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Scalable Nonparametric Sampling from Multimodal Posteriors with the Posterior Bootstrap

ICML 2019 · Probabilistic and scientific modeling › Uncertainty and Gaussian processes · approach: Nonparametric and PAC-Bayes Bayesian learning · 22 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use posterior-bootstrap sampling with random restartsNPL on Toy GMM · Toy GMMposterior mode coverageHelped
Use RR-NPL instead of NUTSToy GMM · Toy GMMLPPD: -1.908 -> -1.909No clear effect
Use RR-NPL instead of NUTSToy GMM · Toy GMMrun-time for 2000 samples: 1m20s ± 16s -> 37.2s ± 4.5sHelped
Use FI-NPL instead of ADVIMNIST GMM · MNISTLPPD: 1188.2 -> 2463.4 ±24.1Helped
Use Loss-NPL instead of ADVIsparse logistic regression · AdultLPPD: -0.327 ± 0.004 -> -0.326±0.004No clear effect
Use Loss-NPL instead of ADVIsparse logistic regression · PolishLPPD: -0.247 ± 0.047 -> -0.229 ± 0.034Helped
Use Loss-NPL instead of ADVIsparse logistic regression · ArceneLPPD: -0.445 ±0.068 -> -0.449 ± 0.104No clear effect
Use Loss-NPL instead of NUTSsparse logistic regression · ArceneLPPD: -0.464 ± 0.032 -> -0.449 ± 0.104Helped
Use Loss-NPL instead of NUTSsparse logistic regression · PolishLPPD: -3.336± 4.162 -> -0.229 ± 0.034Helped
Increase random restarts from R=1 to R=10 (ablation)RR-NPL on toy separable GMM · Toy separable GMMposterior mode representationHelped
Increase random restarts from R=1 to R=10 (ablation)RR-NPL on toy separable GMM · Toy separable GMMrun-time for 2000 posterior samples: 4.9 ± 0.6 -> 37.2s ± 4.5sHurt
Use fixed initialization rather than random initialization (ablation)NPL on GMM · Toy GMMlabel-switchingHelped

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