Holistic Generalized Linear Models

Holistic linear regression extends the classical best subset selection problem by adding additional constraints designed to improve the model quality. These constraints include sparsity-inducing constraints, sign-coherence constraints and linear constraints. The R package holiglm provides functiona...

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Main Authors: Benjamin Schwendinger, Florian Schwendinger, Laura Vana
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2024-02-01
Series:Journal of Statistical Software
Online Access:https://www.jstatsoft.org/index.php/jss/article/view/4746
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author Benjamin Schwendinger
Florian Schwendinger
Laura Vana
author_facet Benjamin Schwendinger
Florian Schwendinger
Laura Vana
author_sort Benjamin Schwendinger
collection DOAJ
description Holistic linear regression extends the classical best subset selection problem by adding additional constraints designed to improve the model quality. These constraints include sparsity-inducing constraints, sign-coherence constraints and linear constraints. The R package holiglm provides functionality to model and fit holistic generalized linear models. By making use of state-of-the-art mixed-integer conic solvers, the package can reliably solve generalized linear models for Gaussian, binomial and Poisson responses with a multitude of holistic constraints. The high-level interface simplifies the constraint specification and can be used as a drop-in replacement for the stats::glm() function.
format Article
id doaj-art-3e829c7abc3c440abfae757a4a2db51f
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issn 1548-7660
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publishDate 2024-02-01
publisher Foundation for Open Access Statistics
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series Journal of Statistical Software
spelling doaj-art-3e829c7abc3c440abfae757a4a2db51f2025-08-20T02:51:00ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602024-02-01108110.18637/jss.v108.i07Holistic Generalized Linear ModelsBenjamin Schwendinger0Florian Schwendinger1Laura Vana2Technische Universität WienUniversity of KlagenfurtTechnische Universität Wien Holistic linear regression extends the classical best subset selection problem by adding additional constraints designed to improve the model quality. These constraints include sparsity-inducing constraints, sign-coherence constraints and linear constraints. The R package holiglm provides functionality to model and fit holistic generalized linear models. By making use of state-of-the-art mixed-integer conic solvers, the package can reliably solve generalized linear models for Gaussian, binomial and Poisson responses with a multitude of holistic constraints. The high-level interface simplifies the constraint specification and can be used as a drop-in replacement for the stats::glm() function. https://www.jstatsoft.org/index.php/jss/article/view/4746
spellingShingle Benjamin Schwendinger
Florian Schwendinger
Laura Vana
Holistic Generalized Linear Models
Journal of Statistical Software
title Holistic Generalized Linear Models
title_full Holistic Generalized Linear Models
title_fullStr Holistic Generalized Linear Models
title_full_unstemmed Holistic Generalized Linear Models
title_short Holistic Generalized Linear Models
title_sort holistic generalized linear models
url https://www.jstatsoft.org/index.php/jss/article/view/4746
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