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Parametric Amplification of Signals by Noise in Neurons and Neural Networks

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Abstract

The positive role of parametric noise in neural systems is shown. In analogy with transistor effect the weak input signals control the intensive response of nonlinear neurons to parametric noise. As a result gigantic amplification of input signals can be obtained. The mechanism of amplification is simple and robust. It can relate both to biological and artificial neural networks. Such amplification was first investigated in a model of overdamped Kramers oscillator [1,2].

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References

  1. Ginzburg, S. L. and Pustovoit, M. A.: Noise-induced hypersensitivity to weak alternating signals, J. Exp. Theor. Phys. Lett. (JETP Lett.), 67 (1998), 627-632.

    Google Scholar 

  2. Gerashchenco, O. V., Ginzburg, S. L. and Pustovoit, M. A.: Multiplicative noise-induced amplification of weak signals in a system of on-off intermittency, J. Exp. Theor. Phys. Lett (JETP Lett.) 67 (1998), 997-1003.

    Google Scholar 

  3. Horsthemke, W. and Lefever, R.: Noise-induced Transitions. Theory and Application in Physics, Chemistry, and Biology, Springer-Verlag, 1984.

  4. Gammaitoni, S., Hanggy, P., Jung, P. and Marchesoni, F.: Stochastic resonance, Rev. Mod. Phys. 70 (1998), 223-287.

    Google Scholar 

  5. Schneidman, E., Freedman, B. and Segev, I.: Ion channel stochasticity may be critical in determining the reliability and precision of spike timing, Neural Computation 10 (1998), 1679-1703.

    Google Scholar 

  6. Kandel, E. R.: Cellular Basic of Behavior, Freeman: San Francisco, CA, 1976.

    Google Scholar 

  7. Brenner, N., Agam, O., Bialek, W. and De Rauter van Steveninck, R. R.: Universal statistical behavior of neural spike trains. Phys. Rev. Lett., 81 (1998), 4000-4003.

    Google Scholar 

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Balkarey, Y.I., Nagoutchev, V.O., Evtikhov, M.G. et al. Parametric Amplification of Signals by Noise in Neurons and Neural Networks. Neural Processing Letters 12, 215–223 (2000). https://doi.org/10.1023/A:1026578116767

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  • DOI: https://doi.org/10.1023/A:1026578116767

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