2 problems

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Conjecture on the optimality of the HMC time-step restriction for mixing rates
Let $T$ denote the HMC integration time, subject to the time-step restriction discussed in the analysis. Time-step optimality conjecture. For many problems of interest, this restri…
Conjectureopenhamiltonian-monte-carlo markov-chain-monte-carlo mixing-ratesarXiv posted 2 days ago
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General Small Incremental Mixing conjecture
Small Incremental Mixing conjecture. For every such ensemble,
Conjectureopenmixing-rates quantum-information von-neumann-entropyarXiv posted 2 days ago

Conjecture on the optimality of the HMC time-step restriction for mixing rates