@inproceedings{dd643921b9b04665bfbd09a2cddfd1f2,
title = "Community detection in hypergraphs, spiked tensor models, and Sum-of-Squares",
abstract = "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 models. In contrast with the matrix case, the spiked model naturally arising from community detection in hypergraphs is different from the one arising in the so-called tensor Principal Component Analysis model. We investigate the effectiveness of algorithms in the Sum-of-Squares hierarchy on these models. Interestingly, our results suggest that these two apparently similar models might exhibit very different computational to statistical gaps.",
author = "Chiheon Kim and Bandeira, {Afonso S.} and Goemans, {Michel X.}",
year = "2017",
month = sep,
day = "1",
doi = "10.1109/SAMPTA.2017.8024470",
language = "English (US)",
series = "2017 12th International Conference on Sampling Theory and Applications, SampTA 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "124--128",
editor = "Gholamreza Anbarjafari and Andi Kivinukk and Gert Tamberg",
booktitle = "2017 12th International Conference on Sampling Theory and Applications, SampTA 2017",
note = "12th International Conference on Sampling Theory and Applications, SampTA 2017 ; Conference date: 03-07-2017 Through 07-07-2017",
}