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Initial Steps towards a Multilevel Functional Principal Components Analysis Model of Dynamical Shape Changes [PDF]

open access: yesJournal of Imaging, 2023
In this article, multilevel principal components analysis (mPCA) is used to treat dynamical changes in shape. Results of standard (single-level) PCA are also presented here as a comparison. Monte Carlo (MC) simulation is used to create univariate data (i.
Damian J. J. Farnell, Peter Claes
doaj   +2 more sources

New Modeling Approaches Based on Varimax Rotation of Functional Principal Components

open access: yesMathematics, 2020
Functional Principal Component Analysis (FPCA) is an important dimension reduction technique to interpret the main modes of functional data variation in terms of a small set of uncorrelated variables.
Christian Acal   +2 more
doaj   +3 more sources

Optimal Estimation of Large Functional and Longitudinal Data by Using Functional Linear Mixed Model

open access: yesMathematics, 2022
The estimation of large functional and longitudinal data, which refers to the estimation of mean function, estimation of covariance function, and prediction of individual trajectory, is one of the most challenging problems in the field of high ...
Mengfei Ran, Yihe Yang
doaj   +1 more source

Machine-Learning-Based Functional Time Series Forecasting: Application to Age-Specific Mortality Rates

open access: yesForecasting, 2022
We propose a functional time series method to obtain accurate multi-step-ahead forecasts for age-specific mortality rates. The dynamic functional principal component analysis method is used to decompose the mortality curves into dynamic functional ...
Ufuk Beyaztas, Hanlin Shang
doaj   +1 more source

Wildfires Vegetation Recovery through Satellite Remote Sensing and Functional Data Analysis

open access: yesMathematics, 2021
In recent years, wildfires have caused havoc across the world, which are especially aggravated in certain regions due to climate change. Remote sensing has become a powerful tool for monitoring fires, as well as for measuring their effects on vegetation ...
Feliu Serra-Burriel   +2 more
doaj   +1 more source

COVID-19 Data Imputation by Multiple Function-on-Function Principal Component Regression

open access: yesMathematics, 2021
The aim of this paper is the imputation of missing data of COVID-19 hospitalized and intensive care curves in several Spanish regions. Taking into account that the curves of cases, deceases and recovered people are completely observed, a function-on ...
Christian Acal   +3 more
doaj   +1 more source

Disjoint and Functional Principal Component Analysis for Infected Cases and Deaths Due to COVID-19 in South American Countries with Sensor-Related Data

open access: yesSensors, 2021
In this paper, we group South American countries based on the number of infected cases and deaths due to COVID-19. The countries considered are: Argentina, Bolivia, Brazil, Chile, Colombia, Ecuador, Peru, Paraguay, Uruguay, and Venezuela.
Carlos Martin-Barreiro   +4 more
doaj   +1 more source

Multi-band MEG signatures of BOLD connectivity reorganization during visuospatial attention

open access: yesNeuroImage, 2021
The functional architecture of the resting brain, as measured with the blood oxygenation level-dependent functional connectivity (BOLD-FC), is slightly modified during task performance.
Chiara Favaretto   +6 more
doaj   +1 more source

Functional Principal Components Analysis of Shanghai Stock Exchange 50 Index

open access: yesDiscrete Dynamics in Nature and Society, 2014
The main purpose of this paper is to explore the principle components of Shanghai stock exchange 50 index by means of functional principal component analysis (FPCA).
Zhiliang Wang, Yalin Sun, Peng Li
doaj   +1 more source

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