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We study posterior sampling for inverse problems in discrete state spaces using discrete diffusion models as generative priors. While continuous diffusion models have become widely used for inverse problems, their discrete counterparts…

Machine Learning · Computer Science 2026-05-12 Chaitanya Amballa , Sattwik Basu , Jorge Vančo Sampedro , Romit Roy Choudhury

Diffusion-based image generators are promising priors for ill-posed inverse problems like sparse-view X-ray Computed Tomography (CT). As most studies consider synthetic data, it is not clear whether training data mismatch (``domain shift'')…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Nelas J. Thomsen , Xinyuan Wang , Felix Lucka , Ezgi Demircan-Tureyen

Machine Learning (ML) models are widely employed to drive many modern data systems. While they are undeniably powerful tools, ML models often demonstrate imbalanced performance and unfair behaviors. The root of this problem often lies in…

Machine Learning · Computer Science 2023-08-10 Ke Yang , Alexandra Meliou

We consider solving ill-posed imaging inverse problems without access to an image prior or ground-truth examples. An overarching challenge in these inverse problems is that an infinite number of images, including many that are implausible,…

Image and Video Processing · Electrical Eng. & Systems 2023-11-02 Oscar Leong , Angela F. Gao , He Sun , Katherine L. Bouman

Diffusion models have achieved huge empirical success in data generation tasks. Recently, some efforts have been made to adapt the framework of diffusion models to discrete state space, providing a more natural approach for modeling…

Machine Learning · Statistics 2024-02-15 Hongrui Chen , Lexing Ying

Uncertainty estimation is critical for numerous applications of deep neural networks and draws growing attention from researchers. Here, we demonstrate an uncertainty quantification approach for deep neural networks used in inverse problems…

Computer Vision and Pattern Recognition · Computer Science 2023-12-15 Luzhe Huang , Jianing Li , Xiaofu Ding , Yijie Zhang , Hanlong Chen , Aydogan Ozcan

We explore the oscillatory behavior observed in inversion methods applied to large-scale text-to-image diffusion models, with a focus on the "Flux" model. By employing a fixed-point-inspired iterative approach to invert real-world images,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Yan Zheng , Zhenxiao Liang , Xiaoyan Cong , Lanqing guo , Yuehao Wang , Peihao Wang , Zhangyang Wang

Motion artifact reduction is one of the important research topics in MR imaging, as the motion artifact degrades image quality and makes diagnosis difficult. Recently, many deep learning approaches have been studied for motion artifact…

Image and Video Processing · Electrical Eng. & Systems 2023-01-10 Gyutaek Oh , Jeong Eun Lee , Jong Chul Ye

Image restoration, which aims to recover high-quality images from their corrupted counterparts, often faces the challenge of being an ill-posed problem that allows multiple solutions for a single input. However, most deep learning based…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Wenyi Lian , Wenjing Lian , Ziwei Luo

In distributed systems, communication is a major concern due to issues such as its vulnerability or efficiency. In this paper, we are interested in estimating sparse inverse covariance matrices when samples are distributed into different…

Methodology · Statistics 2016-10-04 Jesús Arroyo , Elizabeth Hou

Color plays an important role in human visual perception, reflecting the spectrum of objects. However, the existing infrared and visible image fusion methods rarely explore how to handle multi-spectral/channel data directly and achieve high…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Jun Yue , Leyuan Fang , Shaobo Xia , Yue Deng , Jiayi Ma

While many real-world data streams imply that they change frequently in a nonstationary way, most of deep learning methods optimize neural networks on training data, and this leads to severe performance degradation when dataset shift…

Machine Learning · Computer Science 2021-07-02 Wonju Lee , Seok-Yong Byun , Jooeun Kim , Minje Park , Kirill Chechil

Computational imaging plays a pivotal role in determining hidden information from sparse measurements. A robust inverse solver is crucial to fully characterize the uncertainty induced by these measurements, as it allows for the estimation…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Sirui Bi , Victor Fung , Jiaxin Zhang

Anomaly localization in images -- identifying regions that deviate from normal patterns -- is vital in applications such as medical diagnosis and industrial inspection. A recent trend is the use of image generation models in anomaly…

Machine Learning · Statistics 2026-04-28 Teruyuki Katsuoka , Tomohiro Shiraishi , Daiki Miwa , Vo Nguyen Le Duy , Ichiro Takeuchi

Deep learning-based diagnostic systems have demonstrated potential in skin disease diagnosis. However, their performance can easily degrade on test domains due to distribution shifts caused by input-level corruptions, such as imaging…

Image and Video Processing · Electrical Eng. & Systems 2024-05-21 Ming Hu , Siyuan Yan , Peng Xia , Feilong Tang , Wenxue Li , Peibo Duan , Lin Zhang , Zongyuan Ge

We propose a joint channel estimation and data detection algorithm for massive multilple-input multiple-output systems based on diffusion models. Our proposed method solves the blind inverse problem by sampling from the joint posterior…

Signal Processing · Electrical Eng. & Systems 2023-11-20 Nicolas Zilberstein , Ananthram Swami , Santiago Segarra

Diffusion models have emerged as powerful priors for solving inverse problems in computed tomography (CT). In certain applications, such as neutron CT, it can be expensive to collect large amounts of measurements even for a single scan,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Timofey Efimov , Singanallur Venkatakrishnan , Maliha Hossain , Haley Duba-Sullivan , Amirkoushyar Ziabari

We study a new family of inverse problems for recovering representations of corrupted data. We assume access to a pre-trained representation learning network R(x) that operates on clean images, like CLIP. The problem is to recover the…

Machine Learning · Computer Science 2021-10-28 Sriram Ravula , Georgios Smyrnis , Matt Jordan , Alexandros G. Dimakis

Performance monitoring is essential for safe clinical deployment of image classification models. However, because ground-truth labels are typically unavailable in the target dataset, direct assessment of real-world model performance is…

Machine Learning · Computer Science 2025-07-31 Tim Flühmann , Alceu Bissoto , Trung-Dung Hoang , Lisa M. Koch

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