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The continuous advances in data collection and storage techniques allow us to observe and record real-life processes in great detail. Examples include financial transaction data, fMRI images, satellite photos, earths pollution distribution…

Methodology · Statistics 2015-02-26 Łukasz Kidziński

The frequency-domain properties of nonstationary functional time series often contain valuable information. These properties are characterized through its time-varying power spectrum. Practitioners seeking low-dimensional summary measures…

Methodology · Statistics 2021-03-12 Pramita Bagchi , Scott A. Bruce

High-dimensional functional data are becoming increasingly common in fields such as environmental monitoring and neuroimaging. This paper studies high-dimensional functional linear regression models that relate a scalar response to…

Methodology · Statistics 2026-05-08 Xingche Guo , Yehua Li , Pang Du

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

Efficiently modeling dynamic motion information in videos is crucial for action recognition task. Most state-of-the-art methods heavily rely on dense optical flow as motion representation. Although combining optical flow with RGB frames as…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Can Zhang , Yuexian Zou , Guang Chen , Lei Gan

Network meta-analysis (NMA) combines evidence from multiple trials to compare the effectiveness of a set of interventions. In public health research, interventions are often complex, made up of multiple components or features. This makes it…

Methodology · Statistics 2024-01-04 Annabel L Davies , Julian P T Higgins

Functional Principal Component Analysis (FPCA) has become a widely-used dimension reduction tool for functional data analysis. When additional covariates are available, existing FPCA models integrate them either in the mean function or in…

Methodology · Statistics 2022-04-13 Ci-Ren Jiang , Eardi Lila , John AD Aston , Jane-Ling Wang

A multiplicative effects model is introduced for the identification of the factors that are influential to the performance of highly-trained endurance runners. The model extends the established power-law relationship between performance…

Applications · Statistics 2015-07-02 Ioannis Kosmidis , Louis Passfield

In many longitudinal settings, time-varying covariates may not be measured at the same time as responses and are often prone to measurement error. Naive last-observation-carried-forward methods incur estimation biases, and existing…

Methodology · Statistics 2023-03-10 Xinyue Chang , Yehua Li , Yi Li

Multivariate regression techniques are commonly applied to explore the associations between large numbers of outcomes and predictors. In real-world applications, the outcomes are often of mixed types, including continuous measurements,…

Methodology · Statistics 2020-10-19 Aditya Mishra , Dipak K. Dey , Yong Chen , Kun Chen

To study the neurophysiological basis of attention deficit hyperactivity disorder (ADHD), clinicians use electroencephalography (EEG) which record neuronal electrical activity on the cortex. Instead of focusing on single-channel spectral…

Applications · Statistics 2025-06-16 Paolo Victor Redondo , Raphael Huser , Hernando Ombao

Researchers are often interested in using longitudinal data to estimate the causal effects of hypothetical time-varying treatment interventions on the mean or risk of a future outcome. Standard regression/conditioning methods for…

Elder people consequence a variety of problems while living Activities of Daily Living (ADL) for the reason of age, sense, loneliness and cognitive changes. These cause the risk to ADL which leads to several falls. Getting real life fall…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Asma Khatun , Sk. Golam Sarowar Hossain

This paper develops a point impact linear regression model in which the trajectory of a continuous stochastic process, when evaluated at a sensitive time point, is associated with a scalar response. The proposed model complements and is…

Statistics Theory · Mathematics 2010-10-22 Ian W. McKeague , Bodhisattva Sen

In modern data science, dynamic tensor data is prevailing in numerous applications. An important task is to characterize the relationship between such dynamic tensor and external covariates. However, the tensor data is often only partially…

Machine Learning · Statistics 2021-05-17 Jie Zhou , Will Wei Sun , Jingfei Zhang , Lexin Li

An important task in survival analysis is choosing a structure for the relationship between covariates of interest and the time-to-event outcome. For example, the accelerated failure time (AFT) model structures each covariate effect as a…

Methodology · Statistics 2025-12-08 Harrison T. Reeder , Kyu Ha Lee , Sebastien Haneuse

We introduce Adaptive Functional Principal Component Analysis, a novel method to capture directions of variation in functional data that exhibit sharp changes in smoothness. We first propose a new adaptive scatterplot smoothing technique…

Methodology · Statistics 2023-10-04 Angel Garcia de la Garza , Britton Sauerbrei , Adam Hantman , Jeff Goldsmith

Functional regression analysis is an established tool for many contemporary scientific applications. Regression problems involving large and complex data sets are ubiquitous, and feature selection is crucial for avoiding overfitting and…

Methodology · Statistics 2024-10-18 Tobia Boschi , Lorenzo Testa , Francesca Chiaromonte , Matthew Reimherr

Many fMRI analyses examine functional connectivity, or statistical dependencies among remote brain regions. Yet popular methods for studying whole-brain functional connectivity often yield results that are difficult to interpret. Factor…

Methodology · Statistics 2024-09-24 Kyle Stanley , Nicole Lazar , Matthew Reimherr

Regularized variants of Principal Components Analysis, especially Sparse PCA and Functional PCA, are among the most useful tools for the analysis of complex high-dimensional data. Many examples of massive data, have both sparse and…

Machine Learning · Statistics 2019-08-21 Genevera I. Allen , Michael Weylandt