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Score-based diffusion models achieve state-of-the-art performance for inverse problems, but their practical deployment is hindered by long inference times and cumbersome hyperparameter tuning. While pretrained diffusion models can be reused…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Julio Oscanoa , Irmak Sivgin , Cagan Alkan , Daniel Ennis , John Pauly , Mert Pilanci , Shreyas Vasanawala

The implementation of diffusion-based pansharpening task is predominantly constrained by its slow inference speed, which results from numerous sampling steps. Despite the existing techniques aiming to accelerate sampling, they often…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Shiqi Cao , Liangjian Deng , Shangqi Deng

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

This work addresses image restoration tasks through the lens of inverse problems using unpaired datasets. In contrast to traditional approaches -- which typically assume full knowledge of the forward model or access to paired degraded and…

Computer Vision and Pattern Recognition · Computer Science 2025-06-18 Giacomo Meanti , Thomas Ryckeboer , Michael Arbel , Julien Mairal

Blind image restoration remains a significant challenge in low-level vision tasks. Recently, denoising diffusion models have shown remarkable performance in image synthesis. Guided diffusion models, leveraging the potent generative priors…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Jun Xiao , Zihang Lyu , Hao Xie , Cong Zhang , Yakun Ju , Changjian Shui , Kin-Man Lam

Recovering high-dimensional signals from corrupted measurements is a central challenge in inverse problems. Recent advances in generative diffusion models have shown remarkable empirical success in providing strong data-driven priors, but…

Machine Learning · Computer Science 2025-09-26 Oscar Leong , Yann Traonmilin

This paper explores the utility of diffusion-based models for anomaly detection, focusing on their efficacy in identifying deviations in both compact and high-resolution datasets. Diffusion-based architectures, including Denoising Diffusion…

Machine Learning · Computer Science 2024-12-11 Aryan Bhosale , Samrat Mukherjee , Biplab Banerjee , Fabio Cuzzolin

Popularized by their strong image generation performance, diffusion and related methods for generative modeling have found widespread success in visual media applications. In particular, diffusion methods have enabled new approaches to data…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 Yibo Yang , Stephan Mandt

Text-to-image diffusion models have demonstrated unprecedented capabilities for flexible and realistic image synthesis. Nevertheless, these models rely on a time-consuming sampling procedure, which has motivated attempts to reduce their…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Rosco Hunter , Łukasz Dudziak , Mohamed S. Abdelfattah , Abhinav Mehrotra , Sourav Bhattacharya , Hongkai Wen

Diffusion models have recently emerged as powerful priors for solving inverse problems. While computed tomography (CT) is theoretically a linear inverse problem, it poses many practical challenges. These include correlated noise, artifact…

Image and Video Processing · Electrical Eng. & Systems 2026-02-24 Jiayang Shi , Daniel M. Pelt , K. Joost Batenburg

The recent years have seen a surge of interest in methods for imaging beyond the direct line of sight. The most prominent techniques rely on time-resolved optical impulse responses, obtained by illuminating a diffuse wall with an ultrashort…

Computer Vision and Pattern Recognition · Computer Science 2020-01-30 Javier Grau Chopite , Matthias B. Hullin , Michael Wand , Julian Iseringhausen

Recent studies on inverse problems have proposed posterior samplers that leverage the pre-trained diffusion models as powerful priors. These attempts have paved the way for using diffusion models in a wide range of inverse problems.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Sojin Lee , Dogyun Park , Inho Kong , Hyunwoo J. Kim

This paper considers the inverse problem of recovering state-dependent source terms in a reaction-diffusion system from overposed data consisting of the values of the state variables either at a fixed finite time (census-type data) or a…

Numerical Analysis · Mathematics 2020-08-26 Barbara Kaltenbacher , William Rundell

The recent use of diffusion prior, enhanced by pre-trained text-image models, has markedly elevated the performance of image super-resolution (SR). To alleviate the huge computational cost required by pixel-based diffusion SR, latent-based…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Feng Luo , Jinxi Xiang , Jun Zhang , Xiao Han , Wei Yang

Bayesian full waveform inversion (FWI) offers uncertainty-aware subsurface models; however, posterior sampling directly on observed seismic shot records is rarely practical at the field scale because each sample requires numerous…

Geophysics · Physics 2025-12-16 Mohammad H. Taufik , Tariq Alkhalifah

Inverse medium scattering is an ill-posed, nonlinear wave-based imaging problem arising in medical imaging, remote sensing, and non-destructive testing. Machine learning (ML) methods offer increased inference speed and flexibility in…

Computational Physics · Physics 2025-12-12 Olivia Tsang , Owen Melia , Vasileios Charisopoulos , Jeremy Hoskins , Yuehaw Khoo , Rebecca Willett

One of the main drawback of diffusion models is the slow inference time for image generation. Among the most successful approaches to addressing this problem are distillation methods. However, these methods require considerable…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Senmao Li , Taihang Hu , Joost van de Weijer , Fahad Shahbaz Khan , Tao Liu , Linxuan Li , Shiqi Yang , Yaxing Wang , Ming-Ming Cheng , Jian Yang

Diffusion models have found valuable applications in anomaly detection by capturing the nominal data distribution and identifying anomalies via reconstruction. Despite their merits, they struggle to localize anomalies of varying scales,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Justin Tebbe , Jawad Tayyub

By decomposing the image formation process into a sequential application of denoising autoencoders, diffusion models (DMs) achieve state-of-the-art synthesis results on image data and beyond. Additionally, their formulation allows for a…

Computer Vision and Pattern Recognition · Computer Science 2022-04-14 Robin Rombach , Andreas Blattmann , Dominik Lorenz , Patrick Esser , Björn Ommer

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