Papers › First-order Optimization for Superquantile-based Supervised Learning

First-order Optimization for Superquantile-based Supervised Learning

30 Sep 2020arXiv:2009.14575archive 2025-07-28

Yassine Laguel, Jérôme Malick, Zaid Harchaoui

Classical supervised learning via empirical risk (or negative log-likelihood) minimization hinges upon the assumption that the testing distribution coincides with the training distribution. This assumption can be challenged in modern applications of machine learning in which learning machines may operate at prediction time with testing data whose distribution departs from the one of the training data. We revisit the superquantile regression method by proposing a first-order optimization algorithm to minimize a superquantile-based learning objective. The proposed algorithm is based on smoothing the superquantile function by infimal convolution. Promising numerical results illustrate the interest of the approach towards safer supervised learning.

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