Methods for differential network estimation: an empirical comparison

Fuente: arXiv
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Auteurs principaux: Plaksienko, Anna, Thoresen, Magne, Djordjilović, Vera
Format: Preprint
Publié: 2024
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author Plaksienko, Anna
Thoresen, Magne
Djordjilović, Vera
author_facet Plaksienko, Anna
Thoresen, Magne
Djordjilović, Vera
contents We provide a review and a comparison of methods for differential network estimation in Gaussian graphical models with focus on structure learning. We consider the case of two datasets from distributions associated with two graphical models. In our simulations, we use five different methods to estimate differential networks. We vary graph structure and sparsity to explore their influence on performance in terms of power and false discovery rate. We demonstrate empirically that presence of hubs proves to be a challenge for all the methods, as well as increased density. We suggest local and global properties that are associated with this challenge. Direct estimation with lasso penalized D-trace loss is shown to perform the best across all combinations of network structure and sparsity.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17922
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Methods for differential network estimation: an empirical comparison
Plaksienko, Anna
Thoresen, Magne
Djordjilović, Vera
Methodology
Applications
We provide a review and a comparison of methods for differential network estimation in Gaussian graphical models with focus on structure learning. We consider the case of two datasets from distributions associated with two graphical models. In our simulations, we use five different methods to estimate differential networks. We vary graph structure and sparsity to explore their influence on performance in terms of power and false discovery rate. We demonstrate empirically that presence of hubs proves to be a challenge for all the methods, as well as increased density. We suggest local and global properties that are associated with this challenge. Direct estimation with lasso penalized D-trace loss is shown to perform the best across all combinations of network structure and sparsity.
title Methods for differential network estimation: an empirical comparison
topic Methodology
Applications
url https://arxiv.org/abs/2412.17922