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Pliable Rejection Sampling

ICML 2016 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Posterior sampling with diffusion guidance

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use pliable kernel-estimate proposal instead of uniform proposal (PRS vs SRS)rejection sampling · 2D example, n=10^6acceptance rate: 25.0% -> 66.4%Helped
use PRS instead of SRSrejection sampling · Clutter 1D, n=10^5acceptance rate: 17.6% -> 79.5%Helped
use PRS instead of SRSrejection sampling · Clutter 2D, n=10^5acceptance rate: 2.10−3% -> 51,0%Helped
compare PRS with A* sampling (which is given extra decomposition information)PRS · 2D example, n=10^6acceptance rate: 66.4% -> 76.1%Hurt
compare PRS with A* samplingPRS · Clutter 1D, n=10^5acceptance rate: 79.5% -> 89.4%Hurt
compare PRS with A* samplingPRS · Clutter 2D, n=10^5acceptance rate: 51,0% -> 56.1%Hurt
increase evaluation budget n from 10^4 to 10^5 (Fig 3a vs 3b)PRS · peaked target e^-x/(1+x)^aacceptance rateHelped
PRS vs A* sampling across peakiness a in {2,5,10,15,20}PRS · peaked target e^-x/(1+x)^aacceptance rateHelped

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