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Brenier Meets Adversarial Training: Optimal Transport Geometry for Robust Learning

Penalized DRO reformulates adversarial risk via optimal transport maps that are cyclically monotone, and enforcing this property via multi-start particle ascent or input-convex networks improves robustness over standard adversarial training.

alireza abdollahpour, Ehsan Sharifian, Buse Şen, Marco Cuturi and 1 more

Sydney Poster Session 4, Wed, Dec 9, 5:00 PM–8:00 PM, Hall 1-4 · Published 2026

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AI panel: 16 of 20 reviewers recommend it
lenient 4/5
medium 9/10
strict 3/5