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Principal components analysis for functional data
1997For many reasons, principal components analysis (PCA) of functional data is a key technique to consider. First, our own experience is that, after the preliminary steps of registering and displaying the data, the user wants to explore that data to see the features characterizing typical functions.
J. O. Ramsay, B. W. Silverman
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Interpreting the Principal Component Analysis of Multivariate Density Functions
Communications in Statistics - Theory and Methods, 2015Functional principal component analysis (FPCA) as a reduction data technique of a finite number T of functions can be used to identify the dominant modes of variation of numeric three-way data.We carry out the FPCA on multidimensional probability density functions, relate this method to other standard methods and define its centered or standardized ...
Boumaza, Rachid +2 more
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Robust Functional Principal Component Analysis
2014When dealing with multivariate data robust principal component analysis (PCA), like classical PCA, searches for directions with maximal dispersion of the data projected on it. Instead of using the variance as a measure of dispersion, a robust scale estimator s n may be used in the maximization problem.
Juan Lucas Bali, Graciela Boente
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Principal Component Analysis in Transfer Function
2016This chapter explores the transfer function in detail, with multiple linear regressions, and principal component analysis (PCA). Furthermore, it contains the slight description of various types of regression and emphasizes on the PCA and the calculations of principal components (PCs) in detail.
T. M. V. Suryanarayana, P. B. Mistry
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Principal component analysis for functional data
2018This article discusses the methodology and theory of principal component analysis (PCA) for functional data. It first provides an overview of PCA in the context of finite-dimensional data and infinite-dimensional data, focusing on functional linear regression, before considering the applications of PCA for functional data analysis, principally in cases
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Principal component analysis of hybrid functional and vector data
Statistics in Medicine, 2021Jeong Hoon Jang
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Functional principal component analysis estimator for non-Gaussian data
Journal of Statistical Computation and Simulation, 2022Haocheng Li
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A Method of L1-Norm Principal Component Analysis for Functional Data
Symmetry, 2020Fengmin Yu, Li-Ming Liu, Lianghao Ji
exaly

