Statistics for High-Dimensional Data

Statistics for High-Dimensional Data

by Bühlmann, Peter

Type Book
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Modern statistics deals with large and complex data sets, and consequently with models containing a large number of parameters. This book presents a detailed account of recently developed approaches, such as the Lasso and boosting methods. It also provides the mathematical theory behind them, proving their great potential in a large number of settings. Both the methods and theory are then illustrated with real data examples.

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Title Statements

  • Full title :Statistics for High-Dimensional Data.

Summary

Modern statistics deals with large and complex data sets, and consequently with models containing a large number of parameters. This book presents a detailed account of recently developed approaches, such as the Lasso and boosting methods. It also provides the mathematical theory behind them, proving their great potential in a large number of settings. Both the methods and theory are then illustrated with real data examples.

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Edition Statements

  • Publication Date:2011.

Publication Statements

The Physical Object

  • Description:1 online resource (567 pages).

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Table of Contents

Statistics for High-Dimensional Data; Preface; Contents; Chapter 1 Introduction; Chapter 2 Lasso for linear models; Chapter 3 Generalized linear models and the Lasso; Chapter 4 The group Lasso; Chapter 5 Additive models and many smooth univariate functions; Chapter 6 Theory for the Lasso; Chapter 7 Variable selection with the Lasso; Chapter 8 Theory for l1 / l2penalty procedures; Chapter 9 Non-convex loss functions and l1regularization; Chapter 10 Stable solutions; Chapter 11 P-values for linear models and beyond; Chapter 12 Boosting and greedy algorithms; Chapter 13 Graphical modeling.

Chapter 14 Probability and moment inequalitiesAuthor Index; Index; References.

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