Web: http://arxiv.org/abs/2209.07481

Sept. 16, 2022, 1:12 a.m. | Rob Brekelmans, Frank Nielsen

cs.LG updates on arXiv.org arxiv.org

Markov Chain Monte Carlo methods for sampling from complex distributions and
estimating normalization constants often simulate samples from a sequence of
intermediate distributions along an annealing path, which bridges between a
tractable initial distribution and a target density of interest. Prior work has
constructed annealing paths using quasi-arithmetic means, and interpreted the
resulting intermediate densities as minimizing an expected divergence to the
endpoints. We provide a comprehensive analysis of this 'centroid' property
using Bregman divergences under a monotonic embedding of …

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