Ridge Functions (Cambridge Tracts in Mathematics) Allan Pinkus » holypet.ru

Ridge Functions Cambridge Tracts in Mathematics Book 205.

Aug 07, 2015 · Ridge Functions Cambridge Tracts in Mathematics Book 205 - Kindle edition by Pinkus, Allan. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Ridge Functions Cambridge Tracts in Mathematics Book 205. Ridge Functions is the first book devoted to studying them as entities in and of themselves. The author describes their central properties and provides a solid theoretical foundation for researchers working in areas such as approximation or data science.

Ridge functions are a rich class of simple multivariate functions which have found applications in a variety of areas. These include partial differential equations where they are sometimes termed 'plane waves', computerised tomography, projection pursuit in the analysis of large multivariate data sets, the MLP model in neural networks, Waring's problem over linear forms, and approximation theory. Sep 01, 2015 · Ridge Functions is the first book devoted to studying them as entities in and of themselves. The author describes their central properties and provides a solid theoretical foundation for researchers working in areas such as approximation or data science. Ridge Functions Cambridge Tracts in Mathematics Book 205 eBook: Pinkus, Allan: Amazon.in: Kindle Store. A. Pinkus, Ridge Functions, Cambridge Tracts in Mathematics, Cambridge University Press, Vol. 205, 218 pages, 2015. The book is available here. F. Cucker, T. Krick, A. Pinkus, A. Szanto, editors Foundations of Computational Mathematics, Budapest 2011, London Mathematical Lecture Note Series 403, Cambridge University Press, 2012. Cambridge tracts in mathematics. Vol. 181 Pinkus, Allan. Totally positive matrices. QA188 P55 Vol. 205 Pinkus, Allan. Ridge functions. QA323 P55.

On Ridge Functions, Azerbaijan Journal of Mathematics 3 2013, 122-130. []. with A. Kroó On Stability of the Metric Projection Operator, SIAM J. Math. Analysis 45 2013, 639-661. []. This article may be viewed at SIAM Journal on Mathematical Analysis. CAMBRIDGE TRACTS IN MATHEMATICS General Editors. Allan Pinkus Frontmatter More information. Contents Foreword page ix 1 Basic properties of totally positive and strictly totally positive matrices 1 1.1 Preliminaries 1. 5.5 Eigenvalues as functions of matrix elements 149 5.6 Remarks 152. Cambridge Tracts in Mathematics: Ridge Functions 205 by Allan Pinkus 2015, Hardcover.

Aug 07, 2015 · Ridge Functions is the first book devoted to studying them as entities in and of themselves. The author describes their central properties and provides a solid theoretical foundation for researchers working in areas such as approximation or data science. represented by a sum of arbitrarily behaved ridge functions, then it can be represented by a sum of ridge functions of the same smoothness class. This provides an answer to the question of A. Pinkus raised in his monograph “Ridge Functions, Cambridge Tracts in Mathematics 205, Cambridge University Press, 2015”. Jan 11, 2017 · Ridge Functions Allan Pinkus Technion – Israel Institute of Technology, Haifa. This book presents the state of the art in the theory of ridge functions, providing a solid theoretical foundation.

In this paper we prove that if a function of a certain smoothness class is represented by a sum of arbitrarily behaved ridge functions, then it can be represented by a sum of ridge functions of the same smoothness class. This provides an answer to the question of A. Pinkus raised in his monograph "Ridge Functions, Cambridge Tracts in Mathematics 205, Cambridge University Press, 2015".

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