Presentation	1999/5/20 Dynamics of Quantized Hopfield Networks with Fluctuation Satoshi Matsuda,
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Abstract(in English)	Quantized Hopfield networks with fluctuation can obtain good solutions to integer optimization problems more quickly than conventional binary or continuous networks. However, their basic dynamics is not clear, for example, we are unaware of the ralationship between the fluctuation width and the solutions obtained by the networks. In this paper we first clarify the relationship between the dynamics of the hysteresis binary networks and the quantized networks, and then, by taking Hitchcock problems as examples of integer optimization, we theoretically show the stability and instability conditions of the feasible and infeasible solutions in terms of the values of fluctuation width. Simulation results illus- trate this theoretical concludings.
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Keyword(in English)	Hopfield network / integer programming / quantized neuron / fluctuation / hysteresis / stability
Paper #	NC99-4
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Conference Information
Committee	NC
Conference Date	1999/5/20(1days)
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Paper Information
Registration To	Neurocomputing (NC)
Language	JPN
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	Dynamics of Quantized Hopfield Networks with Fluctuation
Sub Title (in English)
Keyword(1)	Hopfield network
Keyword(2)	integer programming
Keyword(3)	quantized neuron
Keyword(4)	fluctuation
Keyword(5)	hysteresis
Keyword(6)	stability
1st Author's Name	Satoshi Matsuda
1st Author's Affiliation	Computer and Communication Research Center, Tokyo Electric Power Company()
Date	1999/5/20
Paper #	NC99-4
Volume (vol)	vol.99
Number (no)	58
Page	pp.pp.-
#Pages	8
Date of Issue