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Statistical Learning Theory and Stochastic Optimization: Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001 (Lecture Notes in Mathematics) [Paperback]

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Item description for Statistical Learning Theory and Stochastic Optimization: Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001 (Lecture Notes in Mathematics) by Jean Picard Olivier Catoni...

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 asis 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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Item Specifications...


Pages   273
Est. Packaging Dimensions:   Length: 9.21" Width: 6.06" Height: 0.63"
Weight:   1.06 lbs.
Binding  Softcover
Release Date   Oct 15, 2004
Publisher   Springer
ISBN  3540225722  
ISBN13  9783540225720  


Availability  51 units.
Availability accurate as of Mar 26, 2017 03:30.
Usually ships within one to two business days from La Vergne, TN.
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