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An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

2016-04-11 Mathematics
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Release : 2016-04-11
Genre : Mathematics
Kind : eBook
Book Rating : 092/5 ( reviews)

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Book Synopsis An Introduction to the Theory of Reproducing Kernel Hilbert Spaces by : Vern I. Paulsen

Download or read book An Introduction to the Theory of Reproducing Kernel Hilbert Spaces written by Vern I. Paulsen. This book was released on 2016-04-11. Available in PDF, EPUB and Kindle. Book excerpt: A unique introduction to reproducing kernel Hilbert spaces, covering the fundamental underlying theory as well as a range of applications.

A Primer on Reproducing Kernel Hilbert Spaces

2015 Hilbert space
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Release : 2015
Genre : Hilbert space
Kind : eBook
Book Rating : 934/5 ( reviews)

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Book Synopsis A Primer on Reproducing Kernel Hilbert Spaces by : Jonathan H. Manton

Download or read book A Primer on Reproducing Kernel Hilbert Spaces written by Jonathan H. Manton. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt: Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and explaining when and why these spaces are efficacious. The novel viewpoint is that reproducing kernel Hilbert space theory studies extrinsic geometry, associating with each geometric configuration a canonical overdetermined coordinate system. This coordinate system varies continuously with changing geometric configurations, making it well-suited for studying problems whose solutions also vary continuously with changing geometry. This primer can also serve as an introduction to infinite-dimensional linear algebra because reproducing kernel Hilbert spaces have more properties in common with Euclidean spaces than do more general Hilbert spaces.

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

2016-04-11 Mathematics
Download An Introduction to the Theory of Reproducing Kernel Hilbert Spaces PDF Online Free

Author :
Release : 2016-04-11
Genre : Mathematics
Kind : eBook
Book Rating : 738/5 ( reviews)

GET EBOOK


Book Synopsis An Introduction to the Theory of Reproducing Kernel Hilbert Spaces by : Vern I. Paulsen

Download or read book An Introduction to the Theory of Reproducing Kernel Hilbert Spaces written by Vern I. Paulsen. This book was released on 2016-04-11. Available in PDF, EPUB and Kindle. Book excerpt: Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.

A Primer on Reproducing Kernel Hilbert Spaces

2015-11-20 Technology & Engineering
Download A Primer on Reproducing Kernel Hilbert Spaces PDF Online Free

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Release : 2015-11-20
Genre : Technology & Engineering
Kind : eBook
Book Rating : 927/5 ( reviews)

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Book Synopsis A Primer on Reproducing Kernel Hilbert Spaces by : Jonathan H. Manton

Download or read book A Primer on Reproducing Kernel Hilbert Spaces written by Jonathan H. Manton. This book was released on 2015-11-20. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert space theory is an invaluable mathematical tool in numerous signal processing and systems theory applications. Hilbert spaces satisfying certain additional properties are known as Reproducing Kernel Hilbert Spaces (RKHSs). This primer gives a gentle and novel introduction to RKHS theory. It also presents several classical applications. It concludes by focusing on recent developments in the machine learning literature concerning embeddings of random variables. Parenthetical remarks are used to provide greater technical detail, which some readers may welcome, but they may be ignored without compromising the cohesion of the primer. Proofs are there for those wishing to gain experience at working with RKHSs; simple proofs are preferred to short, clever, but otherwise uninformative proofs. Italicised comments appearing in proofs provide intuition or orientation or both. A Primer on Reproducing Kernel Hilbert Spaces empowers readers to recognize when and how RKHS theory can profit them in their own work.

Reproducing Kernel Hilbert Spaces in Probability and Statistics

2011-06-28 Business & Economics
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Release : 2011-06-28
Genre : Business & Economics
Kind : eBook
Book Rating : 968/5 ( reviews)

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Book Synopsis Reproducing Kernel Hilbert Spaces in Probability and Statistics by : Alain Berlinet

Download or read book Reproducing Kernel Hilbert Spaces in Probability and Statistics written by Alain Berlinet. This book was released on 2011-06-28. Available in PDF, EPUB and Kindle. Book excerpt: The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students in Statistics, Mathematics or Engineering, or to scientists with an equivalent level.

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