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Paper · arXiv

Learning the Robustness Mechanism with Bilevel Optimization

We propose a distributionally robust learning framework where parameters defining the robustness mechanism are learned from held-out data instead of extensively tuned. Using bilevel optimization with both upper and lower level minimax problems, we create two instances of our framework to tackle setups with and without group labels in the training set. Theoretically, we provide sample complexity analysis for our robustness mechanism learning paradigm, showing that it achieves generalization guarantees comparable to exhaustive grid search while being more computationally efficient. Empirically, we evaluate our framework under a challenging setup when both intra-group and inter-group test di...

AuthorsYiyang Shen, Qihang Lin, Weiran Wang
Primary categorycs.LG
Published28 September 2026
Last updated at source28 September 2026
cs.LG
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