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- W4315705773 abstract "We propose iterative algorithms to solve adversarial problems in a variety of supervised learning settings of interest. Our algorithms, which can be interpreted as suitable ascent-descent dynamics in Wasserstein spaces, take the form of a system of interacting particles. These interacting particle dynamics are shown to converge toward appropriate mean-field limit equations in certain large number of particles regimes. In turn, we prove that, under certain regularity assumptions, these mean-field equations converge, in the large time limit, toward approximate Nash equilibria of the original adversarial learning problems. We present results for nonconvex-nonconcave settings, as well as for nonconvex-concave ones. Numerical experiments illustrate our results." @default.
- W4315705773 created "2023-01-12" @default.
- W4315705773 creator A5058626346 @default.
- W4315705773 date "2023-01-09" @default.
- W4315705773 modified "2023-09-26" @default.
- W4315705773 title "On adversarial robustness and the use of Wasserstein ascent-descent dynamics to enforce it" @default.
- W4315705773 doi "https://doi.org/10.48550/arxiv.2301.03662" @default.
- W4315705773 hasPublicationYear "2023" @default.
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