Abstract
A formal model of fine-grained parallel computations is presented, in which the connectionist method of Artificial Neural Networks is combined with the cellular-like structure of interneuron communication. The model is based on the concepts and formalisms of Parallel Substitution Algorithm, which is considered be the most theoretically advanced generalization of Cellular Automaton. Some fields of application are discussed and computer simulation results are given.
The research is supported by Russian Foundation for Basic Research grant (93-01-01000)
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von Neumann J.: Theory of Self-Reproducing Automata, ed. A.W. Burks. University of Illinois Press, Urbana and London, 1966, 382p.
Mc-Culloch W.S., W.Pitts W.: A Logical Calculus of the Ideas Immanent in Nervous Activity. Bull.of Math. Biophysics. 5, p. 115.
Achasova S., Bandman O., Markova V., Piskunov S.: Parallel Substitution Algorithm. Theory and Application. World Scientific, Singapore (1995) 240 p.
Hopfield J.J., Tank D.W.: Computing with Neural Circuits: a Model. Science. 233 (1986) p. 625.
Korst J.H.M., Aarts E.H.L.: Combinatorial Optimization on Boltzmann Machine. Journ. of Parallel and Distributed Computing. 6 (1989) p. 331.
Chua L.O, Yang I.: Cellular Neural Networks: Theory amd Application. IEEE Transactions, CS-35, N 10 (1988) p. 1257.
Zhang J., Zhang I., Yan D., He A., Liu L.: Local Interconnection Neural Network and its Optical Implementation. Optics Communication. 102 (1993) p. 13.
Liu D., Michel A.: Sparsely Interconnected Artificial Neuron Networks for Associative Memories. Lecture Notes in Comp. Sci. 606 p. 155.
Rosenblatt F.: Principles of Neurodumamics. Washington, Spartan. (1959).
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© 1995 Springer-Verlag Berlin Heidelberg
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Bandman, O.L. (1995). Cellular-Neural computations. Formal model and possible applications. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 1995. Lecture Notes in Computer Science, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60222-4_94
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DOI: https://doi.org/10.1007/3-540-60222-4_94
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