Functional data analysis: An introduction and recent developments

J Gertheiss, D Rügamer, BXW Liew… - Biometrical …, 2024 - Wiley Online Library
Functional data analysis (FDA) is a statistical framework that allows for the analysis of
curves, images, or functions on higher dimensional domains. The goals of FDA, such as …

Functional data analysis characterizes the shapes of the first COVID-19 epidemic wave in Italy

T Boschi, J Di Iorio, L Testa, MA Cremona… - Scientific reports, 2021 - nature.com
We investigate patterns of COVID-19 mortality across 20 Italian regions and their association
with mobility, positivity, and socio-demographic, infrastructural and environmental …

[KNJIGA][B] Functional data analysis with R

CM Crainiceanu, J Goldsmith, A Leroux, E Cui - 2024 - books.google.com
Emerging technologies generate data sets of increased size and complexity that require
new or updated statistical inferential methods and scalable, reproducible software. These …

Scalar on time-by-distribution regression and its application for modelling associations between daily-living physical activity and cognitive functions in Alzheimer's …

R Ghosal, VR Varma, D Volfson, J Urbanek… - Scientific reports, 2022 - nature.com
Wearable data is a rich source of information that can provide a deeper understanding of
links between human behaviors and human health. Existing modelling approaches use …

Additive function-on-function regression

JS Kim, AM Staicu, A Maity, RJ Carroll… - … of Computational and …, 2018 - Taylor & Francis
We study additive function-on-function regression where the mean response at a particular
time point depends on the time point itself, as well as the entire covariate trajectory. We …

Benefits and pitfalls of the exponential mechanism with applications to hilbert spaces and functional pca

J Awan, A Kenney, M Reimherr… - … on Machine Learning, 2019 - proceedings.mlr.press
The exponential mechanism is a fundamental tool of Differential Privacy (DP) due to its
strong privacy guarantees and flexibility. We study its extension to settings with summaries …

Functional clustering methods for resistance spot welding process data in the automotive industry

C Capezza, F Centofanti, A Lepore… - … Stochastic Models in …, 2021 - Wiley Online Library
In the automotive industry, quality assessment of resistance spot welding (RSW) joints of
metal sheets is typically based on costly and lengthy offline tests, which are unfeasible in the …

Scalar‐on‐function regression: Estimation and inference under complex survey designs

E Smirnova, E Cui, L Tabacu, A Leroux - Statistics in Medicine, 2024 - Wiley Online Library
Increasingly, large, nationally representative health and behavioral surveys conducted
under a multistage stratified sampling scheme collect high dimensional data with correlation …

Modeling motor learning using heteroscedastic functional principal components analysis

D Backenroth, J Goldsmith, MD Harran… - Journal of the …, 2018 - Taylor & Francis
We propose a novel method for estimating population-level and subject-specific effects of
covariates on the variability of functional data. We extend the functional principal …

[PDF][PDF] Robust Functional Linear Regression Models.

U Beyaztas, HL Shang - R J., 2023 - journal.r-project.org
With advancements in technology and data storage, the availability of functional data whose
sample observations are recorded over a continuum, such as time, wavelength, space grids …