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MCMC Should Mix: Learning Energy-Based Model with Neural Transport Latent Space MCMC

ICLR 2022 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Posterior sampling with diffusion guidance · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Exponentially tilt the Glow reference with an energy correction and train using neural-transport MCMCGlow · MNISTFID: 66.04 -> 21.32Helped
Exponentially tilt the Glow reference with an energy correction and train using neural-transport MCMCGlow · SVHNFID: 94.23 -> 48.01Helped
Exponentially tilt the Glow reference with an energy correction and train using neural-transport MCMCGlow · CelebAFID: 59.35 -> 46.38Helped
Exponentially tilt the Glow reference with an energy correction and train using neural-transport MCMCGlow · CIFAR-10FID: 90.08 -> 78.12Helped
Train the correction with NCE rather than neural-transport MCMCGlow-backed EBM · MNISTFID: 21.32 -> 36.52Hurt
Train the correction with NCE rather than neural-transport MCMCGlow-backed EBM · SVHNFID: 48.01 -> 79.84Hurt
Train the correction with NCE rather than neural-transport MCMCGlow-backed EBM · CelebAFID: 46.38 -> 51.73Hurt
Use neural-transport HMC in latent space instead of HMC in data spaceEBM sampling · SVHNGelman-Rubin statistic (mean R-hat)Helped
Use neural-transport HMC in latent space instead of over-damped Langevin in latent spaceEBM sampling · SVHNautocorrelation decay lag: within Δt = 200 steps; Δt > 1,000 stepsHelped
Increase the flow backbone from Small to Medium (ablation)NT-EBM · SVHNFID: 74.77 -> 48.01Helped
Increase the flow backbone from Medium to Large (ablation)NT-EBM · SVHNFID: 48.01 -> 43.82Helped
Increase Glow backbone size from Small to Largest (ablation)Glow (MLE) · SVHNFID: 110.55 -> 86.18Helped

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