Contrastive Similarity Matching for Supervised Learning.

Journal: Neural computation
Published Date:

Abstract

We propose a novel biologically plausible solution to the credit assignment problem motivated by observations in the ventral visual pathway and trained deep neural networks. In both, representations of objects in the same category become progressively more similar, while objects belonging to different categories become less similar. We use this observation to motivate a layer-specific learning goal in a deep network: each layer aims to learn a representational similarity matrix that interpolates between previous and later layers. We formulate this idea using a contrastive similarity matching objective function and derive from it deep neural networks with feedforward, lateral, and feedback connections and neurons that exhibit biologically plausible Hebbian and anti-Hebbian plasticity. Contrastive similarity matching can be interpreted as an energy-based learning algorithm, but with significant differences from others in how a contrastive function is constructed.

Authors

  • Shanshan Qin
    John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, U.S.A. ssqin@g.harvard.edu.
  • Nayantara Mudur
    Department of Physics, Harvard University, Cambridge, MA 02138, U.S.A. nmudur@g.harvard.edu.
  • Cengiz Pehlevan
    Janelia Research Campus, Howard Hughes Medical Institute, Ashburn, VA 20147, and Simons Center for Analysis, Simons Foundation, New York, NY 10010, U.S.A. cpehlevan@simonsfoundation.org.