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High-Dimensional Statistics

High-Dimensional Statistics : A Non-Asymptotic Viewpoint. 高次元の統計学

・ISBN 978-1-108-49802-9 hard GB£ 71.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-108-62777-1

著者・編者Wainwright, Martin J.,
シリーズCambridge Series in Statistical and Probabilistic Mathematics
出版社(Cambridge U. Pr., UK)
出版年月2019
ページ数568 pp.
言語ENG
ニュース番号<647-P891 648-L379>

解説

Recent years have witnessed an explosion in the volume and variety of data collected in all scientific disciplines and industrial settings. Such massive data sets present a number of challenges to researchers in statistics and machine learning. This book provides a self-contained introduction to the area of high-dimensional statistics, aimed at the first-year graduate level. It includes chapters that are focused on core methodology and theory - including tail bounds, concentration inequalities, uniform laws and empirical process, and random matrices - as well as chapters devoted to in-depth exploration of particular model classes - including sparse linear models, matrix models with rank constraints, graphical models, and various types of non-parametric models. With hundreds of worked examples and exercises, this text is intended both for courses and for self-study by graduate students and researchers in statistics, machine learning, and related fields who must understand, apply, and adapt modern statistical methods suited to large-scale data.