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Local functional principal component analysis [PDF]
Complex Analysis and Operator Theory, 2007 Covariance operators of random functions are crucial tools to study the way random elements concentrate over their support. The principal component analysis of a random function X is well-known from a theoretical viewpoint and extensively used in ...
Mas, André
core +3 more sources
Multilevel functional principal component analysis
The Annals of Applied Statistics, 2009 The Sleep Heart Health Study (SHHS) is a comprehensive landmark study of sleep and its impacts on health outcomes. A primary metric of the SHHS is the in-home polysomnogram, which includes two electroencephalographic (EEG) channels for each subject, at ...
Caffo, Brian S. +3 more
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Predicting progressive vision loss in glaucoma patients using functional principal component analysis and electronic health records [PDF]
Frontiers in OphthalmologyBackgroundGlaucoma is a leading cause of irreversible blindness worldwide. Predicting a patient’s future clinical trajectory would help physicians personalize management. We present a novel approach for predicting patient visual field (VF) progression by
Rithvik Krishna Donnipadu +4 more
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Mapping Quantitative Trait Loci Underlying Function-Valued Traits Using Functional Principal Component Analysis and Multi-Trait Mapping [PDF]
G3: Genes, Genomes, Genetics, 2016 We previously proposed a simple regression-based method to map quantitative trait loci underlying function-valued phenotypes. In order to better handle the case of noisy phenotype measurements and accommodate the correlation structure among time points ...
Il-Youp Kwak +3 more
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Fast Multilevel Functional Principal Component Analysis. [PDF]
J Comput Graph Stat, 2023 We introduce fast multilevel functional principal component analysis (fast MFPCA), which scales up to high dimensional functional data measured at multiple visits. The new approach is orders of magnitude faster than and achieves comparable estimation accuracy with the original MFPCA (Di et al., 2009).
Cui E, Li R, Crainiceanu CM, Xiao L.
europepmc +3 more sources
Structured functional principal component analysis. [PDF]
Biometrics, 2015 Summary Motivated by modern observational studies, we introduce a class of functional models that expand nested and crossed designs. These models account for the natural inheritance of the correlation structures from sampling designs in studies where the fundamental unit is a function or image. Inference is based on functional quadratics
Shou H +3 more
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MFPCA: Multiscale Functional Principal Component Analysis. [PDF]
Proc AAAI Conf Artif Intell, 2019 We consider the problem of performing dimension reduction on heteroscedastic functional data where the variance is in different scales over entire domain. The aim of this paper is to propose a novel multiscale functional principal component analysis (MFPCA) approach to address such heteroscedastic issue.
Lin Z, Zhu H.
europepmc +4 more sources
Localized Functional Principal Component Analysis. [PDF]
J Am Stat Assoc, 2015 We propose localized functional principal component analysis (LFPCA), looking for orthogonal basis functions with localized support regions that explain most of the variability of a random process. The LFPCA is formulated as a convex optimization problem through a novel deflated Fantope localization method and is implemented through an efficient ...
Chen K, Lei J.
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Principal Component Analysis of Munich Functional Developmental Diagnosis
Pediatric Reports, 2021 Objectives: Munich Functional Developmental Diagnosis (MFDD) is a scale for assessing the psychomotor development of children in the first months or years of life.
Grażyna Pazera +3 more
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K-Nearest Neighbor Method with Principal Component Analysis for Functional Nonparametric Regression
مجلة بغداد للعلوم, 2022 This paper proposed a new method to study functional non-parametric regression data analysis with conditional expectation in the case that the covariates are functional and the Principal Component Analysis was utilized to de-correlate the multivariate
Shelan Saied Ismaeel +2 more
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