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Diffusion models have recently emerged as powerful generative models in medical imaging. However, it remains a major challenge to combine these data-driven models with domain knowledge to guide brain imaging problems. In neuroimaging,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Ana Lawry Aguila , Dina Zemlyanker , You Cheng , Sudeshna Das , Daniel C. Alexander , Oula Puonti , Annabel Sorby-Adams , W. Taylor Kimberly , Juan Eugenio Iglesias

Diffusion models have emerged as the new state-of-the-art generative model with high quality samples, with intriguing properties such as mode coverage and high flexibility. They have also been shown to be effective inverse problem solvers,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Hyungjin Chung , Dohoon Ryu , Michael T. McCann , Marc L. Klasky , Jong Chul Ye

This paper delves into the study of 3D point cloud reconstruction from a single image. Our objective is to develop the Consistency Diffusion Model, exploring synergistic 2D and 3D priors in the Bayesian framework to ensure superior…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Chenru Jiang , Chengrui Zhang , Xi Yang , Jie Sun , Yifei Zhang , Bin Dong , Kaizhu Huang

We present Bayesian Diffusion Models (BDM), a prediction algorithm that performs effective Bayesian inference by tightly coupling the top-down (prior) information with the bottom-up (data-driven) procedure via joint diffusion processes. We…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Haiyang Xu , Yu Lei , Zeyuan Chen , Xiang Zhang , Yue Zhao , Yilin Wang , Zhuowen Tu

The interaction of a protein with its environment can be understood and controlled via its 3D structure. Experimental methods for protein structure determination, such as X-ray crystallography or cryogenic electron microscopy, shed light on…

Machine Learning · Computer Science 2025-04-24 Axel Levy , Eric R. Chan , Sara Fridovich-Keil , Frédéric Poitevin , Ellen D. Zhong , Gordon Wetzstein

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

This paper explores the use of score-based diffusion models for Bayesian image reconstruction. Diffusion models are an efficient tool for generative modeling. Diffusion models can also be used for solving image reconstruction problems. We…

Image and Video Processing · Electrical Eng. & Systems 2025-10-06 Michael T. McCann , Hyungjin Chung , Jong Chul Ye , Marc L. Klasky

While diffusion priors generate high-quality posterior samples across many inverse problems, they are often trained on limited training sets or purely simulated data, thus inheriting the errors and biases of these underlying sources.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Frederic Wang , Katherine L. Bouman

In recent years, 3D vision has become a crucial field within computer vision, powering a wide range of applications such as autonomous driving, robotics, augmented reality, and medical imaging. This field relies on accurate perception,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-02 Zhen Wang , Dongyuan Li , Yaozu Wu , Tianyu He , Jiang Bian , Renhe Jiang

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

Diffusion models have become increasingly popular for generative modeling due to their ability to generate high-quality samples. This has unlocked exciting new possibilities for solving inverse problems, especially in image restoration and…

Deconvolution of astronomical images is a key aspect of recovering the intrinsic properties of celestial objects, especially when considering ground-based observations. This paper explores the use of diffusion models (DMs) and the Diffusion…

Instrumentation and Methods for Astrophysics · Physics 2025-01-22 Alessio Spagnoletti , Alexandre Boucaud , Marc Huertas-Company , Wassim Kabalan , Biswajit Biswas

Diffusion models demonstrate state-of-the-art performance on image generation, and are gaining traction for sparse medical image reconstruction tasks. However, compared to classical reconstruction algorithms relying on simple analytical…

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

Denoising diffusion models have driven significant progress in the field of Bayesian inverse problems. Recent approaches use pre-trained diffusion models as priors to solve a wide range of such problems, only leveraging inference-time…

Machine Learning · Statistics 2025-02-06 Yazid Janati , Badr Moufad , Mehdi Abou El Qassime , Alain Durmus , Eric Moulines , Jimmy Olsson

Microstructure reconstruction, a major component of inverse computational materials engineering, is currently advancing at an unprecedented rate. While various training-based and training-free approaches are developed, the majority of…

Materials Science · Physics 2022-11-28 Christian Düreth , Paul Seibert , Dennis Rücker , Stephanie Handford , Markus Kästner , Maik Gude

Diffusion models have been increasingly used as strong generative priors for solving inverse problems such as super-resolution in medical imaging. However, these approaches typically utilize a diffusion prior trained at a single scale,…

Image and Video Processing · Electrical Eng. & Systems 2026-02-02 Darshan Thaker , Mahmoud Mostapha , Radu Miron , Shihan Qiu , Mariappan Nadar

In recent years, the ascendance of diffusion modeling as a state-of-the-art generative modeling approach has spurred significant interest in their use as priors in Bayesian inverse problems. However, it is unclear how to optimally integrate…

Optimization and Control · Mathematics 2025-08-28 Evan Scope Crafts , Umberto Villa

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

We propose a class of structured diffusion models, in which the prior distribution is chosen as a mixture of Gaussians, rather than a standard Gaussian distribution. The specific mixed Gaussian distribution, as prior, can be chosen to…

Machine Learning · Computer Science 2024-10-28 Nanshan Jia , Tingyu Zhu , Haoyu Liu , Zeyu Zheng
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