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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 have been used as priors for solving inverse problems. However, existing approaches typically overlook side information that could significantly improve reconstruction quality, especially in severely ill-posed settings. In…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Mahdi Farahbakhsh , Vishnu Teja Kunde , Dileep Kalathil , Krishna Narayanan , Jean-Francois Chamberland

Image Restoration (IR) methods based on a pre-trained diffusion model have demonstrated state-of-the-art performance. However, they have two fundamental limitations: 1) they often assume that the degradation operator is completely known and…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Hamadi Chihaoui , Abdelhak Lemkhenter , Paolo Favaro

In recent years, large-scale pre-trained diffusion models have demonstrated their outstanding capabilities in image and video generation tasks. However, existing models tend to produce visual objects commonly found in the training dataset,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Changgu Chen , Libing Yang , Xiaoyan Yang , Lianggangxu Chen , Gaoqi He , CHangbo Wang , Yang Li

Diffusion models have become a popular approach for image generation and reconstruction due to their numerous advantages. However, most diffusion-based inverse problem-solving methods only deal with 2D images, and even recently published 3D…

Image and Video Processing · Electrical Eng. & Systems 2023-09-04 Suhyeon Lee , Hyungjin Chung , Minyoung Park , Jonghyuk Park , Wi-Sun Ryu , Jong Chul Ye

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

We propose a new method for solving imaging inverse problems using text-to-image latent diffusion models as general priors. Existing methods using latent diffusion models for inverse problems typically rely on simple null text prompts,…

Machine Learning · Computer Science 2023-10-03 Hyungjin Chung , Jong Chul Ye , Peyman Milanfar , Mauricio Delbracio

Imitation learning has emerged as a promising approach for addressing sequential decision-making problems, with the assumption that expert demonstrations are optimal. However, in real-world scenarios, most demonstrations are often…

Machine Learning · Computer Science 2024-08-07 Yunke Wang , Minjing Dong , Yukun Zhao , Bo Du , Chang Xu

Hiding data using neural networks (i.e., neural steganography) has achieved remarkable success across both discriminative classifiers and generative adversarial networks. However, the potential of data hiding in diffusion models remains…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Haoyu Chen , Yunqiao Yang , Nan Zhong , Kede Ma

Diffusion models can learn strong image priors from underlying data distribution and use them to solve inverse problems, but the training process is computationally expensive and requires lots of data. Such bottlenecks prevent most existing…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Jason Hu , Bowen Song , Xiaojian Xu , Liyue Shen , Jeffrey A. Fessler

Video inpainting is the task of filling a region in a video in a visually convincing manner. It is very challenging due to the high dimensionality of the data and the temporal consistency required for obtaining convincing results. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Nicolas Cherel , Andrés Almansa , Yann Gousseau , Alasdair Newson

Diffusion models are now commonly used to solve inverse problems in computational imaging. However, most diffusion-based inverse solvers require complete knowledge of the forward operator to be used. In this work, we introduce a novel…

Image and Video Processing · Electrical Eng. & Systems 2025-09-22 Yuanyun Hu , Evan Bell , Guijin Wang , Yu Sun

We propose self-diffusion, a novel framework for solving inverse problems without relying on pretrained generative models. Traditional diffusion-based approaches require training a model on a clean dataset to learn to reverse the forward…

Machine Learning · Computer Science 2025-12-09 Guanxiong Luo , Shoujin Huang , Yanlong Yang

Diffusion-based inpainting can reconstruct missing image areas with high quality from sparse data, provided that their location and their values are well optimised. This is particularly useful for applications such as image compression,…

Image and Video Processing · Electrical Eng. & Systems 2023-03-24 Pascal Peter , Karl Schrader , Tobias Alt , Joachim Weickert

Diffusion models have achieved remarkable success in image generation and editing tasks. Inversion within these models aims to recover the latent noise representation for a real or generated image, enabling reconstruction, editing, and…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Zixiang Li , Haoyu Wang , Wei Wang , Chuangchuang Tan , Yunchao Wei , Yao Zhao

Solving ill-posed inverse problems requires careful formulation of prior beliefs over the signals of interest and an accurate description of their manifestation into noisy measurements. Handcrafted signal priors based on e.g. sparsity are…

Machine Learning · Computer Science 2025-08-14 Tristan S. W. Stevens , Hans van Gorp , Faik C. Meral , Junseob Shin , Jason Yu , Jean-Luc Robert , Ruud J. G. van Sloun

Solving non-convex regularized inverse problems is challenging due to their complex optimization landscapes and multiple local minima. However, these models remain widely studied as they often yield high-quality, task-oriented solutions,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-14 Elena Morotti

Imaging inverse problems can be solved in an unsupervised manner using pre-trained diffusion models, but doing so requires approximating the gradient of the measurement-conditional score function in the diffusion reverse process. We show…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Matt C. Bendel , Saurav K. Shastri , Rizwan Ahmad , Philip Schniter

Inverse problems involve making inference about unknown parameters of a physical process using observational data. This paper investigates an important class of inverse problems -- the estimation of the initial condition of a…

Methodology · Statistics 2023-02-09 Xiao Liu , Kyongmin Yeo

This paper proposes a physics-informed neural operator (PINO) framework for solving inverse scattering problems, enabling rapid and accurate reconstructions under diverse measurement conditions. In the proposed approach, the dielectric…

Computational Physics · Physics 2026-03-27 Q. C. Dong , Zi-Xuan Su , Qing Huo Liu , Wen Chen , Zhizhang , Chen