Robust reductions from ranking to classification

  • Authors:
  • Maria-Florina Balcan;Nikhil Bansal;Alina Beygelzimer;Don Coppersmith;John Langford;Gregory B. Sorkin

  • Affiliations:
  • Carnegie Melon University, Pittsburgh, USA;IBM Thomas J. Watson Research Center, Yorktown Heights, USA;IBM Thomas J. Watson Research Center, Hawthorne, USA;IDA Center for Communications Research, Princeton, USA;Yahoo Research, New York, USA;IBM Thomas J. Watson Research Center, Yorktown Heights, USA

  • Venue:
  • Machine Learning
  • Year:
  • 2008

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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 2r. This is a large improvement over approaches such as ordering according to regressed scores, which have a regret transform of r 驴 nr where n is the number of elements.