On the Q-state neuron problem in attractor neural networks

Neural Networks - Tập 6 - Trang 573-581 - 1993
G.A. Kohring1
1Universität zu Köln, Germany

Tài liệu tham khảo

Abbott, 1990, Learning in neural network memories, Network, 1, 105, 10.1088/0954-898X/1/1/008 Abeles, 1990, Firing patterns of single units in the prefrontal cortex and neural network models, Network, 1, 13, 10.1088/0954-898X/1/1/002 Amit, 1987, Statistical mechanics of neural networks near saturation, Annals of Physics, 173, 30, 10.1016/0003-4916(87)90092-3 Amit, 1989, Associative memory neural networks with low temporal spiking rate, 86, 7871 1983 Cook, 1989, The mean-field theory of a Q-state neural network model, Journal of Physics A, 22, 2057, 10.1088/0305-4470/22/12/011 Forrest, 1988, Content-addressability and learning in neural networks, Journal of Physics A, 21, 245, 10.1088/0305-4470/21/1/029 Gardner, 1988, The space of interactions in neural network models, Journal of Physics A, 21, 257, 10.1088/0305-4470/21/1/030 Hebb, 1949 Hopfield, 1982, Neural networks and physical systems with emergent collective computational abilities, 79, 2554 Hopfield, 1990, The effectiveness of analogue “neural network” hardware, Network, 1, 27, 10.1088/0954-898X/1/1/003 Horner, 1989, Transients and basins of attraction in neural network models, Zeitschrift für Physik B., 76, 381, 10.1007/BF01321917 Horner, 1992, Dynamics of learning for the binary perceptron problem, Zeitschrift für Physik B, 86, 291, 10.1007/BF01313839 Hornik, 1990, Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks, Neural Networks, 3, 551, 10.1016/0893-6080(90)90005-6 Kanter, 1988, Potts-glass models of neural networks, Physical Review A, 37, 2739, 10.1103/PhysRevA.37.2739 Köhler, 1990, Learning algorithm for a neural network with binary synapses, Zeitschrift für Physik B, 78, 333, 10.1007/BF01307854 Kohring, 1990, A high precision study of the Hopfield model in the phase of broken replica symmetry, Journal of Statistical Physics, 59, 1077, 10.1007/BF01025863 Kohring, 1991, Finite-state neural networks. A step toward the simulation of very large systems, Journal of Statistical Physics, 62, 563, 10.1007/BF01017973 Kohring, 1992, On the problems of neural networks with multi-state neurons, Journal de Physique I, 2, 1549, 10.1051/jp1:1992226 Komlós, 1988, Convergence results in an associative memory model, Neural Networks, 1, 239, 10.1016/0893-6080(88)90029-9 Krätzschmar, 1990, Retrieval dynamics of neural networks constructed from local and nonlocal learning rules, Journal de Physique, 51, 223, 10.1051/jphys:01990005103022300 Krauth, 1989, Storage capacity of memory networks with binary couplings, Journal de Physique, 50, 3057, 10.1051/jphys:0198900500200305700 Little, 1974, The existence of persistent states in the brain, Mathematical Bioscience, 19, 101, 10.1016/0025-5564(74)90031-5 Marcus, 1990, Associative memory in an analog iterated-map neural network, Physical Review A, 41, 3355, 10.1103/PhysRevA.41.3355 Mertens, 1991, Learning grey-toned patterns in neural networks, Journal of Physics, A24, 4941 Minsky, 1969 Nadal, 1991, Storage capacity of a Potts-perceptron, Journal de Physique I, 1, 1109, 10.1051/jp1:1991104 Noest, 1988, Associative memory in sparse phasor neural networks, Europhysics Letters, 6, 469, 10.1209/0295-5075/6/5/016 Newman, 1988, Memory Capacity in neural network models: Rigorous lower bounds, Neural Networks, 1, 223, 10.1016/0893-6080(88)90028-7 Rieger, 1990, Storing an extensive number of grey-toned patterns in a neural network using multi-state neurons, Journal of Physics A, 23, L1273, 10.1088/0305-4470/23/23/015 Shiino, 1990, Replica-symmetric theory of the nonlinear analogue neural network, Journal of Physics A, 23, L1009, 10.1088/0305-4470/23/18/012 van Hemmen, 1987, Nonlinear neural networks near saturation, Physical Review A, 36, 1959, 10.1103/PhysRevA.36.1959 Vogt, 1992, Invariant recognition in Potts glass neural networks, Journal of Physics A, 25, 2209, 10.1088/0305-4470/25/8/032 Weiss, 1990, Artificial neural learning