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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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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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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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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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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