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Paper · arXiv

When More Objectives Make Identification Easier: The Role of Preferences and Feedback

Best-arm identification (BAI) aims to identify the optimal arm using as few samples as possible. While most existing work focuses on a single objective, many real-world applications involve multiple criteria, which motivates the study of BAI in multi-objective bandits. Intuitively, multi-objective identification seems harder, since the learner must identify optimal arms in a higher-dimensional reward space; however, the additional objectives also provide richer feedback that can reduce the required exploration. In this paper, we characterize when and why multiple objectives can make BAI easier. For Gaussian bandits, we establish a characteristic-time lower bound for fixed-confidence ident...

AuthorsBo Xue, Ji Cheng, Yuanyu Wan et al.
Primary categorycs.LG
Published13 October 2026
Last updated at source13 October 2026
cs.LGcs.AI
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