [n° 3160525] (DM) and by Universidad San Sebastián, and by grants to AM from the Spanish Ministry of Economy and Competitiveness (projects SAF2012-31187, SAF2013-49788-EXP, SAF2015-65878-R), Carlos III Health Institute (Projects PIE14/00045 and AC15/00022), Generalitat Valenciana (Project PrometeoII/2014/065 and Prometeo/2018/A/133), Asociación Española Contra el Cancer (Project AECC 2017-1485) and co-financed by the European Regional Development Fund (ERDF).

Microbiology (medical)obesitybariatric surgerylcsh:QR1-502Context (language use)Gut floraMicrobiologydigestive systemlcsh:MicrobiologyFunctional redundancy03 medical and health sciencesMetagenomicWeight losshuman gut microbiotamedicineObesitymetagenomicOriginal Research030304 developmental biologyGeneticsBariatric surgery0303 health sciencesbiology030306 microbiologyMicrobiotaFunctional redundancyfunctional convergencebiology.organism_classificationmedicine.diseaseObesityfunctional redundancyMetagenomicsObesitatmedicine.symptomDysbiosisAkkermansia muciniphilaFunctional convergenceHuman gut microbiota
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