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Gaussian Graphical Models (GGMs) are popular tools for studying network structures. However, many modern applications such as gene network discovery and social interactions analysis often involve high-dimensional noisy data with outliers or…

机器学习 · 统计学 2015-10-30 Eunho Yang , Aurélie C. Lozano

Non linear mixed effect models are classical tools to analyze non linear longitudinal data in many fields such as population Pharmacokinetic. Groups of observations are usually compared by introducing the group affiliations as binary…

统计计算 · 统计学 2017-09-28 Edouard Ollier , Adeline Samson , Xavier Delavenne , Vivian Viallon

Graphical models have proven to be powerful tools for representing high-dimensional systems of random variables. One example of such a model is the undirected graph, in which lack of an edge represents conditional independence between two…

概率论 · 数学 2013-10-11 Dhafer Malouche , Bala Rajaratnam , Benjamin T. Rolfs

Gaussian processes (GPs) are widely used as distributions of random effects in linear mixed models, which are fit using the restricted likelihood or the closely-related Bayesian analysis. This article addresses two problems. First, we…

统计方法学 · 统计学 2018-05-04 Maitreyee Bose , James S. Hodges , Sudipto Banerjee

Graphical models are powerful tools to investigate complex dependency structures in high-throughput datasets. However, most existing graphical models make one of the two canonical assumptions: (i) a homogeneous graph with a common network…

统计方法学 · 统计学 2023-10-31 Tsung-Hung Yao , Yang Ni , Anindya Bhadra , Jian Kang , Veerabhadran Baladandayuthapani

This article proposes a graphical model that handles mixed-type, multi-group data. The motivation for such a model originates from real-world observational data, which often contain groups of samples obtained under heterogeneous conditions…

统计方法学 · 统计学 2023-01-02 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

Graphical models have been widely applied in solving distributed inference problems in sensor networks. In this paper, the problem of coordinating a network of sensors to train a unique ensemble estimator under communication constraints is…

分布式、并行与集群计算 · 计算机科学 2016-11-17 Haipeng Zheng , Sanjeev R. Kulkarni , H. Vincent Poor

We present the group fused Lasso for detection of multiple change-points shared by a set of co-occurring one-dimensional signals. Change-points are detected by approximating the original signals with a constraint on the multidimensional…

定量方法 · 定量生物学 2011-06-23 Kevin Bleakley , Jean-Philippe Vert

Time series graphical models have recently received considerable attention for characterizing (conditional) dependence structures in multivariate time series. In many applications, the multivariate series exhibit variable-partitioned…

统计方法学 · 统计学 2026-04-09 Qin Fang , Xinghao Qiao , Zihan Wang

A variety of real-world tasks involve the classification of images into pre-determined categories. Designing image classification algorithms that exhibit robustness to acquisition noise and image distortions, particularly when the available…

机器学习 · 统计学 2016-03-10 Umamahesh Srinivas

We investigate the effect of cadmium (a toxic environmental pollutant) on the correlation structure of a number of urinary metabolites using Gaussian graphical models (GGMs). The inferred metabolic associations can provide important…

统计方法学 · 统计学 2019-04-23 Linda S. L. Tan , Ajay Jasra , Maria De Iorio , Timothy M. D. Ebbels

The graphical Lasso (GLASSO) is a widely used algorithm for learning high-dimensional undirected Gaussian graphical models (GGM). Given i.i.d. observations from a multivariate normal distribution, GLASSO estimates the precision matrix by…

统计方法学 · 统计学 2026-01-15 Ha Nguyen , Sumanta Basu

Constructing gene regulatory networks is a fundamental task in systems biology. We introduce a Gaussian reciprocal graphical model for inference about gene regulatory relationships by integrating mRNA gene expression and DNA level…

统计方法学 · 统计学 2016-07-26 Yang Ni , Yuan Ji , Peter Mueller

This paper introduces Polynomial Graphical Lasso (PGL), a new approach to learning graph structures from nodal signals. Our key contribution lies in modeling the signals as Gaussian and stationary on the graph, enabling the development of a…

信号处理 · 电气工程与系统科学 2024-04-04 Andrei Buciulea , Jiaxi Ying , Antonio G. Marques , Daniel P. Palomar

This paper introduces the Gaussian multi-Graphical Model, a model to construct sparse graph representations of matrix- and tensor-variate data. We generalize prior work in this area by simultaneously learning this representation across…

机器学习 · 统计学 2024-02-28 Bailey Andrew , David Westhead , Luisa Cutillo

Gaussian Graphical models (GGM) are widely used to estimate the network structures in many applications ranging from biology to finance. In practice, data is often corrupted by latent confounders which biases inference of the underlying…

统计方法学 · 统计学 2023-07-25 Ke Wang , Alexander Franks , Sang-Yun Oh

Graphical models are an important tool in exploring relationships between variables in complex, multivariate data. Methods for learning such graphical models are well developed in the case where all variables are either continuous or…

机器学习 · 统计学 2024-02-15 Konstantin Göbler , Anne Miloschewski , Mathias Drton , Sach Mukherjee

We consider the problem of estimating a sparse precision matrix of a multivariate Gaussian distribution, including the case where the dimension $p$ is large. Gaussian graphical models provide an important tool in describing conditional…

统计理论 · 数学 2014-04-08 Sayantan Banerjee , Subhashis Ghosal

Functional Gaussian graphical models (GGM) used for analyzing multivariate functional data customarily estimate an unknown graphical model representing the conditional relationships between the functional variables. However, in many…

统计方法学 · 统计学 2024-10-03 Debangan Dey , Sudipto Banerjee , Martin Lindquist , Abhirup Datta

Undirected graphical models have been especially popular for learning the conditional independence structure among a large number of variables where the observations are drawn independently and identically from the same distribution.…

最优化与控制 · 数学 2021-04-23 Yangjing Zhang , Ning Zhang , Defeng Sun , Kim-Chuan Toh