Community detection in hypergraphs, spiked tensor models, and Sum-of-Squares

We study the problem of community detection in hypergraphs under a stochastic block model. Similarly to how the stochastic block model in graphs suggests studying spiked random matrices, our model motivates investigating statistical and computational limits of exact recovery in certain spiked tensor...

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Bibliographic Details
Main Authors: Kim, Chiheon, Sousa Bandeira, Afonso Jose, Goemans, Michel X
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Institute of Electrical and Electronics Engineers (IEEE) 2018
Online Access:http://hdl.handle.net/1721.1/116076
https://orcid.org/0000-0002-3705-5318
https://orcid.org/0000-0002-7331-7557
https://orcid.org/0000-0002-0520-1165