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Article
Automation & Control Systems
The multimarginal optimal transport formulation of adversarial multiclass classification
Nicolas Garcia Trillos et al.
Summary: This study examines a family of adversarial multiclass classification problems and provides equivalent reformulations using two different approaches. The results reveal the geometric structure of these problems and extend previous findings in binary classification. Furthermore, computational implications suggest that our solutions can recover optimal classification rules and adversarial strategies for the original problem.
JOURNAL OF MACHINE LEARNING RESEARCH (2023)