Interpolating support information granules

  • Authors:
  • B. Apolloni;S. Bassis;D. Malchiodi;W. Pedrycz

  • Affiliations:
  • Dipartimento di Scienze dell'Informazione, Università degli Studi di Milano, Milano, Italy;Dipartimento di Scienze dell'Informazione, Università degli Studi di Milano, Milano, Italy;Dipartimento di Scienze dell'Informazione, Università degli Studi di Milano, Milano, Italy;Department of Electrical and Computer Engineering, University of Alberta, ECERF, Edmonton, Alberta, Canada

  • Venue:
  • ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part II
  • Year:
  • 2006

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Abstract

We develop a hybrid strategy combing thruth-functionality, kernel, support vectors and regression to construct highly informative regression curves. The idea is to use statistical methods to form a confidence region for the line and then exploit the structure of the sample data falling in this region for identifying the most fitting curve. The fitness function is related to the fuzziness of the sampled points and is regarded as a natural extension of the statistical criterion ruling the identification of the confidence region within the Algorithmic Inference approach. Its optimization on a non-linear curve passes through kernel methods implemented via a smart variant of support vector machine techniques. The performance of the approach is demonstrated for three well-known benchmarks.