Research map / Probabilistic and scientific modeling / Variational and generative sampling
Improving Lossless Compression Rates via Monte Carlo Bits-Back Coding
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace BB-ELBO with importance-sampling bits-back coding using N particles | VAE and VQ-VAE latent-variable compressors · MNIST and CIFAR-10 test sets | bits/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 sets | bits/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 -> 4.810 | Helped |
| Train the model with the corresponding IWAE bound and match the particle count at compression (ablation) | BB-IS · MNIST and CIFAR-10 test sets | bits/dim: MNIST: 0.230 -> 0.228; CIFAR-10: 4.857 -> 4.810 | Helped |
| Use BB-IS rather than BB-ELBO on transferred, out-of-distribution data | VAE · EMNIST-MNIST and Letters test sets under both training distributions | bits/dim: 0.236 -> 0.228; 0.310 -> 0.280; 0.257 -> 0.244; 0.250 -> 0.239 | Helped |
| Couple particle randomness to reduce the initial-bit cost (ablation) | BB-IS, producing BB-CIS · MNIST and Letters test sets | total bitrate (bits/dim): MNIST: 0.230 -> 0.228; Letters: 0.241 -> 0.239 | Helped |
| Use coupled particles instead of independent particles (ablation) | BB-IS · Synthetic mixture model | net bitrate | No clear effect |
| Use BB-SMC rather than BB-IS with the same particle count | VRNN music compression · MuseData, Nottingham, JSB, and Piano-midi.de test sets | bits/timestep: MuseData: 10.66 -> 9.58; Nottingham: 4.86 -> 4.76; JSB: 12.03 -> 10.92; Piano-midi.de: 11.38 -> 11.20 | Helped |
| Use BB-SMC rather than BB-ELBO | VRNN music compression · MuseData, Nottingham, JSB, and Piano-midi.de test sets | bits/timestep: MuseData: 10.66 -> 9.58; Nottingham: 5.87 -> 4.76; JSB: 12.53 -> 10.92; Piano-midi.de: 11.43 -> 11.20 | Helped |
| Replace importance sampling with sequential Monte Carlo resampling (ablation) | Bits-back coding on a toy HMM · Toy HMM | net bitrate convergence | Helped |
| Apply BitSwap to BB-AIS (ablation) | BB-AIS · Synthetic mixture model | net bitrate convergence to entropy | Hurt |
| Apply amortized-iterative inference to BB-IS (ablation) | BB-IS lossy image compression · EMNIST-MNIST test set | net bitrate savings | Helped |
| Use BB-IS in place of BB-ELBO | Two-layer VAE with hyperprior · EMNIST-MNIST lossy compression | net bitrate savings: more than 15 % | Helped |
Closest papers by meaning
- Practical lossless compression with latent variables using bits back coding (ICLR 2019 · similarity 0.91)
- Bit-Swap: Recursive Bits-Back Coding for Lossless Compression with Hierarchical Latent Variables (ICML 2019 · similarity 0.88)
- Compression with Flows via Local Bits-Back Coding (NeurIPS 2019 · similarity 0.88)
- Beyond Communication Overhead: A Multilevel Monte Carlo Approach for Mitigating Compression Bias in Distributed Learning (ICML 2025 · similarity 0.85)
- Progressive Compression with Universally Quantized Diffusion Models (ICLR 2025 · similarity 0.85)
- Approaching Rate-Distortion Limits in Neural Compression with Lattice Transform Coding (ICLR 2025 · similarity 0.85)
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