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Activity Number: 401
Type: Invited
Date/Time: Wednesday, August 5, 2009 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #302816
Title: A Prediction Interval for the Misclassification Rate
Author(s): Susan Murphy*+ and Eric Laber
Companies: University of Michigan and University of Michigan
Address: Dept. of Statistics, Ann Arbor, MI, 48109-1107,
Keywords: classification ; confidence sets
Abstract:

The misclassification rate of a classifier is a non-smooth functions of the classifier. The estimated rate suffers from bias due to over-fitting and the misclassification rate is a "minimized" quantity. For both of these reasons the construction of measures of confidence such as estimates of variance and confidence/prediction intervals are challenging. We discuss this problem and propose a method based on the use of a smooth upper bound combined with the bootstrap. This upper bound utilizes the surrogate loss that is used in the construction of the classifier.


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