cglasso: An R Package for Conditional Graphical Lasso Inference with Censored and Missing Values

Sparse graphical models have revolutionized multivariate inference. With the advent of high-dimensional multivariate data in many applied fields, these methods are able to detect a much lower-dimensional structure, often represented via a sparse conditional independence graph. There have been numer...

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Main Authors: Luigi Augugliaro, Gianluca Sottile, Ernst C. Wit, Veronica Vinciotti
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2023-01-01
Series:Journal of Statistical Software
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Online Access:https://www.jstatsoft.org/index.php/jss/article/view/4335
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author Luigi Augugliaro
Gianluca Sottile
Ernst C. Wit
Veronica Vinciotti
author_facet Luigi Augugliaro
Gianluca Sottile
Ernst C. Wit
Veronica Vinciotti
author_sort Luigi Augugliaro
collection DOAJ
description Sparse graphical models have revolutionized multivariate inference. With the advent of high-dimensional multivariate data in many applied fields, these methods are able to detect a much lower-dimensional structure, often represented via a sparse conditional independence graph. There have been numerous extensions of such methods in the past decade. Many practical applications have additional covariates or suffer from missing or censored data. Despite the development of these extensions of sparse inference methods for graphical models, there have been so far no implementations for, e.g., conditional graphical models. Here we present the general-purpose package cglasso for estimating sparse conditional Gaussian graphical models with potentially missing or censored data. The method employs an efficient expectation-maximization estimation of an ℓ1 -penalized likelihood via a block-coordinate descent algorithm. The package has a user-friendly data manipulation interface. It estimates a solution path and includes various automatic selection algorithms for the two ℓ1 tuning parameters, associated with the sparse precision matrix and sparse regression coefficients, respectively. The package pays particular attention to the visualization of the results, both by means of marginal tables and figures, and of the inferred conditional independence graphs. This package provides a unique and computational efficient implementation of a conditional Gaussian graphical model that is able to deal with the additional complications of missing and censored data. As such it constitutes an important contribution for empirical scientists wishing to detect sparse structures in high-dimensional data.
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institution Kabale University
issn 1548-7660
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publisher Foundation for Open Access Statistics
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series Journal of Statistical Software
spelling doaj-art-c0828f7e1f33479d95762d33da3f28b92024-12-29T00:12:54ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602023-01-01105110.18637/jss.v105.i014102cglasso: An R Package for Conditional Graphical Lasso Inference with Censored and Missing ValuesLuigi Augugliaro0Gianluca Sottile1Ernst C. Wit2Veronica Vinciotti3University of PalermoUniversity of PalermoUniversità della Svizzera italianaUniversity of Trento Sparse graphical models have revolutionized multivariate inference. With the advent of high-dimensional multivariate data in many applied fields, these methods are able to detect a much lower-dimensional structure, often represented via a sparse conditional independence graph. There have been numerous extensions of such methods in the past decade. Many practical applications have additional covariates or suffer from missing or censored data. Despite the development of these extensions of sparse inference methods for graphical models, there have been so far no implementations for, e.g., conditional graphical models. Here we present the general-purpose package cglasso for estimating sparse conditional Gaussian graphical models with potentially missing or censored data. The method employs an efficient expectation-maximization estimation of an ℓ1 -penalized likelihood via a block-coordinate descent algorithm. The package has a user-friendly data manipulation interface. It estimates a solution path and includes various automatic selection algorithms for the two ℓ1 tuning parameters, associated with the sparse precision matrix and sparse regression coefficients, respectively. The package pays particular attention to the visualization of the results, both by means of marginal tables and figures, and of the inferred conditional independence graphs. This package provides a unique and computational efficient implementation of a conditional Gaussian graphical model that is able to deal with the additional complications of missing and censored data. As such it constitutes an important contribution for empirical scientists wishing to detect sparse structures in high-dimensional data. https://www.jstatsoft.org/index.php/jss/article/view/4335conditional Gaussian graphical modelsglassohigh-dimensionalitysparsitycensoringmissing data
spellingShingle Luigi Augugliaro
Gianluca Sottile
Ernst C. Wit
Veronica Vinciotti
cglasso: An R Package for Conditional Graphical Lasso Inference with Censored and Missing Values
Journal of Statistical Software
conditional Gaussian graphical models
glasso
high-dimensionality
sparsity
censoring
missing data
title cglasso: An R Package for Conditional Graphical Lasso Inference with Censored and Missing Values
title_full cglasso: An R Package for Conditional Graphical Lasso Inference with Censored and Missing Values
title_fullStr cglasso: An R Package for Conditional Graphical Lasso Inference with Censored and Missing Values
title_full_unstemmed cglasso: An R Package for Conditional Graphical Lasso Inference with Censored and Missing Values
title_short cglasso: An R Package for Conditional Graphical Lasso Inference with Censored and Missing Values
title_sort cglasso an r package for conditional graphical lasso inference with censored and missing values
topic conditional Gaussian graphical models
glasso
high-dimensionality
sparsity
censoring
missing data
url https://www.jstatsoft.org/index.php/jss/article/view/4335
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AT ernstcwit cglassoanrpackageforconditionalgraphicallassoinferencewithcensoredandmissingvalues
AT veronicavinciotti cglassoanrpackageforconditionalgraphicallassoinferencewithcensoredandmissingvalues