2014
DOI: 10.1371/journal.pone.0096944
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A New Method Combining LDA and PLS for Dimension Reduction

Abstract: Linear discriminant analysis (LDA) is a classical statistical approach for dimensionality reduction and classification. In many cases, the projection direction of the classical and extended LDA methods is not considered optimal for special applications. Herein we combine the Partial Least Squares (PLS) method with LDA algorithm, and then propose two improved methods, named LDA-PLS and ex-LDA-PLS, respectively. The LDA-PLS amends the projection direction of LDA by using the information of PLS, while ex-LDA-PLS … Show more

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Cited by 37 publications
(25 citation statements)
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“…Another way of analyzing multivariate changes is linear discriminant analysis (LDA), which attempts to identify a linear equation that combines the metabolomics variables, with different weightings, in order to predict whether animals belong to the sham or acoustic trauma groups. Partial least squares discriminant analysis (PLS-DA, equivalent to “projection to latent structures DA”) is a method that uses partial least squares regression in the discriminant analysis, which can be used to elucidate the separation between groups of variables through rotating the principal components obtained in PCA, and is particularly useful when there are more variables than observations and when there is correlation or “multicollinearity” amongst the variables (Tang et al, 2014). In orthogonal projection to latent structures DA (OPLS-DA), an extension of PLS-DA, the data from the continuous variables in the discriminant analysis function are separated into those that are predictive of the dependent variable (e.g., sham or acoustic trauma) and those that are not, resulting in enhanced diagnostics.…”
Section: Methodsmentioning
confidence: 99%
“…Another way of analyzing multivariate changes is linear discriminant analysis (LDA), which attempts to identify a linear equation that combines the metabolomics variables, with different weightings, in order to predict whether animals belong to the sham or acoustic trauma groups. Partial least squares discriminant analysis (PLS-DA, equivalent to “projection to latent structures DA”) is a method that uses partial least squares regression in the discriminant analysis, which can be used to elucidate the separation between groups of variables through rotating the principal components obtained in PCA, and is particularly useful when there are more variables than observations and when there is correlation or “multicollinearity” amongst the variables (Tang et al, 2014). In orthogonal projection to latent structures DA (OPLS-DA), an extension of PLS-DA, the data from the continuous variables in the discriminant analysis function are separated into those that are predictive of the dependent variable (e.g., sham or acoustic trauma) and those that are not, resulting in enhanced diagnostics.…”
Section: Methodsmentioning
confidence: 99%
“…A partial least square (PLS) regression with a backward feature selection was performed to select features that predicted CP from the large set of 990 movement features without overfitting the model [24]. The selected movement features in each 5 second period were clustered into 5 composite scores which were used in a linear discriminative analysis (LDA) to classify movements typically found in children with or without CP (Appendix C) [25]. To avoid overfitting of the CIMA model, the dataset was divided into training, validation, and test sets in a double cross-validation procedure (Appendix D).…”
Section: Cp Prediction Model and Validity Of The Modelmentioning
confidence: 99%
“…Another way of analyzing multivariate changes is linear discriminant analysis (LDA), which attempts to identify a linear equation that combines the metabolomic variables, with different weightings, in order to predict if the animals belong to a certain group. Partial least squares discriminant analysis (PLS-DA, equivalent to "projection to latent structures DA") is a method that uses partial least squares regression in the discriminant analysis and can be used to elucidate the separation between groups of variables [28]. In orthogonal projection to latent structures DA (OPLS-DA), an extension of PLS-DA, the data from the continuous variables in the discriminant analysis function are separated into those that are predictive of the dependent variable (e.g., WT or db/ db) and those that are not, resulting in enhanced diagnostics.…”
Section: Sample Preparation For Metabolomic Analysismentioning
confidence: 99%