EXPERIMENTS WITH A PATTERN CLASSIFICATION TECHNIQUE.

Abstract

A variety of problems in different fields of engineering can be formulated as problems of pattern classification. A set of vectors, x, belonging both to class A and class B are given. It is required to find the function f(x) such that f > 0 when x epsilon A, and f > 0 when x epsilon B. An exponentially convergent and finite iterative procedure for solution of this problem for linear f is presented. The statistical and geometrical properties of the procedure as well as methods for extension to nonlinear cases are discussed. The procedure isapplied to the design of (i) switching circuits which are linearly or quadratically separable; (ii) filters for two-dimensional picture processing involving the detection of tanks in backgrounds; and (iii) optimal feedback controller for linear dynamic systems. Results of the experiments (i - iii) confirm the potential and utility of the procedure. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 21, 1965
Accession Number
AD0465187

Entities

People

  • A. Arcese
  • C. Blaydon
  • R. L. Kashyap
  • Y. C. Ho

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Circuit Analysis
  • Circuits
  • Classification
  • Detection
  • Electrical Engineering
  • Engineering
  • Feedback
  • Optical Switching
  • Switching
  • Switching Circuits
  • Two Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Business Analytics
  • Calculus or Mathematical Analysis