3 problems
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Conjecture that correlated SBMs lower the community-detection threshold
Let be multiple correlated stochastic block models, and compare community detection with the corresponding single-SBM setting. Correlated-SBM threshold conjecture.…
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Conjecture that correlated graphs improve community recovery
Let and be correlated stochastic block models, and consider the problem of recovering their communities in regimes of exact, almost exact, or partial recovery. Correlat…
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Broad-family conjecture for correlation detection in randomly growing graphs
Let a pair of correlated randomly growing graphs be generated from a common seed and grown together until time , after which they evolve independently. Consider the gene…