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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 descriptive analyses, classification, and regression, are…

Methodology · Statistics 2023-12-12 Jan Gertheiss , David Rügamer , Bernard X. W. Liew , Sonja Greven

Combining data from several case-control genome-wide association (GWA) studies can yield greater efficiency for detecting associations of disease with single nucleotide polymorphisms (SNPs) than separate analyses of the component studies.…

Methodology · Statistics 2010-10-26 Ruth M. Pfeiffer , Mitchell H. Gail , David Pee

Many complex disease syndromes such as asthma consist of a large number of highly related, rather than independent, clinical phenotypes, raising a new technical challenge in identifying genetic variations associated simultaneously with…

Machine Learning · Statistics 2008-11-16 Seyoung Kim , Kyung-Ah Sohn , Eric P. Xing

The objective of this study is to introduce methodology for studying longitudinal claims data observed at the patient level, with inference on the heterogeneity of healthcare utilization behaviors within large healthcare systems such as…

Applications · Statistics 2016-03-04 Ross P. Hilton , Nicoleta Serban , Richard Y. Zheng

While progress has been made in identifying common genetic variants associated with human diseases, for most of common complex diseases, the identified genetic variants only account for a small proportion of heritability. Challenges remain…

Applications · Statistics 2025-08-18 Olga A. Vsevolozhskaya , Dmitri V. Zaykin , Mark C. Greenwood , Changshuai Wei , Qing Lu

Functional Data Analysis (FDA) is a statistical domain developed to handle functional data characterized by high dimensionality and complex data structures. Sequential Neural Networks (SNNs) are specialized neural networks capable of…

Machine Learning · Computer Science 2023-11-06 J. Zhao , J. Li , M. Chen , S. Jadhav

With the advance of modern technology, more and more data are being recorded continuously during a time interval or intermittently at several discrete time points. They are both examples of "functional data", which have become a prevailing…

Methodology · Statistics 2015-07-21 Jane-Ling Wang , Jeng-Min Chiou , Hans-Georg Mueller

Substudies of the Childhood Asthma Management Program [Control. Clin. Trials 20 (1999) 91-120; N. Engl. J. Med. 343 (2000) 1054-1063] seek to identify patient characteristics associated with asthma symptoms and lung function. To determine…

Several gene-based association tests for time-to-event traits have been proposed recently, to detect whether a gene region (containing multiple variants), as a set, is associated with the survival outcome. However, for bivariate survival…

Applications · Statistics 2019-04-03 Yue Wei , Yi Liu , Wei Chen , Ying Ding

Understanding associations between paired high-dimensional longitudinal datasets is a fundamental yet challenging problem that arises across scientific domains, including longitudinal multi-omic studies. The difficulty stems from the…

Methodology · Statistics 2026-01-21 Jianbin Tan , Pixu Shi

The abundance of functional observations in scientific endeavors has led to a significant development in tools for functional data analysis (FDA). This kind of data comes with several challenges: infinite-dimensionality of function spaces,…

Methodology · Statistics 2015-12-11 J. S. Marron , James O. Ramsay , Laura M. Sangalli , Anuj Srivastava

Functional data is a powerful tool for capturing and analyzing complex patterns and relationships in a variety of fields, allowing for more precise modeling, visualization, and decision-making. For example, in healthcare, functional data…

Methodology · Statistics 2023-04-26 Xiyuan Gao , Jiayi Wang , Guanyu Hu , Jianguo Sun

In many phenomena, data are collected on a large scale and of different frequencies. In this context, functional data analysis (FDA) has become an important statistical methodology for analyzing and modeling such data. The approach of FDA…

Methodology · Statistics 2022-04-11 Israel Martínez-Hernández , Marc G. Genton

In modern industrial settings, advanced acquisition systems allow for the collection of data in the form of profiles, that is, as functional relationships linking responses to explanatory variables. In this context, statistical process…

Methodology · Statistics 2025-10-30 Fabio Centofanti

In this paper, we introduce a new extension of the Singular Spectrum Analysis (SSA) called functional SSA to analyze functional time series. The new methodology is developed by integrating ideas from functional data analysis and univariate…

Time series classification problems have drawn increasing attention in the machine learning and statistical community. Closely related is the field of functional data analysis (FDA): it refers to the range of problems that deal with the…

Machine Learning · Statistics 2021-02-25 Florian Pfisterer , Laura Beggel , Xudong Sun , Fabian Scheipl , Bernd Bischl

Classical multivariate principal component analysis has been extended to functional data and termed functional principal component analysis (FPCA). Most existing FPCA approaches do not accommodate covariate information, and it is the goal…

Statistics Theory · Mathematics 2010-03-02 Ci-Ren Jiang , Jane-Ling Wang

Multi-dimensional functional data arises in numerous modern scientific experimental and observational studies. In this paper we focus on longitudinal functional data, a structured form of multidimensional functional data. Operating within a…

Methodology · Statistics 2019-09-20 John Shamshoian , Damla Senturk , Shafali Jeste , Donatello Telesca

We carry out ANOVA comparisons of multiple treatments for longitudinal studies with missing values. The treatment effects are modeled semiparametrically via a partially linear regression which is flexible in quantifying the time effects of…

Statistics Theory · Mathematics 2012-11-14 Song Xi Chen , Ping-Shou Zhong

Functional data analysis, which handles data arising from curves, surfaces, volumes, manifolds and beyond in a variety of scientific fields, is a rapidly developing area in modern statistics and data science in the recent decades. The…

Methodology · Statistics 2020-08-21 Xiaoke Zhang , Wu Xue , Qiyue Wang
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