Deterministic Boltzmann Learning in Networks with Asymmetric Connectivity

作者: Conrad C. Galland , Geoffrey E. Hinton

DOI: 10.1016/B978-1-4832-1448-1.50006-8

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摘要: Abstract The simplicity and locality of the “contrastive Hebb synapse” (CHS) used in Boltzmann machine learning makes it an attractive model for real biological synapses. slow exhibited by stochastic can be greatly improved using a mean field approximation has been shown (Hinton, 1989) that CHS also performs steepest descent these deterministic networks. A major weakness procedure, from perspective, is derivation assumes detailed symmetry connectivity. Using networks with purely asymmetric connectivity, we show still works practice provided connectivity grossly symmetrical so if unit i sends connection to j, there are numerous indirect feedback paths j i. So long as network settles stable state, approximates proportional error expected decrease size increases.

参考文章(7)
T. J. Sejnowski, G. E. Hinton, Learning and relearning in Boltzmann machines Parallel distributed processing: explorations in the microstructure of cognition, vol. 1. pp. 282- 317 ,(1986)
Roy J. Glauber, Time‐Dependent Statistics of the Ising Model Journal of Mathematical Physics. ,vol. 4, pp. 294- 307 ,(1963) , 10.1063/1.1703954
Fernando J. Pineda, Generalization of back-propagation to recurrent neural networks. Physical Review Letters. ,vol. 59, pp. 2229- 2232 ,(1987) , 10.1103/PHYSREVLETT.59.2229
Geoffrey E. Hinton, Deterministic Boltzmann learning performs steepest descent in weight-space Neural Computation. ,vol. 1, pp. 143- 150 ,(1989) , 10.1162/NECO.1989.1.1.143
J. J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons. Proceedings of the National Academy of Sciences of the United States of America. ,vol. 81, pp. 3088- 3092 ,(1984) , 10.1073/PNAS.81.10.3088
J. J. Hopfield, Neural networks and physical systems with emergent collective computational abilities Proceedings of the National Academy of Sciences of the United States of America. ,vol. 79, pp. 2554- 2558 ,(1982) , 10.1073/PNAS.79.8.2554
Carsten Peterson, James R. Anderson, A mean field theory learning algorithm for neural networks Complex Systems. ,vol. 1, pp. 995- 1019 ,(1987)