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Robust Principal Component Analysis? [PDF]
This paper is about a curious phenomenon. Suppose we have a data matrix, which is the superposition of a low-rank component and a sparse component. Can we recover each component individually?
Candes, Emmanuel J. +3 more
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A robust principal component analysis
L'auteur propose une analyse en composantes principales robuste. La méthode, fondée sur des estimateurs de dispersion robustes, est intéressante; des propriétés asymptotiques sont étudiées sous certaines conditions. Malheureusement, il ne semble pas très aisé, a priori, d'étendre ce travail à d'autres distributions que les bivariées.
F.H. Ruymgaart
openalex +4 more sources
Variance The Estimation Eigen Value of Principal Component Analysis and Nonlinear Principal Component Analysis [PDF]
Nonlinear Principal Component Analysis (PRINCALS) is an extension of Principal Component Analysis (Linear), which can reduce the variables of mixed scale multivariable data (nominal, ordinal, interval, and ratio) simultaneously.
Makkulau +4 more
doaj +1 more source
Principal component analysis in pig breeds identification
Maintaining the purity of pig breeds is an essential task for their economic value. The traditional breed identification methods through coat colour are prone to error due to huge intra-breed variation. This paper uses principal component Analysis (PCA)
SANKET DAN +4 more
doaj +1 more source
Modal Principal Component Analysis [PDF]
Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and various robust PCA methods have been proposed. It has been shown that the robustness of many statistical methods can be improved using mode estimation instead of mean ...
Hideitsu Hino, Keishi Sando
openaire +3 more sources
Principal component analysis is one of the most important and powerful methods in chemometrics as well as in a wealth of other areas.
Rasmus Bro, Age K. Smilde, Age K. Smilde
openaire +5 more sources
Quantifying Topographic Ruggedness Using Principal Component Analysis
The development of geospatial technologies has opened a new era in terms of data collection techniques and analysis procedures. Digital elevation models as 3D visualization of the Earth’s surface have many mapping and spatial analysis applications.
Maan Habib
doaj +1 more source
Robust Orthogonal Complement Principal Component Analysis [PDF]
Recently, the robustification of principal component analysis has attracted lots of attention from statisticians, engineers and computer scientists. In this work we study the type of outliers that are not necessarily apparent in the original observation ...
Li, Shijie, She, Yiyuan, Wu, Dapeng
core +1 more source
Improved Two-Dimensional Quaternion Principal Component Analysis
The two-dimensional quaternion principal component analysis (2D-QPCA) is first improved into abstracting the features of quaternion matrix samples in both row and column directions, being the generalization ability, and with the components weighted by ...
Meixiang Zhao, Zhigang Jia, Dunwei Gong
doaj +1 more source
Reionization constraints using Principal Component Analysis [PDF]
Using a semi-analytical model developed by Choudhury & Ferrara (2005) we study the observational constraints on reionization via a principal component analysis (PCA).
Andrea Ferrara +43 more
core +3 more sources

