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Paper · arXiv

Imbalanced Classification under Capacity Constraints

Detecting observations from a minority class under severe class imbalance is a central challenge in applications such as fraud detection, medical screening, and industrial quality control. In these settings, each positive prediction triggers a costly follow-up action, an MRI scan, a transaction audit, whose execution is subject to real operational constraints. This paper proposes a formal classification framework under capacity constraints: given a user-defined bound limit $b$ on the proportion of observations that can be labeled as belonging to the minority class, the goal is to find the classifier that maximizes sensitivity on that class. We characterize the optimal classifier under thi...

AuthorsDaniel Fraiman, Ricardo Fraiman
Primary categorystat.ML
Published5 May 2026
Last updated at source14 June 2026
stat.MLcs.LGmath.ST
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