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...
Statistical learning theory is aimed at analyzing complex data with necessarily approximate models. This book is intended for an audience with a gr...
This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in Saint-Flour (July 7-24, 2002). Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random variables, for instance singular stochastic flows or oriented percolation. Werner's contribution gives a survey of results on conformal invariance, scaling limits and properties of...
This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathemati...
Three series of lectures were given at the 32nd Probability Summer School in Saint-Flour (July 7 24, 2002), by the Professors Pitman, Tsirelson and Werner. ThecoursesofProfessorsTsirelson( Scalinglimit, noise, stability )andWerner ( Random planar curves and Schramm-Loewner evolutions ) have been p- lished in a previous issue ofLectures Notes in Mathematics (volume 1840). This volume contains the course Combinatorial stochastic processes of Professor Pitman. We cordially thank the author for his performance in Saint-Flour and for these notes. 76 participants have attended this school. 33 of...
Three series of lectures were given at the 32nd Probability Summer School in Saint-Flour (July 7 24, 2002), by the Professors Pitman, Tsirelson and We...
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your...
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and...
