Ridge Functions

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics, Computers, General Computing
Cover of the book Ridge Functions by Allan Pinkus, Cambridge University Press
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Author: Allan Pinkus ISBN: 9781316430453
Publisher: Cambridge University Press Publication: August 7, 2015
Imprint: Cambridge University Press Language: English
Author: Allan Pinkus
ISBN: 9781316430453
Publisher: Cambridge University Press
Publication: August 7, 2015
Imprint: Cambridge University Press
Language: English

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. 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. He also includes an extensive bibliography and discusses some of the unresolved questions that may set the course for future research in the field.

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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. 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. He also includes an extensive bibliography and discusses some of the unresolved questions that may set the course for future research in the field.

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