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A Bayesian approach is used to estimate the covariance matrix of Gaussian data. Ideas from Gaussian graphical models and model selection are used to construct a prior for the covariance matrix that is a mixture over all decomposable graphs.…

Methodology · Statistics 2007-06-12 Helen Armstrong , Christopher K. Carter , Kevin F. Wong , Robert Kohn

Unsupervised lesion detection is a challenging problem that requires accurately estimating normative distributions of healthy anatomy and detecting lesions as outliers without training examples. Recently, this problem has received increased…

Image and Video Processing · Electrical Eng. & Systems 2020-05-04 Xiaoran Chen , Suhang You , Kerem Can Tezcan , Ender Konukoglu

Computed tomography (CT) reconstructs volumetric images using X-ray projection data acquired from multiple angles around an object. For low-dose or sparse-view CT scans, the classic image reconstruction algorithms often produce severe noise…

Medical Physics · Physics 2024-03-04 Wenxiang Cong , Wenjun Xia , Ge Wang

Despite the popularity and empirical success of patch-based nearest-neighbor and weighted majority voting approaches to medical image segmentation, there has been no theoretical development on when, why, and how well these nonparametric…

Computer Vision and Pattern Recognition · Computer Science 2015-10-07 George Chen , Devavrat Shah , Polina Golland

The typical approach for recovery of spatially correlated signals is regularized least squares with a coupled regularization term. In the Bayesian framework, this algorithm is seen as a maximum-a-posterior estimator whose postulated prior…

Information Theory · Computer Science 2018-05-31 Ali Bereyhi , Saeid Haghighatshoar , Ralf R. Müller

A review of Bayesian restoration of digital images based on Monte Carlo techniques is presented. The topics covered include Likelihood, Prior and Posterior distributions, Poisson, Binay symmetric channel, and Gaussian channel models of…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 K. P. N. Murthy , M. Janani , B. Shenbga Priya

We present a hierarchical Bayesian learning approach to infer jointly sparse parameter vectors from multiple measurement vectors. Our model uses separate conditionally Gaussian priors for each parameter vector and common gamma-distributed…

Machine Learning · Statistics 2024-05-27 Jan Glaubitz , Anne Gelb

Recent advances in deep learning have shown their ability to learn strong feature representations for images. The task of image clustering naturally requires good feature representations to capture the distribution of the data and…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Vignesh Prasad , Dipanjan Das , Brojeshwar Bhowmick

We consider the problem of sampling from a product-of-experts-type model that encompasses many standard prior and posterior distributions commonly found in Bayesian imaging. We show that this model can be easily lifted into a novel latent…

Image and Video Processing · Electrical Eng. & Systems 2026-04-16 Muhamed Kuric , Martin Zach , Andreas Habring , Michael Unser , Thomas Pock

In this paper, we consider the problem of blind signal and image separation using a sparse representation of the images in the wavelet domain. We consider the problem in a Bayesian estimation framework using the fact that the distribution…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Ali Mohammad-Djafari , Mahieddine Ichir

Photographs taken through a glass surface often contain an approximately linear superposition of reflected and transmitted layers. Decomposing an image into these layers is generally an ill-posed task and the use of an additional image…

Computer Vision and Pattern Recognition · Computer Science 2017-05-11 Ofer Springer , Yair Weiss

This paper reports a CPU-level real-time stereo matching method for surgical images (10 Hz on 640 * 480 image with a single core of i5-9400). The proposed method is built on the fast ''dense inverse searching'' algorithm, which estimates…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Jingwei Song , Qiuchen Zhu , Jianyu Lin , Maani Ghaffari

We consider the inpainting problem for noisy images. It is very challenge to suppress noise when image inpainting is processed. An image patches based nonlocal variational method is proposed to simultaneously inpainting and denoising in…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Wei Wan , Jun Liu

Markov random fields are common prior distributions used in Bayesian inverse imaging problems. In particular, difference priors assign probability distributions to differences between neighbouring pixels, such as Gaussian, Laplace, or…

Methodology · Statistics 2026-05-19 Jasper Marijn Everink

Inspired by the combination of feedforward and iterative computations in the virtual cortex, and taking advantage of the ability of denoising autoencoders to estimate the score of a joint distribution, we propose a novel approach to…

Computer Vision and Pattern Recognition · Computer Science 2017-08-22 Adriana Romero , Michal Drozdzal , Akram Erraqabi , Simon Jégou , Yoshua Bengio

Microscopy is one of the most essential imaging techniques in life sciences. High-quality images are required in order to solve (potentially life-saving) biomedical research problems. Many microscopy techniques do not achieve sufficient…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Joris Roels , Jan Aelterman , Jonas De Vylder , Hiep Luong , Yvan Saeys , Wilfried Philips

Deep learning has been used to improve photoacoustic (PA) image reconstruction. One major challenge is that errors cannot be quantified to validate predictions when ground truth is unknown. Validation is key to quantitative applications,…

Image and Video Processing · Electrical Eng. & Systems 2024-07-04 Ruibo Shang , Geoffrey P. Luke , Matthew O'Donnell

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

All imaging modalities such as computed tomography (CT), emission tomography and magnetic resonance imaging (MRI) require a reconstruction approach to produce an image. A common image processing task for applications that utilise those…

The paper addresses joint sparsity selection in the regression coefficient matrix and the error precision (inverse covariance) matrix for high-dimensional multivariate regression models in the Bayesian paradigm. The selected sparsity…

Methodology · Statistics 2022-01-19 Srijata Samanta , Kshitij Khare , George Michailidis
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