Bayesian reconstruction of memories stored in neural networks from their connectivity.

Journal: PLoS computational biology
Published Date:

Abstract

The advent of comprehensive synaptic wiring diagrams of large neural circuits has created the field of connectomics and given rise to a number of open research questions. One such question is whether it is possible to reconstruct the information stored in a recurrent network of neurons, given its synaptic connectivity matrix. Here, we address this question by determining when solving such an inference problem is theoretically possible in specific attractor network models and by providing a practical algorithm to do so. The algorithm builds on ideas from statistical physics to perform approximate Bayesian inference and is amenable to exact analysis. We study its performance on three different models, compare the algorithm to standard algorithms such as PCA, and explore the limitations of reconstructing stored patterns from synaptic connectivity.

Authors

  • Sebastian Goldt
    Institut de Physique Théorique, CNRS, CEA, Université Paris-Saclay, France.
  • Florent Krzakala
    Laboratoire de Physique Statistique, Sorbonne Universités, Université Pierre et Marie Curie Paris 6, Ecole Normale Supérieure, 75005 Paris, France.
  • Lenka Zdeborová
    Institut de Physique Théorique, CNRS, CEA, Université Paris-Saclay, France.
  • Nicolas Brunel
    Department of Statistics, The University of Chicago, Chicago, Illinois, USA.