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Activity Number: 423
Type: Contributed
Date/Time: Wednesday, August 5, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Learning and Data Mining
Abstract - #304853
Title: Multicategory Composite Least Squares Classifier
Author(s): Seo Young Park*+ and Yufeng Liu
Companies: The University of North Carolina at Chapel Hill and The University of North Carolina at Chapel Hill
Address: B04 Hanes Hall, Chapel Hill , NC, 27514,
Keywords: Fisher Consistency ; Multicategory Classification ; SVM ; Regression
Abstract:

The Support Vector Machine (SVM) has been very successful in many applications. However, extension of the binary SVM to the multicategory classification problem is not trivial. Although there have been a number of versions multicategory SVM proposed, computation can be difficult for large scale problems. In this talk, we propose a new efficient multicategory composite least squares classifier (CLS classifier), which utilizes a composite squared loss as the loss function. We show Fisher consistency of our proposed method, and suggest a sensible method for class probability estimation. Our numerical examples demonstrate great performance of the proposed method.


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