2010
DOI: 10.1007/s00778-010-0189-3
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Speed up kernel discriminant analysis

Abstract: Linear Discriminant Analysis (LDA) has been a popular method for dimensionality reduction which preserves class separability. The projection vectors are commonly obtained by maximizing the between class covariance and simultaneously minimizing the within class covariance. LDA can be performed either in the original input space or in the reproducing kernel Hilbert space (RKHS) into which data points are mapped, which leads to Kernel Discriminant Analysis (KDA). When the data are highly nonlinear distributed, KD… Show more

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Cited by 195 publications
(137 citation statements)
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“…Kernel discriminant analysis is a non-linear technique of Linear Discriminant Analysis (LDA) (Cai et al, 2011;Fukunaga, 2013). In LDA, the projection vectors are acquired by decreasing the variation of the same class and at the same time, increasing the between class scatter.…”
Section: Kernel Discriminant Analysis With Spectral Regression (Sr-kdmentioning
confidence: 99%
See 2 more Smart Citations
“…Kernel discriminant analysis is a non-linear technique of Linear Discriminant Analysis (LDA) (Cai et al, 2011;Fukunaga, 2013). In LDA, the projection vectors are acquired by decreasing the variation of the same class and at the same time, increasing the between class scatter.…”
Section: Kernel Discriminant Analysis With Spectral Regression (Sr-kdmentioning
confidence: 99%
“…It is shown in (Cai et al, 2011;Tahir et al, 2015) that the following two linear equations can be used to obtain the KDA projections…”
Section: Kernel Discriminant Analysis With Spectral Regression (Sr-kdmentioning
confidence: 99%
See 1 more Smart Citation
“…Inspired by the spectral regression kernel discriminant analysis (SRKDA) (Cai et al, 2011) having moderate computation effort, the SRKDA algorithm in combination with the optimal parameter selection is given as below.…”
Section: Feature Dimension Reductionmentioning
confidence: 99%
“…To solve the above regression problem, the least angel regression (LARS) (Efron and Tibshirani, 2004) is adopted, and the radial basis function (RBF) (Cai et al, 2011) is taken as the kernel function for the convenience of computation.…”
Section: Feature Dimension Reductionmentioning
confidence: 99%