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Modeling the Dynamics of PDE Systems with Physics-Constrained Deep Auto-Regressive Networks

Journal of Computational Physics (JCP), 2019

13 June 2019

Papers citing "Modeling the Dynamics of PDE Systems with Physics-Constrained Deep Auto-Regressive Networks"

50 / 122 papers shown

Title
Uncertainty-Aware Diagnostics for Physics-Informed Machine Learning Mara Daniels Liam Hodgkinson Michael W. Mahoney PINN AI4CE 219 0 0 30 Oct 2025
Counterfactual Identifiability via Dynamic Optimal Transport Fabio De Sousa Ribeiro Ainkaran Santhirasekaram Ben Glocker OT 272 0 0 09 Oct 2025
Breaking the Discretization Barrier of Continuous Physics Simulation Learning Fan Xu Hao Wu Nan Wang Lilan Peng Kun Wang Wei Gong Xibin Zhao AI4CE 104 3 0 22 Sep 2025
Conditioning on PDE Parameters to Generalise Deep Learning Emulation of Stochastic and Chaotic Dynamics Ira J. S. Shokar R. Kerswell Peter H. Haynes AI4CE 80 0 0 11 Sep 2025
SAFT: Shape and Appearance of Fabrics from Template via Differentiable Physical Simulations from Monocular Video David Stotko Reinhard Klein 3DH 93 0 0 10 Sep 2025
On the Generalisation of Koopman Representations for Chaotic System Control Kyriakos Hjikakou Juan Cardenas-Cartagena Matthia Sabatelli AI4CE 40 0 0 26 Aug 2025
Quantifying Out-of-Training Uncertainty of Neural-Network based Turbulence Closures Cody Grogan Som Dhulipala Mauricio Tano Izabela Gutowska Som Dutta UQCV 64 0 0 23 Aug 2025
Learning an Implicit Physics Model for Image-based Fluid Simulation Emily Yue-Ting Jia Jiageng Mao Zhiyuan Gao Yajie Zhao Yue Wang 3DH VGen AI4CE 57 0 0 11 Aug 2025
LVM-GP: Uncertainty-Aware PDE Solver via coupling latent variable model and Gaussian process Xiaodong Feng Ling Guo Xiaoliang Wan Hao Wu Tao Zhou Wenwen Zhou AI4CE 191 0 0 30 Jul 2025
Lost in Latent Space: An Empirical Study of Latent Diffusion Models for Physics Emulation François Rozet Ruben Ohana Michael McCabe Gilles Louppe F. Lanusse S. Ho DiffM 151 7 0 03 Jul 2025
Guided Diffusion Sampling on Function Spaces with Applications to PDEs Jiachen Yao Abbas Mammadov Julius Berner Gavin Kerrigan Jong Chul Ye Kamyar Azizzadenesheli A. Anandkumar DiffM 217 6 0 22 May 2025
Physics-informed Temporal Alignment for Auto-regressive PDE Foundation Models Congcong Zhu Xiaoyan Xu Jiayue Han Jingrun Chen OOD AI4CE 344 0 0 16 May 2025
Data-Efficient Inference of Neural Fluid Fields via SciML Foundation Model Yuqiu Liu Jingxuan Xu Mauricio Soroco Yunchao Wei Wuyang Chen AI4CE 355 2 0 18 Dec 2024
CESAR: A Convolutional Echo State AutoencodeR for High-Resolution Wind Forecasting Matthew Bonas Paolo Giani Paola Crippa Stefano Castruccio 193 0 0 13 Dec 2024
Physics Encoded Blocks in Residual Neural Network Architectures for Digital Twin ModelsMachine-mediated learning (ML), 2024 Muhammad Saad Zia Ashiq Anjum Lu Liu Anthony Conway Anasol Pena Rios AI4CE PINN 316 1 0 18 Nov 2024
Sampling from Bayesian Neural Network Posteriors with Symmetric Minibatch Splitting Langevin DynamicsInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2024 Daniel Paulin Peter Whalley Neil K. Chada Benedict Leimkuhler BDL 319 6 0 14 Oct 2024
Metamizer: a versatile neural optimizer for fast and accurate physics simulationsInternational Conference on Learning Representations (ICLR), 2024 Nils Wandel Stefan Schulz Reinhard Klein PINN AI4CE 277 3 0 10 Oct 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 260 4 0 04 Oct 2024
Physics-Informed Graph-Mesh Networks for PDEs: A hybrid approach for complex problemsAdvances in Engineering Software (Adv. Eng. Softw.), 2024 M. Chenaud Frédéric Magoulès José Alves AI4CE PINN 148 2 0 25 Sep 2024
On latent dynamics learning in nonlinear reduced order modelingNeural Networks (NN), 2024 N. Farenga S. Fresca Simone Brivio Andrea Manzoni AI4CE 166 8 0 27 Aug 2024
Model Based and Physics Informed Deep Learning Neural Network Structures A. Mohammad-Djafari Ning Chu Li Wang Caifang Cai Liang Yu PINN 128 0 0 13 Aug 2024
Neural Network Emulator for Atmospheric Chemical ODENeural Networks (NN), 2024 Zhi-Song Liu Petri S. Clusius Michael Boy 282 5 0 03 Aug 2024
KAN-ODEs: Kolmogorov-Arnold Network Ordinary Differential Equations for Learning Dynamical Systems and Hidden Physics Benjamin C. Koenig Suyong Kim Sili Deng 323 109 0 05 Jul 2024
Pi-fusion: Physics-informed diffusion model for learning fluid dynamics Jing Qiu Jiancheng Huang Xiangdong Zhang Zeng Lin Minglei Pan Zengding Liu F. Miao AI4CE 171 4 0 06 Jun 2024
A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains Yusuke Yamazaki Ali Harandi Mayu Muramatsu A. Viardin Markus Apel T. Brepols Stefanie Reese Shahed Rezaei AI4CE 325 23 0 21 May 2024
Solving Partial Differential Equations with Equivariant Extreme Learning Machines Christine Allen-Blanchette Jean Rabault Ricardo Vinuesa Mikael Mortensen Sebastian Peitz 311 4 0 29 Apr 2024
A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations Shahed Rezaei Reza Najian Asl S. Faroughi Mahdi Asgharzadeh Ali Harandi Rasoul Najafi Koopas G. Laschet Stefanie Reese Markus Apel AI4CE 255 13 0 28 Mar 2024
MPIPN: A Multi Physics-Informed PointNet for solving parametric acoustic-structure systems Chu Wang Jinhong Wu Yanzhi Wang Zhijian Zha Qi Zhou PINN 139 4 0 02 Mar 2024
SuperdropNet: a Stable and Accurate Machine Learning Proxy for Droplet-based Cloud Microphysics Shivani Sharma David Greenberg 84 3 0 28 Feb 2024
Generative Learning for Forecasting the Dynamics of Complex Systems Han Gao Sebastian Kaltenbach Petros Koumoutsakos AI4TS AI4CE 270 9 0 27 Feb 2024
Data-Efficient Operator Learning via Unsupervised Pretraining and In-Context Learning Wuyang Chen Jialin Song Pu Ren Shashank Subramanian Dmitriy Morozov Michael W. Mahoney AI4CE 352 19 0 24 Feb 2024
Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics Michael Penwarden H. Owhadi Robert M. Kirby AI4CE 144 3 0 16 Feb 2024
Robust Physics Informed Neural Networks Marcin Lo's Maciej Paszyñski PINN 200 0 0 04 Jan 2024
Graph Network Surrogate Model for Subsurface Flow Optimization Haoyu Tang L. Durlofsky 156 27 0 14 Dec 2023
Physics-Enhanced TinyML for Real-Time Detection of Ground Magnetic Anomalies Talha Siddique Md. Shaad Mahmud AI4CE 135 5 0 19 Nov 2023
Solving High Frequency and Multi-Scale PDEs with Gaussian Processes Shikai Fang Madison Cooley Da Long Shibo Li R. Kirby Shandian Zhe 211 9 0 08 Nov 2023
A foundational neural operator that continuously learns without forgetting Tapas Tripura Souvik Chakraborty CLL 181 10 0 29 Oct 2023
Waveformer for modelling dynamical systems N. Navaneeth Souvik Chakraborty 92 2 0 08 Oct 2023
Deep Learning in Deterministic Computational Mechanics L. Herrmann Stefan Kollmannsberger AI4CE PINN 251 1 0 27 Sep 2023
DPA-WNO: A gray box model for a class of stochastic mechanics problem Tushar Souvik Chakraborty DiffM 186 3 0 24 Sep 2023
Bayesian Reasoning for Physics Informed Neural Networks K. Graczyk Kornel Witkowski 204 0 0 25 Aug 2023
Bi-fidelity Variational Auto-encoder for Uncertainty QuantificationComputer Methods in Applied Mechanics and Engineering (CMAME), 2023 Nuojin Cheng Osman Asif Malik Subhayan De Stephen Becker Alireza Doostan 202 12 0 25 May 2023
Interpretation of Time-Series Deep Models: A Survey Ziqi Zhao Yucheng Shi Shushan Wu Fan Yang Wenzhan Song Ninghao Liu AI4TS 225 13 0 23 May 2023
PastNet: Introducing Physical Inductive Biases for Spatio-temporal Video PredictionACM Multimedia (ACM MM), 2023 Hao Wu Wei Xion Fan Xu Xian-Sheng Hua C. L. Philip Chen Xiansheng Hua AI4TS 334 60 0 19 May 2023
Orthogonal Transforms in Neural Networks Amount to Effective Regularization Krzysztof Zajkac Wojciech Sopot Paweł Wachel 113 0 0 10 May 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 180 0 0 25 Apr 2023
Adaptive learning of effective dynamics: Adaptive real-time, online modeling for complex systems Ivica Kicic Pantelis R. Vlachas G. Arampatzis Michail Chatzimanolakis Leonidas Guibas Petros Koumoutsakos AI4CE 123 7 0 04 Apr 2023
GNN-based physics solver for time-independent PDEs R. J. Gladstone H. Rahmani V. Suryakumar Hadi Meidani M. DÉlia A. Zareei AI4CE 113 17 0 28 Mar 2023
ELF: Federated Langevin Algorithms with Primal, Dual and Bidirectional CompressionConference on Uncertainty in Artificial Intelligence (UAI), 2023 Avetik G. Karagulyan Peter Richtárik FedML 203 6 0 08 Mar 2023
VI-DGP: A variational inference method with deep generative prior for solving high-dimensional inverse problemsJournal of Scientific Computing (J. Sci. Comput.), 2023 Yingzhi Xia Qifeng Liao Jinglai Li 222 4 0 22 Feb 2023