Tikhonov-Type regularization for restricted boltzmann machines

  • Authors:
  • KyungHyun Cho;Alexander Ilin;Tapani Raiko

  • Affiliations:
  • Department of Information and Computer Science, Aalto University School of Science, Finland;Department of Information and Computer Science, Aalto University School of Science, Finland;Department of Information and Computer Science, Aalto University School of Science, Finland

  • Venue:
  • ICANN'12 Proceedings of the 22nd international conference on Artificial Neural Networks and Machine Learning - Volume Part I
  • Year:
  • 2012

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Abstract

In this paper, we study a Tikhonov-type regularization for restricted Boltzmann machines (RBM). We present two alternative formulations of the Tikhonov-type regularization which encourage an RBM to learn a smoother probability distribution. Both formulations turn out to be combinations of the widely used weight-decay and sparsity regularization. We empirically evaluate the effect of the proposed regularization schemes and show that the use of them could help extracting better discriminative features with sparser hidden activation probabilities.