MLLGDec 23, 2019

Multilevel Monte Carlo estimation of log marginal likelihood

arXiv:1912.10636v13 citations
Originality Synthesis-oriented
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This work addresses a computational bottleneck in Bayesian inference for statisticians and machine learning practitioners, but it appears incremental as it builds on existing multilevel Monte Carlo methods.

The paper tackles the problem of estimating log marginal likelihoods, presenting an unbiased multilevel Monte Carlo estimator and applying it to variational Bayes.

In this short note we provide an unbiased multilevel Monte Carlo estimator of the log marginal likelihood and discuss its application to variational Bayes.

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