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Uncovering latent structure in valued graphs: A variational approach

Open access
Mariadassou, Mahendra, Robin, Stéphane, Vacher, Corinne·2010·The Annals of Applied Statistics

Abstract

As more and more network-structured data sets are available, the statistical analysis of valued graphs has become common place. Looking for a latent structure is one of the many strategies used to better understand the behavior of a network. Several methods already exist for the binary case. We present a model-based strategy to uncover groups of nodes in valued graphs. This framework can be used for a wide span of parametric random graphs models and allows to include covariates. Variational tools allow us to achieve approximate maximum likelihood estimation of the parameters of these models. We provide a simulation study showing that our estimation method performs well over a broad range of situations. We apply this method to analyze host–parasite interaction networks in forest ecosystems.

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Metadata

Authors
Mariadassou, M., Robin, S., & Vacher, C.
Venue
The Annals of Applied Statistics
Published
2010-06-01
Volume
4
Issue
2
Pages
715-742
ISSN
1932-6157 (ISSN-L)
OpenAlex
W2018312367
Cited by
220
References
3
FWCI
7.39
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Uncovering latent structure in valued graphs: A variational approach. https://app.cochat.ai/papers/10.1214/10-aoas361
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Mariadassou, M., Robin, S., & Vacher, C. (2010). Uncovering latent structure in valued graphs: A variational approach. The Annals of Applied Statistics. https://doi.org/10.1214/10-aoas361

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.