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High-Dimensional Statistics

High-Dimensional Statistics

A Non-Asymptotic Viewpoint

by Martin J. Wainwright
Hardback
Publication Date: 31/03/2019

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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.
ISBN:
9781108498029
9781108498029
Category:
Probability & statistics
Format:
Hardback
Publication Date:
31-03-2019
Publisher:
Cambridge University Press
Country of origin:
United Kingdom
Pages:
568
Dimensions (mm):
260x183x35mm
Weight:
1.2kg

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