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Found 3 papers, 2 papers with code
An Optimal Transport Approach for Computing Adversarial Training Lower Bounds in Multiclass Classification
Recent works have developed a connection between AT in the multiclass classification setting and multimarginal optimal transport (MOT), unlocking a new set of tools to study this problem.
On the existence of solutions to adversarial training in multiclass classification
We study three models of the problem of adversarial training in multiclass classification designed to construct robust classifiers against adversarial perturbations of data in the agnostic-classifier setting.
The Multimarginal Optimal Transport Formulation of Adversarial Multiclass Classification
We study a family of adversarial multiclass classification problems and provide equivalent reformulations in terms of: 1) a family of generalized barycenter problems introduced in the paper and 2) a family of multimarginal optimal transport problems where the number of marginals is equal to the number of classes in the original classification problem.
