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Multiple stains are usually used to highlight biological substances in biomedical image analysis. To decompose multiple stains for co-localization quantification, blind source separation is usually performed. Prior model-based stain…

Image and Video Processing · Electrical Eng. & Systems 2021-02-16 Xingyu Li

Recent advances in generative adversarial networks (GANs) have opened up the possibility of generating high-resolution photo-realistic images that were impossible to produce previously. The ability of GANs to sample from high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Arthur Conmy , Subhadip Mukherjee , Carola-Bibiane Schönlieb

Blind image deblurring plays a very important role in many vision and multimedia applications. Most existing works tend to introduce complex priors to estimate the sharp image structures for blur kernel estimation. However, it has been…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Risheng Liu , Yi He , Shichao Cheng , Xin Fan , Zhongxuan Luo

Subsampled blind deconvolution is the recovery of two unknown signals from samples of their convolution. To overcome the ill-posedness of this problem, solutions based on priors tailored to specific application have been developed in…

Information Theory · Computer Science 2015-11-23 Kiryung Lee , Yanjun Li , Marius Junge , Yoram Bresler

Pre-trained diffusion models have been successfully used as priors in a variety of linear inverse problems, where the goal is to reconstruct a signal from noisy linear measurements. However, existing approaches require knowledge of the…

Machine Learning · Computer Science 2023-06-28 Naoki Murata , Koichi Saito , Chieh-Hsin Lai , Yuhta Takida , Toshimitsu Uesaka , Yuki Mitsufuji , Stefano Ermon

Inverse scattering problems are inherently challenging, given the fact they are ill-posed and nonlinear. This paper presents a powerful deep learning-based approach that relies on generative adversarial networks to accurately and…

Image and Video Processing · Electrical Eng. & Systems 2024-02-19 Ehtasham Naseer , Ali Imran Sandhu , Muhammad Adnan Siddique , Waqas W. Ahmed , Mohamed Farhat , Ying Wu

We consider solving ill-posed imaging inverse problems without access to an explicit image prior or ground-truth examples. An overarching challenge in inverse problems is that there are many undesired images that fit to the observed…

Image and Video Processing · Electrical Eng. & Systems 2023-03-23 Angela F. Gao , Oscar Leong , He Sun , Katherine L. Bouman

Reproducing an all-in-focus image from an image with defocus regions is of practical value in many applications, eg, digital photography, and robotics. Using the output of some existing defocus map estimator, existing approaches first…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Guodong Xu , Chaoqiang Liu , Hui Ji

The traditional approach of hand-crafting priors (such as sparsity) for solving inverse problems is slowly being replaced by the use of richer learned priors (such as those modeled by generative adversarial networks, or GANs). In this work,…

Machine Learning · Computer Science 2018-10-09 Chinmay Hegde

Deep neural networks as image priors have been recently introduced for problems such as denoising, super-resolution and inpainting with promising performance gains over hand-crafted image priors such as sparsity and low-rank. Unlike learned…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Gauri Jagatap , Chinmay Hegde

Recovering sharper images from blurred observations, referred to as deconvolution, is an ill-posed problem where classical approaches often produce unsatisfactory results. In ground-based astronomy, combining multiple exposures to achieve…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Fausto Navarro , Daniel Hall , Tamas Budavari , Yashil Sukurdeep

The remarkable progress in neural-network-driven visual data generation, especially with neural rendering techniques like Neural Radiance Fields and 3D Gaussian splatting, offers a powerful alternative to GANs and diffusion models. These…

Computer Vision and Pattern Recognition · Computer Science 2024-11-14 Chengdong Dong , Vijayakumar Bhagavatula , Zhenyu Zhou , Ajay Kumar

A Generative Adversarial Network (GAN) with generator $G$ trained to model the prior of images has been shown to perform better than sparsity-based regularizers in ill-posed inverse problems. Here, we propose a new method of deploying a…

Machine Learning · Computer Science 2019-10-25 Ankit Raj , Yuqi Li , Yoram Bresler

Most of existing image denoising methods learn image priors from either external data or the noisy image itself to remove noise. However, priors learned from external data may not be adaptive to the image to be denoised, while priors…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Jun Xu , Lei Zhang , David Zhang

Generative diffusion models are becoming one of the most popular prior in image restoration (IR) tasks due to their remarkable ability to generate realistic natural images. Despite achieving satisfactory results, IR methods based on…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Di You , Pier Luigi Dragotti

Generative models have made significant progress in the tasks of modeling complex data distributions such as natural images. The introduction of Generative Adversarial Networks (GANs) and auto-encoders lead to the possibility of training on…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Tobias Hinz , Stefan Wermter

Bayesian inference is used extensively to quantify the uncertainty in an inferred field given the measurement of a related field when the two are linked by a mathematical model. Despite its many applications, Bayesian inference faces…

Machine Learning · Statistics 2020-03-31 Dhruv V. Patel , Assad A. Oberai

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Recovering high-dimensional statistical structure from limited measurements is a fundamental challenge in hyperspectral imaging, where capturing full-resolution data is often infeasible due to sensor, bandwidth, or acquisition constraints.…

Image and Video Processing · Electrical Eng. & Systems 2025-08-01 Jonathan Monsalve , Kumar Vijay Mishra

Generative adversarial networks (GANs) offer an effective solution to the image-to-image translation problem, thereby allowing for new possibilities in medical imaging. They can translate images from one imaging modality to another at a low…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Agnieszka Tomczak , Aarushi Gupta , Slobodan Ilic , Nassir Navab , Shadi Albarqouni