Slow feature analysis: a theoretical analysis of optimal free responses

  • Authors:
  • Laurenz Wiskott

  • Affiliations:
  • Computational Neurobiology Laboratory, Salk Institute for Biological Studies, San Diego, CA and Institute for Advanced Studies, D-14193 Berlin, Germany and Institute for Theoretical Biology, Humbo ...

  • Venue:
  • Neural Computation
  • Year:
  • 2003

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Abstract

Temporal slowness is a learning principle that allows learning of invariant representations by extracting slowly varying features from quickly varying input signals. Slow feature analysis (SFA) is an efficient algorithm based on this principle and has been applied to the learning of translation, scale, and other invariances in a simple model of the visual system. Here, a theoretical analysis of the optimization problem solved by SFA is presented, which provides a deeper understanding of the simulation results obtained in previous studies.