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Variational Russian Roulette for Deep Bayesian Nonparametrics

ICML 2019 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Annealing and divergence-based variational objectives · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace fixed truncation with Russian roulette adaptive truncation (RRS-IBP)infinite VAE with IBP prior · SYNTHIWAE testing: 44.93 vs 43.28 (MF-IBP) and 42.47 (S-IBP)Helped
Replace fixed truncation with Russian roulette adaptive truncation (RRS-IBP)infinite VAE with IBP prior · MNISTactivated features K~: 14 vs 50 (fixed truncation)Helped
Replace fixed truncation with Russian roulette adaptive truncation (RRS-IBP)infinite VAE with IBP prior · MNISTIWAE testing: -104.54 vs -104.28 (S-IBP)No clear effect
Replace fixed truncation with Russian roulette adaptive truncation (RRS-IBP)infinite VAE with IBP prior · Fashion-MNISTIWAE testing: -240.34 vs -241.52 (S-IBP) and -244.15 (MF-IBP)Helped
Replace fixed truncation with Russian roulette adaptive truncation (RRS-IBP)infinite VAE with IBP prior · Fashion-MNISTactivated features K~: 9 vs 50Helped
Replace fixed truncation with Russian roulette adaptive truncation (RRS-IBP)infinite VAE with IBP prior · MNIST running timetime per iteration (s): about 1.35x speed-up vs fixed truncation of 50Helped
Replace fixed truncation with Russian roulette adaptive truncation (RRS-IBP)infinite VAE with IBP prior · SYNTH linear-Gaussianexpected features per image M (true value 2.275): 3.464 vs 5.647 (MF-IBP) and 6.021 (S-IBP)Helped
Use fixed truncation with structured inference (S-IBP) rather than mean-field (MF-IBP) (ablation)infinite VAE with IBP prior · MNIST and Fashion-MNISTIWAE testing: -104.28 vs -111.45 (MNIST); -241.52 vs -244.15 (Fashion-MNIST)Helped
Increase fixed truncation level of S-IBP from 14-ish inferred size to 50 (dummy features) (ablation)S-IBP with deep decoder · MNISTtest IWAE with first k features: IWAE maxes out right after non-collapsed features; extra features add nothingNo clear effect

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