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Sparse Principal Component Analysis [PDF]

open access: yesJournal of Computational and Graphical Statistics, 2006
Principal component analysis (PCA) is widely used in data processing and dimensionality reduction. However, PCA suffers from the fact that each principal component is a linear combination of all the original variables, thus it is often difficult to interpret the results.
Hui Zou   +2 more
openaire   +3 more sources

Sparse Principal Component Analysis via Variable Projection [PDF]

open access: yesSIAM Journal on Applied Mathematics, 2020
Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing improved interpretation of low-rank structures by identifying localized spatial structures in the data and disambiguating between distinct time scales.
N. Benjamin Erichson   +5 more
openaire   +5 more sources

Sparse principal component analysis by choice of norm. [PDF]

open access: yesJ Multivar Anal, 2013
Recent years have seen the developments of several methods for sparse principal component analysis due to its importance in the analysis of high dimensional data. Despite the demonstration of their usefulness in practical applications, they are limited in terms of lack of orthogonality in the loadings (coefficients) of different principal components ...
Qi X, Luo R, Zhao H.
europepmc   +3 more sources

Sparse logistic principal components analysis for binary data [PDF]

open access: yesThe Annals of Applied Statistics, 2010
We develop a new principal components analysis (PCA) type dimension reduction method for binary data. Different from the standard PCA which is defined on the observed data, the proposed PCA is defined on the logit transform of the success probabilities ...
Hu, Jianhua   +2 more
core   +7 more sources

Sparse Principal Component Analysis via Rotation and Truncation [PDF]

open access: yesIEEE Transactions on Neural Networks and Learning Systems, 2016
Sparse principal component analysis (sparse PCA) aims at finding a sparse basis to improve the interpretability over the dense basis of PCA, meanwhile the sparse basis should cover the data subspace as much as possible. In contrast to most of existing work which deal with the problem by adding some sparsity penalties on various objectives of PCA, in ...
Hu, Zhenfang   +3 more
openaire   +5 more sources

Demixed Sparse Principal Component Analysis Through Hybrid Structural Regularizers

open access: yesIEEE Access, 2021
Recently, the sparse representation of multivariate data has gained great popularity in real-world applications like neural activity analysis. Many previous analyses for these data utilize sparse principal component analysis (SPCA) to obtain a sparse ...
Yan Zhang, Haoqing Xu
doaj   +1 more source

Sparse Generalised Principal Component Analysis [PDF]

open access: yesPattern Recognition, 2018
In this paper, we develop a sparse method for unsupervised dimension reduction for data from an exponential-family distribution. Our idea extends previous work on Generalised Principal Component Analysis by adding L1 and SCAD penalties to introduce sparsity.
Luke Smallman   +2 more
openaire   +1 more source

Sparse exponential family Principal Component Analysis [PDF]

open access: yesPattern Recognition, 2016
We propose a Sparse exponential family Principal Component Analysis (SePCA) method suitable for any type of data following exponential family distributions, to achieve simultaneous dimension reduction and variable selection for better interpretation of the results. Because of the generality of exponential family distributions, the method can be applied
Lu, Meng   +2 more
openaire   +3 more sources

JEDi: java essential dynamics inspector — a molecular trajectory analysis toolkit

open access: yesBMC Bioinformatics, 2021
Background Principal component analysis (PCA) is commonly applied to the atomic trajectories of biopolymers to extract essential dynamics that describe biologically relevant motions. Although application of PCA is straightforward, specialized software to
Charles C. David   +2 more
doaj   +1 more source

Class-Specific Sparse Principal Component Analysis for Visual Classification

open access: yesIEEE Access, 2020
Extensive research has demonstrated that dictionary learning is active in improving the performance of the representation based classification. However, dictionary learning suffers from lacking an effective dictionary structure that can well tradeoff the
Fei Pan   +3 more
doaj   +1 more source

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