STATISTICAL MECHANICS OF NEURAL NETWORKS

A neural network is a large, highly interconnected assembly of simple elements. The elements, called neurons, are usually two‐state devices that switch from one state to the other when their input exceeds a specific threshold value. In this respect the elements resemble biological neurons, which fire—that is, send a voltage pulse down their axons—when the sum of the inputs from their synapses exceeds a “firing” threshold. Neural networks therefore serve as models for studies of cooperative behavior and computational properties of the sort exhibited by the nervous system.

[1]  D. Amit,et al.  Statistical mechanics of neural networks near saturation , 1987 .

[2]  W. Pitts,et al.  A Logical Calculus of the Ideas Immanent in Nervous Activity (1943) , 2021, Ideas That Created the Future.

[3]  E. Gardner The space of interactions in neural network models , 1988 .

[4]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[5]  M. Mézard,et al.  Spin Glass Theory and Beyond , 1987 .

[6]  Professor Moshe Abeles,et al.  Local Cortical Circuits , 1982, Studies of Brain Function.

[7]  Teuvo Kohonen,et al.  An introduction to neural computing , 1988, Neural Networks.

[8]  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.

[9]  Shun-ichi Amari,et al.  Statistical neurodynamics of associative memory , 1988, Neural Networks.

[10]  Y S Abu-Mostafa,et al.  Neural networks for computing , 1987 .

[11]  Gonzalo Viana Di Prisco,et al.  Hebb synaptic plasticity , 1984, Progress in Neurobiology.

[12]  A. A. Mullin,et al.  Principles of neurodynamics , 1962 .

[13]  W. Little The existence of persistent states in the brain , 1974 .

[14]  J. Hopfield,et al.  Computing with neural circuits: a model. , 1986, Science.

[15]  Stephen Grossberg,et al.  Nonlinear neural networks: Principles, mechanisms, and architectures , 1988, Neural Networks.

[16]  K. Binder,et al.  Spin glasses: Experimental facts, theoretical concepts, and open questions , 1986 .

[17]  Sompolinsky,et al.  Dynamics of spin systems with randomly asymmetric bonds: Ising spins and Glauber dynamics. , 1988, Physical review. A, General physics.

[18]  S. Kelso,et al.  Hebbian synapses in hippocampus. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[19]  H. C. LONGUET-HIGGINS,et al.  Non-Holographic Associative Memory , 1969, Nature.

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

[21]  Sompolinsky,et al.  Spin-glass models of neural networks. , 1985, Physical review. A, General physics.