Machine Learning and Computational Mathematics

23 September 2020

Papers citing "Machine Learning and Computational Mathematics"

11 / 11 papers shown

Title
A Triumvirate of AI Driven Theoretical Discovery Yang-Hui He AI4CE 42 4 0 30 May 2024
Leveraging Interpolation Models and Error Bounds for Verifiable Scientific Machine Learning Tyler Chang Andrew Gillette R. Maulik 36 2 0 04 Apr 2024
Failure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation Zhi-Hao Gao Tao Tang Liang Yan Tao Zhou 31 18 0 03 Feb 2023
Port-metriplectic neural networks: thermodynamics-informed machine learning of complex physical systems Quercus Hernandez Alberto Badías Francisco Chinesta Elías Cueto PINN AI4CE 27 13 0 03 Nov 2022
Convergence analysis of a quasi-Monte Carlo-based deep learning algorithm for solving partial differential equations Fengjiang Fu Xiaoqun Wang 21 2 0 28 Oct 2022
Failure-informed adaptive sampling for PINNs Zhiwei Gao Liang Yan Tao Zhou 18 77 0 01 Oct 2022
Thermodynamics of learning physical phenomena Elías Cueto Francisco Chinesta AI4CE 23 22 0 26 Jul 2022
$Monte Carlo PINNs: deep learning approach for forward and inverse problems involving high dimensional fractional partial differential equations$ Monte Carlo PINNs: deep learning approach for forward and inverse problems involving high dimensional fractional partial differential equations Ling Guo Hao Wu Xiao-Jun Yu Tao Zhou PINN AI4CE 18 58 0 16 Mar 2022
Solving time dependent Fokker-Planck equations via temporal normalizing flow Xiaodong Feng Li Zeng Tao Zhou AI4CE 31 25 0 28 Dec 2021
Solving the Dirichlet problem for the Monge-Ampère equation using neural networks K. Nystrom Matias Vestberg 21 2 0 07 Oct 2021
Data-informed Deep Optimization Lulu Zhang Z. Xu Yaoyu Zhang AI4CE 19 3 0 17 Jul 2021