We look at a two-sample problem within the framework of decomposable graphical models. When the global hypothesis of equality of two distributions is rejected, the interest is usually in localizing the source of di erence. Motivated by the idea that diseases can be seen as system perturbations, and by the need to distinguish between the origin of perturbation and components a ected by the perturbation, we introduce the concept of a minimal seed set, and its graphical counterpart a graphical seed set. They intuitively consist of variables driving the di erence between the two conditions. We propose a simple testing procedure, linear in the number of nodes, to estimate the graphical seed set from data. We illustrate our approach in the context of gene set analysis, where we show that is possible to zoom in on the origin of perturbation in a gene network.

Djordjilovic Vera, Chiogna Monica (2022). Searching for a source of difference in graphical models. JOURNAL OF MULTIVARIATE ANALYSIS, 190(July), 1-12 [10.1016/j.jmva.2022.104973].

Searching for a source of difference in graphical models

Chiogna Monica
2022

Abstract

We look at a two-sample problem within the framework of decomposable graphical models. When the global hypothesis of equality of two distributions is rejected, the interest is usually in localizing the source of di erence. Motivated by the idea that diseases can be seen as system perturbations, and by the need to distinguish between the origin of perturbation and components a ected by the perturbation, we introduce the concept of a minimal seed set, and its graphical counterpart a graphical seed set. They intuitively consist of variables driving the di erence between the two conditions. We propose a simple testing procedure, linear in the number of nodes, to estimate the graphical seed set from data. We illustrate our approach in the context of gene set analysis, where we show that is possible to zoom in on the origin of perturbation in a gene network.
2022
Djordjilovic Vera, Chiogna Monica (2022). Searching for a source of difference in graphical models. JOURNAL OF MULTIVARIATE ANALYSIS, 190(July), 1-12 [10.1016/j.jmva.2022.104973].
Djordjilovic Vera; Chiogna Monica
File in questo prodotto:
File Dimensione Formato  
11585_853852.pdf

Open Access dal 01/08/2024

Descrizione: Post-print con copertina
Tipo: Postprint
Licenza: Licenza per Accesso Aperto. Creative Commons Attribuzione - Non commerciale - Non opere derivate (CCBYNCND)
Dimensione 1.14 MB
Formato Adobe PDF
1.14 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/853852
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact