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The reconstruction of unsteady flow fields from limited measurements is a challenging and crucial task for many engineering applications. Machine learning models are gaining popularity for solving this problem due to their ability to learn…

Fluid Dynamics · Physics 2026-01-09 Marc Amorós-Trepat , Luis Medrano-Navarro , Qiang Liu , Luca Guastoni , Nils Thuerey

Standard diffusion models are flexible estimators of complex distributions, but they do not encode causal structures and therefore do not by themselves support causal analysis. We propose a causality-encoded diffusion framework that…

Methodology · Statistics 2026-04-24 Li Chen , Xiaotong Shen , Wei Pan

Inverse problems exist in many disciplines of science and engineering. In computer vision, for example, tasks such as inpainting, deblurring, and super resolution can be effectively modeled as inverse problems. Recently, denoising diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Shayan Mohajer Hamidi , En-Hui Yang

Inverse problems describe the process of estimating the causal factors from a set of measurements or data. Mapping of often incomplete or degraded data to parameters is ill-posed, thus data-driven iterative solutions are required, for…

Artificial Intelligence · Computer Science 2024-06-21 Weitong Zhang , Chengqi Zang , Liu Li , Sarah Cechnicka , Cheng Ouyang , Bernhard Kainz

Using image models naively for solving inverse video problems often suffers from flickering, texture-sticking, and temporal inconsistency in generated videos. To tackle these problems, in this paper, we view frames as continuous functions…

Computer Vision and Pattern Recognition · Computer Science 2024-10-23 Giannis Daras , Weili Nie , Karsten Kreis , Alex Dimakis , Morteza Mardani , Nikola Borislavov Kovachki , Arash Vahdat

Recent advances in diffusion models show promising potential to accelerate nonconvex problem solving by leveraging their multimodality. However, most existing diffusion-based optimization approaches rely on supervised learning and lack a…

Machine Learning · Computer Science 2026-05-29 Shutong Ding , Yimiao Zhou , Ke Hu , Xi Yao , Junchi Yan , Xiaoying Tang , Ye Shi

Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

Machine Learning · Computer Science 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

This paper presents a novel approach for denoising Electron Backscatter Diffraction (EBSD) patterns using diffusion models. We propose a two-stage training process with a UNet-based architecture, incorporating an auxiliary regression head…

Image and Video Processing · Electrical Eng. & Systems 2025-09-01 Nikolay Falaleev , Nikolai Orlov

Plug-and-play approaches to solving inverse problems such as restoration and super-resolution have recently benefited from Diffusion-based generative priors for natural as well as medical images. However, solutions often use the standard…

Image and Video Processing · Electrical Eng. & Systems 2025-04-29 Saikat Roy , Mahmoud Mostapha , Radu Miron , Matt Holbrook , Mariappan Nadar

Diffusion and flow-based models have enabled significant progress in generation tasks across various modalities and have recently found applications in predictive learning. However, unlike typical generation tasks that encourage sample…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yu Zhang , Xingzhuo Guo , Haoran Xu , Jialong Wu , Mingsheng Long

Implicit Neural Representations (INRs) are a learning-based approach to accelerate Magnetic Resonance Imaging (MRI) acquisitions, particularly in scan-specific settings when only data from the under-sampled scan itself are available.…

Image and Video Processing · Electrical Eng. & Systems 2024-12-11 Yamin Arefeen , Brett Levac , Zach Stoebner , Jonathan Tamir

Denoising diffusion models have driven significant progress in the field of Bayesian inverse problems. Recent approaches use pre-trained diffusion models as priors to solve a wide range of such problems, only leveraging inference-time…

Machine Learning · Statistics 2025-02-06 Yazid Janati , Badr Moufad , Mehdi Abou El Qassime , Alain Durmus , Eric Moulines , Jimmy Olsson

Diffusion models (DMs) are a class of generative models that allow sampling from a distribution learned over a training set. When applied to solving inverse problems, the reverse sampling steps are modified to approximately sample from a…

Image and Video Processing · Electrical Eng. & Systems 2025-05-27 Ismail Alkhouri , Shijun Liang , Cheng-Han Huang , Jimmy Dai , Qing Qu , Saiprasad Ravishankar , Rongrong Wang

Low-light image enhancement aims to improve the visibility of degraded images to better align with human visual perception. While diffusion-based methods have shown promising performance due to their strong generative capabilities. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 Jinhong He , Minglong Xue , Zhipu Liu , Mingliang Zhou , Aoxiang Ning , Palaiahnakote Shivakumara

Diffusion models have demonstrated remarkable efficacy in generating high-quality samples. Existing diffusion-based image restoration algorithms exploit pre-trained diffusion models to leverage data priors, yet they still preserve elements…

Image and Video Processing · Electrical Eng. & Systems 2024-08-07 Hongjie Wu , Linchao He , Mingqin Zhang , Dongdong Chen , Kunming Luo , Mengting Luo , Ji-Zhe Zhou , Hu Chen , Jiancheng Lv

Reinforcement Learning (RL) has recently been incorporated into diffusion models, e.g., tasks such as text-to-image. However, directly applying existing RL methods to diffusion-based image restoration models is suboptimal, as the objective…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Xiaogang Xu , Ruihang Chu , Jian Wang , Kun Zhou , Wenjie Shu , Harry Yang , Ser-Nam Lim , Hao Chen , Liang Lin

In electromagnetic inverse scattering, the goal is to reconstruct object permittivity using scattered waves. While deep learning has shown promise as an alternative to iterative solvers, it is primarily used in supervised frameworks which…

Recently, equivariant neural networks for policy learning have shown promising improvements in sample efficiency and generalization, however, their wide adoption faces substantial barriers due to implementation complexity. Equivariant…

Robotics · Computer Science 2025-12-22 Dian Wang , Boce Hu , Shuran Song , Robin Walters , Robert Platt

Erase inpainting, or object removal, aims to precisely remove target objects within masked regions while preserving the overall consistency of the surrounding content. Despite diffusion-based methods have made significant strides in the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Yi Liu , Hao Zhou , Wenxiang Shang , Ran Lin , Benlei Cui

Do contemporary diffusion models preserve the class geometry of hyperspherical data? Standard diffusion models rely on isotropic Gaussian noise in the forward process, inherently favoring Euclidean spaces. However, many real-world problems…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 Muskan Dosi , Chiranjeev Chiranjeev , Kartik Thakral , Mayank Vatsa , Richa Singh