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Variable-Domain Functional Principal Component Analysis

Journal of Computational and Graphical Statistics, 2019
We introduce a novel method of principal component analysis for data with varying domain lengths for each functional observation.
Jordan T. Johns   +3 more
openaire   +1 more source

Contrastive Functional Principal Component Analysis

Proceedings of the AAAI Conference on Artificial Intelligence
As functional data assumes a central role in contemporary data analysis, the search for meaningful dimension reduction becomes critical due to its inherent infinite-dimensional structure. Traditional methods, such as Functional Principal Component Analysis (FPCA), adeptly explore the overarching structures within the functional data.
Eric Zhang, Didong Li
openaire   +1 more source

Multivariate functional principal component analysis: A normalization approach

Statistica Sinica, 2014
Summary: We propose an extended version of the classical Karhunen-Loève expansion of a multivariate random process, termed a normalized multivariate functional principal component (\(m\mathrm{FPC}_n\)) representation. This takes variations between the components of the process into account and takes advantage of component dependencies through the ...
Chiou, Jeng-Min   +2 more
openaire   +2 more sources

Principal Component Analysis in Transfer Function

2016
This 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
openaire   +1 more source

Weighted Supervised Functional Principal Components Analysis

Journal of Information and Computing Science
In functional linear regression, a supervised version of functional principal components analysis (FPCA) can automatically estimate the leading functional principal components (FPCs), which not only represent the major source of variation of the functional predictor but also are simultaneously correlated with the response.
Zewen Zhang, Chunzheng Cao, Shuren Cao
openaire   +1 more source

Principal components analysis for functional data

1997
For 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
openaire   +1 more source

Multi-way functional principal components analysis

2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), 2013
Many examples of multi-way or tensor-valued data, such as in climate studies, neuroimaging, chemometrics, and hyperspectral imaging, are structured meaning that variables are associated with locations. Tensor decompositions, or higher-order principal components analysis (HOPCA), are a classical method for dimension reduction and pattern recognition for
openaire   +1 more source

Principal component analysis for functional data

2018
This 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
openaire   +1 more source

Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review

Ca-A Cancer Journal for Clinicians, 2022
Deborah C Marshall, Mas   +2 more
exaly  

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