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- W4307416543 abstract "Consider a one-parameter family of Boltzmann distributions $p_t(x) = tfrac{1}{Z_t}e^{-S_t(x)}$. This work studies the problem of sampling from $p_{t_0}$ by first sampling from $p_{t_1}$ and then applying a transformation $Psi_{t_1}^{t_0}$ so that the transformed samples follow $p_{t_0}$. We derive an equation relating $Psi$ and the corresponding family of unnormalized log-likelihoods $S_t$. The utility of this idea is demonstrated on the $phi^4$ lattice field theory by extending its defining action $S_0$ to a family of actions $S_t$ and finding a $tau$ such that normalizing flows perform better at learning the Boltzmann distribution $p_tau$ than at learning $p_0$." @default.
- W4307416543 created "2022-11-01" @default.
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- W4307416543 date "2022-10-25" @default.
- W4307416543 modified "2023-10-04" @default.
- W4307416543 title "Deformations of Boltzmann Distributions" @default.
- W4307416543 doi "https://doi.org/10.48550/arxiv.2210.13772" @default.
- W4307416543 hasPublicationYear "2022" @default.
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