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  • Cited by 42
      • Allan Pinkus, Technion - Israel Institute of Technology, Haifa
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 August 2015
      07 August 2015
      ISBN:
      9781316408124
      9781107124394
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.45kg, 218 Pages
      Dimensions:
      Weight & Pages:
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    Book 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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