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Exact Recovery Threshold in Multi-Community SBM

§ Problem Statement

§ Discussion

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§ Significance & Implications

§ Known Partial Results

§ References

[1]

Exact recovery in the stochastic block model

Emmanuel Abbe, Afonso Bandeira, Georgina Hall (2016)

IEEE Transactions on Information Theory

📍 Section 6 (Open problems), the multi-community symmetric SBM exact-recovery threshold discussion (the open question on the threshold as $k$ grows).

[2]

Community detection in general stochastic block models

Emmanuel Abbe, Colin Sandon (2015)

[3]

Reconstruction and estimation in the planted partition model

Elchanan Mossel, Joe Neeman, Allan Sly (2015)

Probability Theory and Related Fields

📍 Section 1 (Introduction), Theorem 1.1 (information-theoretic threshold for exact recovery in 2-community SBM), p. 433.

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