| 书目名称 | Lectures on Gaussian Processes | | 编辑 | Mikhail Lifshits | | 视频video | | | 概述 | A quick and condensed treatment of the core theory.Includes supplementary material: | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | 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 | | 出版日期 | Book 2012 | | 关键词 | 60G15; Gaussian processes, Gaussian measures; Reproducing Kernel Hilbert Space (RKHS); isoperimetric in | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-24939-6 | | isbn_softcover | 978-3-642-24938-9 | | isbn_ebook | 978-3-642-24939-6Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | Mikhail Lifshits 2012 |
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发表于 2025-3-21 18:10:55
