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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

With rapid development of techniques to measure brain activity and structure, statistical methods for analyzing modern brain-imaging play an important role in the advancement of science. Imaging data that measure brain function are usually…

Methodology · Statistics 2023-01-05 Haoyi Fu , Lu Tang , Ori Rosen , Alison E. Hipwell , Theodore J. Huppert , Robert T. Krafty

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

Methodology · Statistics 2020-01-22 Mirko Signorelli , Ernst Wit

Survival regression is widely used to model time-to-events data, to explore how covariates may influence the occurrence of events. Modern datasets often encompass a vast number of covariates across many subjects, with only a subset of the…

Methodology · Statistics 2024-09-18 Abhishek Mandal , Abhisek Chakraborty

Several factors make clustering of functional data challenging, including the infinite-dimensional space to which observations belong and the lack of a defined probability density function for the functional random variable. To overcome…

Methodology · Statistics 2025-02-03 Andi Mai , Lan Xue , Roger Zoh , Carmen Tekwe

Longitudinal binary or count functional data are common in neuroscience, but are often too large to analyze with existing functional regression methods. We propose one-step penalized generalized estimating equations that supports…

Methodology · Statistics 2026-03-31 Gabriel Loewinger , Alex W. Levis , Erjia Cui , Francisco Pereira

An extension of the latent class model is presented for clustering categorical data by relaxing the classical "class conditional independence assumption" of variables. This model consists in grouping the variables into inter-independent and…

Computation · Statistics 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

We address the problem of multicollinearity in a function-on-scalar regression model by using a prior which simultaneously selects, clusters, and smooths functional effects. Our methodology groups effects of highly correlated predictors,…

Applications · Statistics 2019-06-26 Suchit Mehrotra , Arnab Maity

Multivariate functional data that are cross-sectionally compositional data are attracting increasing interest in the statistical modeling literature, a major example being trajectories over time of compositions derived from cause-specific…

Methodology · Statistics 2023-11-21 Emanuele Giovanni Depaoli , Marco Stefanucci , Stefano Mazzuco

Recent advances in engineering technologies have enabled the collection of a large number of longitudinal features. This wealth of information presents unique opportunities for researchers to investigate the complex nature of diseases and…

Methodology · Statistics 2023-11-27 Zihang Lu , Noirrit Kiran Chandra

Varying coefficient models are useful in applications where the effect of the covariate might depend on some other covariate such as time or location. Various applications of these models often give rise to case-specific prior distributions…

Methodology · Statistics 2019-12-05 Maria Franco-Villoria , Massimo Ventrucci , Håvard Rue

A new method for clustering functional data is proposed via information maximization. The proposed method learns a probabilistic classifier in an unsupervised manner so that mutual information (or squared loss mutual information) between…

Applications · Statistics 2023-06-08 Xinyu Li , Jianjun Xu , Haoyang Cheng

This paper introduces a new spatial scan statistic designed to adjust cluster detection for longitudinal confounding factors indexed in space. The functional-model-adjusted statistic was developed using generalized functional linear models…

Methodology · Statistics 2019-03-05 Michael Genin , Mohamed-Salem Ahmed

Most classification methods are based on the assumption that data conforms to a stationary distribution. The machine learning domain currently suffers from a lack of classification techniques that are able to detect the occurrence of a…

Machine Learning · Statistics 2012-01-05 Alzennyr Da Silva , Yves Lechevallier , Fabrice Rossi , Francisco De A. T. De Carvahlo

In many longitudinal microarray studies, the gene expression levels in a random sample are observed repeatedly over time under two or more conditions. The resulting time courses are generally very short, high-dimensional, and may have…

Applications · Statistics 2013-02-26 Maurice Berk , Cheryl Hemingway , Michael Levin , Giovanni Montana

Longitudinal data analysis is fundamental for understanding dynamic processes in biomedical and social sciences. Although varying coefficient models (VCMs) provide a flexible framework by allowing covariate effects to evolve over time,…

Methodology · Statistics 2026-03-10 Yu Lu , Tianni Zhang , Yuyao Wang , Mengfei Ran

We develop a new method for simultaneously selecting fixed and random effects in a multilevel functional regression model. The proposed method is motivated by accelerometer-derived physical activity data from the 2011-12 cohort of the…

Methodology · Statistics 2025-10-24 Rahul Ghosal , Marcos Matabuena , Enakshi Saha

In many modern statistical problems, the limited available data must be used both to develop the hypotheses to test, and to test these hypotheses-that is, both for exploratory and confirmatory data analysis. Reusing the same dataset for…

Methodology · Statistics 2023-07-24 Youngjoo Yun , Rina Foygel Barber

Cluster-randomized experiments are increasingly used to evaluate interventions in routine practice conditions, and researchers often adopt model-based methods with covariate adjustment in the statistical analyses. However, the validity of…

Methodology · Statistics 2023-12-08 Bingkai Wang , Chan Park , Dylan S. Small , Fan Li

Clustering techniques applied to multivariate data are a very useful tool in Statistics and have been fully studied in the literature. Nevertheless, these clustering methodologies are less well known when dealing with functional data. Our…

Methodology · Statistics 2023-12-01 Belén Pulido , Alba María Franco-Pereira , Rosa Elvira Lillo
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