Abstract

Summary form only given, as follows. A formulation is described for 2-D neural nets which is suitable for the processing of 2-D array images. The formulation essentially processes a 2-D input array to be pre- and postmultiplied by a matrix of weights. Then the resulting 2-D array of data is processed via the usual sigmoidal thresholding and feedback which are characteristic of neural nets. A description is also given of two electrooptical implementations of the formulation: (i) it includes adaptations of the available incoherent optical techniques for the real-time multiplication of three matrices, and (ii) it includes adaptations of vector-matrix multiplication and the sum of the outer product of vectors. The second requires reduced optical hardware for its implementation.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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