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Diffusion models have emerged as powerful generative frameworks by progressively adding noise to data through a forward process and then reversing this process to generate realistic samples. While these models have achieved strong…

Machine Learning · Computer Science 2025-03-04 Xingzhuo Guo , Yu Zhang , Baixu Chen , Haoran Xu , Jianmin Wang , Mingsheng Long

Diffusion models have recently demonstrated an impressive ability to address inverse problems in an unsupervised manner. While existing methods primarily focus on modifying the posterior sampling process, the potential of the forward…

Computer Vision and Pattern Recognition · Computer Science 2024-05-03 Gongye Liu , Haoze Sun , Jiayi Li , Fei Yin , Yujiu Yang

Diffusion probabilistic models (DPMs) have been shown to generate high-quality images without the need for delicate adversarial training. However, the current sampling process in DPMs is prone to violent shaking. In this paper, we present a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Xiyu Wang , Anh-Dung Dinh , Daochang Liu , Chang Xu

How do diffusion generative models convert pure noise into meaningful images? In a variety of pretrained diffusion models (including conditional latent space models like Stable Diffusion), we observe that the reverse diffusion process that…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Binxu Wang , John J. Vastola

In this paper, we propose an approach combining diffusion models and inverse problems for the reconstruction of circumstellar disk images. Our method builds upon the Rhapsodie framework for polarimetric imaging, substituting its classical…

Instrumentation and Methods for Astrophysics · Physics 2025-10-17 Quentin Villegas , Laurence Denneulin , Simon Prunet , André Ferrari , Nelly Pustelnik , Éric Thiébaut , Julian Tachella , Maud Langlois

Consistent improvement of image priors over the years has led to the development of better inverse problem solvers. Diffusion models are the newcomers to this arena, posing the strongest known prior to date. Recently, such models operating…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Ron Raphaeli , Sean Man , Michael Elad

Diffusion models have been recently employed to improve certified robustness through the process of denoising. However, the theoretical understanding of why diffusion models are able to improve the certified robustness is still lacking,…

Machine Learning · Computer Science 2022-11-02 Chaowei Xiao , Zhongzhu Chen , Kun Jin , Jiongxiao Wang , Weili Nie , Mingyan Liu , Anima Anandkumar , Bo Li , Dawn Song

Score-based diffusion models have significantly advanced generative deep learning for image processing. Measurement conditioned models have also been applied to inverse problems such as CT reconstruction. However, the conventional approach,…

Medical Physics · Physics 2025-02-24 Matthew Tivnan , Dufan Wu , Quanzheng Li

The recent wave of large-scale text-to-image diffusion models has dramatically increased our text-based image generation abilities. These models can generate realistic images for a staggering variety of prompts and exhibit impressive…

Machine Learning · Computer Science 2023-09-14 Alexander C. Li , Mihir Prabhudesai , Shivam Duggal , Ellis Brown , Deepak Pathak

Recovering signals from low-order moments is a fundamental yet notoriously difficult task in inverse problems. This recovery process often reduces to solving ill-conditioned systems of polynomial equations. In this work, we propose a new…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Rafi Beinhorn , Shay Kreymer , Amnon Balanov , Michael Cohen , Alon Zabatani , Tamir Bendory

Diffusion models have been demonstrated as strong priors for solving general inverse problems. Most existing Diffusion model-based Inverse Problem Solvers (DIS) employ a plug-and-play approach to guide the sampling trajectory with either…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Jiankun Zhao , Bowen Song , Liyue Shen

Diffusion models have emerged as powerful generative priors for high-dimensional inverse problems, yet learning them when only corrupted or noisy observations are available remains challenging. In this work, we propose a new method for…

Machine Learning · Computer Science 2025-12-23 Danial Hosseintabar , Fan Chen , Giannis Daras , Antonio Torralba , Constantinos Daskalakis

Flow-based generative models provide strong unconditional priors for inverse problems, but guiding their dynamics for conditional generation remains challenging. Recent work casts training-free conditional generation in flow models as an…

Image and Video Processing · Electrical Eng. & Systems 2026-02-02 George Webber , Alexander Denker , Riccardo Barbano , Andrew J Reader

Diffusion models have quickly risen in popularity for their ability to model complex distributions and perform effective posterior sampling. Unfortunately, the iterative nature of these generative models makes them computationally expensive…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Tristan S. W. Stevens , Oisín Nolan , Jean-Luc Robert , Ruud J. G. van Sloun

Diffusion probabilistic models excel at sampling new images from learned distributions. Originally motivated by drift-diffusion concepts from physics, they apply image perturbations such as noise and blur in a forward process that results…

Image and Video Processing · Electrical Eng. & Systems 2024-06-07 Pascal Peter

Generative models are powerful tools for sampling from a learned distribution $\mathcal{P}(Y \mid X)$, and inverse-design methods invert this map to find an input $x$ that produces a desired point output $y^*$. However, many design goals…

Machine Learning · Computer Science 2026-05-12 Ori Meidler , Shaul Tolkovsky , Or Zuk

Image restoration problems are typically ill-posed in the sense that each degraded image can be restored in infinitely many valid ways. To accommodate this, many works generate a diverse set of outputs by attempting to randomly sample from…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Noa Cohen , Hila Manor , Yuval Bahat , Tomer Michaeli

Can a diffusion model trained on bedrooms recover human faces? Diffusion models are widely used as priors for inverse problems, but standard approaches usually assume a high-fidelity model trained on data that closely match the unknown…

Machine Learning · Computer Science 2026-02-02 Jing Jia , Wei Yuan , Sifan Liu , Liyue Shen , Guanyang Wang

Phase retrieval is a nonlinear inverse problem that arises in a wide range of imaging modalities, from electron microscopy to Fourier ptychography. In particular, the reconstruction is facilitated when the sensing matrix is i.i.d. random,…

Diffusion models have shown remarkable promise for image restoration by leveraging powerful priors. Prominent methods typically frame the restoration problem within a Bayesian inference framework, which iteratively combines a denoising step…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Hongjie Wu , Mingqin Zhang , Linchao He , Ji-Zhe Zhou , Jiancheng Lv
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