Computational problems in the linear perceptron: a possible solution--dynamic definition of net topology

Antonio Luigi Perrone; Gianfranco Basti

doi:10.1117/12.205098

6 April 1995 Computational problems in the linear perceptron: a possible solution--dynamic definition of net topology

Proceedings Volume 2492, Applications and Science of Artificial Neural Networks; (1995) https://doi.org/10.1117/12.205098
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

With respect to Rosenblatt linear perceptron, two classical limitation theorems demonstrated by M. Minsky and S. Papert are discussed. These two theorems, `(Psi) _One-in-a-box' and `(Psi) _Parity,' ultimately concern the intrinsic limitations of parallel calculations in pattern recognition problems. We demonstrate a possible solution of these limitation problems by substituting the static definition of characteristic functions and of their domains in the `geometrical' perceptron, with their dynamic definition. This dynamic consists in the mutual redefinition of the characteristic function and of its domain depending on the matching with the input.

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Antonio Luigi Perrone and Gianfranco Basti "Computational problems in the linear perceptron: a possible solution--dynamic definition of net topology", Proc. SPIE 2492, Applications and Science of Artificial Neural Networks, (6 April 1995); https://doi.org/10.1117/12.205098

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