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Paper · arXiv

Dynamic Regret in Online Convex Optimization with Indicator Switching Costs

We study dynamic regret in online convex optimization with an \emph{indicator switching cost}: a fixed penalty incurred whenever two consecutive decisions differ. This captures startup overheads such as server activation, model deployment, and cache updates, and on a bounded domain it recovers norm-based movement costs as a special case. Existing guarantees for indicator costs handle only static comparators. We show that a direct extension of these techniques to dynamic regret provably fails, motivating a different approach. We propose a meta-learning framework: a set of randomized lazy FTRL base learners restarted at dyadic time scales, aggregated by a movement-aware master that mixes th...

AuthorsNaram Mhaisen, George Iosifidis
Primary categorycs.LG
Published24 September 2026
Last updated at source24 September 2026
cs.LG
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