Ridge functions / Allan Pinkus.

Show other versions (2)

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...

Full description

Bibliographic Details
Main Author: Pinkus, Allan, 1946- (Author)
Language:English
Published: Cambridge : Cambridge University Press, 2015.
Series:Cambridge tracts in mathematics ; 205.
Subjects:
Function spaces.
Multivariate analysis.
Numbers, Real.
Physical Description:x, 207 pages : illustrations ; 24 cm.
Format: Book
Contents:
  • 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.