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(f,Gamma)-Divergences: Interpolating between f-Divergences and Integral Probability Metrics

NeurIPS 2022 · Learning theory and algorithms › Sample complexity · approach: Minimax estimation rates

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
train GAN with Lipschitz alpha-divergence instead of f-GANf-GAN · heavy-tailed low-dimensional sub-manifold distributionsconvergenceHelped
train GAN with Lipschitz alpha-divergence instead of WGAN-GPWGAN-GP · heavy-tailed low-dimensional sub-manifold distributionsconvergenceHelped
use (f,Gamma)-GAN instead of WGAN-GPWGAN-GP · CIFAR-10 image generationinception score and FIDHelped
use (f,Gamma)-GAN instead of WGAN with spectral normalizationWGAN-SN · CIFAR-10 image generationinception score and FIDHelped
increase learning rate for (f,Gamma)-GAN versus WGANWGAN · GAN training stabilitytraining stabilityHelped
use cumulant-generating-function form (log E exp g) instead of E f*_KL(g) for KL-GAN (ablation)Lipschitz KL-GAN · GAN trainingnumerical performanceHelped

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