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›› 2019, Vol. 36 ›› Issue (3): 289-298.DOI: 10.7523/j.issn.2095-6134.2019.03.001

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Survey on angle-based classification

FU Sheng, XUE Yuan, ZHANG Sanguo   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2018-01-02 Revised:2018-01-02 Online:2019-05-15
  • Supported by:
    Supported by the Special Fund of University of Chinese Academy of Sciences for Scientific Research Cooperation (Y652022Y00)

Abstract: Statistical classification problems are widely encountered in many applications, e.g., face recognition, fraud detection, and hand-written character recognition. In this article we make a comprehensive analysis on statistical methods for supervised classification problems. Specifically, we introduce the angle-based classification structure, which combines binary and multicategory problems in a unified framework. Several new variants of the angle-based classifiers are also discussed, such as robust learning and weighted learning. Furthermore, we show some theoretical results about Fisher consistency for these angle-based classifiers.

Key words: angle-based classification framework, Fisher consistency, robust learning, statistical classification, weighted learning

CLC Number: