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2406.17763
Cited By

DiffusionPDE: Generative PDE-Solving Under Partial Observation

DiffusionPDE: Generative PDE-Solving Under Partial Observation

25 June 2024

Guandao Yang

Jeong Joon Park

ArXiv (abs)PDF HTML HuggingFace (25 upvotes)

Papers citing "DiffusionPDE: Generative PDE-Solving Under Partial Observation"

22 / 22 papers shown

Efficient Generative Transformer Operators For Million-Point PDEs

Efficient Generative Transformer Operators For Million-Point PDEs

Armand K. Koupai

Patrick Gallinari

60

0

0

04 Dec 2025

Beyond Loss Guidance: Using PDE Residuals as Spectral Attention in Diffusion Neural Operators

81

0

0

01 Dec 2025

Predicting partially observable dynamical systems via diffusion models with a multiscale inference scheme

Predicting partially observable dynamical systems via diffusion models with a multiscale inference scheme

Francesco Pio Ramunno

...

François Rozet

428

0

0

24 Nov 2025

Enforcing governing equation constraints in neural PDE solvers via training-free projections

Enforcing governing equation constraints in neural PDE solvers via training-free projections

124

0

0

21 Nov 2025

Operator Flow Matching for Timeseries Forecasting

Operator Flow Matching for Timeseries Forecasting

Yolanne Y. R. Lee

Kyriakos Flouris

219

0

0

16 Oct 2025

Incomplete Data, Complete Dynamics: A Diffusion Approach

Incomplete Data, Complete Dynamics: A Diffusion Approach

192

0

0

24 Sep 2025

PIRF: Physics-Informed Reward Fine-Tuning for Diffusion Models

PIRF: Physics-Informed Reward Fine-Tuning for Diffusion Models

139

0

0

24 Sep 2025

Learning Turbulent Flows with Generative Models: Super-resolution, Forecasting, and Sparse Flow Reconstruction

Learning Turbulent Flows with Generative Models: Super-resolution, Forecasting, and Sparse Flow Reconstruction

Siavash Khodakarami

George Karniadakis

158

3

0

10 Sep 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

247

7

0

03 Jul 2025

Resolving Turbulent Magnetohydrodynamics: A Hybrid Operator-Diffusion Framework

Resolving Turbulent Magnetohydrodynamics: A Hybrid Operator-Diffusion Framework

130

1

0

02 Jul 2025

FunDiff: Diffusion Models over Function Spaces for Physics-Informed Generative Modeling

FunDiff: Diffusion Models over Function Spaces for Physics-Informed Generative Modeling

278

10

0

09 Jun 2025

Snap-and-tune: combining deep learning and test-time optimization for high-fidelity cardiovascular volumetric meshing

Danny Bluestein

James S. Duncan

224

9

0

09 Jun 2025

Physics-Constrained Flow Matching: Sampling Generative Models with Hard Constraints

Physics-Constrained Flow Matching: Sampling Generative Models with Hard Constraints

Utkarsh Utkarsh

Rafael Gomez-Bombarelli

Christopher Rackauckas

286

11

0

04 Jun 2025

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction

Wilfried Genuist

Didier Clouteau

220

0

0

30 May 2025

Multiphysics Bench: Benchmarking and Investigating Scientific Machine Learning for Multiphysics PDEs

164

1

0

23 May 2025

Guided Diffusion Sampling on Function Spaces with Applications to PDEs

Guided Diffusion Sampling on Function Spaces with Applications to PDEs

Kamyar Azizzadenesheli

274

8

0

22 May 2025

PhySense: Sensor Placement Optimization for Accurate Physics Sensing

PhySense: Sensor Placement Optimization for Accurate Physics Sensing

506

0

0

19 May 2025

Well2Flow: Reconstruction of reservoir states from sparse wells using score-based generative models

Well2Flow: Reconstruction of reservoir states from sparse wells using score-based generative models

Felix J. Herrmann

230

0

0

07 Apr 2025

Text2PDE: Latent Diffusion Models for Accessible Physics Simulation

Text2PDE: Latent Diffusion Models for Accessible Physics SimulationInternational Conference on Learning Representations (ICLR), 2024

Michael Schneier

John R Buchanan Jr

Amir Barati Farimani

418

17

0

02 Oct 2024

Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling

Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling

George Karniadakis

442

28

0

13 Sep 2024

Conditional score-based diffusion models for solving inverse problems in
mechanics

Conditional score-based diffusion models for solving inverse problems in mechanicsComputer Methods in Applied Mechanics and Engineering (CMAME), 2024

Agnimitra Dasgupta

Harisankar Ramaswamy

Javier Murgoitio-Esandi

Brendan Kennedy

Assad A. Oberai

356

8

0

19 Jun 2024

Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems

Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems

465

13

0

18 Feb 2024