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Research map / Learning theory and algorithms / Submodular and game algorithms

Do GANs always have Nash equilibria?

ICML 2020 · Learning theory and algorithms › Submodular and game algorithms · approach: Equilibrium solvers for adversarial games · 30 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
proximal training (Algorithm 1) instead of regular GAN trainingWGAN-WC and SN-GAN · CIFAR-10Inception score: e.g., WGAN-WC DIM=128 2.52 to 4.23; SN-GAN DIM=64 5.12 to 5.72Helped
optimizing generator against fixed trained discriminator (non-equilibrium check)SN-GAN regular training · MNIST and CelebAGAN objective and sample qualityHurt
optimizing proximal objective (lambda=0.1) over generator with fixed discriminator (ablation)SN-GAN · MNIST and CelebAGAN objective and sample qualityNo clear effect

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