Concentration inequalities and model selection
著者
書誌事項
Concentration inequalities and model selection
(Lecture notes in mathematics, 1896 . École d'été de probabilités de Saint-Flour / editor,
Springer, c2007
- タイトル別名
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Concentration inequalities and model selection, St. Flour 2003
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注記
Includes bibliographical references (p. [319]-324) and index
http://dx.doi.org/10.1007/978-3-540-48503-2
内容説明・目次
内容説明
Concentration inequalities have been recognized as fundamental tools in several domains such as geometry of Banach spaces or random combinatorics. They also turn to be essential tools to develop a non asymptotic theory in statistics. This volume provides an overview of a non asymptotic theory for model selection. It also discusses some selected applications to variable selection, change points detection and statistical learning.
目次
Exponential and Information Inequalities.- Gaussian Processes.- Gaussian Model Selection.- Concentration Inequalities.- Maximal Inequalities.- Density Estimation via Model Selection.- Statistical Learning.
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