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QDA by Projection

swMATH ID: 42873
Software Authors: Wu, Ruiyang; Hao, Ning
Description: R Package QDA by Projection: Quadratic discriminant analysis by projection. Discriminant analysis, including linear discriminant analysis (LDA) and quadratic discriminant analysis (QDA), is a popular approach to classification problems. It is well known that LDA is suboptimal to analyze heteroscedastic data, for which QDA would be an ideal tool. However, QDA is less helpful when the number of features in a data set is moderate or high, and LDA and its variants often perform better due to their robustness against dimensionality. In this work, we introduce a new dimension reduction and classification method based on QDA. In particular, we define and estimate the optimal one-dimensional (1D) subspace for QDA, which is a novel hybrid approach to discriminant analysis. The new method can handle data heteroscedasticity with number of parameters equal to that of LDA. Therefore, it is more stable than the standard QDA and works well for data in moderate dimensions. We show an estimation consistency property of our method, and compare it with LDA, QDA, regularized discriminant analysis (RDA) and a few other competitors by simulated and real data examples.
Homepage: https://arxiv.org/abs/2108.09005
Source Code: https://github.com/ywwry66/QDA-by-Projection-R-Package
Dependencies: R
Keywords: classification; consistency; heteroscedasticity; invariance; normality
Related Software: Matlab; GitHub; RaSEn; rda; UCI-ml
Cited in: 1 Publication

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Quadratic discriminant analysis by projection. Zbl 1493.62406
Wu, Ruiyang; Hao, Ning
2022

Cited by 2 Authors

1 Hao, Ning
1 Wu, Ruiyang

Cited in 1 Field

1 Statistics (62-XX)

Citations by Year