Research map / Probabilistic and scientific modeling / Variational and generative sampling
GumBolt: Extending Gumbel trick to Boltzmann priors
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use GumBolt instead of dVAE++ with k=1 training samples | VAE with BM prior · MNIST, linear | test-set log-likelihood: 90.40 -> 88.88 | Helped |
| Use GumBolt instead of dVAE++ with k=1 training samples | VAE with BM prior · OMNIGLOT, nonlinear | test-set log-likelihood: 101.97 -> 101.61 | Helped |
| Increase training importance samples from k=1 to k=20 | GumBolt · MNIST, linear | test-set log-likelihood: 88.88 -> 87.45 | Helped |
| Increase training importance samples from k=1 to k=20 | GumBolt · OMNIGLOT, two nonlinear hierarchies | test-set log-likelihood: 99.82 -> 98.81 | Helped |
| Add BM coupling weights rather than setting W to zero (ablation) | GumBolt · MNIST, linear | test-set log-likelihood: 99.94 -> 87.45 | Helped |
| Add BM coupling weights rather than setting W to zero (ablation) | GumBolt · OMNIGLOT, nonlinear | test-set log-likelihood: 107.221 -> 100.68 | Helped |
| Increase decoder network width and depth (ablation) | GumBolt-nW · MNIST | test-set log-likelihood | No clear effect |
| Use 2 PCD steps instead of the 200-step setup (ablation) | GumBolt · MNIST | test-set log-likelihood: 0.35 nats | Hurt |
| Use 20 PCD steps instead of the 200-step setup (ablation) | GumBolt · MNIST | test-set log-likelihood: 0.12 nats | Hurt |
| Vary GumBolt temperature among 1/9, 1/8, and 1/7 (ablation) | GumBolt · MNIST and OMNIGLOT | test-set log-likelihood | No clear effect |
Closest papers by meaning
- DVAE#: Discrete Variational Autoencoders with Relaxed Boltzmann Priors (NeurIPS 2018 · similarity 0.89)
- DVAE++: Discrete Variational Autoencoders with Overlapping Transformations (ICML 2018 · similarity 0.87)
- Undirected Graphical Models as Approximate Posteriors (ICML 2020 · similarity 0.86)
- Shape your Space: A Gaussian Mixture Regularization Approach to Deterministic Autoencoders (NeurIPS 2021 · similarity 0.86)
- Generative Marginalization Models (ICML 2024 · similarity 0.85)
- Learning with Restricted Boltzmann Machines: Asymptotics of AMP and GD in High Dimensions (NeurIPS 2025 · similarity 0.84)
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