Multi-View Stochastic Block Models

Fuente: arXiv
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Autori principali: Cohen-Addad, Vincent, d'Orsi, Tommaso, Lattanzi, Silvio, Nasser, Rajai
Natura: Preprint
Pubblicazione: 2024
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author Cohen-Addad, Vincent
d'Orsi, Tommaso
Lattanzi, Silvio
Nasser, Rajai
author_facet Cohen-Addad, Vincent
d'Orsi, Tommaso
Lattanzi, Silvio
Nasser, Rajai
contents Graph clustering is a central topic in unsupervised learning with a multitude of practical applications. In recent years, multi-view graph clustering has gained a lot of attention for its applicability to real-world instances where one has access to multiple data sources. In this paper we formalize a new family of models, called \textit{multi-view stochastic block models} that captures this setting. For this model, we first study efficient algorithms that naively work on the union of multiple graphs. Then, we introduce a new efficient algorithm that provably outperforms previous approaches by analyzing the structure of each graph separately. Furthermore, we complement our results with an information-theoretic lower bound studying the limits of what can be done in this model. Finally, we corroborate our results with experimental evaluations.
format Preprint
id arxiv_https___arxiv_org_abs_2406_04860
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Multi-View Stochastic Block Models
Cohen-Addad, Vincent
d'Orsi, Tommaso
Lattanzi, Silvio
Nasser, Rajai
Machine Learning
Data Structures and Algorithms
F.2; G.3
Graph clustering is a central topic in unsupervised learning with a multitude of practical applications. In recent years, multi-view graph clustering has gained a lot of attention for its applicability to real-world instances where one has access to multiple data sources. In this paper we formalize a new family of models, called \textit{multi-view stochastic block models} that captures this setting. For this model, we first study efficient algorithms that naively work on the union of multiple graphs. Then, we introduce a new efficient algorithm that provably outperforms previous approaches by analyzing the structure of each graph separately. Furthermore, we complement our results with an information-theoretic lower bound studying the limits of what can be done in this model. Finally, we corroborate our results with experimental evaluations.
title Multi-View Stochastic Block Models
topic Machine Learning
Data Structures and Algorithms
F.2; G.3
url https://arxiv.org/abs/2406.04860