Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1995 · 97 citations · 9 references
Natural SciencesComputer ScienceMathematicsDynamical SystemsMachine LearningOptimizationChaos TheoryDynamic OptimizationNetwork DynamicsNeural ModelingNeural NetworksNonlinear DynamicsChaos ControlChaotic DynamicsChaotic Neural DynamicsNeural Dynamical SystemsNeural DynamicsNeural Network ModelingNoisy OptimizationTime-varying Correlation
We studied effects of chaos added to the dynamics of a neural network model. By numerical simulations, we found the neural network with forcing by chaotic noise operated very efficiently to solve an optimization problem. We also showed that short time correlation of chaos was relevant to the dynamics of the network and it could work effectively for global minima search.
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Reaction-rate theory: fifty years after Kramers
Peter Hänggi, Peter Talkner, Michal Borkovec · Reviews of Modern Physics · 1990 · 6.2K citations · Full text
Natural Sciences, Chemistry, Physics +15
Marcelo O. Magnasco · Physical Review Letters · 1993 · 1.2K citations
Kazuyuki Aihara, T. Takabe, M. Toyoda · Physics Letters A · 1990 · 1.2K citations