Ridge Functions (Cambridge Tracts in Mathematics Book 205) 1st Edition by Allan Pinkus (PDF)

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    Ebook Info

    • Published: 2015
    • Number of pages: 218 pages
    • Format: PDF
    • File Size: 0.93 MB
    • Authors: Allan Pinkus

    Description

    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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