Convergence Behavior of Competitive Repetition-Suppression Clustering

  • Authors:
  • Davide Bacciu;Antonina Starita

  • Affiliations:
  • IMT Lucca Institute for Advanced Studies, , Lucca, Italy 55100 and Dipartimento di Informatica, Università di Pisa, Pisa, Italy 56127;Dipartimento di Informatica, Università di Pisa, Pisa, Italy 56127

  • Venue:
  • Neural Information Processing
  • Year:
  • 2007

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Abstract

Competitive Repetition-suppression (CoRe) clustering is a bio-inspired learning algorithm that is capable of automatically determining the unknown cluster number from the data. In a previous work it has been shown how CoRe clustering represents a robust generalization of rival penalized competitive learning (RPCL) by means of M-estimators. This paper studies the convergence behavior of the CoRe model, based on the analysis proposed for the distance-sensitive RPCL (DSRPCL) algorithm. Furthermore, it is proposed a global minimum criterion for learning vector quantization in kernel space that is used to assess the correct location property for the CoRe algorithm.