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Partition Functions from Rao-Blackwellized Tempered Sampling

ICML 2016 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Posterior sampling with diffusion guidance · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use Rao-Blackwellized tempered sampling (RTS) instead of AISpartition function estimation for large RBMs · binarized MNIST RBMsestimation accuracyHelped
use RTS instead of AIS or RAISEpartition function estimation · RBMs with 500 and 100 hidden unitsbias and RMSEHelped
use RTS instead of competing estimatorspartition function estimation · 10-dimensional Gaussian mixtureRMSENo clear effect
use RTS rather than TI or TI-RB with discrete temperaturespartition function estimation · RBMsensitivity to number of temperaturesHelped
use an informative base distribution instead of a uniform base distribution (ablation)partition function estimators · 784-visible, 500-hidden MNIST RBMestimation accuracyHelped
use a uniform base distribution instead of an informative base distribution (ablation)RTS · 784-visible, 500-hidden MNIST RBMinitialization speedHurt
use RTS rather than AIS with a uniform base distributionpartition function estimation · 784-visible, 500-hidden MNIST RBMbiasHelped
increase the number of inverse temperatures after enough temperatures provide good mixing (ablation)RTS · RBMRMSENo clear effect
use a continuous-beta formulation instead of discrete temperatures (ablation)RTS · partition function estimationestimation accuracyHurt
subtract an estimated bias from RTS estimates (ablation)RTS · partition function estimationestimation accuracyNo clear effect
add control variates (ablation)RTS · partition function estimationvarianceNo clear effect
estimate the temperature probabilities from the transition matrix rather than RTS conditional probabilities (ablation)RTS · RBM with 10 hidden unitsRMSE: about 10%Helped

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