Orthogonal canonical correlation analysis and applications

Li Wang, Lei hong Zhang, Zhaojun Bai*, Ren Cang Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

Canonical correlation analysis (CCA) is a cornerstone of linear dimensionality reduction techniques that jointly maps two datasets to achieve maximal correlation. CCA has been widely used in applications for capturing data features of interest. In this paper, we establish a range constrained orthogonal CCA (OCCA) model and its variant and apply them for three data analysis tasks of datasets in real-life applications, namely unsupervised feature fusion, multi-target regression and multi-label classification. Numerical experiments show that the OCCA and its variant produce superior accuracy compared to the traditional CCA.

Original languageEnglish
Pages (from-to)787-807
Number of pages21
JournalOptimization Methods and Software
Volume35
Issue number4
DOIs
Publication statusPublished - 3 Jul 2020
Externally publishedYes

Keywords

  • 15A18
  • 15A21
  • 62H20
  • 62H25
  • 65F15
  • 65F30
  • Canonical correlation analysis (CCA)
  • multi-label classification
  • multi-target regression
  • orthogonal CCA
  • singular value decomposition
  • unsupervised feature fusion

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