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Diffusion models (DMs) have shown promising results on single-image super-resolution and other image-to-image translation tasks. Benefiting from more computational resources and longer inference times, they are able to yield more realistic…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Yuanting Fan , Chengxu Liu , Nengzhong Yin , Changlong Gao , Xueming Qian

Image reconstruction from radio-frequency data is pivotal in ultrafast plane wave ultrasound imaging. Unlike the conventional delay-and-sum (DAS) technique, which relies on somewhat imprecise assumptions, deep learning-based methods perform…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Hengrong Lan , Zhiqiang Li , Qiong He , Jianwen Luo

Diffusion models have emerged as powerful learned priors for Bayesian inverse problems (BIPs). Diffusion-based solvers rely on a presumed likelihood for the observations in BIPs to guide the generation process. Likelihood misspecification…

Machine Learning · Computer Science 2026-05-12 Yiming Yang , Xiaoyuan Cheng , Yi He , Kaiyu Li , Wenxuan Yuan , Zhuo Sun

We introduce Generalized Discrete Diffusion from Snapshots (GDDS), a unified framework for discrete diffusion modeling that supports arbitrary noising processes over large discrete state spaces. Our formulation encompasses all existing…

Machine Learning · Statistics 2026-03-24 Oussama Zekri , Théo Uscidda , Nicolas Boullé , Anna Korba

Detectors often suffer from performance drop due to domain gap between training and testing data. Recent methods explore diffusion models applied to domain generalization (DG) and adaptation (DA) tasks, but still struggle with large…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Boyong He , Yuxiang Ji , Zhuoyue Tan , Liaoni Wu

Digital images are often degraded by soft effects such as lens flare, haze, shadows, and reflections, which reduce aesthetics even though the underlying pixels remain partially visible. The prevailing works address these degradations in…

Building generalized models that can solve many computer vision tasks simultaneously is an intriguing direction. Recent works have shown image itself can be used as a natural interface for general-purpose visual perception and demonstrated…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Yue Fan , Yongqin Xian , Xiaohua Zhai , Alexander Kolesnikov , Muhammad Ferjad Naeem , Bernt Schiele , Federico Tombari

Diffusion models have shown remarkable empirical success in sampling from rich multi-modal distributions. Their inference relies on numerically solving a certain differential equation. This differential equation cannot be solved in closed…

Machine Learning · Computer Science 2026-01-16 Khashayar Gatmiry , Sitan Chen , Adil Salim

Reverse sampling and score-distillation have emerged as main workhorses in recent years for image manipulation using latent diffusion models (LDMs). While reverse diffusion sampling often requires adjustments of LDM architecture or feature…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Jeongsol Kim , Geon Yeong Park , Jong Chul Ye

Generalized sampling is a recently developed linear framework for sampling and reconstruction in separable Hilbert spaces. It allows one to recover any element in any finite-dimensional subspace given finitely many of its samples with…

Numerical Analysis · Mathematics 2013-01-15 Ben Adcock , Anders C. Hansen , Clarice Poon

From a Bayesian perspective, score-based diffusion solves inverse problems through joint inference, embedding the likelihood with the prior to guide the sampling process. However, this formulation fails to explain its practical behavior:…

Artificial Intelligence · Computer Science 2026-05-13 Hao Chen , Renzheng Zhang , Scott S. Howard

Diffusion models have been used in cosmological applications as a generative model for fast simulations and to reconstruct underlying cosmological fields or astrophysical images from noisy data. These two tasks are often treated as…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-07 Supranta S. Boruah , Michael Jacob , Bhuvnesh Jain

Diffusion models (DMs) have demonstrated remarkable ability to generate diverse and high-quality images by efficiently modeling complex data distributions. They have also been explored as powerful generative priors for signal recovery,…

Machine Learning · Computer Science 2025-05-28 Anqi Tang , Youming Chen , Shuchen Xue , Zhaoqiang Liu

In diverse microscopy modalities, sensors measure only real-valued intensities. Additionally, the sensor readouts are affected by Poissonian-distributed photon noise. Traditional restoration algorithms typically aim to minimize the mean…

Computer Vision and Pattern Recognition · Computer Science 2023-07-31 Nadav Torem , Roi Ronen , Yoav Y. Schechner , Michael Elad

Reassembly tasks play a fundamental role in many fields and multiple approaches exist to solve specific reassembly problems. In this context, we posit that a general unified model can effectively address them all, irrespective of the input…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Gianluca Scarpellini , Stefano Fiorini , Francesco Giuliari , Pietro Morerio , Alessio Del Bue

Diffusion inversion is a task of recovering the noise of an image in a diffusion model, which is vital for controllable diffusion image editing. At present, diffusion inversion still remains a challenging task due to the lack of viable…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Ziyue Zhang , Luxi Lin , Xiaolin Hu , Chao Chang , HuaiXi Wang , Yiyi Zhou , Rongrong Ji

Diffusion Posterior Sampling(DPS) methodology is a novel framework that permits nonlinear CT reconstruction by integrating a diffusion prior and an analytic physical system model, allowing for one-time training for different applications.…

Image and Video Processing · Electrical Eng. & Systems 2024-07-19 Xiao Jiang , Shudong Li , Peiqing Teng , Grace Gang , J. Webster Stayman

Recently, diffusion models (DM) have been applied in magnetic resonance imaging (MRI) super-resolution (SR) reconstruction, exhibiting impressive performance, especially with regard to detailed reconstruction. However, the current DM-based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Guangyuan Li , Chen Rao , Juncheng Mo , Zhanjie Zhang , Wei Xing , Lei Zhao

While diffusion models demonstrate strong generative capabilities in image restoration (IR) tasks, their complex architectures and iterative processes limit their practical application compared to mainstream reconstruction-based general…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Xin Lu , Xueyang Fu , Jie Xiao , Zihao Fan , Yurui Zhu , Zheng-Jun Zha

Diffusion models have emerged as powerful generative tools with applications in computer vision and scientific machine learning (SciML), where they have been used to solve large-scale probabilistic inverse problems. Traditionally, these…