The Complexity of the Batch Neural Gas Extended to Local PCA

  • Authors:
  • Iván Machón-González;Hilario López-García;José Luís Calvo-Rolle

  • Affiliations:
  • Departamento de Ingeniería Eléctrica, Electrónica de Computadores y Sistemas. Edificio Departamental, Universidad de Oviedo. Escuela Politécnica Superior de Ingeniería., G ...;Departamento de Ingeniería Eléctrica, Electrónica de Computadores y Sistemas. Edificio Departamental, Universidad de Oviedo. Escuela Politécnica Superior de Ingeniería., G ...;Departamento de Ingeniería Industrial. Avda., Universidad de A Coruña. Escuela Universitaria Politécnica., Ferrol (A Coruña)., Spain 15405

  • Venue:
  • IWANN '09 Proceedings of the 10th International Work-Conference on Artificial Neural Networks: Part I: Bio-Inspired Systems: Computational and Ambient Intelligence
  • Year:
  • 2009

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Abstract

The adaptation of a neural gas algorithm to local principal component analysis (NG-LPCA) is a useful technique in data compression, pattern recognition, classification or even in data estimation. However, the batch NG-LPCA becomes unfeasible when dealing with high dimensional data. In this paper, a regularization method is described in detail to prevent the batch NG-LPCA approach from instability. The proposed method is tested and the results seem to prove that it is a suitable tool for classifying tasks avoiding instability with high dimensional datasets.