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Pretrained diffusion models have demonstrated strong capabilities in zero-shot inverse problem solving by incorporating observation information into the generation process of the diffusion models. However, this presents an inherent dilemma:…

Machine Learning · Computer Science 2026-05-05 Xun Su , Hiroyuki Kasai

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

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

In this paper, we propose a novel framework for solving high-definition video inverse problems using latent image diffusion models. Building on recent advancements in spatio-temporal optimization for video inverse problems using image…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Taesung Kwon , Jong Chul Ye

Diffusion models have recently shown considerable potential in solving Bayesian inverse problems when used as priors. However, sampling from the resulting denoising posterior distributions remains a challenge as it involves intractable…

Machine Learning · Statistics 2024-12-25 Badr Moufad , Yazid Janati , Lisa Bedin , Alain Durmus , Randal Douc , Eric Moulines , Jimmy Olsson

Reconstructing high-fidelity magnetic resonance (MR) images from under-sampled k-space is a commonly used strategy to reduce scan time. The posterior sampling of diffusion models based on the real measurement data holds significant promise…

Image and Video Processing · Electrical Eng. & Systems 2024-07-04 Jiayue Chu , Chenhe Du , Xiyue Lin , Yuyao Zhang , Hongjiang Wei

A conditional latent-diffusion based framework for solving the electromagnetic inverse scattering problem associated with microwave imaging is introduced. This generative machine-learning model explicitly mirrors the non-uniqueness of the…

Image and Video Processing · Electrical Eng. & Systems 2025-10-30 Shirin Chehelgami , Joe LoVetri , Vahab Khoshdel

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

Enforcing alignment between the internal representations of diffusion or flow-based generative models and those of pretrained self-supervised encoders has recently been shown to provide a powerful inductive bias, improving both convergence…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Loukas Sfountouris , Giannis Daras , Paris Giampouras

Plug-and-play Image Restoration (IR) has been widely recognized as a flexible and interpretable method for solving various inverse problems by utilizing any off-the-shelf denoiser as the implicit image prior. However, most existing methods…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Yuanzhi Zhu , Kai Zhang , Jingyun Liang , Jiezhang Cao , Bihan Wen , Radu Timofte , Luc Van Gool

Ptychography is a data-intensive computational imaging technique that achieves high spatial resolution over large fields of view. The technique involves scanning a coherent beam across overlapping regions and recording diffraction patterns.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-14 Refik Mert Cam , Junjing Deng , Rajkumar Kettimuthu , Mathew J. Cherukara , Tekin Bicer

Inference-time controllable generation is essential for real-world applications of unconditional diffusion models. However, most existing techniques focus on individual samples, struggling in applications that require the sample population…

Machine Learning · Computer Science 2026-05-11 Hao Luan , See-Kiong Ng , Chun Kai Ling

Diffusion models are able to generate photorealistic images in arbitrary scenes. However, when applying diffusion models to image translation, there exists a trade-off between maintaining spatial structure and high-quality content. Besides,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Shiqi Sun , Shancheng Fang , Qian He , Wei Liu

Diffusion models have recently been shown to excel in many image reconstruction tasks that involve inverse problems based on a forward measurement operator. A common framework uses task-agnostic unconditional models that are later…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Alper Güngör , Bahri Batuhan Bilecen , Tolga Çukur

Despite promising progress in face swapping task, realistic swapped images remain elusive, often marred by artifacts, particularly in scenarios involving high pose variation, color differences, and occlusion. To address these issues, we…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Sanoojan Baliah , Qinliang Lin , Shengcai Liao , Xiaodan Liang , Muhammad Haris Khan

Recent works in inverse rendering have shown promise in using multi-view images of an object to recover shape, albedo, and materials. However, the recovered components often fail to render accurately under new lighting conditions due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Yehonathan Litman , Or Patashnik , Kangle Deng , Aviral Agrawal , Rushikesh Zawar , Fernando De la Torre , Shubham Tulsiani

Image inversion is a fundamental task in generative models, aiming to map images back to their latent representations to enable downstream applications such as editing, restoration, and style transfer. This paper provides a comprehensive…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Yinan Chen , Jiangning Zhang , Yali Bi , Xiaobin Hu , Teng Hu , Zhucun Xue , Ran Yi , Yong Liu , Ying Tai

Diffusion Models (DMs) have demonstrated state-of-the-art performance in content generation without requiring adversarial training. These models are trained using a two-step process. First, a forward - diffusion - process gradually adds…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Anwaar Ulhaq , Naveed Akhtar

In this article we study inverse problems of recovering a space-time dependent source component from the lateral boundary observation in a subidffusion model. The mathematical model involves a Djrbashian-Caputo fractional derivative of…

Numerical Analysis · Mathematics 2021-05-19 Bangti Jin , Yavar Kian , Zhi Zhou

Recent studies demonstrate that diffusion models can serve as a strong prior for solving inverse problems. A prominent example is Diffusion Posterior Sampling (DPS), which approximates the posterior distribution of data given the measure…

Machine Learning · Statistics 2024-09-16 Yaxuan Zhu , Zehao Dou , Haoxin Zheng , Yasi Zhang , Ying Nian Wu , Ruiqi Gao