An Optimal Multilayer Neural Interpolating (OMNI) Net in a Generalized Fock Space Setting (Invited Paper)

Rui J. P. deFigueiredo · 1992

As a generalization and extension of the 01 (Optimal Interpolative) artificial neural network, an OMNI (Optimal Multilayer Neural Interpolative) net is proposed. An OMNI net is an interconnected system of 01 nets either in feedforward, or feedback, or recurrent configurations. The synaptic weights for the OMNI net can be calculated by closed form expressions. For the feedforward configuration a forward propagation algorithm is described. OMNI nets can be used for classification and interpretation of complex patterns. As an example, an OMNI net model for the six-layer cortical column of the human brain is described.

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