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09/14/2023
Slow Invariant Manifolds of Singularly Perturbed Systems via Physics-Informed Machine Learning
We present a physics-informed machine-learning (PIML) approach for the a...
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04/24/2023
Data-driven modelling of brain activity using neural networks, Diffusion Maps, and the Koopman operator
We propose a machine-learning approach to model long-term out-of-sample ...
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03/23/2023
Numerical Bifurcation Analysis of Turing and Symmetry Broken Patterns of a Vegetation PDE Model
We study the mechanisms of pattern formation for vegetation dynamics in ...
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03/15/2023
Discrete-Time Nonlinear Feedback Linearization via Physics-Informed Machine Learning
We present a physics-informed machine learning (PIML) scheme for the fee...
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07/12/2022
Data-driven Control of Agent-based Models: an Equation/Variable-free Machine Learning Approach
We present an Equation/Variable free machine learning (EVFML) framework ...
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03/10/2022
Parsimonious Physics-Informed Random Projection Neural Networks for Initial-Value Problems of ODEs and index-1 DAEs
We address a physics-informed neural network based on the concept of ran...
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02/02/2022
Designing Social Distancing Policies for the COVID-19 Pandemic: A probabilistic model predictive control approach
The effective control of the COVID-19 pandemic is one the most challengi...
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01/31/2022
Constructing coarse-scale bifurcation diagrams from spatio-temporal observations of microscopic simulations: A parsimonious machine learning approach
We address a three-tier data-driven approach to solve the inverse proble...
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10/07/2021
Time Series Forecasting Using Manifold Learning
We address a three-tier numerical framework based on manifold learning f...
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08/03/2021
Numerical Solution of Stiff Ordinary Differential Equations with Random Projection Neural Networks
We propose a numerical scheme based on Random Projection Neural Networks...
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07/20/2021
A biophysical network model reveals the link between deficient inhibitory cognitive control and major neurotransmitter and neural connectivity hypotheses in schizophrenia
We address a biophysical network dynamical model to study how the modula...
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04/13/2021
Numerical Solution and Bifurcation Analysis of Nonlinear Partial Differential Equations with Extreme Learning Machines
We address a new numerical scheme based on a class of machine learning m...
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12/10/2020
Extreme learning machine collocation for the numerical solution of elliptic PDEs with sharp gradients
We introduce a new numerical method based on machine learning to approxi...
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05/25/2020
Construction of embedded fMRI resting state functional connectivity networks using manifold learning
We construct embedded functional connectivity networks (FCN) from benchm...
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05/22/2020
EEG source localization analysis in epileptic children during a visual working-memory task
We localize the sources of brain activity of children with epilepsy base...
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10/27/2019
Analytical and Numerical Bifurcation Analysis of a Forest-Grassland Ecosystem Model with Human Interaction
We perform both analytical and numerical bifurcation analysis of a fores...
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09/07/2019