PDE-Net: Learning PDEs from Data

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PDE-Net: Learning PDEs from Data

26 October 2017

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Papers citing "PDE-Net: Learning PDEs from Data"

16 / 16 papers shown

Title
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis Yasamin Jalalian Juan Felipe Osorio Ramirez Alexander W. Hsu Bamdad Hosseini H. Owhadi 169 0 0 02 Mar 2025
Neural Port-Hamiltonian Differential Algebraic Equations for Compositional Learning of Electrical Networks Cyrus Neary Nathan Tsao Ufuk Topcu 123 2 0 15 Dec 2024
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 128 8 0 04 Jan 2024
PastNet: Introducing Physical Inductive Biases for Spatio-temporal Video Prediction Hao Wu Wei Xion Fan Xu Xian-Sheng Hua C. L. Philip Chen Xiansheng Hua AI4TS 187 31 0 19 May 2023
Integration of knowledge and data in machine learning Yuntian Chen Dongxiao Zhang PINN 66 32 0 15 Feb 2022
Differentiable Molecular Simulations for Control and Learning Wujie Wang Simon Axelrod Rafael Gómez-Bombarelli AI4CE 183 49 0 27 Feb 2020
Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 91 614 0 28 Nov 2017
Deep Learning for Physical Processes: Incorporating Prior Scientific Knowledge Emmanuel de Bézenac Arthur Pajot Patrick Gallinari PINN AI4CE 107 318 0 21 Nov 2017
Multi-level Residual Networks from Dynamical Systems View B. Chang Lili Meng E. Haber Frederick Tung David Begert 79 172 0 27 Oct 2017
Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equations Yiping Lu Aoxiao Zhong Quanzheng Li Bin Dong 210 505 0 27 Oct 2017
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 78 1,137 0 02 Aug 2017
Stable Architectures for Deep Neural Networks E. Haber Lars Ruthotto 152 733 0 09 May 2017
Identity Mappings in Deep Residual Networks Kaiming He Xinming Zhang Shaoqing Ren Jian Sun 354 10,196 0 16 Mar 2016
Deep Residual Learning for Image Recognition Kaiming He Xinming Zhang Shaoqing Ren Jian Sun MedIm 2.2K 194,426 0 10 Dec 2015
On learning optimized reaction diffusion processes for effective image restoration Yunjin Chen Wei Yu Thomas Pock DiffM 67 323 0 19 Mar 2015
Network In Network Min Lin Qiang Chen Shuicheng Yan 294 6,284 0 16 Dec 2013

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