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Ridge functions

Pinkus, Allan, (1946-)

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Ridge functions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Ridge functions/ Allan Pinkus.
作者:	Pinkus, Allan,
出版者:	Cambridge :Cambridge University Press, : 2015.,
面頁冊數:	x, 207 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Introduction -- Smoothness -- Uniqueness -- Indentifying functions and directions -- Polynomial ridge functions -- Density and representation -- Closure -- Existence and characterization of best approximations -- Approximation algorithms -- Integral representations -- Interpolation at points -- Interpolation on lines.
標題:	Function spaces. -
電子資源:	https://doi.org/10.1017/CBO9781316408124
ISBN:	9781316408124

Ridge functions
Pinkus, Allan,1946-

Ridge functions[electronic resource] /Allan Pinkus. - Cambridge :Cambridge University Press,2015. - x, 207 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;205. - Cambridge tracts in mathematics ;205..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction -- Smoothness -- Uniqueness -- Indentifying functions and directions -- Polynomial ridge functions -- Density and representation -- Closure -- Existence and characterization of best approximations -- Approximation algorithms -- Integral representations -- Interpolation at points -- Interpolation on lines.

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.

ISBN: 9781316408124Subjects--Topical Terms:

596357
Function spaces.

LC Class. No.: QA323 / .P56 2015

Dewey Class. No.: 515.73

Ridge functions
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