Statistical Learning Theory and Stochastic Optimization

Statistical Learning Theory and Stochastic Optimization PDF Author: Olivier Picard Jean Catoni
Publisher:
ISBN: 9783662203248
Category :
Languages : en
Pages : 292

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Book Description

Statistical Learning Theory and Stochastic Optimization

Statistical Learning Theory and Stochastic Optimization PDF Author: Olivier Picard Jean Catoni
Publisher:
ISBN: 9783662203248
Category :
Languages : en
Pages : 292

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Book Description


Statistical Learning Theory and Stochastic Optimization

Statistical Learning Theory and Stochastic Optimization PDF Author: Olivier Catoni
Publisher: Springer
ISBN: 3540445072
Category : Mathematics
Languages : en
Pages : 278

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Book Description
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.

Statistical learning theory and stochastic optimization

Statistical learning theory and stochastic optimization PDF Author: Olivier Catoni
Publisher: Springer Science & Business Media
ISBN: 9783540225720
Category :
Languages : en
Pages : 290

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Book Description


Distributionally Robust Learning

Distributionally Robust Learning PDF Author: Ruidi Chen
Publisher:
ISBN: 9781680837728
Category : Mathematics
Languages : en
Pages : 258

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Book Description


The Nature of Statistical Learning Theory

The Nature of Statistical Learning Theory PDF Author: Vladimir Vapnik
Publisher: Springer Science & Business Media
ISBN: 1475732643
Category : Mathematics
Languages : en
Pages : 324

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Book Description
The aim of this book is to discuss the fundamental ideas which lie behind the statistical theory of learning and generalization. It considers learning as a general problem of function estimation based on empirical data. Omitting proofs and technical details, the author concentrates on discussing the main results of learning theory and their connections to fundamental problems in statistics. This second edition contains three new chapters devoted to further development of the learning theory and SVM techniques. Written in a readable and concise style, the book is intended for statisticians, mathematicians, physicists, and computer scientists.

Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers

Distributed Optimization and Statistical Learning Via the Alternating Direction Method of Multipliers PDF Author: Stephen Boyd
Publisher: Now Publishers Inc
ISBN: 160198460X
Category : Computers
Languages : en
Pages : 138

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Book Description
Surveys the theory and history of the alternating direction method of multipliers, and discusses its applications to a wide variety of statistical and machine learning problems of recent interest, including the lasso, sparse logistic regression, basis pursuit, covariance selection, support vector machines, and many others.

Learning Theory

Learning Theory PDF Author: Gábor Lugosi
Publisher: Springer Science & Business Media
ISBN: 3540352945
Category : Computers
Languages : en
Pages : 667

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Book Description
This book constitutes the refereed proceedings of the 19th Annual Conference on Learning Theory, COLT 2006, held in Pittsburgh, Pennsylvania, USA in June 2006. The 43 revised full papers presented together with 2 articles on open problems and 3 invited lectures were carefully reviewed and selected from a total of 102 submissions. The papers cover a wide range of topics including clustering, un- and semisupervised learning, statistical learning theory, regularized learning and kernel methods, query learning and teaching, inductive inference, learning algorithms and limitations on learning, online aggregation, online prediction and reinforcement learning.

First-order and Stochastic Optimization Methods for Machine Learning

First-order and Stochastic Optimization Methods for Machine Learning PDF Author: Guanghui Lan
Publisher: Springer Nature
ISBN: 3030395685
Category : Mathematics
Languages : en
Pages : 591

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Book Description
This book covers not only foundational materials but also the most recent progresses made during the past few years on the area of machine learning algorithms. In spite of the intensive research and development in this area, there does not exist a systematic treatment to introduce the fundamental concepts and recent progresses on machine learning algorithms, especially on those based on stochastic optimization methods, randomized algorithms, nonconvex optimization, distributed and online learning, and projection free methods. This book will benefit the broad audience in the area of machine learning, artificial intelligence and mathematical programming community by presenting these recent developments in a tutorial style, starting from the basic building blocks to the most carefully designed and complicated algorithms for machine learning.

Learning Theory

Learning Theory PDF Author: Nader Bshouty
Publisher: Springer
ISBN: 3540729275
Category : Computers
Languages : en
Pages : 645

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Book Description
This book constitutes the refereed proceedings of the 20th Annual Conference on Learning Theory, COLT 2007, held in San Diego, CA, USA in June 2007. It covers unsupervised, semisupervised and active learning, statistical learning theory, inductive inference, regularized learning, kernel methods, SVM, online and reinforcement learning, learning algorithms and limitations on learning, dimensionality reduction, as well as open problems.

Advanced Lectures on Machine Learning

Advanced Lectures on Machine Learning PDF Author: Olivier Bousquet
Publisher: Springer
ISBN: 3540286500
Category : Computers
Languages : en
Pages : 249

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Book Description
Machine Learning has become a key enabling technology for many engineering applications, investigating scientific questions and theoretical problems alike. To stimulate discussions and to disseminate new results, a summer school series was started in February 2002, the documentation of which is published as LNAI 2600. This book presents revised lectures of two subsequent summer schools held in 2003 in Canberra, Australia, and in Tübingen, Germany. The tutorial lectures included are devoted to statistical learning theory, unsupervised learning, Bayesian inference, and applications in pattern recognition; they provide in-depth overviews of exciting new developments and contain a large number of references. Graduate students, lecturers, researchers and professionals alike will find this book a useful resource in learning and teaching machine learning.