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Yes, but Did It Work?: Evaluating Variational Inference

ICML 2018 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Variational inference theory and gradients · 84 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Tighten the relative ELBO stopping threshold from 10^{-2} to 10^{-5} (ablation)ADVI · Bayesian linear regressionPSIS k-hat: 4.4 -> 0.61Helped
Use non-centered instead of centered parameterization (ablation)ADVI · Eight-Schools Modeljoint PSIS k-hat: 1.00 -> 0.64Helped
Use non-centered instead of centered parameterization (ablation)ADVI · Eight-Schools Modelbias in first and second moment estimatesHelped
Apply PSIS reweighting to the VI estimateADVI · Bayesian linear regressionestimation errorHelped
Apply PSIS reweighting instead of vanilla importance samplingADVI · Logistic regression with varying design correlationRMSE of first and second momentsHelped
Increase design-matrix correlationMean-field Gaussian ADVI · Logistic regressionPSIS k-hatHurt
Use mean-field Gaussian ADVI for the horseshoe posteriorADVI · Leukemia microarray cancer classificationPSIS k-hat: 9.8Hurt

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