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Research map / Probabilistic and scientific modeling / Variational and generative sampling

Quasi-Monte Carlo Variational Inference

ICML 2018 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Stochastic gradient MCMC · 13 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace MC sampling with RQMC sampling in the score-function estimatorMCVI · Hierarchical linear regressionconvergence speed: up to three orders of magnitudeHelped
Replace MC sampling with RQMC sampling in the score-function estimatorMCVI · Hierarchical linear regressiongradient variance: up to three orders of magnitudeHelped
Replace 100 MC samples with 10 RQMC samplesMCVI with the reparameterization estimator · Hierarchical linear regressiongradient varianceNo clear effect
Use RQMC sampling with 50 samples instead of MC samplingMCVI with the reparameterization estimator · friskELBOHelped
Use RQMC sampling with 50 samples instead of MC or control variatesMCVI with the reparameterization estimator · friskgradient varianceHelped
Use RQMC sampling with 10 samples instead of MC samplingMCVI with the reparameterization estimator · Bayesian neural network, wine datasetELBOHelped
Use RQMC sampling with 50 samples instead of MC or control variatesMCVI with the reparameterization estimator · Bayesian neural network, wine datasetconvergence speed: one to three orders of magnitudeHelped
Use RQMC sampling with 50 samples instead of MC or control variatesMCVI with the reparameterization estimator · Bayesian neural network, wine datasetgradient variance: one to three orders of magnitudeHelped
Increase the RQMC sample size over iterations while keeping a constant learning rateSGD optimizing a strongly convex Monte Carlo objective · Two-dimensional normal targetasymptotic convergence rateHelped
Replace ordinary MC sampling with RQMC samplingMCVI with the reparameterization estimator · frisk, 10 samplesgradient varianceHurt

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