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Wasserstein GAN and gradient-penalty training

Contribution grade

Adversarial generative learning · Human-designed research method or resource

Reference score200,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Used a Lipschitz-constrained critic motivated by Wasserstein-1 duality, then replaced restrictive weight clipping with a sampled input-gradient penalty to improve practical adversarial training.

Scientific scope

Used a Lipschitz-constrained critic motivated by Wasserstein-1 duality, then replaced restrictive weight clipping with a sampled input-gradient penalty to improve practical adversarial training. Wasserstein duality is inherited mathematics. A finite-capacity imperfect critic and sampled soft penalty do not compute the exact distance or enforce global1-Lipschitzness. Optimal-critic theory does not prove convergence of every practical GAN; training gains and failure modes are source-reported.

Evidence

The linked original sources describe the stated contribution and its evidence limits. WRS has not independently rerun the experiments or certified a proof. Wasserstein duality is inherited mathematics. A finite-capacity imperfect critic and sampled soft penalty do not compute the exact distance or enforce global1-Lipschitzness. Optimal-critic theory does not prove convergence of every practical GAN; training gains and failure modes are source-reported.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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