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On Characterizing GAN Convergence Through Proximal Duality Gap

ICML 2021 · Learning theory and algorithms › Submodular and game algorithms · approach: Equilibrium solvers for adversarial games · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use proximal duality gap instead of duality gap to monitor trainingWGAN · MNIST, CIFAR-10, CELEB-APearson correlation with IS: MNIST: -0.752 -> -0.892; CIFAR-10: -0.368 -> -0.854; CELEB-A: -0.213 -> -0.524Helped
Use proximal duality gap instead of duality gap to monitor trainingWGAN · MNIST, CIFAR-10, CELEB-APearson correlation with FID: MNIST: 0.845 -> 0.957; CIFAR-10: 0.213 -> 0.738; CELEB-A: 0.263 -> 0.699Helped
Increase λ beyond the small-value range (ablation)Proximal DG for converged WGAN · CELEB-A, CIFAR-10, MNISTProximal duality gap: DGλ increases sharply past 10¹ for CELEB-A and CIFAR-10, and past 10⁴ for MNISTHurt
Use λ in the range [10⁻²,1] rather than larger values (ablation)Proximal DG for converged WGAN · MNIST, CIFAR-10, CELEB-AProximal duality gap: λ in [10⁻²,1]No clear effect
Increase the number of discriminator updates per generator update (ablation)WGAN · MNISTProximal duality gap: N in the range -10 to 10; DGλ increases with NHurt
Increase the number of discriminator updates per generator update (ablation)WGAN · MNISTGenerated sample quality: N in the range -10 to 10Hurt

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