On data classification by iterative linear partitioning

  • Authors:
  • Martin Anthony

  • Affiliations:
  • Department of Mathematics, The London School of Economics and Political Science, Houghton Street, London WC2A 2AE, UK

  • Venue:
  • Discrete Applied Mathematics - Discrete mathematics & data mining (DM & DM)
  • Year:
  • 2004

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Abstract

We analyze theoretically the generalization properties of multi-class data classification techniques that are based on iteratively partitioning the data points by hyperplanes. A special case is that in which the data points of different classes are separated by a number of parallel hyperplanes, and we investigate the algorithmics of finding a suitable partitioning in this case.