Universality in the space of interactions for network models
作者： L F Abbott , T B Kepler
DOI: 10.1088/0305-4470/22/12/008
关键词:
摘要: By modifying the measure used to sum over coupling matrices, authors generalise Gardner's (1988) calculation of fractional interaction-space volume and storage capacity neural network models. They also compute local field distribution for network. The generalised allows one consider networks with a wide variety properties away from saturation, but they find that original results saturated are universal all well behaved measures. Other universality classes including those containing Hebb matrices pseudo-inverse obtained by considering singular
core.ac.uk
harvard.edu
columbia.edu
sci-hub.se 参考文章(12)
L. Personnaz, I. Guyon, G. Dreyfus, Information storage and retrieval in spin-glass like neural networks Journal de Physique Lettres. ,vol. 46, pp. 359- 365 ,(1985) , 10.1051/JPHYSLET:01985004608035900
Sigurd Diederich, Manfred Opper, Learning of correlated patterns in spin-glass networks by local learning rules. Physical Review Letters. ,vol. 58, pp. 949- 952 ,(1987) , 10.1103/PHYSREVLETT.58.949
E Gardner, B Derrida, Optimal storage properties of neural network models Journal of Physics A. ,vol. 21, pp. 271- 284 ,(1988) , 10.1088/0305-4470/21/1/031
Leon N Cooper, Fishel Liberman, Erkki Oja, A theory for the acquisition and loss of neuron specificity in visual cortex Biological Cybernetics. ,vol. 33, pp. 9- 28 ,(1979) , 10.1007/BF00337414
I. Kanter, H. Sompolinsky, Associative recall of memory without errors Physical Review A. ,vol. 35, pp. 380- 392 ,(1987) , 10.1103/PHYSREVA.35.380
E Gardner, The space of interactions in neural network models Journal of Physics A. ,vol. 21, pp. 257- 270 ,(1988) , 10.1088/0305-4470/21/1/030
Daniel J Amit, Hanoch Gutfreund, H Sompolinsky, Statistical mechanics of neural networks near saturation Annals of Physics. ,vol. 173, pp. 30- 67 ,(1987) , 10.1016/0003-4916(87)90092-3
W Krauth, M Mezard, Learning algorithms with optimal stability in neural networks Journal of Physics A. ,vol. 20, ,(1987) , 10.1088/0305-4470/20/11/013
E Gardner, Maximum Storage Capacity in Neural Networks EPL. ,vol. 4, pp. 481- 485 ,(1987) , 10.1209/0295-5075/4/4/016
Thomas B. Kepler, L.F. Abbott, Domains of attraction in neural networks Journal de Physique. ,vol. 49, pp. 1657- 1662 ,(1988) , 10.1051/JPHYS:0198800490100165700