# Metastable Mixing of Markov Chains: Efficiently Sampling Low Temperature Exponential Random Graphs

@inproceedings{Bresler2022MetastableMO, title={Metastable Mixing of Markov Chains: Efficiently Sampling Low Temperature Exponential Random Graphs}, author={Guy Bresler and Dheeraj M. Nagaraj and Eshaan Nichani}, year={2022} }

In this paper we consider the problem of sampling from the low-temperature exponential random graph model (ERGM). The usual approach is via Markov chain Monte Carlo, but strong lower bounds have been established for the ERGM showing that any local Markov chain suﬀers from an exponentially large mixing time due to metastable states. We instead consider metastable mixing , a notion of approximate mixing within a collection of metastable states. In the case of the ERGM, we show that Glauber…

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