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Multi-View Stochastic Block Models

arXiv 2406.04860 ↗First posted 7 Jun 2024cs.LG cs.DS stat.MLcited by 0

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Abstract (arXiv)

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 textitmulti-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.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 17 of its 42 references that are in the map. First posted on arXiv 7 Jun 2024.

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17 of 42 references.

References · 17

  1. 2017Community Detection and Stochastic Block Modelscited by 317
  2. 2014Exact Recovery in the Stochastic Block Modelcited by 77
  3. 2015A cost function for similarity-based hierarchical clusteringcited by 63
  4. 2013Community detection thresholds and the weak Ramanujan propertycited by 47
  5. 2013A Proof Of The Block Model Threshold Conjecturecited by 35
  6. 2018Deep Multimodal Subspace Clustering Networkscited by 31
  7. 2015Non-backtracking spectrum of random graphs: community detection and non-regular Ramanujan graphscited by 26
  8. 2014Consistency Thresholds for the Planted Bisection Modelcited by 24
  9. 2013Belief propagation, robust reconstruction and optimal recovery of block modelscited by 18
  10. 2021Robust recovery for stochastic block modelscited by 18
  11. 2016Information-theoretic thresholds for community detection in sparse networkscited by 17
  12. 2017Community detection, link prediction, and layer interdependence in multilayer networkscited by 17
5 more
  1. 2015Community detection in multi-relational data with restricted multi-layer stochastic blockmodelcited by 14
  2. 2015Recovering communities in the general stochastic block model without knowing the parameterscited by 13
  3. 2023Reaching Kesten-Stigum Threshold in the Stochastic Block Model under Node Corruptionscited by 7
  4. 2016Exact ICL maximization in a non-stationary temporal extension of the stochastic block model for dynamic networkscited by 3
  5. 2021On statistical inference when fixed points of belief propagation are unstablecited by 3

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