English

Multi-View Stochastic Block Models

Machine Learning 2024-06-10 v1 Data Structures and Algorithms Machine Learning

Abstract

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.

Keywords

Cite

@article{arxiv.2406.04860,
  title  = {Multi-View Stochastic Block Models},
  author = {Vincent Cohen-Addad and Tommaso d'Orsi and Silvio Lattanzi and Rajai Nasser},
  journal= {arXiv preprint arXiv:2406.04860},
  year   = {2024}
}

Comments

31 pages, ICML 2024