Presentation 1995/7/27
Distribution of asymtotically stable points satisfying constraints in solving traveling salesman problems by Hopfield networks
Satoshi Matsuda,
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Abstract(in English) In the previous paper, taking traveling salesman problems etc. as examples, we proved asymptotically stable and unstable conditions of the corners corresponding to solutions and nonsolutions in solving combinatorial optimization problems by Hopfield networks, and theoretically showed the quantative relation between the problem and dynamics of the network. In this paper theoretical considerations on the asymptotically stable points, not only corners but inner points of the hypercube, corresponding to the solutions and the their qualities as solutions are made. The distributions of the asymptotically stable points corresponding to the solutions are shown to be very distinctive, and their quality as solutions to have a very close relation to their locations in hypercube.
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Keyword(in English) Hopfield neural network / traveling salesman problem / distribution of solutions
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Conference Date 1995/7/27(1days)
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Language JPN
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Title (in English) Distribution of asymtotically stable points satisfying constraints in solving traveling salesman problems by Hopfield networks
Sub Title (in English)
Keyword(1) Hopfield neural network
Keyword(2) traveling salesman problem
Keyword(3) distribution of solutions
1st Author's Name Satoshi Matsuda
1st Author's Affiliation Computer and Communication Research Center, Tokyo Electric Power Company()
Date 1995/7/27
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Volume (vol) vol.95
Number (no) 189
Page pp.pp.-
#Pages 8
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