This work presents a new model that extends the hubs weighted graphical lasso to dynamic settings by combining it with a Hidden Markov framework. The method is designed to track changes in the network structure over time, especially when hub nodes are present. A penalized EM algorithm is used for estimation, and simulations suggest notable improvements over other HMM-based approaches. Future work will explore how the model behaves when the number of states is overestimated.

Evaluating hub structures in hidden Markov graphical models / Foroni, Beatrice; Khalili, Abbas; Petrella, Lea; Salvati, Nicola. - (2025), pp. 421-427. (Intervento presentato al convegno SIS: Scientific Meeting of the Italian Statistical Society tenutosi a Genova) [10.1007/978-3-031-96736-8].

Evaluating hub structures in hidden Markov graphical models

Beatrice Foroni
Primo
;
Lea Petrella
Penultimo
;
2025

Abstract

This work presents a new model that extends the hubs weighted graphical lasso to dynamic settings by combining it with a Hidden Markov framework. The method is designed to track changes in the network structure over time, especially when hub nodes are present. A penalized EM algorithm is used for estimation, and simulations suggest notable improvements over other HMM-based approaches. Future work will explore how the model behaves when the number of states is overestimated.
2025
SIS: Scientific Meeting of the Italian Statistical Society
Gaussian graphical model; hubs; weighted lasso; hidden Markov model
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Evaluating hub structures in hidden Markov graphical models / Foroni, Beatrice; Khalili, Abbas; Petrella, Lea; Salvati, Nicola. - (2025), pp. 421-427. (Intervento presentato al convegno SIS: Scientific Meeting of the Italian Statistical Society tenutosi a Genova) [10.1007/978-3-031-96736-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1741646
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