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* * Augmented field and augmented matrix Augmented field M connects to ,N connects to then the augmented field intraconnects to itself by the square block matrix B * * Augmented field and augmented matrix In the BAM case,when then hence a BAM symmetries an arbitrary rectangular(长方形) matrix M. In the general case, P is n-by-n matrix. Q is p-by-p matrix. If and only if, the neurons in are symmetrically intraconnected T C C = * * 3.3 ADDITIVE ACTIVATION MODELS Define additive activation model n+p coupled first-order differential equations defines the additive activation model (3-15) (3-16) * * additive activation model define The additive autoassociative model correspond to a system of n coupled first-order differential equations (3-17) * * additive activation model define A special case of the additive autoassociative model (3-18) (3-19) (3-20) where measures the cytoplasmic resistance between neurons i and j. is * * Hopfield circuit and continuous additive bidirectionalassociative memories Hopfield circuit arises from if each neuron has a strictly increasing signal function and if the synaptic connection matrix is symmetric (3-21) continuous additive bidirectional associative memories (3-22) (3-23) * * Discrete additive activation models correspond to neurons with threshold signal function 3.4 ADDITIVE BIVALENT FEEDBACK The neurons can assume only two value: ON and OFF. ON represents the signal value +1. OFF represents 0 or –1. Bivalent models can represent asynchronous and stochastic (随机的)behavior. * * Bivalent Additive BAM BAM-bidirectional associative memory Define a discrete additive BAM with threshold signal functions, arbitrary thresholds and inputs,an arbitrary but constant synaptic connection matrix M,and discrete time steps k. (3-24) (3-25) * * Bivalent Additive BAM Threshold binary signa
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