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Paper · arXiv

Online learning with noisy side observations

We propose a new partial-observability model for online learning problems where the learner, besides its own loss, also observes some noisy feedback about the other actions, depending on the underlying structure of the problem. We represent this structure by a weighted directed graph, where the edge weights are related to the quality of the feedback shared by the connected nodes. Our main contribution is an efficient algorithm that guarantees a regret of $\widetilde{O}(\sqrt{α^* T})$ after $T$ rounds, where $α^*$ is a novel graph property that we call the effective independence number. Our algorithm is completely parameter-free and does not require knowledge (or even estimation) of $α^*$....

AuthorsTomáš Kocák, Gergely Neu, Michal Valko
Primary categorycs.LG
Published15 April 2026
Last updated at source15 April 2026
cs.LGstat.ML
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