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Cambridge Series in Statistical and Probabilistic Mathematic

4.4

263.45  Lei 309.94  Lei

sau 26345 de puncte. Detalii.

Indisponibil

Cod: BRT9781108415194

An aparitie: 2018

Autor: Roman Vershynin

Categoria: Economics

Editie: cartonata

Editura: CAMBRIDGE UNIVERSITY PRESS

Format: 260 x 183 x 22 mm

Limba: English

Nr. pagini: 296

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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.

Cartea Cambridge Series in Statistical and Probabilistic Mathematic face parte din categoria Economics a librariei online Libris.ro si este scrisa de Roman Vershynin.
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