Discriminant analysis in correlation similarity measure space

  • Authors:
  • Yong Ma;Shihong Lao;Erina Takikawa;Masato Kawade

  • Affiliations:
  • Omron Corporation, Kyoto, Japan;Omron Corporation, Kyoto, Japan;Omron Corporation, Kyoto, Japan;Omron Corporation, Kyoto, Japan

  • Venue:
  • Proceedings of the 24th international conference on Machine learning
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

Correlation is one of the most widely used similarity measures in machine learning like Euclidean and Mahalanobis distances. However, compared with proposed numerous discriminant learning algorithms in distance metric space, only a very little work has been conducted on this topic using correlation similarity measure. In this paper, we propose a novel discriminant learning algorithm in correlation measure space, Correlation Discriminant Analysis (CDA). In this framework, based on the definitions of within-class correlation and between-class correlation, the optimum transformation can be sought for to maximize the difference between them, which is in accordance with good classification performance empirically. Under different cases of the transformation, different implementations of the algorithm are given. Extensive empirical evaluations of CDA demonstrate its advantage over alternative methods.