2022
DOI: 10.1002/cem.3403
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Dual‐constrained and primal‐constrained principal component analysis

Abstract: Uniform Manifold Approximation and Projection (UMAP) and related manifold embedding techniques generate nonlinear projections of high‐dimensional data onto low‐dimensional subspaces. However, due to the nonlinearity of these methods, there is no analogous transformation matrix (i.e., the loadings or eigenvectors) that allows one to see the corresponding relationship between each sample location and each feature (e.g., wavelength). We propose a mechanism that embeds the pairwise distance structure of UMAP‐type … Show more

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Cited by 4 publications
(3 citation statements)
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“…After the segmentation process, the EEG signals were explored using Multiscale PCA. This is because it looks for the subspaces that maximize the sum of all squared pairwise distances between data projections [11]. Then DWT leader feature extraction method has been used to extract the feature vectors of the EEG signals.…”
Section: Proposed Methodsmentioning
confidence: 99%
“…After the segmentation process, the EEG signals were explored using Multiscale PCA. This is because it looks for the subspaces that maximize the sum of all squared pairwise distances between data projections [11]. Then DWT leader feature extraction method has been used to extract the feature vectors of the EEG signals.…”
Section: Proposed Methodsmentioning
confidence: 99%
“…All of these methods rely on distances that use all the measured microbiome count without incorporating individual covariances, i.e., the importance of individual microbial species is lost. Emerging approaches (Satten et al, 2017;Andries and Nikzad-Langerodi, 2022) do offer a bit of reprieve, but a concerted effort is required to develop this direction. 2.…”
Section: Grand Challenge: How Can We Unravel the Mediating Role Of Mi...mentioning
confidence: 99%
“…Making the variables similar is the goal. The variables are often normalized to have a mean of zero, a standard deviation of one, and a standard deviation of one [20,21].…”
Section: Data Standardizationmentioning
confidence: 99%