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Bit-Swap: Recursive Bits-Back Coding for Lossless Compression with Hierarchical Latent Variables

ICML 2019 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Latent variable marginalization and estimators · 56 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace BB-ANS with recursive Bit-Swap codingHierarchical latent variable model · MNISTcompression rate (bits/dim): 1.48 -> 1.29Helped
Replace BB-ANS with recursive Bit-Swap codingHierarchical latent variable model · CIFAR-10compression rate (bits/dim): 4.19 -> 3.82Helped
Replace BB-ANS with recursive Bit-Swap codingHierarchical latent variable model · ImageNet (32×32)compression rate (bits/dim): 4.66 -> 4.50Helped
Replace BB-ANS with recursive Bit-Swap codingHierarchical latent variable model · ImageNet (unscaled & cropped)compression rate (bits/dim): 3.62 -> 3.51Helped
Use Bit-Swap rather than BB-ANSDepth-8 hierarchical latent variable model · MNIST testinitial bitrate (bits/dim): 21.93 ± 0.34 -> 3.34 ± 0.33Helped
Use Bit-Swap rather than BB-ANSDepth-8 hierarchical latent variable model · CIFAR-10 testinitial bitrate (bits/dim): 44.24 ± 0.87 -> 6.53 ± 0.74Helped
Increase latent depth from 1 to 8 (ablation)Hierarchical latent variable model · MNISTnegative ELBO (bits/dim): 1.35 -> 1.27Helped
Increase latent depth from 1 to 8 (ablation)Hierarchical latent variable model · CIFAR-10negative ELBO (bits/dim): 4.57 -> 3.78Helped
Increase latent depth from 1 to 4 (ablation)Hierarchical latent variable model · ImageNet (32×32)negative ELBO (bits/dim): 4.94 -> 4.48Helped
Increase latent depth from 2 to 8 (ablation)BB-ANS · MNIST testCMA compression rate at n=100 (bits/dim): 1.33 ± 0.03 -> 1.48 ± 0.03Hurt
Increase latent depth from 2 to 8 (ablation)Bit-Swap · MNIST testCMA compression rate at n=100 (bits/dim): 1.30 ± 0.03 -> 1.29 ± 0.03No clear effect
Increase latent depth from 2 to 8 (ablation)BB-ANS · CIFAR-10 testCMA compression rate at n=100 (bits/dim): 3.93 ± 0.08 -> 4.19 ± 0.09Hurt

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