Search results for "Grande Dimension"

showing 2 items of 2 documents

From optimization to algorithmic differentiation: a graph detour

2021

This manuscript highlights the work of the author since he was nominated as "Chargé de Recherche" (research scientist) at Centre national de la recherche scientifique (CNRS) in 2015. In particular, the author shows a thematic and chronological evolution of his research interests:- The first part, following his post-doctoral work, is concerned with the development of new algorithms for non-smooth optimization.- The second part is the heart of his research in 2020. It is focused on the analysis of machine learning methods for graph (signal) processing.- Finally, the third and last part, oriented towards the future, is concerned with (automatic or not) differentiation of algorithms for learnin…

Signaux sur graphesOptimisation convexe[STAT.ML]Statistics [stat]/Machine Learning [stat.ML]High dimensional dataGraph signalsStatistiques en grande dimensionAutomatic differentiation[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC][STAT.ML] Statistics [stat]/Machine Learning [stat.ML]Convex optimizationDifférentiation automatique
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Stochastic algorithms for robust statistics in high dimension

2016

This thesis focus on stochastic algorithms in high dimension as well as their application in robust statistics. In what follows, the expression high dimension may be used when the the size of the studied sample is large or when the variables we consider take values in high dimensional spaces (not necessarily finite). In order to analyze these kind of data, it can be interesting to consider algorithms which are fast, which do not need to store all the data, and which allow to update easily the estimates. In large sample of high dimensional data, outliers detection is often complicated. Nevertheless, these outliers, even if they are not many, can strongly disturb simple indicators like the me…

Stochastic AlgorithmsAlgorithmes StochastiquesAlgorithmes RécursifsRecursive AlgorithmsStatistique RobusteAlgorithmes de Gradient StochastiquesAveragingStochastic Gradient AlgorithmsMoyennisationGrande DimensionRobust StatisticsFunctional DataDonnées Fonctionnelles[MATH.MATH-ST] Mathematics [math]/Statistics [math.ST]Geometric MedianHigh DimensionMédiane Géométrique
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