Ridge Functions
eBook - PDF

Ridge Functions

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Ridge Functions

About this book

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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Yes, you can access Ridge Functions by Allan Pinkus in PDF and/or ePUB format, as well as other popular books in Computer Science & Computer Science General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Table of contents
  7. Preface
  8. Glossary of Selected Symbols
  9. 1 Introduction
  10. 2 Smoothness
  11. 3 Uniqueness
  12. 4 Identifying Functions and Directions
  13. 5 Polynomial Ridge Functions
  14. 6 Density and Representation
  15. 7 Closure
  16. 8 Existence and Characterization of Best Approximations
  17. 9 Approximation Algorithms
  18. 10 Integral Representations
  19. 11 Interpolation at Points
  20. 12 Interpolation on Lines
  21. References
  22. Supplemental References
  23. Author Index
  24. Subject Index