On the exact solution of the Parity-N problem using ordered neural networks.

Lavretsky, E · Neural Netw · 2000

basic_science · Level V

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Abstract

In this paper, an exact solution of the Parity-N function representation problem is provided using a fully connected feedforward (ordered) neural network. The solution requires neither training nor adaptation, and employs (N - 1) neurons. It is shown that any function sigma: R --> R with the property: sigma(- 1) = sigma(1) = 1 and sigma(0) = 0, can be used as the neural network activation function.

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