TCB Publications - Abstract

Joachim Buhmann, Robert Divko, and Klaus Schulten. Associative memory with high information content. Physical Review A, 39:2689-2692, 1989.

BUHM89 An extension of Hopfield's model with adaptive threshold and inhibitory interactions yields a network capable of nearly optimal storage of patterns of low activity. A replica symmetric solution of the mean-field equations is presented for the noise-free case. The following properties are demonstrated: For a low level of activity $a$ the storage capacity increases as $-(a\,{\rm ln}a)^{-1}$; up to 0.38 bits per synapse can be stored; spurious states can be suppressed; the network is not opinionated, i.e., it can categorize inputs as not similar enough to patterns stored.

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