Guided Diffusion Sampling on Function Spaces with Applications to PDEs

22 May 2025

Kamyar Azizzadenesheli

A. Anandkumar

DiffM

ArXiv (abs)PDF HTML

Papers citing "Guided Diffusion Sampling on Function Spaces with Applications to PDEs"

33 / 33 papers shown

Title
EquiReg: Equivariance Regularized Diffusion for Inverse Problems Bahareh Tolooshams Aditi Chandrashekar Rayhan Zirvi Abbas Mammadov Jiachen Yao Chuwei Wang Anima Anandkumar DiffM 49 0 0 29 May 2025
Stochastic Process Learning via Operator Flow Matching Yaozhong Shi Zachary E. Ross D. Asimaki Kamyar Azizzadenesheli 151 2 0 10 Jan 2025
Geophysical inverse problems with measurement-guided diffusion models Matteo Ravasi DiffM 75 2 0 10 Jan 2025
Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach Qian Zhang Dmitry Krotov George Karniadakis AI4CE 80 2 0 02 Jan 2025
A Unified Framework for Forward and Inverse Problems in Subsurface Imaging using Latent Space Translations Naveen Gupta Medha Sawhney Arka Daw Youzuo Lin Anuj Karpatne MedIm AI4CE 94 3 0 15 Oct 2024
Discretization Error of Fourier Neural Operators S. Lanthaler Andrew M. Stuart Margaret Trautner 83 8 0 03 May 2024
Universal Functional Regression with Neural Operator Flows Yaozhong Shi Angela F. Gao Zachary E. Ross Kamyar Azizzadenesheli 89 4 0 03 Apr 2024
CoCoGen: Physically-Consistent and Conditioned Score-based Generative Models for Forward and Inverse Problems Christian L. Jacobsen Yilin Zhuang Karthik Duraisamy AI4CE SyDa DiffM 79 22 0 16 Dec 2023
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs Zhongkai Hao J. Yao Chang Su Hang Su Ziao Wang ... Zeyu Xia Yichi Zhang Songming Liu Lu Lu Jun Zhu PINN 88 34 0 15 Jun 2023
Functional Flow Matching Gavin Kerrigan Giosue Migliorini Padhraic Smyth 74 18 0 26 May 2023
Infinite-Dimensional Diffusion Models Jakiw Pidstrigach Youssef Marzouk Sebastian Reich Sven Wang 102 13 0 20 Feb 2023
Score-based Diffusion Models in Function Space Jae Hyun Lim Nikola B. Kovachki Ricardo Baptista Christopher Beckham Kamyar Azizzadenesheli ... Karsten Kreis Jan Kautz Christopher Pal Arash Vahdat Anima Anandkumar DiffM 168 48 0 14 Feb 2023
Diffusion Generative Models in Infinite Dimensions Gavin Kerrigan Justin Ley Padhraic Smyth DiffM 103 33 0 01 Dec 2022
Zero-Shot Image Restoration Using Denoising Diffusion Null-Space Model Yinhuai Wang Jiwen Yu Jian Zhang DiffM 113 458 0 01 Dec 2022
Diffusion Posterior Sampling for General Noisy Inverse Problems Hyungjin Chung Jeongsol Kim Michael T. McCann M. Klasky J. C. Ye DiffM 111 857 0 29 Sep 2022
Improving Diffusion Models for Inverse Problems using Manifold Constraints Hyungjin Chung Byeongsu Sim Dohoon Ryu J. C. Ye DiffM MedIm 118 471 0 02 Jun 2022
Elucidating the Design Space of Diffusion-Based Generative Models Tero Karras M. Aittala Timo Aila S. Laine DiffM 207 2,018 0 01 Jun 2022
Generative Adversarial Neural Operators Md Ashiqur Rahman Manuel A. Florez Anima Anandkumar Zachary E. Ross Kamyar Azizzadenesheli GAN 75 40 0 06 May 2022
Denoising Diffusion Restoration Models Bahjat Kawar Michael Elad Stefano Ermon Jiaming Song DiffM 278 842 0 27 Jan 2022
Come-Closer-Diffuse-Faster: Accelerating Conditional Diffusion Models for Inverse Problems through Stochastic Contraction Hyungjin Chung Byeongsu Sim Jong Chul Ye MedIm DiffM 117 354 0 09 Dec 2021
Physics-Informed Neural Operator for Learning Partial Differential Equations Zong-Yi Li Hongkai Zheng Nikola B. Kovachki David Jin Haoxuan Chen Burigede Liu Kamyar Azizzadenesheli Anima Anandkumar AI4CE 121 421 0 06 Nov 2021
Seismic wave propagation and inversion with Neural Operators Yan Yang Angela F. Gao J. Castellanos Zachary E. Ross Kamyar Azizzadenesheli R. Clayton 43 73 0 11 Aug 2021
Diffusion Models Beat GANs on Image Synthesis Prafulla Dhariwal Alex Nichol 244 7,933 0 11 May 2021
Improved Denoising Diffusion Probabilistic Models Alex Nichol Prafulla Dhariwal DiffM 352 3,715 0 18 Feb 2021
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 500 2,444 0 18 Oct 2020
Learning Mesh-Based Simulation with Graph Networks Tobias Pfaff Meire Fortunato Alvaro Sanchez-Gonzalez Peter W. Battaglia AI4CE 82 803 0 07 Oct 2020
Denoising Diffusion Probabilistic Models Jonathan Ho Ajay Jain Pieter Abbeel DiffM 669 18,276 0 19 Jun 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 248 2,150 0 08 Oct 2019
Generative Modeling by Estimating Gradients of the Data Distribution Yang Song Stefano Ermon SyDa DiffM 258 3,954 0 12 Jul 2019
Modeling the Dynamics of PDE Systems with Physics-Constrained Deep Auto-Regressive Networks N. Geneva N. Zabaras AI4CE 69 275 0 13 Jun 2019
fastMRI: An Open Dataset and Benchmarks for Accelerated MRI Jure Zbontar Florian Knoll Anuroop Sriram Tullie Murrell Zhengnan Huang ... Erich Owens C. L. Zitnick M. Recht D. Sodickson Yvonne W. Lui OOD 73 847 0 21 Nov 2018
Bayesian Deep Convolutional Encoder-Decoder Networks for Surrogate Modeling and Uncertainty Quantification Yinhao Zhu N. Zabaras UQCV BDL 111 645 0 21 Jan 2018
Geometric MCMC for Infinite-Dimensional Inverse Problems A. Beskos Mark Girolami Shiwei Lan P. Farrell Andrew M. Stuart 56 143 0 20 Jun 2016