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Szerző:

Vershynin, Roman

Cím:

High-dimensional probability : an introduction with applications in data science / Roman Vershynin

Megjelenés:

Cambridge : Cambridge University Press, 2018

Terjedelem:

xiv, 284 p. : ill. ; 24 cm

Megjegyzések:

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.

Sorozati cím:

(Cambridge series in statistical and probabilistic mathematics ; 47.)

ETO jelzet:

519.21 519.22

LC jelzet:

QA273

ISBN:

9781108415194

Tárgyszavak:

Valószínűségek
Matematikai statisztika
Probabilities.
Mathematical statistics.

Egyéb nevek:

Cambridge series in statistical and probabilistic mathematics

Borító:

Kedvencek között:


	Lelőhely	Téma	Egyéb tematikus jelzet	Jelzet	Évszám	Kötet	Státusz	Előjegyz.	Mellékletek
	DEENK Kassai úti Campus Könyvtára [2. emelet] [matematika]			519.21 V75			Korlátozottan kölcsönözhető	0	0