The impact of network topology on self-organizing maps

  • Authors:
  • Fei Jiang;Hugues Berry;Marc Schoenauer

  • Affiliations:
  • INRIA Saclay, ORSAY CEDEX, France;INRIA Saclay, ORSAY CEDEX, France;INRIA Saclay, ORSAY CEDEX, France

  • Venue:
  • Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation
  • Year:
  • 2009

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Abstract

In this paper, we study instances of complex neural networks, i.e. neural networks with complex topologies. We use Self-Organizing Map neural networks whose neighborhood relationships are defined by a complex network, to classify handwritten digits. We show that topology has a small impact on performance and robustness to neuron failures, at least at long learning times. Performance may however be increased (by almost $10\%$) by evolutionary optimization of the network topology. In our experimental conditions, the evolved networks are more random than their parents, but display a more heterogeneous degree distribution.