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Inference Suboptimality in Variational Autoencoders

ICML 2018 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Structured latent VAEs · 79 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use q_AF instead of q_FFGVAE · Fashion-MNISTinference gap (nats): 7.28 -> 6.35Helped
use q_AF instead of q_FFGVAE · 3-BIT CIFARinference gap (nats): 52.22 -> 43.72Helped
use q_AF instead of q_FFGVAE · MNISTinference gap (nats): 2.77 -> 2.85Hurt
use q_AF instead of q_FFGVAE · Fashion-MNIST and 3-BIT CIFARapproximation gap (nats): 3.06 -> 1.69; 14.75 -> 1.60Helped
use q_AF instead of q_FFGVAE · MNIST and 3-BIT CIFARamortization gap (nats): 1.34 -> 1.41; 37.47 -> 42.12Mixed
increase encoder capacity (ablation)VAE with q_FFG or q_AF · MNIST and Fashion-MNISTamortization gap: MNIST q_FFG: 1.49 -> 1.11; q_AF: 1.30 -> 0.75; Fashion-MNIST q_FFG: 3.05 -> 3.09; q_AF: 2.29 -> 3.76Helped
replace q_FFG with q_AF (ablation)small encoder with fixed VAE decoder · MNISTamortization gap (nats): 43.22 -> 13.10Helped
replace q_FFG with q_Flow (ablation)small encoder with fixed VAE decoder · MNISTamortization gap (nats): 43.22 -> 12.86Helped
increase generator capacity from 0 to 4 hidden layers (ablation)VAE with q_FFG · MNISTapproximation gap (nats): 3.90 -> 1.63Helped
remove entropy annealing (ablation)VAE with q_FFG and q_AF · MNIST and Fashion-MNISTdifference between optimal FFG and AF bounds: MNIST q_AF: -108.71 vs -92.25; Fashion-MNIST q_AF: -129.70 vs -105.80Hurt
use a larger encoder instead of the flow model (ablation)VAE inference on held-out Fashion-MNIST · Fashion-MNIST validation setamortized ELBOHurt
increase decoder capacity (ablation)VAE · Fashion-MNIST training and validationamortization gapMixed

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