Reproduce “Wasserstein GAN” on OpenResearch

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About this paper

Martin Arjovsky, Soumith Chintala, Léon Bottou

This work by Arjovsky, Chintala, and Bottou introduces the Wasserstein GAN (WGAN), a generative adversarial network that replaces traditional f-divergences with the Earth Mover's (Wasserstein-1) distance. The WGAN framework stabilizes GAN training, provides a loss metric that correlates with sample quality, and reduces mode collapse, particularly demonstrating robustness across various generator architectures.

Key insights

  • The Wasserstein-1 distance induces a 'weaker' topology compared to f-divergences (KL, JS), ensuring continuity and differentiability of the loss function, which resolves the vanishing gradient problem.
  • The WGAN critic's loss directly approximates the Earth Mover's distance, providing a reliable and interpretable metric that correlates with the visual quality of generated samples throughout training.
  • Training the critic to optimality, as opposed to balancing discriminator and generator, provides stable, non-saturating gradients, facilitating robust generator updates.

Summary by alphaXiv.

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