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A Near Linear Algorithm for Testing Linear Separability in Two Dimensions

  • Sylvain Contassot-Vivier
  • David Elizondo
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 311)

Abstract

We present a near linear algorithm for determining the linear separability of two sets of points in a two-dimensional space. That algorithm does not only detects the linear separability but also computes separation information. When the sets are linearly separable, the algorithm provides a description of a separation hyperplane. For non linearly separable cases, the algorithm indicates a negative answer and provides a hyperplane of partial separation that could be useful in the building of some classification systems.

Keywords

Classification linear separability 2D geometry 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Sylvain Contassot-Vivier
    • 1
  • David Elizondo
    • 2
  1. 1.Loria, UMR 7503Université de LorraineNancyFrance
  2. 2.Centre for Computational IntelligenceDe Montfort UniversityLeicesterUnited Kingdom

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