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Chaotic simulated annealing by a neural network model with transient chaos
We propose a neural network model with transient chaos, or a transientLY chaotic neural network (TCNN) as an approximation method for combinatorial optimization problems, by introducing transiently chaotic dynamics into neural networks. Expand
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Chaotic neural networks
Abstract A model of a single neuron with chaotic dynamics is proposed by considering the following properties of biological neurons: (1) graded responses, (2) relative refractoriness and (3)Expand
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Stability of genetic regulatory networks with time delay
Presents a model for genetic regulatory networks with time delays, which is described by functional differential equations or delay differential equations (DDE), provide necessary and sufficientExpand
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Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
  • C. Li, L. Chen, K. Aihara
  • Mathematics, Computer Science
  • IEEE Transactions on Circuits and Systems I…
  • 13 November 2006
We present a nonlinear model for genetic networks with SUM regulatory functions, and showed that they can be transformed into Lur’e form. Expand
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Associative Dynamics in a Chaotic Neural Network
An associative network is constructed with chaotic neuron models interconnected through a conventional auto-associative matrix of synaptic weights. Expand
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Detecting early-warning signals for sudden deterioration of complex diseases by dynamical network biomarkers
Considerable evidence suggests that during the progression of complex diseases, the deteriorations are not necessarily smooth but are abrupt, and may cause a critical transition from one state toExpand
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Generalized Bienenstock-Cooper-Munro rule for spiking neurons that maximizes information transmission.
Maximization of information transmission by a spiking-neuron model predicts changes of synaptic connections that depend on timing of pre- and postsynaptic spikes and on the postsynaptic membraneExpand
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Stochastic Stability of Genetic Networks With Disturbance Attenuation
  • C. Li, L. Chen, K. Aihara
  • Mathematics, Computer Science
  • IEEE Transactions on Circuits and Systems II…
  • 15 October 2007
A stochastic nonlinear model for the stability of genetic networks with noise perturbations and time delays with disturbance attenuation. Expand
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Bayesian Inference Explains Perception of Unity and Ventriloquism Aftereffect: Identification of Common Sources of Audiovisual Stimuli
We study a computational model of audiovisual integration by setting a Bayesian observer that localizes visual and auditory stimuli without presuming the binding of auditory and visual information. Expand
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Classifying matrices with a spectral regularization
We propose a method for the classification of matrices. We use a linear classifier with a novel regularization scheme based on the spectral l1-norm of its coefficient matrix. The spectralExpand
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