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A Nearly-Linear Time Algorithm for Exact Community Recovery in Stochastic Block Model

ICML 2020 · Learning theory and algorithms › Sample complexity · approach: Private and query-efficient algorithms · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Two-stage power method then generalized power method (vs. SDP, MGD, SC)exact community recovery in binary symmetric SBM · Phase transition experiment, n=300total CPU time: 28 s vs 124 s (SC), 1063 s (MGD), 9193 s (SDP)Helped
Generalized power method (GPM) second stage vs. manifold gradient descent (MGD)convergence to ground truth · n=1000, 5000, 10000, alpha=10, beta=2iterations to exact recoveryHelped
Recovery performance of GPM vs. SDP, MGD, SC near information-theoretic thresholdexact community recovery · Phase transition experiment, n=300empirical exact recovery ratioNo clear effect

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