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On reliable computation with formal neurons

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2 Author(s)
Venkatesh, S.S. ; Moore Sch. of Electr. Eng., Pennsylvania Univ., Philadelphia, PA, USA ; Psaltis, D.

The authors investigate the computing capabilities of formal McCulloch-Pitts neurons when errors are permitted in decisions. They assume that m decisions are to be made on a randomly specified m set of points in n space and that an error tolerance of εm decision errors is allowed, with 0⩽ε<1/2. The authors are interested in how large an m can be selected such that the neuron makes reliable decisions within the prescribed error tolerance. Formal results for two protocols for error-tolerance-a random error protocol and an exhaustive error protocol-are obtained. The results demonstrate that a formal neuron has a computational capacity that is linear in n and that this rate of capacity growth persists even when errors are tolerated in the decisions

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:14 ,  Issue: 1 )