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"

50 / 380 papers shown

Title
Deep Learning and Inverse Problems A. Mohammad-Djafari Ning Chu Li Wang Lianggeng Yu AI4CE BDL PINN 77 0 0 02 Sep 2023
Bayesian Reasoning for Physics Informed Neural Networks K. Graczyk Kornel Witkowski 87 0 0 25 Aug 2023
Physics informed Neural Networks applied to the description of wave-particle resonance in kinetic simulations of fusion plasmas J. Kumar D. Zarzoso V. Grandgirard Jana Ebert Stefan Kesselheim PINN 44 1 0 23 Aug 2023
Learning Green's Function Efficiently Using Low-Rank Approximations Kishan Wimalawarne Taiji Suzuki S. Langer 52 1 0 01 Aug 2023
PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks Leo Zhao Xueying Ding B. Prakash PINN AI4CE 74 35 0 21 Jul 2023
Flow Map Learning for Unknown Dynamical Systems: Overview, Implementation, and Benchmarks V. Churchill D. Xiu AI4CE 69 11 0 20 Jul 2023
Automatic Differentiation for Inverse Problems with Applications in Quantum Transport I. Williams E. Polizzi 40 2 0 18 Jul 2023
Neural Stream Functions Skylar W. Wurster Hanqi Guo Tom Peterka Han-Wei Shen 88 0 0 16 Jul 2023
Solving higher-order Lane-Emden-Fowler type equations using physics-informed neural networks: benchmark tests comparing soft and hard constraints H. Baty PINN 15 2 0 14 Jul 2023
A Deep Learning Framework for Solving Hyperbolic Partial Differential Equations: Part I Rajat Arora PINN AI4CE 55 1 0 09 Jul 2023
Capturing Local Temperature Evolution during Additive Manufacturing through Fourier Neural Operators Jiangce Chen Wenzhuo Xu Martha Baldwin Björn Nijhuis T. Boogaard Noelia Grande Gutiérrez S. Narra Christopher McComb AI4CE 48 3 0 04 Jul 2023
Parameter Identification for Partial Differential Equations with Spatiotemporal Varying Coefficients Guangtao Zhang Yiting Duan Guanyu Pan Qijing Chen Huiyu Yang Zhikun Zhang 139 0 0 30 Jun 2023
MyCrunchGPT: A chatGPT assisted framework for scientific machine learning Varun V. Kumar Leonard Gleyzer Adar Kahana K. Shukla George Karniadakis AI4CE 86 14 0 27 Jun 2023
Limits for Learning with Language Models Nicholas M. Asher Swarnadeep Bhar Akshay Chaturvedi Julie Hunter Soumya Paul 78 25 0 21 Jun 2023
Physics-Informed Computer Vision: A Review and Perspectives C. Banerjee Kien Nguyen Clinton Fookes G. Karniadakis PINN AI4CE 90 33 0 29 May 2023
$PINNs error estimates for nonlinear equations in $\mathbb{R}$-smooth Banach spaces$ PINNs error estimates for nonlinear equations in $\mathbb{R}$ -smooth Banach spaces Jiexing Gao Yurii Zakharian 61 1 0 18 May 2023
MINN: Learning the dynamics of differential-algebraic equations and application to battery modeling Yicun Huang Changfu Zou Yongqian Li T. Wik PINN 108 10 0 27 Apr 2023
Physics-informed Neural Network Combined with Characteristic-Based Split for Solving Navier-Stokes Equations Shuang Hu Meiqin Liu Senlin Zhang Shanling Dong Ronghao Zheng PINN 53 19 0 21 Apr 2023
Application of Tensor Neural Networks to Pricing Bermudan Swaptions Raj G. Patel Tomas Dominguez M. Dib Samuel Palmer Andrea Cadarso ... Eva Andrés J. Luis-Hita Escolástico Sánchez-Martínez Samuel Mugel Roman Orus 64 2 0 18 Apr 2023
The R-mAtrIx Net Shailesh Lal Suvajit Majumder E. Sobko 36 5 0 14 Apr 2023
A priori compression of convolutional neural networks for wave simulators Hamza Boukraichi N. Akkari F. Casenave David Ryckelynck 49 2 0 11 Apr 2023
About optimal loss function for training physics-informed neural networks under respecting causality V. A. Es'kin Danil V. Davydov Ekaterina D. Egorova Alexey O. Malkhanov Mikhail A. Akhukov Mikhail E. Smorkalov PINN 93 7 0 05 Apr 2023
Probing optimisation in physics-informed neural networks Nayara Fonseca V. Guidetti Will Trojak 77 1 0 27 Mar 2023
Recent Advances and Applications of Machine Learning in Experimental Solid Mechanics: A Review Hanxun Jin Enrui Zhang H. Espinosa AI4CE 124 75 0 14 Mar 2023
Learning Reduced-Order Models for Cardiovascular Simulations with Graph Neural Networks Luca Pegolotti Martin R. Pfaller Natalia L. Rubio Ke Ding Rita Brugarolas Brufau Eric F. Darve Alison L. Marsden AI4CE 76 36 0 13 Mar 2023
Parareal with a physics-informed neural network as coarse propagator A. Ibrahim Sebastian Götschel Daniel Ruprecht 93 9 0 07 Mar 2023
MetaPhysiCa: OOD Robustness in Physics-informed Machine Learning S Chandra Mouli M. A. Alam Bruno Ribeiro OOD 60 4 0 06 Mar 2023
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance Panos Pantidis Habiba Eldababy Christopher Miguel Tagle M. Mobasher 73 22 0 03 Mar 2023
A unified scalable framework for causal sweeping strategies for Physics-Informed Neural Networks (PINNs) and their temporal decompositions Michael Penwarden Ameya Dilip Jagtap Shandian Zhe George Karniadakis Robert M. Kirby PINN AI4CE 84 61 0 28 Feb 2023
On the Limitations of Physics-informed Deep Learning: Illustrations Using First Order Hyperbolic Conservation Law-based Traffic Flow Models Archie J. Huang S. Agarwal AI4CE PINN 71 25 0 23 Feb 2023
Physics Informed Deep Learning: Applications in Transportation Archie J. Huang S. Agarwal PINN AI4CE 13 3 0 23 Feb 2023
On the Generalization of PINNs outside the training domain and the Hyperparameters influencing it Andrea Bonfanti Roberto Santana M. Ellero Babak Gholami AI4CE PINN 89 4 0 15 Feb 2023
Magnetohydrodynamics with Physics Informed Neural Operators S. Rosofsky Eliu A. Huerta AI4CE 35 12 0 13 Feb 2023
Can Physics-Informed Neural Networks beat the Finite Element Method? T. G. Grossmann Urszula Julia Komorowska J. Latz Carola-Bibiane Schönlieb PINN AI4CE 106 93 0 08 Feb 2023
IB-UQ: Information bottleneck based uncertainty quantification for neural function regression and neural operator learning Ling Guo Hao Wu Wenwen Zhou Yan Wang Tao Zhou UQCV 68 12 0 07 Feb 2023
Graph Neural Networks for temporal graphs: State of the art, open challenges, and opportunities Antonio Longa Veronica Lachi G. Santin Monica Bianchini Bruno Lepri Pietro Lio F. Scarselli Andrea Passerini AI4CE 79 61 0 02 Feb 2023
Learning Functional Transduction Mathieu Chalvidal Thomas Serre Rufin VanRullen AI4CE 91 2 0 01 Feb 2023
Neural Control of Parametric Solutions for High-dimensional Evolution PDEs Nathan Gaby X. Ye Haomin Zhou 64 6 0 31 Jan 2023
Physics-informed Neural Network: The Effect of Reparameterization in Solving Differential Equations Siddharth Nand Yuecheng Cai PINN 20 1 0 28 Jan 2023
Improving deep learning precipitation nowcasting by using prior knowledge M. Choma Petr Simánek Jakub Bartel 150 0 0 27 Jan 2023
Physics-informed Information Field Theory for Modeling Physical Systems with Uncertainty Quantification A. Alberts Ilias Bilionis 98 13 0 18 Jan 2023
GAR: Generalized Autoregression for Multi-Fidelity Fusion Yuxin Wang Zhengrong Xing Wei W. Xing AI4CE 52 3 0 13 Jan 2023
Deep Learning for Mean Field Games with non-separable Hamiltonians Mouhcine Assouli B. Missaoui 61 5 0 07 Jan 2023
Mixed moving average field guided learning for spatio-temporal data I. Curato O. Furat Lorenzo Proietti Bennet Stroeh AI4TS 94 2 0 02 Jan 2023
Physics-informed Neural Networks approach to solve the Blasius function Greeshma Krishna Malavika S. Nair Pramod P. Nair Anil Lal S PINN 16 2 0 31 Dec 2022
Quantum-Inspired Tensor Neural Networks for Option Pricing Raj G. Patel Chia-Wei Hsing Serkan Şahi̇n Samuel Palmer S. Jahromi ... Mustafa Abid Stephane Aubert Pierre Castellani Samuel Mugel Roman Orus 62 4 0 28 Dec 2022
Enhancing Neural Network Differential Equation Solvers Matthew J. H. Wright 44 1 0 28 Dec 2022
Physics-informed Neural Networks with Periodic Activation Functions for Solute Transport in Heterogeneous Porous Media Salah A. Faroughi Ramin Soltanmohammad Pingki Datta S. K. Mahjour S. Faroughi 51 26 0 17 Dec 2022
Bayesian Physics Informed Neural Networks for Data Assimilation and Spatio-Temporal Modelling of Wildfires J. Dabrowski D. Pagendam J. Hilton Conrad Sanderson Dan MacKinlay C. Huston Andrew Bolt Petra Kuhnert PINN 123 20 0 02 Dec 2022
Data-driven Science and Machine Learning Methods in Laser-Plasma Physics Andreas Döpp C. Eberle S. Howard F. Irshad Jinpu Lin M. Streeter AI4CE 74 71 0 30 Nov 2022