Corpus ID: 1514032

# Information-theoretic thresholds for community detection in sparse networks

@article{Banks2016InformationtheoreticTF,
title={Information-theoretic thresholds for community detection in sparse networks},
author={J. Banks and C. Moore and Joe Neeman and Praneeth Netrapalli},
journal={ArXiv},
year={2016},
volume={abs/1607.01760}
}
• J. Banks, +1 author Praneeth Netrapalli
• Published 2016
• Mathematics, Computer Science, Physics
• ArXiv
• We give upper and lower bounds on the information-theoretic threshold for community detection in the stochastic block model. Specifically, consider the symmetric stochastic block model with $q$ groups, average degree $d$, and connection probabilities $c_\text{in}/n$ and $c_\text{out}/n$ for within-group and between-group edges respectively; let $\lambda = (c_\text{in}-c_\text{out})/(qd)$. We show that, when $q$ is large, and $\lambda = O(1/q)$, the critical value of $d$ at which community… CONTINUE READING
89 Citations

#### References

SHOWING 1-10 OF 53 REFERENCES
Community Detection in General Stochastic Block models: Fundamental Limits and Efficient Algorithms for Recovery
• Mathematics, Computer Science
• 2015 IEEE 56th Annual Symposium on Foundations of Computer Science
• 2015
• 223
Global and Local Information in Clustering Labeled Block Models
• Mathematics, Computer Science
• IEEE Transactions on Information Theory
• 2016
• 24
• PDF
Crossing the KS threshold in the stochastic block model with information theory
• Mathematics, Computer Science
• 2016 IEEE International Symposium on Information Theory (ISIT)
• 2016
• 13
• Highly Influential
Non-Reconstructability in the Stochastic Block Model
• Computer Science, Mathematics
• ArXiv
• 2014
• 26
• PDF
Spectral redemption in clustering sparse networks
• F. Krzakala, +4 authors P. Zhang
• Computer Science, Physics
• Proceedings of the National Academy of Sciences
• 2013
• 465
• PDF
Community detection in networks with unequal groups
• Mathematics, Medicine
• Physical review. E
• 2016
• 38
• PDF
Chasing the k-colorability threshold
• Mathematics, Computer Science
• 2013
• 32
• PDF
Scalable detection of statistically significant communities and hierarchies, using message passing for modularity
• Mathematics, Physics
• Proceedings of the National Academy of Sciences
• 2014
• 107
• PDF