# Implicit rate-constrained optimization of non-decomposable objectives

@article{Kumar2021ImplicitRO, title={Implicit rate-constrained optimization of non-decomposable objectives}, author={Abhishek Kumar and Harikrishna Narasimhan and Andrew Cotter}, journal={ArXiv}, year={2021}, volume={abs/2107.10960} }

We consider a popular family of constrained optimization problems arising in machine learning that involve optimizing a non-decomposable evaluation metric with a certain thresholded form, while constraining another metric of interest. Examples of such problems include optimizing the false negative rate at a fixed false positive rate, optimizing precision at a fixed recall, optimizing the area under the precision-recall or ROC curves, etc. Our key idea is to formulate a rate-constrained…

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