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Mistake-bounded online learning with operation caps

Published: September 4, 2025 | arXiv ID: 2509.03892v1

By: Jesse Geneson, Meien Li, Linus Tang

Potential Business Impact:

Teaches computers to learn with fewer steps.

Business Areas:
MOOC Education, Software

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.

Page Count
29 pages

Category
Computer Science:
Machine Learning (CS)