Mutual Information in Community Detection with Covariate Information and Correlated Networks
Publication
, Conference
Mayya, V; Reeves, G
Published in: 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019
September 1, 2019
We study the problem of community detection when there is covariate information about the node labels and one observes multiple correlated networks. We provide an asymptotic upper bound on the per-node mutual information as well as a heuristic analysis of a multivariate performance measure called the MMSE matrix. These results show that the combined effects of seemingly very different types of information can be characterized explicitly in terms of formulas involving low-dimensional estimation problems in additive Gaussian noise. Our analysis is supported by numerical simulations.
Duke Scholars
Published In
2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019
DOI
ISBN
9781728131511
Publication Date
September 1, 2019
Start / End Page
602 / 607
Citation
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Mayya, V., & Reeves, G. (2019). Mutual Information in Community Detection with Covariate Information and Correlated Networks. In 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019 (pp. 602–607). https://doi.org/10.1109/ALLERTON.2019.8919733
Mayya, V., and G. Reeves. “Mutual Information in Community Detection with Covariate Information and Correlated Networks.” In 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019, 602–7, 2019. https://doi.org/10.1109/ALLERTON.2019.8919733.
Mayya V, Reeves G. Mutual Information in Community Detection with Covariate Information and Correlated Networks. In: 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019. 2019. p. 602–7.
Mayya, V., and G. Reeves. “Mutual Information in Community Detection with Covariate Information and Correlated Networks.” 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019, 2019, pp. 602–07. Scopus, doi:10.1109/ALLERTON.2019.8919733.
Mayya V, Reeves G. Mutual Information in Community Detection with Covariate Information and Correlated Networks. 2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019. 2019. p. 602–607.
Published In
2019 57th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2019
DOI
ISBN
9781728131511
Publication Date
September 1, 2019
Start / End Page
602 / 607