عنوان

High-dimensional probability :

شابک

1108231594

شابک

9781108231596

شابک اشتباه

1108415199

شابک اشتباه

9781108415194

عنوان اصلي

High-dimensional probability :

نام عام مواد

[Book]

ساير اطلاعات عنواني

an introduction with applications in data science /

نام نخستين پديدآور

Roman Vershynin, University of California, Irvine.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Cambridge University Press,

تاریخ نشرو بخش و غیره

2018.

تاریخ نشرو بخش و غیره

©2018

نام خاص و کميت اثر

1 online resource (xiv, 284 pages) :

ساير جزييات

illustrations

عنوان فروست

Cambridge series in statistical and probabilistic mathematics ;

مشخصه جلد

47

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Preliminaries on random variables -- Concentration of sums of independent random variables -- Random vectors in high dimensions -- Random matrices -- Concentration without independence -- Quadratic forms, symmetrization and contraction -- Random processes -- Chaining -- Deviations of random matrices and geometric consequences -- Sparse recovery -- Dvoretzky-Milman's theorem.

بدون عنوان

0

متن يادداشت

High-dimensional probability offers insight into the behavior of random vectors, random matrices, random subspaces, and objects used to quantify uncertainty in high dimensions. Drawing on ideas from probability, analysis, and geometry, it lends itself to applications in mathematics, statistics, theoretical computer science, signal processing, optimization, and more. It is the first to integrate theory, key tools, and modern applications of high-dimensional probability. Concentration inequalities form the core, and it covers both classical results such as Hoeffding's and Chernoff's inequalities and modern developments such as the matrix Bernstein's inequality. It then introduces the powerful methods based on stochastic processes, including such tools as Slepian's, Sudakov's, and Dudley's inequalities, as well as generic chaining and bounds based on VC dimension. A broad range of illustrations is embedded throughout, including classical and modern results for covariance estimation, clustering, networks, semidefinite programming, coding, dimension reduction, matrix completion, machine learning, compressed sensing, and sparse regression.

عنوان

High-dimensional probability.

شماره استاندارد بين المللي کتاب و موسيقي

9781108415194

موضوع مستند نشده

Probabilities.

موضوع مستند نشده

Random variables.

موضوع مستند نشده

Stochastic processes.

موضوع مستند نشده

Probabilities.

موضوع مستند نشده

Random variables.

موضوع مستند نشده

Stochastic processes.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Vershynin, Roman,1974-

تاريخ عمليات

20200822150643.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y