Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

28 November 2017

Papers citing "Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations"

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Title
A physics-informed search for metric solutions to Ricci flow, their embeddings, and visualisation Aarjav Jain Challenger Mishra Pietro Lio 37 3 0 30 Nov 2022
Physics Informed Neural Network for Dynamic Stress Prediction H. Bolandi Gautam Sreekumar Xuyang Li N. Lajnef Vishnu Boddeti AI4CE 48 23 0 28 Nov 2022
Physics-Informed Koopman Network Yuying Liu A. Sholokhov Hassan Mansour S. Nabi AI4CE 84 3 0 17 Nov 2022
Multilayer Perceptron-based Surrogate Models for Finite Element Analysis Lawson Oliveira Lima Julien Rosenberger E. Antier Frédéric Magoulès AI4CE 34 0 0 17 Nov 2022
Physics-Guided, Physics-Informed, and Physics-Encoded Neural Networks in Scientific Computing Salah A. Faroughi N. Pawar C. Fernandes Maziar Raissi Subasish Das N. Kalantari S. K. Mahjour PINN AI4CE 71 52 0 14 Nov 2022
Embed and Emulate: Learning to estimate parameters of dynamical systems with uncertainty quantification Ruoxi Jiang Rebecca Willett 56 7 0 03 Nov 2022
An optimal control perspective on diffusion-based generative modeling Julius Berner Lorenz Richter Karen Ullrich DiffM 143 97 0 02 Nov 2022
Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective Tanya Marwah Zachary Chase Lipton Jianfeng Lu Andrej Risteski 78 10 0 21 Oct 2022
MAgNet: Mesh Agnostic Neural PDE Solver Oussama Boussif D. Assouline L. Benabbou Yoshua Bengio AI4CE 217 30 0 11 Oct 2022
Neural Conservation Laws: A Divergence-Free Perspective Jack Richter-Powell Y. Lipman Ricky T. Q. Chen 117 56 0 04 Oct 2022
Scaling transformation of the multimode nonlinear Schrödinger equation for physics-informed neural networks I. Chuprov D. Efremenko Jiexing Gao P. Anisimov V. Zemlyakov 49 0 0 29 Sep 2022
Physically constrained neural networks to solve the inverse problem for neuron models Matteo Ferrante A. Duggento N. Toschi PINN AI4CE 46 1 0 24 Sep 2022
Vision for Bosnia and Herzegovina in Artificial Intelligence Age: Global Trends, Potential Opportunities, Selected Use-cases and Realistic Goals Zlatan Ajanović E. Alickovic Aida Brankovic Sead Delalic Eldar Kurtic S. Malikić Adnan Mehonic Hamza Merzic Kenan Sehic Bahrudin Trbalic 84 0 0 08 Sep 2022
A Model-Constrained Tangent Slope Learning Approach for Dynamical Systems Hai V. Nguyen T. Bui-Thanh 56 2 0 09 Aug 2022
Use of BNNM for interference wave solutions of the gBS-like equation and comparison with PINNs S. Vadyala S. N. Betgeri 77 0 0 07 Aug 2022
Stochastic Scaling in Loss Functions for Physics-Informed Neural Networks Ethan A Mills Alexey Pozdnyakov 62 1 0 07 Aug 2022
PhyGNNet: Solving spatiotemporal PDEs with Physics-informed Graph Neural Network Longxiang Jiang Liyuan Wang Xinkun Chu Yonghao Xiao Hao Zhang AI4CE 62 14 0 07 Aug 2022
Simulation and application of COVID-19 compartment model using physics-informed neural network Jinhuan Ke Jiahao Ma Xiyu Yin Robin Singh 26 0 0 04 Aug 2022
Quantum-Inspired Tensor Neural Networks for Partial Differential Equations Raj G. Patel Chia-Wei Hsing Serkan Şahi̇n S. Jahromi Samuel Palmer ... Stephane Aubert Pierre Castellani Chi-Guhn Lee Samuel Mugel Roman Orus 122 15 0 03 Aug 2022
A Modified PINN Approach for Identifiable Compartmental Models in Epidemiology with Applications to COVID-19 Haoran Hu Connor Kennedy P. Kevrekidis Hongkun Zhang 114 11 0 01 Aug 2022
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems Yating Wang W. Leung Guang Lin 21 1 0 24 Jul 2022
Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling Arka Daw Jie Bu Sizhuang He P. Perdikaris Anuj Karpatne AI4CE 109 52 0 05 Jul 2022
Informed Learning by Wide Neural Networks: Convergence, Generalization and Sampling Complexity Jianyi Yang Shaolei Ren 73 3 0 02 Jul 2022
PhySRNet: Physics informed super-resolution network for application in computational solid mechanics Rajat Arora AI4CE 83 10 0 30 Jun 2022
Integral Transforms in a Physics-Informed (Quantum) Neural Network setting: Applications & Use-Cases Niraj Kumar E. Philip V. Elfving PINN AI4CE 44 4 0 28 Jun 2022
Inverse Boundary Value and Optimal Control Problems on Graphs: A Neural and Numerical Synthesis Mehdi Garrousian Amirhossein Nouranizadeh 42 0 0 06 Jun 2022
Learning Fine Scale Dynamics from Coarse Observations via Inner Recurrence V. Churchill D. Xiu AI4CE 57 2 0 03 Jun 2022
Learning Sparse Nonlinear Dynamics via Mixed-Integer Optimization Dimitris Bertsimas Wes Gurnee AI4CE 84 46 0 01 Jun 2022
Finite Element Method-enhanced Neural Network for Forward and Inverse Problems R. Meethal B. Obst Mohamed Khalil A. Ghantasala A. Kodakkal K. Bletzinger R. Wüchner AI4CE 60 33 0 17 May 2022
Deep Learning of Chaotic Systems from Partially-Observed Data V. Churchill D. Xiu 90 13 0 12 May 2022
Physics-informed neural networks for PDE-constrained optimization and control Jostein Barry-Straume A. Sarshar Andrey A. Popov Adrian Sandu PINN AI4CE 76 14 0 06 May 2022
GCN-FFNN: A Two-Stream Deep Model for Learning Solution to Partial Differential Equations Onur Bilgin Thomas Vergutz S. Mehrkanoon GNN 58 3 0 28 Apr 2022
Learning time-dependent PDE solver using Message Passing Graph Neural Networks Pourya Pilva A. Zareei AI4CE 61 7 0 15 Apr 2022
Qade: Solving Differential Equations on Quantum Annealers J. C. Criado M. Spannowsky 54 13 0 07 Apr 2022
When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learning Chuizheng Meng Sungyong Seo Defu Cao Sam Griesemer Yan Liu PINN AI4CE 117 59 0 31 Mar 2022
Neural representation of a time optimal, constant acceleration rendezvous Dario Izzo Sebastien Origer 55 12 0 29 Mar 2022
Applications of physics informed neural operators S. Rosofsky Hani Al Majed Eliu A. Huerta PINN AI4CE 56 41 0 23 Mar 2022
PI-VAE: Physics-Informed Variational Auto-Encoder for stochastic differential equations Weiheng Zhong Hadi Meidani DRL 62 38 0 21 Mar 2022
I Know Therefore I Score: Label-Free Crafting of Scoring Functions using Constraints Based on Domain Expertise Ragja Palakkadavath S. Sivaprasad Shirish S. Karande N. Pedanekar 72 0 0 18 Mar 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 64 63 0 16 Mar 2022
Robust Modeling of Unknown Dynamical Systems via Ensemble Averaged Learning V. Churchill Steve Manns Zhen Chen D. Xiu AI4CE 66 10 0 07 Mar 2022
FinNet: Solving Time-Independent Differential Equations with Finite Difference Neural Network Son N. T. Tu Thu Nguyen AI4CE 51 0 0 18 Feb 2022
Machine Learning in Aerodynamic Shape Optimization Ji-chao Li Xiaosong Du J. Martins AI4CE 91 193 0 15 Feb 2022
Modeling unknown dynamical systems with hidden parameters Xiaohan Fu Weize Mao L. Chang D. Xiu 53 5 0 03 Feb 2022
Approximately Equivariant Networks for Imperfectly Symmetric Dynamics Rui Wang Robin Walters Rose Yu 111 82 0 28 Jan 2022
Physics-informed ConvNet: Learning Physical Field from a Shallow Neural Network Peng Shi Zhi Zeng Tianshou Liang AI4CE 54 21 0 26 Jan 2022
Neural Implicit Surface Evolution Tiago Novello V. Silva Guilherme Gonçalves Schardong L. Schirmer Helio Lopes Luiz Velho AI4CE 120 12 0 24 Jan 2022
Heat Conduction Plate Layout Optimization using Physics-driven Convolutional Neural Networks Hao Ma Yang-Tian Sun M. Chiarelli 35 2 0 21 Jan 2022
Physics-informed neural networks for modeling rate- and temperature-dependent plasticity Rajat Arora P. Kakkar Biswadip Dey Amit Chakraborty PINN AI4CE 114 20 0 20 Jan 2022
Symplectic Momentum Neural Networks -- Using Discrete Variational Mechanics as a prior in Deep Learning Saul Santos Monica Ekal R. Ventura 63 5 0 20 Jan 2022