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Continual Repeated Annealed Flow Transport Monte Carlo

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arxiv 2201.13117 v3 pith:2UZIY3H2 submitted 2022-01-31 stat.ML cond-mat.stat-mechcs.LGhep-lat

classification stat.MLcond-mat.stat-mechcs.LGhep-lat
keywords carlomonteannealedflownormalizingtransportcraftflows
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We propose Continual Repeated Annealed Flow Transport Monte Carlo (CRAFT), a method that combines a sequential Monte Carlo (SMC) sampler (itself a generalization of Annealed Importance Sampling) with variational inference using normalizing flows. The normalizing flows are directly trained to transport between annealing temperatures using a KL divergence for each transition. This optimization objective is itself estimated using the normalizing flow/SMC approximation. We show conceptually and using multiple empirical examples that CRAFT improves on Annealed Flow Transport Monte Carlo (Arbel et al., 2021), on which it builds and also on Markov chain Monte Carlo (MCMC) based Stochastic Normalizing Flows (Wu et al., 2020). By incorporating CRAFT within particle MCMC, we show that such learnt samplers can achieve impressively accurate results on a challenging lattice field theory example.

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  1. Scaling of Stochastic Normalizing Flows in $\mathrm{SU}(3)$ lattice gauge theory

    hep-lat 2024-11 conditional novelty 6.0 of 10

    First demonstration that Stochastic Normalizing Flows inherit the linear-with-volume scaling of non-equilibrium MCMC in 4D SU(3) lattice gauge theory, with a factor-of-two efficiency gain.

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