DeepXDE: A deep learning library for solving differential equations

10 July 2019

Papers citing "DeepXDE: A deep learning library for solving differential equations"

33 / 483 papers shown

Title
Automatic Differentiation to Simultaneously Identify Nonlinear Dynamics and Extract Noise Probability Distributions from Data Kadierdan Kaheman Steven L. Brunton J. Nathan Kutz 6 83 0 12 Sep 2020
Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism L. McClenny U. Braga-Neto PINN 28 444 0 07 Sep 2020
Uncertainty Quantification of Locally Nonlinear Dynamical Systems using Neural Networks Subhayan De 11 9 0 11 Aug 2020
When and why PINNs fail to train: A neural tangent kernel perspective Sizhuang He Xinling Yu P. Perdikaris 33 878 0 28 Jul 2020
Differentiable model-based adaptive optics with transmitted and reflected light Ivan Vishniakou Johannes D. Seelig MedIm 12 3 0 27 Jul 2020
An unsupervised learning approach to solving heat equations on chip based on Auto Encoder and Image Gradient Haiyang He Jay Pathak 14 24 0 19 Jul 2020
Expressivity of Deep Neural Networks Ingo Gühring Mones Raslan Gitta Kutyniok 16 51 0 09 Jul 2020
Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks Colby Wight Jia Zhao 12 219 0 09 Jul 2020
Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating a class of inverse problems for PDEs Siddhartha Mishra Roberto Molinaro PINN 16 262 0 29 Jun 2020
Estimates on the generalization error of Physics Informed Neural Networks (PINNs) for approximating PDEs Siddhartha Mishra Roberto Molinaro PINN 25 171 0 29 Jun 2020
Deeply Learned Spectral Total Variation Decomposition T. G. Grossmann Yury Korolev Guy Gilboa Carola-Bibiane Schönlieb 22 4 0 17 Jun 2020
Solving Differential Equations Using Neural Network Solution Bundles Cedric Wen Flamant P. Protopapas David Sondak 12 29 0 17 Jun 2020
DiscretizationNet: A Machine-Learning based solver for Navier-Stokes Equations using Finite Volume Discretization Rishikesh Ranade C. Hill Jay Pathak AI4CE 54 123 0 17 May 2020
A Combined Data-driven and Physics-driven Method for Steady Heat Conduction Prediction using Deep Convolutional Neural Networks Hao Ma Xiangyu Y. Hu Yuxuan Zhang Nils Thuerey O. Haidn AI4CE 26 12 0 16 May 2020
Numerical Solution of the Parametric Diffusion Equation by Deep Neural Networks Moritz Geist P. Petersen Mones Raslan R. Schneider Gitta Kutyniok 35 83 0 25 Apr 2020
Constrained Neural Ordinary Differential Equations with Stability Guarantees Aaron Tuor Ján Drgoňa D. Vrabie 14 25 0 22 Apr 2020
Accelerating Physics-Informed Neural Network Training with Prior Dictionaries Wei Peng Weien Zhou Jun Zhang W. Yao PINN AI4CE 27 30 0 17 Apr 2020
SINDy-PI: A Robust Algorithm for Parallel Implicit Sparse Identification of Nonlinear Dynamics Kadierdan Kaheman J. Nathan Kutz Steven L. Brunton 6 263 0 05 Apr 2020
On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs Yeonjong Shin Jérome Darbon George Karniadakis PINN 11 79 0 03 Apr 2020
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data Liu Yang Xuhui Meng George Karniadakis PINN 183 760 0 13 Mar 2020
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition E. Kharazmi Zhongqiang Zhang George Karniadakis 128 509 0 11 Mar 2020
Differentiable Molecular Simulations for Control and Learning Wujie Wang Simon Axelrod Rafael Gómez-Bombarelli AI4CE 109 49 0 27 Feb 2020
Autonomous Discovery of Unknown Reaction Pathways from Data by Chemical Reaction Neural Network Weiqi Ji Sili Deng 11 104 0 20 Feb 2020
Universal Differential Equations for Scientific Machine Learning Christopher Rackauckas Yingbo Ma Julius Martensen Collin Warner K. Zubov R. Supekar Dominic J. Skinner Ali Ramadhan Alan Edelman AI4CE 41 569 0 13 Jan 2020
Solving inverse-PDE problems with physics-aware neural networks Samira Pakravan Pouria A. Mistani M. Aragon-Calvo Frédéric Gibou AI4CE 28 50 0 10 Jan 2020
Temporal Normalizing Flows G. Both R. Kusters AI4TS 11 10 0 19 Dec 2019
Physics-Informed Neural Networks for Multiphysics Data Assimilation with Application to Subsurface Transport Qizhi He D. Barajas-Solano G. Tartakovsky A. Tartakovsky AI4CE 17 254 0 06 Dec 2019
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 43 2,023 0 08 Oct 2019
PPINN: Parareal Physics-Informed Neural Network for time-dependent PDEs Xuhui Meng Zhen Li Dongkun Zhang George Karniadakis PINN AI4CE 22 442 0 23 Sep 2019
DL-PDE: Deep-learning based data-driven discovery of partial differential equations from discrete and noisy data Hao Xu Haibin Chang Dongxiao Zhang AI4CE 14 69 0 13 Aug 2019
Learning the Tangent Space of Dynamical Instabilities from Data Antoine Blanchard T. Sapsis 8 8 0 24 Jul 2019
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks Chelsea Finn Pieter Abbeel Sergey Levine OOD 368 11,700 0 09 Mar 2017
Neural Architecture Search with Reinforcement Learning Barret Zoph Quoc V. Le 271 5,327 0 05 Nov 2016