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We consider Bayesian linear regression with sparsity-inducing prior and design efficient sampling algorithms leveraging posterior contraction properties. A quasi-likelihood with Gaussian spike-and-slab (that is favorable both statistically…

Computation · Statistics 2023-07-13 Qijia Jiang

BACKGROUND AND PURPOSE: Deep learning has been demonstrated effective in many neuroimaging applications. However, in many scenarios, the number of imaging sequences capturing information related to small vessel disease lesions is…

We introduce the BREASE framework for the Bayesian analysis of randomized controlled trials with a binary treatment and a binary outcome. Approaching the problem from a causal inference perspective, we propose parameterizing the likelihood…

Methodology · Statistics 2024-11-26 Nicholas J. Irons , Carlos Cinelli

Network complexity and computational efficiency have become increasingly significant aspects of deep learning. Sparse deep learning addresses these challenges by recovering a sparse representation of the underlying target function by…

Machine Learning · Statistics 2024-08-22 Sanket Jantre , Shrijita Bhattacharya , Tapabrata Maiti

We develop a Bayesian approach to estimate weight matrices in spatial autoregressive (or spatial lag) models. Datasets in regional economic literature are typically characterized by a limited number of time periods T relative to spatial…

Econometrics · Economics 2022-08-03 Tamás Krisztin , Philipp Piribauer

Bayesian predictive inference provides a coherent description of entire predictive uncertainty through predictive distributions. We examine several widely used sparsity priors from the predictive (as opposed to estimation) inference…

Statistics Theory · Mathematics 2024-06-03 Veronika Rockova

To accomplish correct Bayesian inference from weak lensing shear data requires a complete statistical description of the data. The natural framework to do this is a Bayesian Hierarchical Model, which divides the chain of reasoning into…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-18 Alan Heavens , Justin Alsing , Andrew Jaffe , Till Hoffmann , Alina Kiessling , Benjamin Wandelt

Simulation-Based Inference (SBI) is a promising Bayesian inference framework that alleviates the need for analytic likelihoods to estimate posterior distributions. Recent advances using neural density estimators in SBI algorithms have…

Instrumentation and Methods for Astrophysics · Physics 2022-07-13 Justine Zeghal , François Lanusse , Alexandre Boucaud , Benjamin Remy , Eric Aubourg

Neural networks have revolutionized numerous fields, yet they remain vulnerable to a critical flaw: the tendency to learn implicit biases, spurious correlations between certain attributes and target labels in training data. These biases are…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Piyush Arora , Navlika Singh , Vasubhya Diwan , Pratik Mazumder

We introduce a Bayesian prior distribution, the Logit-Normal continuous analogue of the spike-and-slab (LN-CASS), which enables flexible parameter estimation and variable/model selection in a variety of settings. We demonstrate its use and…

Applications · Statistics 2018-10-04 William Thomson , Sara Jabbari , Angela Taylor , Wiebke Arlt , David Smith

We propose a deep clustering architecture alongside image segmentation for medical image analysis. The main idea is based on unsupervised learning to cluster images on severity of the disease in the subject's sample, and this image is then…

Image and Video Processing · Electrical Eng. & Systems 2020-05-28 Sharmin Pathan , Anant Tripathi

L1-norm regularized logistic regression models are widely used for analyzing data with binary response. In those analyses, fusing regression coefficients is useful for detecting groups of variables. This paper proposes a binomial logistic…

Methodology · Statistics 2023-12-15 Yuko Kakikawa , Shuichi Kawano

Machine learning models are commonly trained end-to-end and in a supervised setting, using paired (input, output) data. Examples include recent super-resolution methods that train on pairs of (low-resolution, high-resolution) images.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-10 Razvan V Marinescu , Daniel Moyer , Polina Golland

Most estimates for penalised linear regression can be viewed as posterior modes for an appropriate choice of prior distribution. Bayesian shrinkage methods, particularly the horseshoe estimator, have recently attracted a great deal of…

Methodology · Statistics 2017-11-06 Zemei Xu , Daniel F. Schmidt , Enes Makalic , Guoqi Qian , John L. Hopper

Lesions that appear hyperintense in both Fluid Attenuated Inversion Recovery (FLAIR) and T2-weighted magnetic resonance images (MRIs) of the human brain are common in the brains of the elderly population and may be caused by ischemia or…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Hans E. Atlason , Askell Love , Sigurdur Sigurdsson , Vilmundur Gudnason , Lotta M. Ellingsen

Deep learning has achieved significant advancements in medical image segmentation, but existing models still face challenges in accurately segmenting lesion regions. The main reason is that some lesion regions in medical images have unclear…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Lexin Fang , Yunyang Xu , Xiang Ma , Xuemei Li , Caiming Zhang

We present a method to segment MRI scans of the human brain into ischemic stroke lesion and normal tissues. We propose a neural network architecture in the form of a standard encoder-decoder where predictions are guided by a spatial…

Image and Video Processing · Electrical Eng. & Systems 2021-09-21 Alex Wong , Allison Chen , Yangchao Wu , Safa Cicek , Alexandre Tiard , Byung-Woo Hong , Stefano Soatto

This work is motivated by a study of a population of multiple sclerosis (MS) patients using dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI) to identify active brain lesions. At each visit, a contrast agent is administered…

Applications · Statistics 2013-06-25 Haochang Shou , Russell T. Shinohara , Han Liu , Daniel S. Reich , Ciprian M. Crainiceanu

Deep brain stimulation (DBS) has the potential to improve the quality of life of people with a variety of neurological diseases. A key challenge in DBS is in the placement of a stimulation electrode in the anatomical location that maximizes…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Camilo Bermudez , William Rodriguez , Yuankai Huo , Allison E. Hainline , Rui Li , Robert Shults , Pierre D. DHaese , Peter E. Konrad , Benoit M. Dawant , Bennett A. Landman

Brain aging is a regional phenomenon, a facet that remains relatively under-explored within the realm of brain age prediction research using machine learning methods. Voxel-level predictions can provide localized brain age estimates that…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Neha Gianchandani , Mahsa Dibaji , Johanna Ospel , Fernando Vega , Mariana Bento , M. Ethan MacDonald , Roberto Souza