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Message Passing Neural PDE Solvers
v1v2v3 (latest)

Message Passing Neural PDE Solvers

International Conference on Learning Representations (ICLR), 2022
7 February 2022
Johannes Brandstetter
Daniel E. Worrall
Max Welling
    AI4CE
ArXiv (abs)PDFHTML

Papers citing "Message Passing Neural PDE Solvers"

50 / 235 papers shown
FNOPT: Resolution-Agnostic, Self-Supervised Cloth Simulation using Meta-Optimization with Fourier Neural Operators
FNOPT: Resolution-Agnostic, Self-Supervised Cloth Simulation using Meta-Optimization with Fourier Neural Operators
Ruochen Chen
Thuy Tran
Shaifali Parashar
AI4CE
85
0
0
05 Dec 2025
Efficient Generative Transformer Operators For Million-Point PDEs
Efficient Generative Transformer Operators For Million-Point PDEs
Armand K. Koupai
Lise Le Boudec
Patrick Gallinari
118
0
0
04 Dec 2025
Pre-Generating Multi-Difficulty PDE Data for Few-Shot Neural PDE Solvers
Pre-Generating Multi-Difficulty PDE Data for Few-Shot Neural PDE Solvers
Naman Choudhary
Vedant Singh
Ameet Talwalkar
Nicholas Matthew Boffi
M. Khodak
Tanya Marwah
DiffMAI4CE
115
0
0
29 Nov 2025
Adaptive Mesh-Quantization for Neural PDE Solvers
Adaptive Mesh-Quantization for Neural PDE Solvers
Winfried van den Dool
Maksim Zhdanov
Yuki M. Asano
Max Welling
MQAI4CE
439
0
0
23 Nov 2025
Active Learning with Selective Time-Step Acquisition for PDEs
Active Learning with Selective Time-Step Acquisition for PDEsInternational Conference on Machine Learning (ICML), 2025
Yegon Kim
Hyunsu Kim
Gyeonghoon Ko
Juho Lee
AI4CE
189
2
0
22 Nov 2025
INC: An Indirect Neural Corrector for Auto-Regressive Hybrid PDE Solvers
INC: An Indirect Neural Corrector for Auto-Regressive Hybrid PDE Solvers
Hao Wei
Aleksandra Franz
Bjoern List
Nils Thuerey
PINNAI4CE
465
1
0
16 Nov 2025
Generalizing PDE Emulation with Equation-Aware Neural Operators
Generalizing PDE Emulation with Equation-Aware Neural Operators
Qian-Ze Zhu
Paul Raccuglia
Michael P. Brenner
AI4CE
266
0
0
12 Nov 2025
Pixel-level Quality Assessment for Oriented Object Detection
Pixel-level Quality Assessment for Oriented Object Detection
Yunhui Zhu
Buliao Huang
ObjD
509
0
0
11 Nov 2025
A Risk-Neutral Neural Operator for Arbitrage-Free SPX-VIX Term Structures
A Risk-Neutral Neural Operator for Arbitrage-Free SPX-VIX Term Structures
Jianán Zhang
158
0
0
09 Nov 2025
Context-aware Learned Mesh-based Simulation via Trajectory-Level Meta-Learning
Context-aware Learned Mesh-based Simulation via Trajectory-Level Meta-Learning
Philipp Dahlinger
Niklas Freymuth
Tai Hoang
Tobias Würth
Michael Volpp
Luise Kärger
Gerhard Neumann
AI4CE
345
0
0
07 Nov 2025
Mixture-of-Experts Operator Transformer for Large-Scale PDE Pre-Training
Mixture-of-Experts Operator Transformer for Large-Scale PDE Pre-Training
Hong Wang
Haiyang Xin
Jie Wang
Xuanze Yang
Fei Zha
Huanshuo Dong
Yan Jiang
MoEAI4CE
732
4
0
29 Oct 2025
Neural Emulator Superiority: When Machine Learning for PDEs Surpasses its Training Data
Neural Emulator Superiority: When Machine Learning for PDEs Surpasses its Training Data
Felix Koehler
Nils Thuerey
185
2
0
27 Oct 2025
Sensing Without Colocation: Operator-Based Virtual Instrumentation for Domains Beyond Physical Reach
Sensing Without Colocation: Operator-Based Virtual Instrumentation for Domains Beyond Physical Reach
Jay Phil Yoo
Kazuma Kobayashi
S. Chakraborty
S. B. Alam
176
0
0
20 Oct 2025
Efficient High-Accuracy PDEs Solver with the Linear Attention Neural Operator
Efficient High-Accuracy PDEs Solver with the Linear Attention Neural Operator
Ming Zhong
Zhenya Yan
AI4CE
146
0
0
19 Oct 2025
MaNGO - Adaptable Graph Network Simulators via Meta-Learning
MaNGO - Adaptable Graph Network Simulators via Meta-Learning
Philipp Dahlinger
Tai Hoang
Denis Blessing
Niklas Freymuth
Gerhard Neumann
AI4CE
287
2
0
07 Oct 2025
Lang-PINN: From Language to Physics-Informed Neural Networks via a Multi-Agent Framework
Lang-PINN: From Language to Physics-Informed Neural Networks via a Multi-Agent Framework
Xin He
Liangliang You
Hongduan Tian
Bo Han
Ivor Tsang
Yew-Soon Ong
PINNAI4CE
249
3
0
03 Oct 2025
RheOFormer: A generative transformer model for simulation of complex fluids and flows
RheOFormer: A generative transformer model for simulation of complex fluids and flows
Maedeh Saberi
Amir Barati Farimani
Safa Jamali
AI4CE
158
0
0
01 Oct 2025
PDE Solvers Should Be Local: Fast, Stable Rollouts with Learned Local Stencils
PDE Solvers Should Be Local: Fast, Stable Rollouts with Learned Local Stencils
Chun-Wun Cheng
Bin Dong
Carola-Bibiane Schönlieb
Angelica I Aviles-Rivero
AI4CE
174
0
0
30 Sep 2025
Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling
Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling
Siva Viknesh
Amirhossein Arzani
AI4CE
146
1
0
30 Sep 2025
SoC-DT: Standard-of-Care Aligned Digital Twins for Patient-Specific Tumor Dynamics
SoC-DT: Standard-of-Care Aligned Digital Twins for Patient-Specific Tumor Dynamics
Moinak Bhattacharya
Gagandeep Singh
Prateek Prasanna
196
0
0
29 Sep 2025
Improving Long-term Autoregressive Spatiotemporal Predictions: A Proof of Concept with Fluid Dynamics
Improving Long-term Autoregressive Spatiotemporal Predictions: A Proof of Concept with Fluid DynamicsComputer Methods in Applied Mechanics and Engineering (CMAME), 2025
Hao Zhou
Sibo Cheng
AI4CE
228
3
0
25 Aug 2025
From Prediction to Simulation: AlphaFold 3 as a Differentiable Framework for Structural Biology
From Prediction to Simulation: AlphaFold 3 as a Differentiable Framework for Structural Biology
Alireza Abbaszadeh
Armita Shahlaee
AI4CE
205
1
0
25 Aug 2025
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks
Yongsheng Chen
Wei Guo
Qi Tang
Xinghui Zhong
198
0
0
16 Aug 2025
TANGO: Graph Neural Dynamics via Learned Energy and Tangential Flows
TANGO: Graph Neural Dynamics via Learned Energy and Tangential Flows
Moshe Eliasof
E. Haber
Carola-Bibiane Schönlieb
179
0
0
07 Aug 2025
MASIV: Toward Material-Agnostic System Identification from Videos
MASIV: Toward Material-Agnostic System Identification from Videos
Yizhou Zhao
Haoyu Chen
Chunjiang Liu
Zhenyang Li
Charles Herrmann
Junhwa Hur
Yinxiao Li
Ming-Hsuan Yang
Bhiksha Raj
Min Xu
PINN
237
3
0
01 Aug 2025
Light-Weight Diffusion Multiplier and Uncertainty Quantification for Fourier Neural Operators
Light-Weight Diffusion Multiplier and Uncertainty Quantification for Fourier Neural Operators
Albert Matveev
Sanmitra Ghosh
Aamal Hussain
James-Michael Leahy
Michalis Michaelides
AI4CE
294
5
0
01 Aug 2025
Separated-Variable Spectral Neural Networks: A Physics-Informed Learning Approach for High-Frequency PDEs
Separated-Variable Spectral Neural Networks: A Physics-Informed Learning Approach for High-Frequency PDEs
Xiong Xiong
Zhuo Zhang
Rongchun Hu
Chen Gao
Zichen Deng
187
1
0
01 Aug 2025
Bubbleformer: Forecasting Boiling with Transformers
Bubbleformer: Forecasting Boiling with Transformers
Sheikh Md Shakeel Hassan
Xianwei Zou
A. Dhruv
Vishwanath Ganesan
Aparna Chandramowlishwaran
AI4CE
421
1
0
28 Jul 2025
Data-driven Mori-Zwanzig modeling of Lagrangian particle dynamics in turbulent flows
Data-driven Mori-Zwanzig modeling of Lagrangian particle dynamics in turbulent flows
Xander M. de Wit
Alessandro Gabbana
M. Woodward
Yen Ting Lin
Federico Toschi
Daniel Livescu
AI4CE
181
1
0
21 Jul 2025
Accelerating HEC-RAS: A Recurrent Neural Operator for Rapid River Forecasting
Accelerating HEC-RAS: A Recurrent Neural Operator for Rapid River Forecasting
Edward Holmberg
Pujan Pokhrel
Maximilian Zoch
Elias Ioup
Ken Pathak
...
Jay Ratcliff
Maik Flanagin
Christian Guetl
J. Simeonov
Mahdi Abdelguerfi
AI4CE
127
0
0
21 Jul 2025
BioAnalyst: A Foundation Model for Biodiversity
BioAnalyst: A Foundation Model for Biodiversity
Athanasios Trantas
Martino Mensio
Stylianos Stasinos
Sebastian Gribincea
Taimur Khan
Damian Podareanu
Aliene van der Veen
125
2
0
11 Jul 2025
Towards Robust Surrogate Models: Benchmarking Machine Learning Approaches to Expediting Phase Field Simulations of Brittle Fracture
Towards Robust Surrogate Models: Benchmarking Machine Learning Approaches to Expediting Phase Field Simulations of Brittle Fracture
Erfan Hamdi
Emma Lejeune
OODAI4CE
330
2
0
09 Jul 2025
Lost in Latent Space: An Empirical Study of Latent Diffusion Models for Physics Emulation
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
380
10
0
03 Jul 2025
GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations
GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations
Milad Ramezankhani
Janak M. Patel
A. Deodhar
Dagnachew Birru
AI4CE
253
2
0
16 Jun 2025
OmniFluids: Physics Pre-trained Modeling of Fluid Dynamics
OmniFluids: Physics Pre-trained Modeling of Fluid Dynamics
Rui Zhang
Qi Meng
Han Wan
Yang Liu
Zhi-Ming Ma
Hao Sun
AI4CE
361
0
0
12 Jun 2025
Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning
Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning
Julius Berner
Miguel Liu-Schiaffini
Jean Kossaifi
Valentin Duruisseaux
Boris Bonev
Kamyar Azizzadenesheli
A. Anandkumar
AI4CE
415
7
0
12 Jun 2025
FA-INR: Adaptive Implicit Neural Representations for Interpretable Exploration of Simulation Ensembles
FA-INR: Adaptive Implicit Neural Representations for Interpretable Exploration of Simulation Ensembles
Ziwei Li
Yuhan Duan
Tianyu Xiong
Yi-Tang Chen
Wei-Lun Chao
H. Shen
AI4CE
286
1
0
07 Jun 2025
Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanics
Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanics
Tobias Würth
Niklas Freymuth
Gerhard Neumann
Luise Kärger
DiffMAI4CE
520
3
0
06 Jun 2025
Topology-aware Neural Flux Prediction Guided by Physics
Topology-aware Neural Flux Prediction Guided by Physics
Haoyang Jiang
James Evans
Xingquan Zhu
Yi He
AI4CE
288
0
0
06 Jun 2025
Geometric and Physical Constraints Synergistically Enhance Neural PDE Surrogates
Geometric and Physical Constraints Synergistically Enhance Neural PDE Surrogates
Yunfei Huang
David S. Greenberg
AI4CE
205
1
0
05 Jun 2025
Hierarchical Implicit Neural Emulators
Hierarchical Implicit Neural Emulators
Ruoxi Jiang
Xiao Zhang
Karan Jakhar
Peter Y. Lu
Pedram Hassanzadeh
Michael Maire
Rebecca Willett
AI4CE
301
6
0
05 Jun 2025
AMBER: Adaptive Mesh Generation by Iterative Mesh Resolution Prediction
AMBER: Adaptive Mesh Generation by Iterative Mesh Resolution Prediction
Niklas Freymuth
Tobias Würth
Nicolas Schreiber
B. Gyenes
Andreas Boltres
...
Tai Hoang
Philipp Dahlinger
P. Becker
Luise Kärger
Gerhard Neumann
AI4CE
370
1
0
29 May 2025
Spectral-inspired Operator Learning with Limited Data and Unknown Physics
Spectral-inspired Operator Learning with Limited Data and Unknown Physics
Han Wan
Rui Zhang
Hao Sun
AI4CE
425
0
0
27 May 2025
Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems
Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems
Alexander Khrabry
Edward Startsev
Andrew Powis
Igor Kaganovich
AI4CE
344
2
0
24 May 2025
STFlow: Data-Coupled Flow Matching for Geometric Trajectory Simulation
STFlow: Data-Coupled Flow Matching for Geometric Trajectory Simulation
Kiet Bennema ten Brinke
Koen Minartz
Vlado Menkovski
AI4CE
282
2
0
24 May 2025
Governing Equation Discovery from Data Based on Differential Invariants
Governing Equation Discovery from Data Based on Differential Invariants
Lexiang Hu
Yikang Li
Zhouchen Lin
413
0
0
24 May 2025
Guided Diffusion Sampling on Function Spaces with Applications to PDEs
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
359
20
0
22 May 2025
Multi-Level Monte Carlo Training of Neural Operators
Multi-Level Monte Carlo Training of Neural Operators
James Rowbottom
Stefania Fresca
Pietro Lio
Carola-Bibiane Schönlieb
Nicolas Boullé
AI4CE
437
3
0
19 May 2025
CodePDE: An Inference Framework for LLM-driven PDE Solver Generation
CodePDE: An Inference Framework for LLM-driven PDE Solver Generation
Shanda Li
Tanya Marwah
Junhong Shen
W. Sun
Andrej Risteski
Yiming Yang
Ameet Talwalkar
AI4CE
313
21
0
13 May 2025
PC-SRGAN: Physically Consistent Super-Resolution Generative Adversarial Network for General Transient Simulations
PC-SRGAN: Physically Consistent Super-Resolution Generative Adversarial Network for General Transient SimulationsIEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2025
Md Rakibul Hasan
Pouria Behnoudfar
Dan MacKinlay
Thomas Poulet
GAN
501
2
0
10 May 2025
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