Research map / Probabilistic and scientific modeling / Variational and generative sampling
Partition Functions from Rao-Blackwellized Tempered Sampling
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use Rao-Blackwellized tempered sampling (RTS) instead of AIS | partition function estimation for large RBMs · binarized MNIST RBMs | estimation accuracy | Helped |
| use RTS instead of AIS or RAISE | partition function estimation · RBMs with 500 and 100 hidden units | bias and RMSE | Helped |
| use RTS instead of competing estimators | partition function estimation · 10-dimensional Gaussian mixture | RMSE | No clear effect |
| use RTS rather than TI or TI-RB with discrete temperatures | partition function estimation · RBM | sensitivity to number of temperatures | Helped |
| use an informative base distribution instead of a uniform base distribution (ablation) | partition function estimators · 784-visible, 500-hidden MNIST RBM | estimation accuracy | Helped |
| use a uniform base distribution instead of an informative base distribution (ablation) | RTS · 784-visible, 500-hidden MNIST RBM | initialization speed | Hurt |
| use RTS rather than AIS with a uniform base distribution | partition function estimation · 784-visible, 500-hidden MNIST RBM | bias | Helped |
| increase the number of inverse temperatures after enough temperatures provide good mixing (ablation) | RTS · RBM | RMSE | No clear effect |
| use a continuous-beta formulation instead of discrete temperatures (ablation) | RTS · partition function estimation | estimation accuracy | Hurt |
| subtract an estimated bias from RTS estimates (ablation) | RTS · partition function estimation | estimation accuracy | No clear effect |
| add control variates (ablation) | RTS · partition function estimation | variance | No clear effect |
| estimate the temperature probabilities from the transition matrix rather than RTS conditional probabilities (ablation) | RTS · RBM with 10 hidden units | RMSE: about 10% | Helped |
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