Mistake-bounded online learning with operation caps

Jesse Geneson, Meien Li, Linus Tang
9/4/2025
cs.LGcs.CCcs.DM

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Abstract

We investigate the mistake-bound model of online learning with caps on the number of arithmetic operations per round. We prove general bounds on the minimum number of arithmetic operations per round that are necessary to learn an arbitrary family of functions with finitely many mistakes. We solve a problem on agnostic mistake-bounded online learning with bandit feedback from (Filmus et al, 2024) and (Geneson \& Tang, 2024). We also extend this result to the setting of operation caps.

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Cite this paper

@article{geneson2025mistakebounded,
  title  = {Mistake-bounded online learning with operation caps},
  author = {Jesse Geneson and Meien Li and Linus Tang},
  year   = {2025},
  eprint = {2509.03892},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2509.03892v1}
}

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