MATRIX DISCRIMINANT ANALYSIS WITH APPLICATION TO COLORIMETRIC SENSOR ARRAY DATA

Technometrics : a Journal of Statistics for the Physical, Chemical, and Engineering Sciences
Wenxuan Zhong, Kenneth S Suslick

Abstract

With the rapid development of nano-technology, a "colorimetric sensor array" (CSA) which is referred to as an optical electronic nose has been developed for the identification of toxicants. Unlike traditional sensors which rely on a single chemical interaction, CSA can measure multiple chemical interactions by using chemo-responsive dyes. The color changes of the chemo-responsive dyes are recorded before and after exposure to toxicants and serve as a template for classification. The color changes are digitalized in the form of a matrix with rows representing dye effects and columns representing the spectrum of colors. Thus, matrix-classification methods are highly desirable. In this article, we develop a novel classification method, matrix discriminant analysis (MDA), which is a generalization of linear discriminant analysis (LDA) for the data in matrix form. By incorporating the intrinsic matrix-structure of the data in discriminant analysis, the proposed method can improve CSA's sensitivity and more importantly, specificity. A penalized MDA method, PMDA, is also introduced to further incorporate sparsity structure in discriminant function. Numerical studies suggest that the proposed MDA and PMDA methods outperform LDA and oth...Continue Reading

References

Aug 30, 2000·Nature·N A Rakow, K S Suslick
Jul 9, 2005·Angewandte Chemie·Neal A RakowKenneth S Suslick
Aug 18, 2005·Journal of the American Chemical Society·Chen Zhang, Kenneth S Suslick
Apr 1, 2006·Proceedings of the National Academy of Sciences of the United States of America·David L Donoho, Michael Elad
Sep 12, 2008·Organic Letters·Sung H LimKenneth S Suslick
Oct 20, 2010·Analytical Chemistry·Liang FengKenneth S Suslick

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Citations

Nov 26, 2015·Wiley Interdisciplinary Reviews. Computational Statistics·Wenxuan ZhongKenneth Suslick
Dec 18, 2020·Accounts of Chemical Research·Zheng Li, Kenneth S Suslick
Mar 27, 2021·Biostatistics·Hao ChenUNKNOWN Alzheimers Disease Neuroimaging Initiative
Sep 13, 2018·Chemical Reviews·Zheng LiKenneth S Suslick

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Methods Mentioned

BETA
chip
MDA

Software Mentioned

R
klaR
PMDA
sparseLDA
MDA
lda

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