AIMC Topic: Nonlinear Dynamics

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On latent dynamics learning in nonlinear reduced order modeling.

Neural networks : the official journal of the International Neural Network Society Jan 17, 2025
In this work, we present the novel mathematical framework of latent dynamics models (LDMs) for reduced order modeling of parameterized nonlinear time-dependent PDEs. Our framework casts this latter task as a nonlinear dimensionality reduction problem...
Algorithms Nonlinear Dynamics Neural Networks, Computer Humans
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Physics-informed Neural Implicit Flow neural network for parametric PDEs.

Neural networks : the official journal of the International Neural Network Society Jan 16, 2025
The Physics-informed Neural Network (PINN) has been a popular method for solving partial differential equations (PDEs) due to its flexibility. However, PINN still faces challenges in characterizing spatio-temporal correlations when solving parametric...
Physics Humans Neural Networks, Computer Algorithms Nonlinear Dynamics
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Nonlinear feature selection for support vector quantile regression.

Neural networks : the official journal of the International Neural Network Society Jan 13, 2025
This paper discusses the nuanced domain of nonlinear feature selection in heterogeneous systems. To address this challenge, we present a sparsity-driven methodology, namely nonlinear feature selection for support vector quantile regression (NFS-SVQR)...
Humans Neural Networks, Computer Regression Analysis Nonlinear Dynamics Algorithms Support Vector Machine
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A smooth gradient approximation neural network for general constrained nonsmooth nonconvex optimization problems.

Neural networks : the official journal of the International Neural Network Society Jan 6, 2025
Nonsmooth nonconvex optimization problems are pivotal in engineering practice due to the inherent nonsmooth and nonconvex characteristics of many real-world complex systems and models. The nonsmoothness and nonconvexity of the objective and constrain...
Nonlinear Dynamics Neural Networks, Computer Algorithms Computer Simulation
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EEG Signals Classification Related to Visual Objects Using Long Short-Term Memory Network and Nonlinear Interval Type-2 Fuzzy Regression.

Brain topography Jan 6, 2025
By gaining insights into how brain activity is encoded and decoded, we enhance our understanding of brain function. This study introduces a method for classifying EEG signals related to visual objects, employing a combination of an LSTM network and n...
Adult Male Female Young Adult Humans Neural Networks, Computer Signal Processing, Computer-Assisted Brain Nonlinear Dynamics Fuzzy Logic Electroencephalography
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Improving the performance of echo state networks through state feedback.

Neural networks : the official journal of the International Neural Network Society Dec 31, 2024
Reservoir computing, using nonlinear dynamical systems, offers a cost-effective alternative to neural networks for complex tasks involving processing of sequential data, time series modeling, and system identification. Echo state networks (ESNs), a t...
Feedback Neural Networks, Computer Nonlinear Dynamics Algorithms
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Fault diagnosis of nonlinear analog circuits using generalized frequency response function and LSSVM.

PloS one Dec 30, 2024
A fault diagnosis method of nonlinear analog circuits is proposed that combines the generalized frequency response function (GFRF) and the simplified least squares support vector machine (LSSVM). In this study, the harmonic signal is used as an input...
Support Vector Machine Least-Squares Analysis Nonlinear Dynamics Algorithms Computer Simulation Models, Theoretical
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Chaotic recurrent neural networks for brain modelling: A review.

Neural networks : the official journal of the International Neural Network Society Dec 27, 2024
Even in the absence of external stimuli, the brain is spontaneously active. Indeed, most cortical activity is internally generated by recurrence. Both theoretical and experimental studies suggest that chaotic dynamics characterize this spontaneous ac...
Algorithms Nonlinear Dynamics Recurrent Neural Networks Brain Humans Animals Computer Simulation Models, Neurological Neural Networks, Computer
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Neural network-based dynamic target enclosing control for uncertain nonlinear multi-agent systems over signed networks.

Neural networks : the official journal of the International Neural Network Society Dec 20, 2024
Neural networks have significant advantages in the estimation of uncertainty dynamics, which can afford highly accurate prediction outcomes and enhance control robustness. With this in mind, this study presents a neural network-based method to invest...
Neural Networks, Computer Algorithms Computer Simulation Uncertainty Nonlinear Dynamics
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Accelerated quadratic penalty dynamic approaches with applications to distributed optimization.

Neural networks : the official journal of the International Neural Network Society Dec 19, 2024
In this paper, we explore accelerated continuous-time dynamic approaches with a vanishing damping α/t, driven by a quadratic penalty function designed for linearly constrained convex optimization problems. We replace these linear constraints with pen...
Algorithms Computer Simulation Nonlinear Dynamics Neural Networks, Computer
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