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Multi-modal foundation models are typically trained on millions of pairs of natural images and text captions, frequently obtained through web-crawling approaches. Although such models depict excellent generative capabilities, they do not…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 Pierre Chambon , Christian Bluethgen , Curtis P. Langlotz , Akshay Chaudhari

We propose alternatives to Bayesian a priori distributions that are frequently used in the study of inverse problems. Our aim is to construct priors that have similar good edge-preserving properties as total variation or Mumford-Shah priors…

Statistics Theory · Mathematics 2021-03-02 Hanne Kekkonen , Matti Lassas , Eero Saksman , Samuli Siltanen

Model-based optimization methods and discriminative learning methods have been the two dominant strategies for solving various inverse problems in low-level vision. Typically, those two kinds of methods have their respective merits and…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Kai Zhang , Wangmeng Zuo , Shuhang Gu , Lei Zhang

Modeling statistics of image priors is useful for image super-resolution, but little attention has been paid from the massive works of deep learning-based methods. In this work, we propose a Bayesian image restoration framework, where…

Image and Video Processing · Electrical Eng. & Systems 2022-04-05 Shangqi Gao , Xiahai Zhuang

Benchmark datasets used for image classification tend to have very low levels of label noise. When Bayesian neural networks are trained on these datasets, they often underfit, misrepresenting the aleatoric uncertainty of the data. A common…

Machine Learning · Computer Science 2024-03-05 Martin Marek , Brooks Paige , Pavel Izmailov

Recent advances in deep learning led to novel generative modeling techniques that achieve unprecedented quality in generated samples and performance in learning complex distributions in imaging data. These new models in medical image…

Computer Vision and Pattern Recognition · Computer Science 2018-06-15 Xiaoran Chen , Nick Pawlowski , Martin Rajchl , Ben Glocker , Ender Konukoglu

This work targets to construct a robust human pose prior. However, it remains a persistent challenge due to biomechanical constraints and diverse human movements. Traditional priors like VAEs and NDFs often exhibit shortcomings in realism…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Junzhe Lu , Jing Lin , Hongkun Dou , Ailing Zeng , Yue Deng , Yulun Zhang , Haoqian Wang

Ill-posed linear inverse problems arise frequently in various applications, from computational photography to medical imaging. A recent line of research exploits Bayesian inference with informative priors to handle the ill-posedness of such…

Machine Learning · Statistics 2023-10-27 Gabriel Cardoso , Yazid Janati El Idrissi , Sylvain Le Corff , Eric Moulines

Full Bayesian posteriors are rarely analytically tractable, which is why real-world Bayesian inference heavily relies on approximate techniques. Approximations generally differ from the true posterior and require diagnostic tools to assess…

Machine Learning · Statistics 2022-03-08 Luca Rendsburg , Agustinus Kristiadi , Philipp Hennig , Ulrike von Luxburg

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

Disease progression simulation is a crucial area of research that has significant implications for clinical diagnosis, prognosis, and treatment. One major challenge in this field is the lack of continuous medical imaging monitoring of…

Image and Video Processing · Electrical Eng. & Systems 2023-10-06 Kaizhao Liang , Xu Cao , Kuei-Da Liao , Tianren Gao , Wenqian Ye , Zhengyu Chen , Jianguo Cao , Tejas Nama , Jimeng Sun

Image segmentation is a central topic in image processing and computer vision and a key issue in many applications, e.g., in medical imaging, microscopy, document analysis and remote sensing. According to the human perception, image…

Numerical Analysis · Mathematics 2022-06-24 Laura Antonelli , Valentina De Simone , Daniela di Serafino

Blind image deblurring (BID) is an ill-posed inverse problem, usually addressed by imposing prior knowledge on the (unknown) image and on the blurring filter. Most of the work on BID has focused on natural images, using image priors based…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Marina Ljubenović , Mário A. T. Figueiredo

This article discusses the opportunities, applications and future directions of large-scale pre-trained models, i.e., foundation models, for analyzing medical images. Medical foundation models have immense potential in solving a wide range…

Image and Video Processing · Electrical Eng. & Systems 2023-11-23 Shaoting Zhang , Dimitris Metaxas

Despite the success of Generative Adversarial Networks (GANs) in image synthesis, applying trained GAN models to real image processing remains challenging. Previous methods typically invert a target image back to the latent space either by…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Jinjin Gu , Yujun Shen , Bolei Zhou

Denoising diffusion probabilistic models have been recently proposed to generate high-quality samples by estimating the gradient of the data density. The framework defines the prior noise as a standard Gaussian distribution, whereas the…

Machine Learning · Statistics 2022-02-22 Sang-gil Lee , Heeseung Kim , Chaehun Shin , Xu Tan , Chang Liu , Qi Meng , Tao Qin , Wei Chen , Sungroh Yoon , Tie-Yan Liu

Automatic segmentation methods based on deep learning have recently demonstrated state-of-the-art performance, outperforming the ordinary methods. Nevertheless, these methods are inapplicable for small datasets, which are very common in…

Image and Video Processing · Electrical Eng. & Systems 2020-05-29 Anna Kuzina , Evgenii Egorov , Evgeny Burnaev

Automatic segmentation methods based on deep learning have recently demonstrated state-of-the-art performance, outperforming the ordinary methods. Nevertheless, these methods are inapplicable for small datasets, which are very common in…

Image and Video Processing · Electrical Eng. & Systems 2019-08-16 Anna Kuzina , Evgenii Egorov , Evgeny Burnaev

Inverse problems arise across scientific and engineering domains, where the goal is to infer hidden parameters or physical fields from indirect and noisy observations. Classical approaches, such as variational regularization and Bayesian…

Machine Learning · Statistics 2025-12-03 Ali Mohammad-Djafari , Ning Chu , Li Wang

Bayesian neural networks attempt to combine the strong predictive performance of neural networks with formal quantification of uncertainty associated with the predictive output in the Bayesian framework. However, it remains unclear how to…

Machine Learning · Statistics 2022-01-12 Takuo Matsubara , Chris J. Oates , François-Xavier Briol