Functional regression

JS Morris - Annual Review of Statistics and Its Application, 2015 - annualreviews.org
Functional data analysis (FDA) involves the analysis of data whose ideal units of
observation are functions defined on some continuous domain, and the observed data …

Springer series in statistics

P Bickel, P Diggle, S Fienberg, U Gather, I Olkin… - Principles and Theory …, 2009 - Springer
The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

Partially functional linear regression in high dimensions

D Kong, K Xue, F Yao, HH Zhang - Biometrika, 2016 - academic.oup.com
In modern experiments, functional and nonfunctional data are often encountered
simultaneously when observations are sampled from random processes and high …

Generalized scalar-on-image regression models via total variation

X Wang, H Zhu… - Journal of the …, 2017 - Taylor & Francis
The use of imaging markers to predict clinical outcomes can have a great impact in public
health. The aim of this article is to develop a class of generalized scalar-on-image …

Selecting the number of principal components in functional data

Y Li, N Wang, RJ Carroll - Journal of the American Statistical …, 2013 - Taylor & Francis
Functional principal component analysis (FPCA) has become the most widely used
dimension reduction tool for functional data analysis. We consider functional data measured …

Shape-based functional data analysis

Y Wu, C Huang, A Srivastava - Test, 2024 - Springer
Functional data analysis (FDA) is a fast-growing area of research and development in
statistics. While most FDA literature imposes the classical L 2 Hilbert structure on function …

Interpreting and generalizing deep learning in physics-based problems with functional linear models

A Arzani, L Yuan, P Newell, B Wang - Engineering with Computers, 2024 - Springer
Although deep learning has achieved remarkable success in various scientific machine
learning applications, its opaque nature poses concerns regarding interpretability and …

Partially linear functional additive models for multivariate functional data

RKW Wong, Y Li, Z Zhu - Journal of the American Statistical …, 2019 - Taylor & Francis
We investigate a class of partially linear functional additive models (PLFAM) that predicts a
scalar response by both parametric effects of a multivariate predictor and nonparametric …

Determining the order of the functional autoregressive model

P Kokoszka, M Reimherr - Journal of Time Series Analysis, 2013 - Wiley Online Library
We propose a multistage testing procedure to determine the order p of a functional
autoregressive process, FAR (p). At its core is the representation of the FAR (p) process as a …

FLCRM: Functional linear cox regression model

D Kong, JG Ibrahim, E Lee, H Zhu - Biometrics, 2018 - Wiley Online Library
We consider a functional linear Cox regression model for characterizing the association
between time‐to‐event data and a set of functional and scalar predictors. The functional …