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On matrices of neural nets

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Abstract

The structure of a complete or incomplete neural net is represented here by several matrices. The activity equation of the net follows in a general form. A chain or cycle is defined as a neural structure whose connection matrix is unitary. We can compute the number of simple chains by a recurrent formula.

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Literature

  • Dickson, L. E. 1930.Modern Algebraic Theories. Chicago: Sanborn.

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  • Landahl, H. D. and Richard Runge. 1946. “Outline of a Matrix Calculus for Neural Nets.”Bull. Math. Biophysics,8, 75–79.

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  • Pontrjagin, L. 1939.Topological Groups. Princeton Mathematical Series, No. 2. Princeton: Princeton University Press.

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Authors
  1. Telson Wei
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Academia Sinica

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Wei, T. On matrices of neural nets. Bulletin of Mathematical Biophysics 10, 63–67 (1948). https://doi.org/10.1007/BF02477433

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  • DOI: https://doi.org/10.1007/BF02477433

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