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The Generic Chaining
Language: en
Pages: 227
Authors: Michel Talagrand
Categories: Mathematics
Type: BOOK - Published: 2005-12-08 - Publisher: Springer Science & Business Media

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Author's Note: The material of this book has been reworked and expanded with a lot more detail and published in the author's 2014 book "Upper and Lower Bounds f
Upper and Lower Bounds for Stochastic Processes
Language: en
Pages: 630
Authors: Michel Talagrand
Categories: Mathematics
Type: BOOK - Published: 2014-02-12 - Publisher: Springer Science & Business Media

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The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds
The Generic Chaining
Language: en
Pages: 0
Authors: Michel Talagrand
Categories: Mathematics
Type: BOOK - Published: 2005-03-17 - Publisher: Springer

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The fundamental question of characterizing continuity and boundedness of Gaussian processes goes back to Kolmogorov. After contributions by R. Dudley and X. Fer
High-Dimensional Probability
Language: en
Pages: 299
Authors: Roman Vershynin
Categories: Business & Economics
Type: BOOK - Published: 2018-09-27 - Publisher: Cambridge University Press

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An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Upper and Lower Bounds for Stochastic Processes
Language: en
Pages: 727
Authors: Michel Talagrand
Categories: Mathematics
Type: BOOK - Published: 2022-01-01 - Publisher: Springer Nature

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This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader