{"product_id":"9783540225720","title":"Lecture Notes in Mathematics: Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001","description":"\u003ch1\u003eLecture Notes in Mathematics: Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001\u003c\/h1\u003e \u003ch2\u003eCatoni, Olivier; Picard, Jean\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eStatistical 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. \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2004-08-25\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540225720\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/b99352\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 284\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369690030220,"sku":"9783540225720","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540225720.jpg?v=1775673825","url":"https:\/\/lateknightbooks.com\/products\/9783540225720","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}