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Lectures on gaussian processes / Mikhail Lifshits

Tác giả : Mikhail Lifshits

Nhà xuất bản : Springer

Năm xuất bản : 2012

Nơi xuất bản : New York

Mô tả vật lý : x, 121 p. ; 24 cm

ISBN : 9783642249389

Số phân loại : 519.23

Tùng thư : Springer Briefs in mathematics

Chủ đề : 1. Quy trình Gaussian. 2. Gaussian processes. 3. Xác suất thống kê.

Thông tin chi tiết

Tóm tắt :

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.

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