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In high-dimensional Bayesian statistics, various methods have been developed, including prior distributions that induce parameter sparsity to handle many parameters. Yet, these approaches often overlook the rich spectral structure of the…

统计理论 · 数学 2025-05-06 Tomoya Wakayama , Masaaki Imaizumi

Gaussian covariance graph model is a popular model in revealing underlying dependency structures among random variables. A Bayesian approach to the estimation of covariance structures uses priors that force zeros on some off-diagonal…

统计方法学 · 统计学 2021-12-07 Bongjung Sung , Jaeyong Lee

Some statistical models are specified via a data generating process for which the likelihood function cannot be computed in closed form. Standard likelihood-based inference is then not feasible but the model parameters can be inferred by…

统计计算 · 统计学 2015-02-20 Michael U. Gutmann , Jukka Corander , Ritabrata Dutta , Samuel Kaski

Pathological structures in medical images are typically deviations from the expected anatomy of a patient. While clinicians consider this interplay between anatomy and pathology, recent deep learning algorithms specialize in recognizing…

A nonparanormal graphical model is a semiparametric generalization of a Gaussian graphical model for continuous variables in which it is assumed that the variables follow a Gaussian graphical model only after some unknown smooth monotone…

统计方法学 · 统计学 2021-02-23 Jami J. Mulgrave , Subhashis Ghosal

In this paper we address the uncertainty issues involved in the low-level vision task of image segmentation. Researchers in computer vision have worked extensively on this problem, in which the goal is to partition (or segment) an image…

人工智能 · 计算机科学 2013-03-08 Steven M. LaValle , Seth A. Hutchinson

Gaussian graphical models are widely used to infer dependence structures. Bayesian methods are appealing to quantify uncertainty associated with structural learning, i.e., the plausibility of conditional independence statements given the…

统计方法学 · 统计学 2025-11-05 Deborah Sulem , Jack Jewson , David Rossell

We introduce a novel Bayesian approach for both covariate selection and sparse precision matrix estimation in the context of high-dimensional Gaussian graphical models involving multiple responses. Our approach provides a sparse estimation…

统计方法学 · 统计学 2024-09-25 Anwesha Chakravarti , Naveen N. Narishetty , Feng Liang

Low-shot image classification is a fundamental task in computer vision, and the emergence of large-scale vision-language models such as CLIP has greatly advanced the forefront of research in this field. However, most existing CLIP-based…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Yibo Miao , Yu Lei , Feng Zhou , Zhijie Deng

The ability to obtain reliable point estimates of model parameters is of crucial importance in many fields of physics. This is often a difficult task given that the observed data can have a very high number of dimensions. In order to…

宇宙学与河外天体物理 · 物理学 2021-12-15 Janis Fluri , Aurelien Lucchi , Tomasz Kacprzak , Alexandre Refregier , Thomas Hofmann

We develop a Bayesian approach for selecting the model which is the most supported by the data within a class of marginal models for categorical variables formulated through equality and/or inequality constraints on generalised logits…

统计理论 · 数学 2012-02-21 Francesco Bartolucci , Luisa Scaccia , Alessio Farcomeni

One of the fundamental tasks of science is to find explainable relationships between observed phenomena. One approach to this task that has received attention in recent years is based on probabilistic graphical modelling with sparsity…

机器学习 · 统计学 2014-04-16 Peter Orchard , Felix Agakov , Amos Storkey

We report the application of implicit likelihood inference to the prediction of the macro-parameters of strong lensing systems with neural networks. This allows us to perform deep learning analysis of lensing systems within a well-defined…

天体物理仪器与方法 · 物理学 2023-01-25 Ronan Legin , Yashar Hezaveh , Laurence Perreault-Levasseur , Benjamin Wandelt

Segmentation of anatomical structures is a fundamental image analysis task for many applications in the medical field. Deep learning methods have been shown to perform well, but for this purpose large numbers of manual annotations are…

计算机视觉与模式识别 · 计算机科学 2019-12-24 Firat Ozdemir , Zixuan Peng , Philipp Fuernstahl , Christine Tanner , Orcun Goksel

Probabilistic circuits (PCs) are a prominent representation of probability distributions with tractable inference. While parameter learning in PCs is rigorously studied, structure learning is often more based on heuristics than on…

机器学习 · 计算机科学 2023-02-24 Yang Yang , Gennaro Gala , Robert Peharz

Graphical model learning and inference are often performed using Bayesian techniques. In particular, learning is usually performed in two separate steps. First, the graph structure is learned from the data; then the parameters of the model…

统计理论 · 数学 2013-09-09 Marco Scutari

Gaussian graphical models are used for determining conditional relationships between variables. This is accomplished by identifying off-diagonal elements in the inverse-covariance matrix that are non-zero. When the ratio of variables (p) to…

应用统计 · 统计学 2018-08-07 Donald R. Williams , Juho Piironen , Aki Vehtari , Philippe Rast

Recent developments in computer vision have enabled the availability of segmented images across various domains, such as medicine, where segmented radiography images play an important role in diagnosis-making. As prediction problems are…

统计方法学 · 统计学 2025-08-22 Issam-Ali Moindjié , Marie-Hélène Descary , Cédric Beaulac

Shape information is a strong and valuable prior in segmenting organs in medical images. However, most current deep learning based segmentation algorithms have not taken shape information into consideration, which can lead to bias towards…

计算机视觉与模式识别 · 计算机科学 2022-07-07 Yuan Yao , Fengze Liu , Zongwei Zhou , Yan Wang , Wei Shen , Alan Yuille , Yongyi Lu

In a traditional Gaussian graphical model, data homogeneity is routinely assumed with no extra variables affecting the conditional independence. In modern genomic datasets, there is an abundance of auxiliary information, which often gets…

统计方法学 · 统计学 2023-08-16 Yabo Niu , Yang Ni , Debdeep Pati , Bani K. Mallick