Approximation by Perceptron Networks

Abstract

In this paper we survey our recent results on properties of approximation by linear combinations of characteristic functions of half-spaces. We focus on existence of best approximation, impossibility of choosing among best approximations a continuous one, estimates of rates of approximation by linear combinations of "n" characteristic functions of half-spaces and integral representation as a linear combination of a continuum of half-spaces.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013757

Entities

People

  • Vera Kurkova

Organizations

  • Czech Academy of Sciences

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algebraic Topology
  • Banach Space
  • Coefficients
  • Computer Science
  • Continuity
  • Czech Republic
  • Hilbert Space
  • Integrals
  • Numbers
  • Plane Waves
  • Real Numbers
  • Sequences
  • Technical Information Centers
  • Topology
  • Waves
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space