Modularity exhibits the overlap gap property on the stochastic block model, ruling out a class of local algorithms for community recovery.
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Tempering chains achieve polynomial spectral gap lower bounds of order 11-12 for multimodal Gibbs measures without explicit energy landscape structure.
Lecture notes providing an introduction to Wiener chaos decomposition, Gaussian fields on the torus, and applications to the Φ^4 model.
citing papers explorer
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The stochastic block model has the overlap graph property for modularity
Modularity exhibits the overlap gap property on the stochastic block model, ruling out a class of local algorithms for community recovery.
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Rapid convergence of tempering chains to multimodal Gibbs measures
Tempering chains achieve polynomial spectral gap lower bounds of order 11-12 for multimodal Gibbs measures without explicit energy landscape structure.
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Topics in Gaussian Wiener chaos expansion
Lecture notes providing an introduction to Wiener chaos decomposition, Gaussian fields on the torus, and applications to the Φ^4 model.