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Improving Lossless Compression Rates via Monte Carlo Bits-Back Coding

ICML 2021 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Sequential Monte Carlo for inference · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace BB-ELBO with importance-sampling bits-back coding using N particlesVAE and VQ-VAE latent-variable compressors · MNIST and CIFAR-10 test setsbits/dim: MNIST: 0.236 -> 0.230 (ELBO); 0.236 -> 0.228 (IWAE). CIFAR-10: 4.898 -> 4.857 (ELBO); 4.898 -> 4.810 (IWAE)Helped
Increase the number of importance-sampling particles from 5 to N (ablation)BB-IS · MNIST and CIFAR-10 test setsbits/dim: MNIST ELBO: 0.232 -> 0.230; MNIST IWAE: 0.231 -> 0.228; CIFAR-10 ELBO: 4.866 -> 4.857; CIFAR-10 IWAE: 4.827 -> 4.810Helped
Train the model with the corresponding IWAE bound and match the particle count at compression (ablation)BB-IS · MNIST and CIFAR-10 test setsbits/dim: MNIST: 0.230 -> 0.228; CIFAR-10: 4.857 -> 4.810Helped
Use BB-IS rather than BB-ELBO on transferred, out-of-distribution dataVAE · EMNIST-MNIST and Letters test sets under both training distributionsbits/dim: 0.236 -> 0.228; 0.310 -> 0.280; 0.257 -> 0.244; 0.250 -> 0.239Helped
Couple particle randomness to reduce the initial-bit cost (ablation)BB-IS, producing BB-CIS · MNIST and Letters test setstotal bitrate (bits/dim): MNIST: 0.230 -> 0.228; Letters: 0.241 -> 0.239Helped
Use coupled particles instead of independent particles (ablation)BB-IS · Synthetic mixture modelnet bitrateNo clear effect
Use BB-SMC rather than BB-IS with the same particle countVRNN music compression · MuseData, Nottingham, JSB, and Piano-midi.de test setsbits/timestep: MuseData: 10.66 -> 9.58; Nottingham: 4.86 -> 4.76; JSB: 12.03 -> 10.92; Piano-midi.de: 11.38 -> 11.20Helped
Use BB-SMC rather than BB-ELBOVRNN music compression · MuseData, Nottingham, JSB, and Piano-midi.de test setsbits/timestep: MuseData: 10.66 -> 9.58; Nottingham: 5.87 -> 4.76; JSB: 12.53 -> 10.92; Piano-midi.de: 11.43 -> 11.20Helped
Replace importance sampling with sequential Monte Carlo resampling (ablation)Bits-back coding on a toy HMM · Toy HMMnet bitrate convergenceHelped
Apply BitSwap to BB-AIS (ablation)BB-AIS · Synthetic mixture modelnet bitrate convergence to entropyHurt
Apply amortized-iterative inference to BB-IS (ablation)BB-IS lossy image compression · EMNIST-MNIST test setnet bitrate savingsHelped
Use BB-IS in place of BB-ELBOTwo-layer VAE with hyperprior · EMNIST-MNIST lossy compressionnet bitrate savings: more than 15 %Helped

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