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Exploiting Chain Rule and Bayes' Theorem to Compare Probability Distributions

NeurIPS 2021 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Posterior sampling with diffusion guidance · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the original GAN criterion with the CT costDCGAN · CIFAR-10FID: 30.2 -> 22.1Helped
Replace the original criterion with the CT costSNGAN · CelebAFID: 21.7 -> 9.2Helped
Replace the original criterion with the CT costStyleGAN2 · CIFAR-10FID: 5.8 -> 2.9Helped
Replace the original criterion with the CT costMMD-GAN · LSUN-bedroomFID: 32.0 -> 38.3Hurt
Replace the original criterion with the CT costStyleGAN2 · LSUN-bedroomFID: 2.9 -> 6.3Hurt
Add CT cost to base modelsDCGAN, SWG, MMD-GAN, SNGAN, StyleGAN2 · CIFAR-10Inception Score: 6.2 -> 7.5Helped
Use adversarially trained CT feature encoder instead of a discriminator-trained encoder (ablation)CT · CIFAR-10FID: 29.7 -> 22.1Helped
Use adversarially trained CT encoder instead of a sliced Wasserstein encoder (ablation)CT · CIFAR-10FID: 32.4 -> 22.1Helped
Use CT as the generator loss instead of MMD (rational quadratic kernel, MMD critic) (ablation)MMD-GAN · CIFAR-10FID: 39.9 -> 24.1Helped
Train critic with CT instead of MMD (rational quadratic kernel, MMD generator loss) (ablation)MMD-GAN · CIFAR-10FID: 39.9 -> 41.4No clear effect
Train critic with CT instead of MMD (distance kernel, MMD generator loss) (ablation)MMD-GAN · CIFAR-10FID: 40.3 -> 30.9Helped
Use only forward CT (rho=1) instead of rho=0.5 (ablation)CT-DCGAN · CIFAR-10FID: 22.1 -> 25.1Hurt

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