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Building a discriminatively ordered subspace on the generating matrix to classify high-dimensional spectral data

Zhu, R; Fukui, K; Xue, J-H; (2017) Building a discriminatively ordered subspace on the generating matrix to classify high-dimensional spectral data. Information Sciences , 382-38 pp. 1-14. 10.1016/j.ins.2016.12.001. Green open access

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Abstract

Soft independent modelling of class analogy (SIMCA) is a widely-used subspace method for spectral data classification. However, since the class subspaces are built independently in SIMCA, the discriminative between-class information is neglected. An appealing remedy is to first project the original data to a more discriminative subspace. For this, generalised difference subspace (GDS) that explores the information between class subspaces in the generating matrix can be a strong candidate. However, due to the difference between a class subspace (of infinite scale) and a class (of finite scale), the eigenvectors selected by GDS may not also be discriminative for classifying samples of classes. Therefore in this paper, we propose a discriminatively ordered subspace (DOS): different from GDS, our DOS selects the eigenvectors with high discriminative ability between classes rather than between class subspaces. The experiments on three real spectral datasets demonstrate that applying DOS before SIMCA outperforms its counterparts.

Type: Article
Title: Building a discriminatively ordered subspace on the generating matrix to classify high-dimensional spectral data
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.ins.2016.12.001
Publisher version: http://dx.doi.org/10.1016/j.ins.2016.12.001
Language: English
Additional information: Copyright: © 2016 Elsevier Inc. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords: Discriminatively ordered subspace; Generalised difference subspace; Generating matrix; SIMCA; Spectral data classification; Subspace method
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery.ucl.ac.uk/id/eprint/1532665
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