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We present a multivariate functional mixed effects model for kinematic data from a large number of recreational runners. The runners' sagittal plane hip and knee angles are modelled jointly as a bivariate function with random effects…

This paper illustrates how multilevel functional models can detect and characterize biomechanical changes along different sport training sessions. Our analysis focuses on the relevant cases to identify differences in knee biomechanics in…

Applications · Statistics 2021-04-07 Marcos Matabuena , Sherveen Riazati , Nick Caplan , Phil Hayes

With the rapid development of wearable device technologies, accelerometers can record minute-by-minute physical activity for consecutive days, which provides important insight into a dynamic association between the intensity of physical…

Methodology · Statistics 2024-09-06 Cheng Cao , Jiguo Cao , Hao Pan , Yunting Zhang , Fan Jiang , Xinyue Li

Injuries to the lower extremity joints are often debilitating, particularly for professional athletes. Understanding the onset of stressful conditions on these joints is therefore important in order to ensure prevention of injuries as well…

Statistics Theory · Mathematics 2024-04-25 Patrick Bastian , Rupsa Basu , Holger Dette

The bilevel functional data under consideration has two sources of repeated measurements. One is to densely and repeatedly measure a variable from each subject at a series of regular time/spatial points, which is named as functional data.…

Methodology · Statistics 2021-11-15 Xiaotian Dai , Guifang Fu

Physical activity is crucial for human health. With the increasing availability of large-scale mobile health data, strong associations have been found between physical activity and various diseases. However, accurately capturing this…

Methodology · Statistics 2026-01-19 Xiaojing Sun , Bingxin Zhao , Fei Xue

We are motivated by a study that seeks to better understand the dynamic relationship between muscle activation and paw position during locomotion. For each gait cycle in this experiment, activation in the biceps and triceps is measured…

Methodology · Statistics 2024-07-01 Julia Wrobel , Britton Sauerbrei , Erik A. Kirk , Jian-Zhong Guo , Adam Hantman , Jeff Goldsmith

Wild animals are commonly fitted with trackers that record their position through time, and statistical models for tracking data broadly fall into two categories: models focused on small-scale movement decisions, and models for large-scale…

Applications · Statistics 2025-10-07 Théo Michelot , Ephraim M. Hanks

The methodological contribution in this paper is motivated by biomechanical studies where data characterizing human movement are waveform curves representing joint measures such as flexion angles, velocity, acceleration, and so on. In many…

Methodology · Statistics 2024-02-08 Christian Acal , Ana M. Aguilera

Multivariate functional data present theoretical and practical complications which are not found in univariate functional data. One of these is a situation where the component functions of multivariate functional data are positive and are…

Methodology · Statistics 2023-03-09 Cody Carroll , Hans-Georg Müller

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

Multivariate functional data can be intrinsically multivariate like movement trajectories in 2D or complementary like precipitation, temperature, and wind speeds over time at a given weather station. We propose a multivariate functional…

Methodology · Statistics 2021-10-06 Alexander Volkmann , Almond Stöcker , Fabian Scheipl , Sonja Greven

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

We consider analysis of dependent functional data that are correlated because of a longitudinal-based design: each subject is observed at repeated time visits and for each visit we record a functional variable. We propose a novel…

Methodology · Statistics 2015-06-30 So Young Park , Ana-Maria Staicu

We propose a flexible regression framework to model the conditional distribution of multilevel generalized multivariate functional data of potentially mixed type, e.g. binary and continuous data. We make pointwise parametric distributional…

Methodology · Statistics 2024-07-31 Alexander Volkmann , Nikolaus Umlauf , Sonja Greven

A functional linear discriminant analysis approach to classify a set of kinematic data (human movement curves of individuals performing different physical activities) is performed. Kinematic data, usually collected in linear acceleration or…

Methodology · Statistics 2024-02-09 M Carmen Aguilera-Morillo , Ana M Aguilera

A central task in the analysis of human movement behavior is to determine systematic patterns and differences across experimental conditions, participants and repetitions. This is possible because human movement is highly regular, being…

Applications · Statistics 2023-01-23 Lars Lau Raket , Britta Grimme , Gregor Schöner , Christian Igel , Bo Markussen

Joint models for a wide class of response variables and longitudinal measurements consist on a mixed-effects model to fit longitudinal trajectories whose random effects enter as covariates in a generalized linear model for the primary…

Methodology · Statistics 2014-07-03 Rolando De la Cruz , Cristian Meza , Ana Arribas-Gil , Raymond J. Carroll

Mobile health applications, including those that track activities such as exercise, sleep, and diet, are becoming widely used. Accurately predicting human actions is essential for targeted recommendations that could improve our health and…

Social and Information Networks · Computer Science 2018-02-27 Takeshi Kurashima , Tim Althoff , Jure Leskovec

Smartphone applications designed to track human motion in combination with wearable sensors, e.g., during physical exercising, raised huge attention recently. Commonly, they provide quantitative services, such as personalized training…

Machine Learning · Computer Science 2017-11-23 Andre Ebert , Michael Till Beck , Andy Mattausch , Lenz Belzner , Claudia Linnhoff Popien
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