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Phys. Rev. A 39, 2689–2692 (1989)

Associative memory with high information content

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J. Buhmann, R. Divko, and K. Schulten
Physik-Department, Technische Universität München, James-Franck-Strasse, 8046 Garching bei München, Federal Republic of Germany

Received 19 October 1988; published in the issue dated March 1989

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 lna)-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.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.39.2689
DOI:
10.1103/PhysRevA.39.2689
PACS:
87.10.+e, 64.60.Cn, 75.10.Hk