Abstract
Abstract : The first quarter of the OCCAM contract effort was especially fruitful. Several pure results were obtained in optical conceptual computing and associative memories. These results include the formal definitions of and theorems on bidirectional associative memories and fuzzy associative memories, the first-principles proof that differential Hebbian learning subsumes standard Hebbian learning, the construction of a new optically computable fuzzy integral, a quantitative theory of fuzzy cognitive map combination and inferencing, the design and preliminary simulation of a novel all-optical dynamical associative memory, the first optical design for implementing the fundamental fuzzy set/logic operations of pairwise minimum and maximum, the design and preliminary simulation of a translation, rotation, and scale invariant optical preprocessor suitable for pattern recognition by associative memory, and the design and construction of an associative memory demonstration computer board. Several of these results are currently in preparation as technical papers. Some have been presented at professional speaking engagements.
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