论文信息 - Collective Properties of Neural Networks

Collective Properties of Neural Networks

A neural network is basically made of interconnected threshold automata i. (i=1,…., N) collecting the signals Sj produced by a set of upstream units j and delivering an output signal Si to a set of downstream units k. The evolution of the dynamic variables is driven by the following equations: $$ {S_i}(t) = F({V_i}(\{ {S_i}(t - {\Delta_{{ij}}})\} - {e_i}) $$ (1) where F is a sigmoid function, Vi the membrane potential of i, Δij the transmission delay between the units j and i and ei the threshold of i.

P. Peretto | J. Niez

[1] E M Harth,et al. Dynamics of neural structures. , 1970, Journal of theoretical biology.

[2] W. A. Little,et al. Analytic study of the memory storage capacity of a neural network , 1978 .

[3] J J Hopfield,et al. Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[4] J. Changeux. L'homme neuronal , 1983 .

[5] J. Provost,et al. Ergodicity of the Coupling Constants and the Symmetric n -Replicas Trick for a Class of Mean-Field Spin-Glass Models , 1983 .

[6] B. Huberman,et al. Digital dynamics and the simulation of magnetic systems , 1983 .

[7] D. O. Hebb,et al. The organization of behavior , 1988 .

[8] S.-I. Amari,et al. Neural theory of association and concept-formation , 1977, Biological Cybernetics.