1 code implementation • 17 Jan 2024 • Nicolas Garcia Trillos, Matt Jacobs, Jakwang Kim, Matthew Werenski
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.
1 code implementation • 30 May 2023 • Leon Bungert, Nicolás García Trillos, Matt Jacobs, Daniel Mckenzie, Đorđe Nikolić, Qingsong Wang
Although deep neural networks have achieved super-human performance on many classification tasks, they often exhibit a worrying lack of robustness towards adversarially generated examples.
no code implementations • 28 Apr 2023 • Nicolas Garcia Trillos, Matt Jacobs, Jakwang Kim
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.
1 code implementation • 27 Apr 2022 • Nicolas Garcia Trillos, Matt Jacobs, Jakwang Kim
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.