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On the number of equilibrium states in weakly coupled random networks

✍ Scribed by Akira Date; Chii-Ruey Hwang; Shuenn-Jyi Sheu

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 93 KB
Volume: 49
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(00)00060-2

No coin nor oath required. For personal study only.

✦ Synopsis

A fully interconnected network consisting of n elements with outputs x = {xi; xi = +1; -1; 16i6n}; connection weights wij = w s ij + cw a ij composed of symmetric and antisymmetric parts, and dynamics described by x → {sign( wijxj)} is considered. Here the {w s ij ; w a ij ; w kk ; i ¡ j} are i.i.d. N(0; 1) and

The asymptotic behavior of the expected number of the equilibrium states of the network is studied as n → ∞.

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