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Statistical learning theory and stochastic optimization Ecole d'Eté de Probabilités de Saint-Flour XXXI-2001

Statistical learning theory is aimed at analyzing complex data with necessarily approximate models. This book is intended for an audience with a graduate background in probability theory and statistics. It will be useful to any reader wondering why it may be a good idea, to use as is often done in practice a notoriously "wrong'' (i.e. over-simplified) model to predict, estimate or classify. This point of view takes its roots in three fields: information theory, statistical mechanics, and PAC-Bayesian theorems. Results on the large deviations of trajectories of Markov chains with rare transitions are also included. They are meant to provide a better understanding of stochastic optimization algorithms of common use in computing estimators. The author focuses on non-asymptotic bounds of the statistical risk, allowing one to choose adaptively between rich and structured families of models and corresponding estimators. Two mathematical objects pervade the book: entropy and Gibbs measures. The goal is to show how to turn them into versatile and efficient technical tools, that will stimulate further studies and results.

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  • "Ecole d'Eté de Probabilités de Saint-Flour XXXI--2001"@en
  • "Ecole d'Eté de Probabilités de Saint-Flour XXXI-2001"@en
  • "Ecole d'été de probabilités de Saint-Flour XXXI-2001"

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  • "Statistical learning theory is aimed at analyzing complex data with necessarily approximate models. This book is intended for an audience with a graduate background in probability theory and statistics. It will be useful to any reader wondering why it may be a good idea, to use as is often done in practice a notoriously "wrong'' (i.e. over-simplified) model to predict, estimate or classify. This point of view takes its roots in three fields: information theory, statistical mechanics, and PAC-Bayesian theorems. Results on the large deviations of trajectories of Markov chains with rare transitions are also included. They are meant to provide a better understanding of stochastic optimization algorithms of common use in computing estimators. The author focuses on non-asymptotic bounds of the statistical risk, allowing one to choose adaptively between rich and structured families of models and corresponding estimators. Two mathematical objects pervade the book: entropy and Gibbs measures. The goal is to show how to turn them into versatile and efficient technical tools, that will stimulate further studies and results."@en

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  • "Llibres electrònics"
  • "Conference papers and proceedings"
  • "Conference papers and proceedings"@en
  • "Electronic books"@en
  • "Elektronisches Buch"
  • "Kongress"@en
  • "Kongress"
  • "Conference proceedings"

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  • "Statistical learning theory and stochastic optimization : Ecole d'eté de probabilités de Saint-Flour XXXI - 2001 00"
  • "Statistical learning theory and stochastic optimization"
  • "Statistical learning theory and stochastic optimization Ecole d'été de probabilités de Saint-Flour XXXI-2001"
  • "Statistical learning theory and stochastic optimization Ecole d'Eté de Probabilités de Saint-Flour XXXI-2001"@en
  • "Statistical learning theory and stochastic optimization : Ecole d'Eté de Probabilités de Saint-Flour, XXXI - 2001"
  • "Statistical learning theory and stochastic optimization Ecole d'Eté de Probabilités de Saint-Flour XXXI-2001"
  • "Statistical learning theory and stochastic optimization : Ecole d'Eté de Probabilités de Saint-Flour XXXI--2001"@en
  • "Statistical learning theory and stochastic optimization : Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001"@en
  • "Statistical learning theory and stochastic optimization : Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001"
  • "Statistical learning theory and stochastic optimization : Ecole d'eté de probabilités de Saint-Flour XXXI-2001"
  • "Statistical learning theory and stochastic optimization : Ecole d'Eté de Probabilites de Saint-Flour XXXI-2001"
  • "Statistical learning theory and stochastic optimization : Ecole d'été de probabilités de Saint-Flour XXXI-2001"
  • "Statistical Learning Theory and Stochastic Optimization"
  • "Statistical Learning Theory and Stochastic Optimization Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001"
  • "Statistical learning theory and stochastic optimization Ecole d'eté de probabilités de Saint-Flour XXXI - 2001"
  • "Statistical learning theory and stochastic optimization : Ecole d'Eté de probabiités de Saint-Flour XXXI - 2001"

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