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We introduce efficient Markov chain Monte Carlo methods for inference and model determination in multivariate and matrix-variate Gaussian graphical models. Our framework is based on the G-Wishart prior for the precision matrix associated…

统计方法学 · 统计学 2010-05-25 Adrian Dobra , Alex Lenkoski , Abel Rodriguez

Covariance matrix estimation is a fundamental statistical task in many applications, but the sample covariance matrix is sub-optimal when the sample size is comparable to or less than the number of features. Such high-dimensional settings…

统计方法学 · 统计学 2022-06-06 Huiqin Xin , Sihai Dave Zhao

Phylogenomics, even more so than traditional phylogenetics, needs to represent the uncertainty in evolutionary trees due to systematic error. Here we illustrate the analysis of genome-scale alignments of yeast, using robust measures of the…

种群与进化 · 定量生物学 2009-12-31 Peter J. Waddell , Ariful Azad

Phylogenetic comparative methods are well established tools for using inter-species variation to analyse phenotypic evolution and adaptation. They are generally hampered, however, by predominantly univariate approaches and failure to…

种群与进化 · 定量生物学 2024-12-13 Krzysztof Bartoszek

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

应用统计 · 统计学 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

Despite the popularity of deep learning, structure learning for deep models remains a relatively under-explored area. In contrast, structure learning has been studied extensively for probabilistic graphical models (PGMs). In particular, an…

机器学习 · 计算机科学 2018-03-19 Zhourong Chen , Xiaopeng Li , Nevin L. Zhang

Linear mixed models are a versatile statistical tool to study data by accounting for fixed effects and random effects from multiple sources of variability. In many situations, a large number of candidate fixed effects is available and it is…

统计方法学 · 统计学 2022-09-09 Emanuele Degani , Luca Maestrini , Dorota Toczydłowska , Matt P. Wand

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

机器学习 · 计算机科学 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

Gaussian graphical models (GGMs) are well-established tools for probabilistic exploration of dependence structures using precision matrices. We develop a Bayesian method to incorporate covariate information in this GGMs setup in a nonlinear…

This work deals with the generation of theoretical correlation matrices with specific sparsity patterns, associated to graph structures. We present a novel approach based on convex optimization, offering greater flexibility compared to…

信号处理 · 电气工程与系统科学 2025-09-03 Ali Fahkar , Kévin Polisano , Irène Gannaz , Sophie Achard

Dynamic networks models describe a growing number of important scientific processes, from cell biology and epidemiology to sociology and finance. There are many aspects of dynamical networks that require statistical considerations. In this…

统计方法学 · 统计学 2012-05-15 E. C. Wit , A. Abbruzzo

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

机器学习 · 计算机科学 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

During the last decades macroecology has identified broad-scale patterns of abundances and diversity of microbial communities and put forward some potential explanations for them. However, these advances are not paralleled by a full…

种群与进化 · 定量生物学 2024-01-26 José Camacho-Mateu , Aniello Lampo , Matteo Sireci , Miguel Ángel Muñoz , José A. Cuesta

Sparse graphical modelling has attained widespread attention across various academic fields. We propose two new graphical model approaches, Gslope and Tslope, which provide sparse estimates of the precision matrix by penalizing its sorted…

Mixed-effects models are among the most commonly used statistical methods for the exploration of multispecies data. In recent years, also Joint Species Distribution Models and Generalized Linear Latent Variale Models have gained in…

统计计算 · 统计学 2025-01-31 Bert van der Veen , Robert Brian O'Hara

We introduce a statistical method that can reconstruct nonlinear genetic models (i.e., including epistasis, or gene-gene interactions) from phenotype-genotype (GWAS) data. The computational and data resource requirements are similar to…

基因组学 · 定量生物学 2015-09-29 Chiu Man Ho , Stephen D. H. Hsu

Graphical Gaussian models with edge and vertex symmetries were introduced by \citet{HojLaur:2008} who also gave an algorithm to compute the maximum likelihood estimate of the precision matrix for such models. In this paper, we take a…

统计方法学 · 统计学 2015-06-16 Helene Massam , Qiong Li , Xin Gao

This paper studies model selection consistency for high dimensional sparse regression when data exhibits both cross-sectional and serial dependency. Most commonly-used model selection methods fail to consistently recover the true model when…

统计方法学 · 统计学 2018-09-12 Jianqing Fan , Yuan Ke , Kaizheng Wang

Outstanding achievements of graph neural networks for spatiotemporal time series analysis show that relational constraints introduce an effective inductive bias into neural forecasting architectures. Often, however, the relational…

机器学习 · 计算机科学 2023-08-03 Andrea Cini , Daniele Zambon , Cesare Alippi

Sparse regularized regression methods are now widely used in genome-wide association studies (GWAS) to address the multiple testing burden that limits discovery of potentially important predictors. Linear mixed models (LMMs) have become an…

统计方法学 · 统计学 2022-06-27 Julien St-Pierre , Karim Oualkacha , Sahir Rai Bhatnagar