Learning continuous-time PDEs from sparse data with graph neural networks

16 June 2020

Harri Lähdesmäki

Papers citing "Learning continuous-time PDEs from sparse data with graph neural networks"

21 / 21 papers shown

Title
Learning to Decouple Complex Systems Zihan Zhou Tianshu Yu BDL 66 4 0 17 Feb 2025
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang M. Yan Y. Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 40 3 0 02 Oct 2024
Continuous-Time Digital Twin with Analogue Memristive Neural Ordinary Differential Equation Solver Hegan Chen Jichang Yang Jia Chen Songqi Wang Shaocong Wang ... Han Wang Dashan Shang Qi Liu Kwang-Ting Cheng Ming-Yu Liu 42 0 0 12 Jun 2024
Flexible SE(2) graph neural networks with applications to PDE surrogates Maria Bånkestad Olof Mogren Aleksis Pirinen 44 1 0 30 May 2024
TransformerG2G: Adaptive time-stepping for learning temporal graph embeddings using transformers Alan John Varghese Aniruddha Bora Mengjia Xu George Karniadakis 31 5 0 05 Jul 2023
GNN-based physics solver for time-independent PDEs R. J. Gladstone H. Rahmani V. Suryakumar Hadi Meidani M. DÉlia A. Zareei AI4CE 20 15 0 28 Mar 2023
SF-SGL: Solver-Free Spectral Graph Learning from Linear Measurements Ying Zhang Zhiqiang Zhao Zhuo Feng 38 2 0 09 Feb 2023
HyperEF: Spectral Hypergraph Coarsening by Effective-Resistance Clustering Ali Aghdaei Zhuo Feng 15 8 0 26 Oct 2022
Modular Flows: Differential Molecular Generation Yogesh Verma Samuel Kaski Markus Heinonen Vikas K. Garg 29 14 0 12 Oct 2022
Towards Learned Simulators for Cell Migration Koen Minartz Y. Poels Vlado Menkovski 27 1 0 02 Oct 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 42 140 0 26 May 2022
Scalable algorithms for physics-informed neural and graph networks K. Shukla Mengjia Xu N. Trask George Karniadakis PINN AI4CE 65 40 0 16 May 2022
Learning time-dependent PDE solver using Message Passing Graph Neural Networks Pourya Pilva A. Zareei AI4CE 25 7 0 15 Apr 2022
Improved Training of Physics-Informed Neural Networks with Model Ensembles Katsiaryna Haitsiukevich Alexander Ilin PINN 28 23 0 11 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 34 55 0 31 Mar 2022
GOPHER: Categorical probabilistic forecasting with graph structure via local continuous-time dynamics Ke Alexander Wang Danielle C. Maddix Yuyang Wang AI4CE 26 1 0 18 Dec 2021
Linear algebra with transformers Franccois Charton AIMat 27 56 0 03 Dec 2021
NeuralPDE: Modelling Dynamical Systems from Data Andrzej Dulny Andreas Hotho Anna Krause AI4CE 22 11 0 15 Nov 2021
Reconstructing Nonlinear Dynamical Systems from Multi-Modal Time Series Daniel Kramer P. Bommer Carlo Tombolini G. Koppe Daniel Durstewitz BDL AI4TS AI4CE 14 18 0 04 Nov 2021
A Compositional Object-Based Approach to Learning Physical Dynamics Michael Chang T. Ullman Antonio Torralba J. Tenenbaum AI4CE OCL 241 438 0 01 Dec 2016
Interaction Networks for Learning about Objects, Relations and Physics Peter W. Battaglia Razvan Pascanu Matthew Lai Danilo Jimenez Rezende Koray Kavukcuoglu AI4CE OCL PINN GNN 278 1,400 0 01 Dec 2016