HYCO is a hybrid modeling framework that co-trains physics-based and data-driven PDE models through mutual regularization, interpreted as a Nash equilibrium problem.
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A methodology for populational inverse problems that simultaneously deconvolves unknown observational noise and recovers parameter distributions via structured gradient descent and adaptive empirical measure-based active learning for surrogates.
A survey organizing AI methods for inverse PDE problems into inverse problems, inverse design, and control categories, covering applications and future challenges like physics-informed models and uncertainty quantification.
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HYCO: A Formalism for Hybrid-Cooperative PDE Modelling
HYCO is a hybrid modeling framework that co-trains physics-based and data-driven PDE models through mutual regularization, interpreted as a Nash equilibrium problem.
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Efficient Deconvolution in Populational Inverse Problems
A methodology for populational inverse problems that simultaneously deconvolves unknown observational noise and recovers parameter distributions via structured gradient descent and adaptive empirical measure-based active learning for surrogates.
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Harnessing AI for Inverse Partial Differential Equation Problems: Past, Present, and Prospects
A survey organizing AI methods for inverse PDE problems into inverse problems, inverse design, and control categories, covering applications and future challenges like physics-informed models and uncertainty quantification.