DGM: A deep learning algorithm for solving partial differential equations

24 August 2017

Papers citing "DGM: A deep learning algorithm for solving partial differential equations"

50 / 315 papers shown

Title
Physics-informed neural networks for non-Newtonian fluid thermo-mechanical problems: an application to rubber calendering process Thi Nguyen Khoa Nguyen T. Dairay Raphael Meunier Mathilde Mougeot PINN AI4CE 81 30 0 31 Jan 2022
Numerical Approximation of Partial Differential Equations by a Variable Projection Method with Artificial Neural Networks S. Dong Jielin Yang 50 17 0 24 Jan 2022
Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next S. Cuomo Vincenzo Schiano Di Cola F. Giampaolo G. Rozza Maizar Raissi F. Piccialli PINN 31 1,190 0 14 Jan 2022
SympOCnet: Solving optimal control problems with applications to high-dimensional multi-agent path planning problems Tingwei Meng Zhen Zhang Jérome Darbon George Karniadakis 37 15 0 14 Jan 2022
DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations Keju Tang Xiaoliang Wan Chao Yang 32 107 0 28 Dec 2021
Solving time dependent Fokker-Planck equations via temporal normalizing flow Xiaodong Feng Li Zeng Tao Zhou AI4CE 36 25 0 28 Dec 2021
Subspace Decomposition based DNN algorithm for elliptic type multi-scale PDEs Xi-An Li Z. Xu Lei Zhang 27 27 0 10 Dec 2021
A Continuous-time Stochastic Gradient Descent Method for Continuous Data Kexin Jin J. Latz Chenguang Liu Carola-Bibiane Schönlieb 28 9 0 07 Dec 2021
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems Nikolas Nusken Lorenz Richter PINN DiffM 41 27 0 07 Dec 2021
Hierarchical Learning to Solve Partial Differential Equations Using Physics-Informed Neural Networks Jihun Han Yoonsang Lee AI4CE 24 10 0 02 Dec 2021
Adversarial Sampling for Solving Differential Equations with Neural Networks Kshitij Parwani P. Protopapas 22 2 0 20 Nov 2021
Data-driven discoveries of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes Zijian Zhou Li Wang Weifang Weng Zhenya Yan 27 17 0 18 Nov 2021
Uncertainty Quantification in Neural Differential Equations Olga Graf P. Flores P. Protopapas K. Pichara UQCV AI4CE 37 7 0 08 Nov 2021
Physics-Informed Neural Operator for Learning Partial Differential Equations Zong-Yi Li Hongkai Zheng Nikola B. Kovachki David Jin Haoxuan Chen Burigede Liu Kamyar Azizzadenesheli Anima Anandkumar AI4CE 62 386 0 06 Nov 2021
Solving Partial Differential Equations with Point Source Based on Physics-Informed Neural Networks Xiang Huang Hongsheng Liu Beiji Shi Zidong Wang Kan Yang ... Jing Zhou Fan Yu Bei Hua Lei Chen Bin Dong 19 20 0 02 Nov 2021
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method Zhongjian Wang Jack Xin Zhiwen Zhang 39 15 0 02 Nov 2021
HyperPINN: Learning parameterized differential equations with physics-informed hypernetworks Filipe de Avila Belbute-Peres Yi-fan Chen Fei Sha PINN 18 38 0 28 Oct 2021
Computing the Invariant Distribution of Randomly Perturbed Dynamical Systems Using Deep Learning Bo Lin Qianxiao Li W. Ren 29 8 0 22 Oct 2021
One-Shot Transfer Learning of Physics-Informed Neural Networks Shaan Desai M. Mattheakis H. Joy P. Protopapas Stephen J. Roberts PINN AI4CE 27 58 0 21 Oct 2021
Multi-Objective Loss Balancing for Physics-Informed Deep Learning Rafael Bischof M. Kraus PINN AI4CE 35 93 0 19 Oct 2021
NeuFENet: Neural Finite Element Solutions with Theoretical Bounds for Parametric PDEs Biswajit Khara Aditya Balu Ameya Joshi S. Sarkar C. Hegde A. Krishnamurthy Baskar Ganapathysubramanian 49 19 0 04 Oct 2021
Physics and Equality Constrained Artificial Neural Networks: Application to Forward and Inverse Problems with Multi-fidelity Data Fusion S. Basir Inanc Senocak PINN AI4CE 36 68 0 30 Sep 2021
Learning in Sinusoidal Spaces with Physics-Informed Neural Networks Jian Cheng Wong C. Ooi Abhishek Gupta Yew-Soon Ong AI4CE PINN SSL 23 77 0 20 Sep 2021
Neural network optimal feedback control with enhanced closed loop stability Tenavi Nakamura-Zimmerer Q. Gong W. Kang 31 8 0 15 Sep 2021
Spline-PINN: Approaching PDEs without Data using Fast, Physics-Informed Hermite-Spline CNNs Nils Wandel Michael Weinmann Michael Neidlin Reinhard Klein AI4CE 58 60 0 15 Sep 2021
Learning Density Distribution of Reachable States for Autonomous Systems Yue Meng Dawei Sun Zeng Qiu Md Tawhid Bin Waez Chuchu Fan 82 19 0 14 Sep 2021
Modeling Systems with Machine Learning based Differential Equations P. García OOD 21 2 0 09 Sep 2021
Self-adaptive deep neural network: Numerical approximation to functions and PDEs Zhiqiang Cai Jingshuang Chen Min Liu ODL 25 14 0 07 Sep 2021
Characterizing possible failure modes in physics-informed neural networks Aditi S. Krishnapriyan A. Gholami Shandian Zhe Robert M. Kirby Michael W. Mahoney PINN AI4CE 51 615 0 02 Sep 2021
Wasserstein Generative Adversarial Uncertainty Quantification in Physics-Informed Neural Networks Yihang Gao Michael K. Ng 38 29 0 30 Aug 2021
Neural Operator: Learning Maps Between Function Spaces Nikola B. Kovachki Zong-Yi Li Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 57 442 0 19 Aug 2021
Feature Engineering with Regularity Structures I. Chevyrev A. Gerasimovičs H. Weber 39 10 0 12 Aug 2021
Deep Learning for Mean Field Games and Mean Field Control with Applications to Finance René Carmona Mathieu Laurière AI4CE 28 26 0 09 Jul 2021
Physics-Guided Deep Learning for Dynamical Systems: A Survey Rui Wang Rose Yu AI4CE PINN 46 65 0 02 Jul 2021
Inverse-Dirichlet Weighting Enables Reliable Training of Physics Informed Neural Networks S. Maddu D. Sturm Christian L. Müller I. Sbalzarini AI4CE 29 81 0 02 Jul 2021
Cell-average based neural network method for hyperbolic and parabolic partial differential equations Changxin Qiu Jue Yan 21 10 0 02 Jul 2021
Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations Z. Hajimohammadi Kourosh Parand A. Ghodsi 33 4 0 27 Jun 2021
On the Representation of Solutions to Elliptic PDEs in Barron Spaces Ziang Chen Jianfeng Lu Yulong Lu 38 27 0 14 Jun 2021
Random feature neural networks learn Black-Scholes type PDEs without curse of dimensionality Lukas Gonon 26 35 0 14 Jun 2021
Integrating Expert ODEs into Neural ODEs: Pharmacology and Disease Progression Zhaozhi Qian W. Zame L. Fleuren Paul Elbers M. Schaar OOD 22 53 0 05 Jun 2021
Invertible Surrogate Models: Joint surrogate modelling and reconstruction of Laser-Wakefield Acceleration by invertible neural networks Friedrich Bethke R. Pausch Patrick Stiller A. Debus Michael Bussmann Nico Hoffmann 33 2 0 01 Jun 2021
Neural network architectures using min-plus algebra for solving certain high dimensional optimal control problems and Hamilton-Jacobi PDEs Jérome Darbon P. Dower Tingwei Meng 19 22 0 07 May 2021
Direct Prediction of Steady-State Flow Fields in Meshed Domain with Graph Networks Lukas Harsch S. Riedelbauch AI4CE 59 12 0 06 May 2021
Improved Surrogate Modeling of Fluid Dynamics with Physics-Informed Neural Networks Jian Cheng Wong C. Ooi P. Chiu M. Dao PINN AI4CE 32 4 0 05 May 2021
A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems Jianfeng Lu Yulong Lu 34 29 0 04 May 2021
Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves Zijian Zhou Zhenya Yan 11 33 0 30 Apr 2021
A Physics-Constrained Deep Learning Model for Simulating Multiphase Flow in 3D Heterogeneous Porous Media B. Yan D. Harp Bailian Chen R. Pawar AI4CE 21 72 0 30 Apr 2021
A Gradient-based Deep Neural Network Model for Simulating Multiphase Flow in Porous Media B. Yan D. Harp R. Pawar AI4CE 28 63 0 30 Apr 2021
Distributed Multigrid Neural Solvers on Megavoxel Domains Aditya Balu Sergio Botelho Biswajit Khara Vinay Rao C. Hegde S. Sarkar Santi S. Adavani A. Krishnamurthy Baskar Ganapathysubramanian AI4CE 24 11 0 29 Apr 2021
Adversarial Multi-task Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Pongpisit Thanasutives M. Numao Ken-ichi Fukui AI4CE 30 24 0 29 Apr 2021