Effects of second-order statistics on independent component filters

  • Authors:
  • André Cavalcante;Allan Kardec Barros;Yoshinori Takeuchi;Noboru Ohnishi

  • Affiliations:
  • School of Information Science, Nagoya University, Japan;Laboratory for Biological Information Processing, Universidade Federal do Maranhao, Brazil;School of Information Science, Nagoya University, Japan;School of Information Science, Nagoya University, Japan

  • Venue:
  • ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part I
  • Year:
  • 2011

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Abstract

It is known that independent component analysis (ICA) generates filters that are similar to the receptive fields of primary visual cortex (V1) cells. However, ICA fails to yield the frequency tuning exhibited by V1 receptive fields. This work analysis how the shape of IC filters depend on second-order statistics of the input data. Specifically, we show theoretically and through experimentation how the structure of IC filters change with second-order statistics and different types of data preprocessing. Here, we preprocess natural scenes according to four conditions: whitening, pseudo-whitening, local-whitening and high-passfiltering. As results, we show that the filter structure is strongly modulated by the inverse of the covariance of the input signal. However, the distribution of size in frequency domain are similarly biased for all preprocessing conditions.