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Preventing Posterior Collapse with delta-VAEs

ICLR 2019 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Hierarchical VAEs and posterior collapse · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add an auxiliary prior (ablation)δ-VAE + PixelSNAIL · CIFAR-10 testnegative log-likelihood (bits/dim): ≤ 2.85 (0.02) -> ≤ 2.83 (0.01)Helped
Add an auxiliary prior (ablation)δ-VAE + PixelSNAIL · ImageNet 32×32 validnegative log-likelihood (bits/dim): ≤ 3.78 (0.08) -> ≤ 3.77 (0.07)Helped
Add an auxiliary priorδ-VAE with Transformer decoder · LM1Bnegative log-likelihood (nats/token): ≤ 3.61 (0.2) -> ≤ 3.58(0.17)Helped
Use a temporal AR(1) prior instead of an independent Gaussian posterior setup (ablation)δ-VAE (δ=0.08) · CIFAR-10 testnegative log-likelihood (table's Test ELBO): 3.08 (0.08) -> 3.02 (0.09)Helped
Use a temporal AR(1) prior instead of an independent Gaussian posterior setup (ablation)δ-VAE (δ=0.08) · CIFAR-10linear classification accuracy: 66% -> 65%Hurt
Use an anti-causal encoder instead of a non-causal encoder (ablation)Temporal δ-VAE with AR(1) prior · CIFAR-10, low-rate, 6-layer decoder with no attentionnegative log-likelihood: 3.04 (0.02) -> 3.07 (0.02)Hurt
Use an anti-causal encoder instead of a non-causal encoder (ablation)Temporal δ-VAE with AR(1) prior · CIFAR-10, low-rate, 8-layer decoder with attentionnegative log-likelihood: 3.01 (0.03) -> 3.01 (0.03)No clear effect
Use an anti-causal encoder instead of a non-causal encoder (ablation)Temporal δ-VAE with AR(1) prior · CIFAR-10, high-rate, 8-layer decoder with attentionnegative log-likelihood: 3.32 (0.22) -> 3.22 (0.22)Helped
Use an anti-causal encoder instead of a non-causal encoder (ablation)Temporal δ-VAE with AR(1) prior · CIFAR-10, low-rate, large decodernegative log-likelihood: 2.88 (0.05) -> 2.87 (0.05)Helped
Use an anti-causal encoder instead of a non-causal encoder (ablation)Temporal δ-VAE with auxiliary prior · CIFAR-10, high-rate, 8-layer decoder with attentionnegative log-likelihood: 3.11 (0.02) -> 3.03 (0.03)Helped
Use an anti-causal encoder instead of a non-causal encoder (ablation)Temporal δ-VAE with auxiliary prior · CIFAR-10, low-rate, 6-layer decoder with no attentionnegative log-likelihood: 3.03 (0.01) -> 3.06 (0.01)Hurt
Use anti-causal rather than non-causal encoder structure (ablation)Temporal δ-VAE · CIFAR-10posterior collapse: < 10^{-8} bits per dimensionNo clear effect

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