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An inverse problem in neural processing

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Abstract

Any neural network aimed at the coding sensory events must contain computational properties which generally allow the organism to reconstruct the input signals with some degree of accuracy-else the association between stimulus and response would, at best, be uncertain. In this paper we investigate the problem of reconstructing external input signals to neural networks when the activity profiles of only some of its member cells are known. The evolution and activities of such cells are defined by an earlier formulation of one of us (Oğuztöreli 1979) and, here, we restrict our application to local curcuits within the vertebrate retina. Solutions to this inverse coding problem are presented for specific network equations and examplified with 1, 3, and 5 neuron cases.

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Authors and Affiliations

  1. Department of Mathematics and Psychology, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    M. N. Oğuztöreli & T. M. Caelli

  2. Dept. of Mathematics, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    M. N. Oğuztöreli

Authors
  1. M. N. Oğuztöreli
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  2. T. M. Caelli
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Additional information

This work was partially supported by the Natural Sciences and Engineering Research Council of Canada under Grant A-4345 to M.N.O. and grant A-4395 to T.M.C. through the University of Alberta

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Oğuztöreli, M.N., Caelli, T.M. An inverse problem in neural processing. Biol. Cybern. 53, 239–245 (1986). https://doi.org/10.1007/BF00336994

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  • DOI: https://doi.org/10.1007/BF00336994

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