On Extensions to Fishers Linear Discriminant Function,

Abstract

This Memorandum describes how Fisher's Linear Discriminant can be combined with the Fukunaga-Koontz transform to give a useful technique for reduction f feature space from many to two or three dimensions. Performance is seen to be superior in general to the Foley-Sammon extension to fisher's method. The technique is then extended to show how a new radius vector (or pair of radius vectors) can be combined with fisher's vector to produce a classifier with even more power of discrimination. Illustrations of the technique show that good discrimination can be obtained even if there is considerable overlap of classes in any single projection. Keywords include: Index Terms; Dimensionality reduction, Discriminant vectors, Feature selection, Fisher criterion, Linear transformations, Separability. (Great Britain)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADA165661

Entities

People

  • I. D. Longstaff

Organizations

  • Royal Signals and Radar Establishment

Tags

Communities of Interest

  • Air Platforms
  • Human Systems

DTIC Thesaurus Topics

  • Boundaries
  • Classification
  • Covariance
  • Data Sets
  • Diagrams
  • Dimensionality Reduction
  • Discrimination
  • Distribution Functions
  • Eigenvalues
  • Eigenvectors
  • Feature Selection
  • Foreign Languages
  • Gaussian Distributions
  • Machine Learning
  • Probability
  • Training
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.

Technology Areas

  • Space