Gauge groups and data classification

  • Authors:
  • N. Prabhu

  • Affiliations:
  • School of Industrial Engineering, Purdue University, Room 238, Grisson Hall, West Lafayette, IN

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2003

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Abstract

We present a new method for constructing nonlinear classifiers. Given any two distinct sets of points in Rn the new method can construct, using gauge group techniques, a closed form expression of a surface, Φ(x) = 0, which separates the two sets. We also show that any two distinct sets of points in Rn can be separated by a polynomial surface and present an algorithm for constructing such polynomial surfaces. Finally we present two numerical examples to illustrate the new method.