High-dimensional probability : an introduction with applications in data science (Record no. 32209)
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| 000 -LEADER | |
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| fixed length control field | a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230921b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781108415194 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.2 |
| Item number | VER |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Vershynin, Roman |
| 245 ## - TITLE STATEMENT | |
| Title | High-dimensional probability : an introduction with applications in data science |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher, distributor, etc | Cambridge University Press, |
| Date of publication, distribution, etc | 2018 |
| Place of publication, distribution, etc | Cambridge : |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 284 p. ; |
| Other physical details | ill., |
| Dimensions | 27 cm |
| 365 ## - TRADE PRICE | |
| Price amount | 54.99 |
| Price type code | GBP |
| Unit of pricing | 109.80 |
| 490 ## - SERIES STATEMENT | |
| Series statement | Cambridge series in statistical and probabilistic mathematics ; |
| Volume number/sequential designation | 47 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Probabilities |
| Topical term or geographic name as entry element | Random variables |
| Topical term or geographic name as entry element | Stochastic Processes |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Date last borrowed | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | DAU | DAU | 21/09/2023 | 6037.90 | 4 | 519.2 VER | 034321 | 06/08/2024 | 10/10/2023 | Books |