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Adaptive synaptogenesis constructs networks that maintain information and reduce statistical dependence

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Abstract

This report demonstrates the effectiveness of two processes in constructing simple feedforward networks which perform good transformations on their inputs. Good transformations are characterized by the minimization of two information measures: the information loss incurred with the transformation and the statistical dependency of the output. The two processes build appropriate synaptic connections in initially unconnected networks. The first process, synaptogenesis, creates new synaptic connections; the second process, associative synaptic modification, adjusts the connection strength of existing synapses. Synaptogenesis produces additional innervation for each output neuron until each output neuron achieves a firing rate of approximately 0.50. Associative modification of existing synaptic connections lends robustness to network construction by adjusting suboptimal choices of initial synaptic weights. Networks constructed using synaptogenesis and synaptic modification successfully preserve the information content of a variety of inputs. By recording a high-dimensional input into an output of much smaller dimension, these networks drastically reduce the statistical dependence of neuronal representations. Networks constructed with synaptogenesis and associative modification perform good transformations over a wide range of neuron firing thresholds.

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References

  • Adelsberger-Mangan DM, Levy WB (1992) Information maintenance and statistical dependence reduction in simple neural networks. Biol Cybern 67:469–477

    Google Scholar 

  • Adelsberger-Mangan DM, Levy WB (1993) Character recognition using adaptively constructed feed-forward networks. In: Proceedings of the World Congress on Neural Networks, vol II. Erlbaum, Hillsdale, NJ, pp 423–426

    Google Scholar 

  • Ambros-Ingerson J, Granger R, Lynch G (1990) Simulation of paleocortex performs hierarchial clustering. Science 247:1344–1348

    Google Scholar 

  • Atick JJ (1992) Could information theory provide an ecological theory of sensory processing? Network 3:213–251

    Google Scholar 

  • Atick JJ, Redlich AN (1990) Towards a theory of early visual processing. Neural Comput 2:308–320

    Google Scholar 

  • Atick JJ, Redlich AN (1992) What does the retina known about natural scenes? Neural Comput 4:196–210

    Google Scholar 

  • Atick JJ, Li Z, Redlich AN (1992) Understanding retinal color coding from first principles. Neural Comput 4:559–572

    Google Scholar 

  • Attneave F (1954) Informational aspects of visual perception. Psychol Rev 61:183–193

    Google Scholar 

  • Barlow HB (1959) Sensory mechanisms, the reduction of redundancy, and intelligence. In: The mechanization of thought processes. National Physical Laboratory Symposium No. 10, Her Majesty's Stationery Office, London, pp 537–559

    Google Scholar 

  • Barlow HB, Földiák P (1989) Adaptation and decorrelation in the cortex. In: Durbin RM, Miall C, Mitchison GJ (eds) The computing neuron. Addison-Wesley, Wokingham, UK, pp 52–74

    Google Scholar 

  • Bialek W (1989) Theoretical physics meets experimental neurobiology. In: Jen E (eds) Lectures in complex systems. (SFI studies in the sciences of complexity, vol 2) Addison-Wesley, Reading, MA, pp 513–595

    Google Scholar 

  • Bialek W, Rieke F, de Ruyter van Stevenick RR, Warland D (1991a) Reading a neural code. Science 252:1854–1857

    Google Scholar 

  • Bialek W, Ruderman DL, Zee A (1991b) Optimal sampling of natural images: a design principle for the visual system? In: Lippmann RP. Moody JE, Touretzky DS (eds) Advances in neural information processing systems, vol 3. Morgan Kaufmann, San Mateo, CA pp 363–369

    Google Scholar 

  • Field DJ (1987) Relations between the statistics of natural images and the response properties of cortical cells. J Opt Soc Am [A] 4:2379–2394

    Google Scholar 

  • Földiák P (1989) Adaptive network for optimal linear feature extraction. In: IEEE/INNS International Joint Conference on Neural Networks, vol 1. IEEE Press, New York, pp 401–405

    Google Scholar 

  • Földiák P (1990) Forming sparse representations by local anti-Hebbian learning. Biol Cybern 64:165–170

    Google Scholar 

  • Levy WB (1985) An information/computation theory of hippocampal function. Soc Neurosci Abstr 11:493

    Google Scholar 

  • Levy WB (1989) A computational approach to hippocampal function. In: Hawkins RD, Bower GH (eds) Computational models of learning in simple neural systems. (The psychology of learning and motivation, vol 23) Academic Press, San Diego, CA, pp 243–305

    Google Scholar 

  • Levy WB, Colbert CM (1991) Adaptive synaptogenesis can complement associative potentiation/depression. In: Commons ML (eds) Neural network models of conditioning: quantitative analyses of behavior, vol 13. Erlbaum, Hillsdale, NJ, pp 53–68

    Google Scholar 

  • Levy WB, Desmond NL (1985) The rules of elemental synaptic plasticity. In: Levy WB. Anderson JA, Lehmkuhle S (eds) Synaptic modification, neuron selectivity, and nervous system organization. Erlbaum, Hillsdale, NJ, pp 105–121

    Google Scholar 

  • Linsker R (1987) Towards an organizing principle for a layered perceptual network. In: Anderson DZ (ed) Neural information processing systems. American Institute of Physics, New York, pp 485–494

    Google Scholar 

  • Linsker R (1988) Self-organization in a perceptual network. Computer 21:105–117

    Google Scholar 

  • Linsker R (1989a) An application of the principle of maximum information preservation to linear systems. In: Touretzky DS (ed) Advances in neural information processing systems, vol 1. Morgan Kaufmann, San Mateo, CA, pp 186–194

    Google Scholar 

  • Linsker R (1989b) How to generate ordered maps by maximizing the mutual information between input and output signals. Neural Comput 1:402–411

    Google Scholar 

  • Linsker R (1990) Perceptual neural organization: some approaches based on network models and information theory. Annu Rev Neurosci 13:257–281

    Google Scholar 

  • Linsker R (1992) Local synaptic learning rules suffice to maximize mutual information in a linear network. Neural Comput 4:672–683

    Google Scholar 

  • Miller KD, Keller JB, Stryker MP (1989) Ocular dominance column development: analysis and simulation. Science 245:605–615

    Google Scholar 

  • Richards DSP, Levy WB (1990) Optimum preprocessing networks and a data processing theorem. In: IEEE/INNS International Joint Conference on Neural Networks, vol 1. IEEE Press, New York, pp 19–22

    Google Scholar 

  • Shannon CE, Weaver W (1949) The mathematical theory of communication. University of Illinois Press, Urbana, IL

    Google Scholar 

  • Shepherd G (1979) The synaptic organization of the brain. Oxford University Press, New York

    Google Scholar 

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Adelsberger-Mangan, D.M., Levy, W.B. Adaptive synaptogenesis constructs networks that maintain information and reduce statistical dependence. Biol. Cybern. 70, 81–87 (1993). https://doi.org/10.1007/BF00202569

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