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Robustness of a Neural Network Model for Differencing

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Abstract

A neural network, originally proposed as a model for nuclei in the auditory brainstem, uses gradients of cell thresholds to reliably compute the difference of inputs over wide input ranges. The encoding of difference is linear even though the individual components of the network are finite, saturating, nonlinear devices highly dependent on input level. Theorems are proven that explain the linear dependence of network output on difference and that show the robustness of the network to perturbations of the threshold gradients. There is some evidence that the network exists in the neural tissue of the auditory brainstem.

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References

  • Blackburn CC, Sachs MB (1989) Classification of unit types in the anteroventral cochlear nucleus: PST histograms and regularity analysis. J. Neurophysiol. 62(6):1303-1329.

    Google Scholar 

  • Blum JJ, Reed MC (1991) Further studies of a model for azimuthal encoding: Lateral superior olive neuron response ncurves and developmental processes. J. Acoust. Soc. Am. 90(4):1968-1978.

    Google Scholar 

  • Bourk TB (1976) Electrical responses of neural units in the anteroventral cochlear nucleus of the cat. Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.

    Google Scholar 

  • Casseday JH, Covey E (1987) Central auditory pathways in directional hearing. In: Yost WA, Gourevich G, eds. Directional Hearing. Springer-Verlag, New York. pp. 109-145.

    Google Scholar 

  • Fuzessery Z, Wenstrup J, Pollak G (1990). Determinants of horizontal sound location selectivity of binaurally excited neurons in an isofrequency region of the mustache bat inferior colliculus. J. Neurophysiol. 63:1128-1147.

    Google Scholar 

  • Goldberg JM, Brown PB (1969) Responses of binaural neurons of dog superior olivary complex to dichotic tonal stimuli: Some physiological mechanisms of sound localization. J. Neurophysiol. 32:613-636.

    Google Scholar 

  • Irvine DRF (1986) The Auditory Brainstem: Progress in Sensory Physiology 7 (Ottoson D, ed.). Springer-Verlag, New York.

    Google Scholar 

  • Kuhn GF (1987) Physical acoustics and measurements pertaining to directional hearing. In: Yost WA, Gourevich G, eds. Directional Hearing. Springer-Verlag, New York, pp. 3-25.

    Google Scholar 

  • Kuwada S, Yin TCT (1987) Physiological studies of directional hearing. In: Yost WA, Gourevich G, eds. Directional Hearing. Springer-Verlag, New York, pp. 146-176.

    Google Scholar 

  • Park TJ, Monsivais P, Pollak GD (1997) Processing of interaural intensity differences in the LSO: Role of interaural threshold differences. J. Neurophysiol. 77:2863-2878.

    Google Scholar 

  • Pollak GD, Wenstrup J, Fuzessery Z (1986). Auditory processing in the mustache bat's inferior colliculus. TINS Reviews Nov.-Dec., Elsevier Science, Amsterdam. pp. 556-561.

    Google Scholar 

  • Purves D (1988) Body and Brain: A Trophic Theory of Neural Connections. Harvard University Press, Boston, MA.

    Google Scholar 

  • Rayleigh, L (1907) On our perception of sound direction. Philos. Mag. 13:214-232.

    Google Scholar 

  • Reed MC, Blum JJ (1990) A model for the computation and encoding of azimuthal information by the lateral superior olive. J. Acoust. Soc. Am. 88:1442-1453.

    Google Scholar 

  • Smith PH, Joris PX, Yin TCT (1998) Anatomy and physiology of principal cells in the medial nucleus of the tradpezoid body (MNTB) of the cat. J. Neurophysiol. 79:3127-3142.

    Google Scholar 

  • Solodovnikov A (2000). Absolute intensity independence in a directional hearing model. Thesis, Duke University.

  • Takahashi TT, Barberini CL, Keller CH (1995) An anatomical substate for the inhibitory gradient in the VLVp of the owl. J. Comp. Neurol. 358:294-304.

    Google Scholar 

  • Tsuchitani C, Boudreaux JC (1966). Single-unit analysis of cat superior olive S-segment with tonal stimuli. J. Neurophysiol. 29:684-697.

    Google Scholar 

  • Tsuchitani C, Boudreaux JC (1969) Stimulus level of dichotically presented tones and of cat superior olive S-segment discharge. J. Acoust. Soc. Am. 46:979-988.

    Google Scholar 

  • Yost WA, Hafter ER (1987) Lateralization. In: Yost WA, Gourevich G, eds. Directional Hearing. Springer-Verlag, New York, pp. 49-84.

    Google Scholar 

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Solodovnikov, A., Reed, M.C. Robustness of a Neural Network Model for Differencing. J Comput Neurosci 11, 165–173 (2001). https://doi.org/10.1023/A:1012897716913

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  • DOI: https://doi.org/10.1023/A:1012897716913

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