663 citations
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Showing 2009 · math.PRShow all
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math.PR2009
Reducing the Ising model to matchings
Mark Huber, Jenny Law
Canonical paths is one of the most powerful tools available to show that a Markov chain is rapidly mixing, thereby enabling approximate sampling from complex high dimensional distr…
math.PR2009★ 96 cited
Conditions for rapid mixing of parallel and simulated tempering on multimodal distributions
Dawn B. Woodard, Scott C. Schmidler, Mark Huber
We give conditions under which a Markov chain constructed via parallel or simulated tempering is guaranteed to be rapidly mixing, which are applicable to a wide range of multimodal…