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Probabilistic partition of unity networks for high-dimensional regression problems


Oct 06, 2022
Tiffany Fan, Nathaniel Trask, Marta D'Elia, Eric Darve


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Machine Learning in Heterogeneous Porous Materials


Feb 04, 2022
Marta D'Elia, Hang Deng, Cedric Fraces, Krishna Garikipati, Lori Graham-Brady, Amanda Howard, George Karniadakis, Vahid Keshavarzzadeh, Robert M. Kirby, Nathan Kutz, Chunhui Li, Xing Liu, Hannah Lu, Pania Newell, Daniel O'Malley, Masa Prodanovic, Gowri Srinivasan, Alexandre Tartakovsky, Daniel M. Tartakovsky, Hamdi Tchelepi, Bozo Vazic, Hari Viswanathan, Hongkyu Yoon, Piotr Zarzycki

* The workshop link is: https://amerimech.mech.utah.edu 

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Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network


Jan 06, 2022
Huaiqian You, Yue Yu, Marta D'Elia, Tian Gao, Stewart Silling


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A data-driven peridynamic continuum model for upscaling molecular dynamics


Aug 04, 2021
Huaiqian You, Yue Yu, Stewart Silling, Marta D'Elia


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Data-driven learning of nonlocal models: from high-fidelity simulations to constitutive laws


Dec 08, 2020
Huaiqian You, Yue Yu, Stewart Silling, Marta D'Elia


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Data-driven learning of robust nonlocal physics from high-fidelity synthetic data


May 17, 2020
Huaiqian You, Yue Yu, Nathaniel Trask, Mamikon Gulian, Marta D'Elia

* 32 pages, 10 figures, 3 tables 

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nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications


Apr 08, 2020
Guofei Pang, Marta D'Elia, Michael Parks, George E. Karniadakis

* 31 pages, 20 figures 

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