On the exact solution of the Parity-N problem using ordered neural networks.
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.
Lavretsky
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The Boeing Company-Phantom Works, Long Beach, CA 90807-5309, USA. eugene.lavretsky@boeing.com
D008959:Models, Neurological; D016571:Neural Networks, Computer