• Corpus ID: 246240253

# The Forward-Backward Envelope for Sampling with the Overdamped Langevin Algorithm

@article{Eftekhari2022TheFE,
title={The Forward-Backward Envelope for Sampling with the Overdamped Langevin Algorithm},
author={Armin Eftekhari and Luisa Fernanda Vargas and Konstantinos C. Zygalakis},
journal={ArXiv},
year={2022},
volume={abs/2201.09096}
}
• Published 22 January 2022
• Mathematics
• ArXiv
In this paper, we analyse a proximal method based on the idea of forward-backward splitting for sampling from distributions with densities that are not necessarily smooth. In particular, we study the nonasymptotic properties of the Euler-Maruyama discretization of the Langevin equation, where the forward-backward envelope is used to deal with the non-smooth part of the dynamics. An advantage of this envelope, when compared to widely-used Moreu-Yoshida one and the MYULA algorithm, is that it…

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