Presentation 1996/3/18
Neuronal Model Dependences for the Randomly and Symmetrically Connected Networks
Akira Date,
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Abstract(in English) A large number of equilibrium states or fixed points is in a randomly and symmetrically connected neural network. Recently it has been shown that the maximum number which can be realized in the network depend on the binary model of single neurons (Date et al 1995). Here we treat such network properties of the model dependence including the maximum number of equilibrium states and the activity level (i.e. the rate of excited neurons) of these states. It is analytically shown that the (-1, 1) network, the network consisting of the elements each of which takes -1 or 1 as a output, is the best in a sense of maximizing the number of equilibrium states. Furthermore, the invariant activity in each model is also analytically derived, where the activity does not depend on the statistical parameters designated by the probability distribution of the connection weights and the threshold.
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Keyword(in English) random symmetric networks / SK-model / equilibrium states / statistical neurodynamics
Paper # NC-95-123
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Committee NC
Conference Date 1996/3/18(1days)
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Registration To Neurocomputing (NC)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Neuronal Model Dependences for the Randomly and Symmetrically Connected Networks
Sub Title (in English)
Keyword(1) random symmetric networks
Keyword(2) SK-model
Keyword(3) equilibrium states
Keyword(4) statistical neurodynamics
1st Author's Name Akira Date
1st Author's Affiliation Department of Computer Science, Graduate School of Technology Tokyo University of Agriculture & Technology()
Date 1996/3/18
Paper # NC-95-123
Volume (vol) vol.95
Number (no) 598
Page pp.pp.-
#Pages 8
Date of Issue