AIMC Topic: Nonlinear Dynamics

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Comparative performances of machine learning methods for classifying Crohn Disease patients using genome-wide genotyping data.

Scientific reports Jul 17, 2019
Crohn Disease (CD) is a complex genetic disorder for which more than 140 genes have been identified using genome wide association studies (GWAS). However, the genetic architecture of the trait remains largely unknown. The recent development of machin...
Humans Neural Networks, Computer Deep Learning Genome-Wide Association Study Female Male Nonlinear Dynamics Genotyping Techniques Logistic Models Crohn Disease Models, Genetic Alleles Decision Trees Area Under Curve Polymorphism, Single Nucleotide INDEL Mutation Genotype ROC Curve Genetic Predisposition to Disease
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Synchronization of chaotic neural networks with time delay via distributed delayed impulsive control.

Neural networks : the official journal of the International Neural Network Society Jul 16, 2019
This letter investigates the impulsive synchronization of chaotic neural networks with time delays. A novel impulsive delayed inequality is proposed, where the control effect of distributed delayed impulses is fully considered. Based on the inequalit...
Time Factors Nonlinear Dynamics Neural Networks, Computer
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Depth with nonlinearity creates no bad local minima in ResNets.

Neural networks : the official journal of the International Neural Network Society Jul 1, 2019
In this paper, we prove that depth with nonlinearity creates no bad local minima in a type of arbitrarily deep ResNets with arbitrary nonlinear activation functions, in the sense that the values of all local minima are no worse than the global minimu...
Machine Learning Deep Learning Nonlinear Dynamics Neural Networks, Computer
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Adaptive Reinforcement Learning Neural Network Control for Uncertain Nonlinear System With Input Saturation.

IEEE transactions on cybernetics Jun 26, 2019
In this paper, an adaptive neural network (NN) control problem is investigated for discrete-time nonlinear systems with input saturation. Radial-basis-function (RBF) NNs, including critic NNs and action NNs, are employed to approximate the utility fu...
Algorithms Signal Processing, Computer-Assisted Nonlinear Dynamics Neural Networks, Computer Machine Learning
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Observer-based sliding mode control for synchronization of delayed chaotic neural networks with unknown disturbance.

Neural networks : the official journal of the International Neural Network Society May 31, 2019
This paper considers the synchronization of delayed chaotic neural networks with unknown disturbance via observer-based sliding mode control. We design a sliding surface involving integral structure and a discontinuous control law such that the traje...
Neural Networks, Computer Time Factors Nonlinear Dynamics
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Non-Linear Dynamical Analysis of Resting Tremor for Demand-Driven Deep Brain Stimulation.

Sensors (Basel, Switzerland) May 31, 2019
Parkinson's Disease (PD) is currently the second most common neurodegenerative disease. One of the most characteristic symptoms of PD is resting tremor. Local Field Potentials (LFPs) have been widely studied to investigate deviations from the typical...
Humans Female Male Tremor Models, Theoretical Deep Brain Stimulation Nonlinear Dynamics Support Vector Machine Parkinson Disease
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Robust manifold broad learning system for large-scale noisy chaotic time series prediction: A perturbation perspective.

Neural networks : the official journal of the International Neural Network Society May 27, 2019
Noises and outliers commonly exist in dynamical systems because of sensor disturbations or extreme dynamics. Thus, the robustness and generalization capacity are of vital importance for system modeling. In this paper, the robust manifold broad learni...
Nonlinear Dynamics Time Machine Learning
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Closed-loop control of nonlinear neural networks: The estimate of control time and energy cost.

Neural networks : the official journal of the International Neural Network Society May 27, 2019
This paper concentrates on an estimate of the upper bounds for control time and energy cost of a class of nonlinear neural networks (NNs). By constructing the appropriate closed-loop controller u and utilizing the inequality technique, sufficient con...
Neural Networks, Computer Time Nonlinear Dynamics
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Approximate neural optimal control with reinforcement learning for a torsional pendulum device.

Neural networks : the official journal of the International Neural Network Society May 23, 2019
A torsional pendulum device containing hyperbolic tangent input nonlinearities can be formulated as a nonaffine system. Unlike basic affine systems, the optimal feedback control of complex nonaffine plants is difficult but quite important. In this pa...
Feedback Nonlinear Dynamics Machine Learning
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Gene shaving using a sensitivity analysis of kernel based machine learning approach, with applications to cancer data.

PloS one May 23, 2019
BACKGROUND: Gene shaving (GS) is an essential and challenging tools for biomedical researchers due to the large number of genes in human genome and the complex nature of biological networks. Most GS methods are not applicable to non-linear and multi-...
Nonlinear Dynamics False Positive Reactions Area Under Curve Machine Learning Algorithms Oligonucleotide Array Sequence Analysis Colonic Neoplasms Humans Gene Expression Profiling Software Computer Simulation Genetic Techniques Artificial Intelligence Computational Biology
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