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Perturbative Black Box Variational Inference

NeurIPS 2017 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Variational inference theory and gradients · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use PBBVI (K = 3) instead of KLVIGaussian Process regression · GP regression synthetic dataaverage variance: 0.0176 -> 0.0355; analytic 0.0415Helped
Use PBBVI (K = 3) instead of KLVIGaussian Process classification · Crab test seterror rate: 0.22 -> 0.11Helped
Use PBBVI (K = 3) instead of KLVIGaussian Process classification · Pima test seterror rate: 0.245 -> 0.240Helped
Use PBBVI (K = 3) instead of KLVIGaussian Process classification · Heart test seterror rate: 0.148 -> 0.1333Helped
Use PBBVI (K = 3) instead of KLVIGaussian Process classification · Sonar test seterror rate: 0.212 -> 0.1731Helped
Use PBBVI (K = 3) instead of alpha-VI with α = 0.5Gaussian Process classification · Sonarconvergence speed: an order of magnitude fasterHelped
Use PBBVI (K = 3) instead of alpha-VIGaussian Process regression · synthetic data across latent dimensionsgradient sampling varianceHelped
Use PBBVI (K = 3) instead of KLVIVariational Autoencoder · MNIST test set, smaller training subsetspredictive log-likelihoodHelped
Increase perturbation order from K = 1 to K = 3 (ablation)PBBVI variational inference · generalbound tightnessHelped
Increase perturbation order (ablation)PBBVI variational inference · generalgradient varianceHurt
Use KLVI instead of PBBVI (ablation)Variational Autoencoder · MNIST with larger training setspredictive log-likelihoodNo clear effect

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