Robust Reductions from Ranking to Classification
Abstract
We reduce ranking, as measured by the Area Under the Receiver Operating Characteristic Curve (AUC), to binary classification. The core theorem shows that a binary classification regret of r on the induced binary problem implies an AUC regret of at most 2 r . This is a large improvement over approaches such as ordering according to regressed scores, which have a regret transform of r ↦ nr where n is the number of elements.
Cite
Text
Balcan et al. "Robust Reductions from Ranking to Classification." Annual Conference on Computational Learning Theory, 2007. doi:10.1007/978-3-540-72927-3_43Markdown
[Balcan et al. "Robust Reductions from Ranking to Classification." Annual Conference on Computational Learning Theory, 2007.](https://mlanthology.org/colt/2007/balcan2007colt-robust/) doi:10.1007/978-3-540-72927-3_43BibTeX
@inproceedings{balcan2007colt-robust,
title = {{Robust Reductions from Ranking to Classification}},
author = {Balcan, Maria-Florina and Bansal, Nikhil and Beygelzimer, Alina and Coppersmith, Don and Langford, John and Sorkin, Gregory B.},
booktitle = {Annual Conference on Computational Learning Theory},
year = {2007},
pages = {604-619},
doi = {10.1007/978-3-540-72927-3_43},
url = {https://mlanthology.org/colt/2007/balcan2007colt-robust/}
}