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The Numerics of GANs

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arxiv 1705.10461 v3 pith:LWJURJCF submitted 2017-05-30 cs.LG

classification cs.LG
keywords convergencetrainingalgorithmsanalyzearchitecturescommoneigenvaluesfield
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In this paper, we analyze the numerics of common algorithms for training Generative Adversarial Networks (GANs). Using the formalism of smooth two-player games we analyze the associated gradient vector field of GAN training objectives. Our findings suggest that the convergence of current algorithms suffers due to two factors: i) presence of eigenvalues of the Jacobian of the gradient vector field with zero real-part, and ii) eigenvalues with big imaginary part. Using these findings, we design a new algorithm that overcomes some of these limitations and has better convergence properties. Experimentally, we demonstrate its superiority on training common GAN architectures and show convergence on GAN architectures that are known to be notoriously hard to train.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nested Annealed Training Scheme for Generative Adversarial Networks

    cs.CV 2025-01 reject novelty 4.0 of 10

    NATS, a nested annealed training scheme for GANs, is claimed to improve FID/IS on CIFAR10, LSUN, CelebA, and ImageNet64, but its key theoretical justification is not provided in the preprint.

  2. A New Formulation of Lipschitz Constrained With Functional Gradient Learning for GANs

    cs.CV 2025-01 reject novelty 4.0 of 10

    Li-CFG adds an ε-centered gradient penalty to the CFG GAN method and claims this enlarges the discriminator gradient norm, shrinking the latent neighborhood size and thereby increasing image diversity.

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