Lectures on Gaussian Processes (SpringerBriefs in Mathematics)

Lifshits, Mikhail

ISBN 10: 3642249388 ISBN 13: 9783642249389

Published by Springer, 2012

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Lectures on Gaussian Processes (SpringerBriefs in Mathematics)

Publisher

Springer

Publication Date

2012

Language

English

ISBN 10

3642249388

ISBN 13

9783642249389

Binding

Soft cover

Condition

New

Seller catalogs

About this title

Synopsis

Gaussian processes can be viewed as a far-reaching infinite-dimensional extension of classical normal random variables. Their theory presents a powerful range of tools for probabilistic modelling in various academic and technical domains such as Statistics, Forecasting, Finance, Information Transmission, Machine Learning - to mention just a few. The objective of these Briefs is to present a quick and condensed treatment of the core theory that a reader must understand in order to make his own independent contributions. The primary intended readership are PhD/Masters students and researchers working in pure or applied mathematics. The first chapters introduce essentials of the classical theory of Gaussian processes and measures with the core notions of reproducing kernel, integral representation, isoperimetric property, large deviation principle. The brevity being a priority for teaching and learning purposes, certain technical details and proofs are omitted. The later chapters touch important recent issues not sufficiently reflected in the literature, such as small deviations, expansions, and quantization of processes. In university teaching, one can build a one-semester advanced course upon these Briefs.

From the Back Cover

The first chapters introduce essentials of the classical theory of Gaussian processes and measures with the core notions of reproducing kernel, integral representation, isoperimetric property, large deviation principle. The brevity being a priority for teaching and learning purposes, certain technical details and proofs are omitted. The later chapters touch important recent issues not sufficiently reflected in the literature, such as small deviations, expansions, and quantization of processes. In university teaching, one can build a one-semester advanced course upon these Briefs.

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