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Functional Principal Components Analysis (FPCA) is a widely used analytic tool for dimension reduction of functional data. Traditional implementations of FPCA estimate the principal components from the data, then treat these estimates as…

Methodology · Statistics 2026-04-03 Joseph Sartini , Xinkai Zhou , Liz Selvin , Scott Zeger , Ciprian Crainiceanu

We studied simple random-walk models with asymmetric time delays. Stochastic simulations were performed for hyperbolic-tangent fitness functions and to obtain analytical results we approximated them by step functions. A novel behavior has…

Statistical Mechanics · Physics 2025-05-30 Kamil Łopuszański , Jacek Miękisz

We investigate if known extrinsic and intrinsic factors fully account for the complex features observed in recordings of human activity as measured from forearm motion in subjects undergoing their regular daily routine. We demonstrate that…

Biological Physics · Physics 2009-11-10 Kun Hu , Plamen Ch. Ivanov , Zhi Chen , Michael F. Hilton , H. Eugene Stanley , Steven A. Shea

Wearable devices are often used in clinical and epidemiological studies to monitor physical activity behavior and its influence on health outcomes. These devices are worn over multiple days to record activity patterns, such as step counts…

Methodology · Statistics 2025-11-14 Heyang Ji , Lan Xue , Ufuk Beyaztas , Roger S. Zoh , Jeff Goldsmith , Mark E. Benden , Carmen D. Tekwe

Physical activity is a modifiable lifestyle factor with potential to support cognitive resilience. However, the association of moderate-to-vigorous physical activity (MVPA) intensity, and timing, with cognitive function and region-specific…

Neurons and Cognition · Quantitative Biology 2025-09-10 Wasif Khan , Lin Gu , Noah Hammarlund , Lei Xing , Joshua K. Wong , Ruogu Fang

Background: Human gait exhibits complex fractal fluctuations among consecutive strides. The time series of gait parameters are long-range correlated (statistical persistence). In contrast, when gait is synchronized with external rhythmic…

Quantitative Methods · Quantitative Biology 2020-08-17 Philippe Terrier

Digital humans are emerging as autonomous agents in multiparty interactions, yet existing evaluation metrics largely ignore contextual coordination dynamics. We introduce a unified, intervention-driven framework for objective assessment of…

Human-Computer Interaction · Computer Science 2025-08-18 Ojas Shirekar , Wim Pouw , Chenxu Hao , Vrushank Phadnis , Thabo Beeler , Chirag Raman

We develop a fully coupled theoretical description of dislocation dynamics on deformable crystalline surfaces, using continuum modeling and the amplitude-phase-field crystal (APFC) framework extended to curved geometries. We derive a…

Soft Condensed Matter · Physics 2026-02-17 Marcello De Donno , Luiza Angheluta , Marco Salvalaglio

Metabolic Syndrome (MetS) is a serious condition that can be an early warning sign of heart disease and Type 2 diabetes. MetS is characterized by having elevated levels of blood pressure, cholesterol, waist circumference, and fasting…

Applications · Statistics 2023-08-14 Daniel Ries , Alicia Carriquiry

We develop uniform confidence bands for the mean function of stationary time series as a post-hoc analysis of multiple change point detection in functional time series. In particular, the methodology in this work provides bands for those…

Methodology · Statistics 2025-02-13 Patrick Bastian , Rupsa Basu , Holger Dette

When functional data manifest amplitude and phase variations, a commonly-employed framework for analyzing them is to take away the phase variation through a function alignment and then to apply standard tools to the aligned functions. A…

Methodology · Statistics 2017-05-30 Sungwon Lee , Sungkyu Jung

The present study analyzes the changes in acceleration produced by swimmers before and after fatiguing effort. The subjects (n=15) performed a 25-meter crawl series at maximum speed without fatigue, and a second series with fatigue. The…

Medical Physics · Physics 2008-01-21 V. Tella , J. L. Toca-Herrera , J. E. Gallach , J. Benavent , L. M. Gonzalez , R. Arellano

We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

Statistical Mechanics · Physics 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

Background: Symptom rating scales in psychiatry are limited by reliance on self-report, and lack of predictive power. Actigraphy, a passive wearable-based method for measuring sleep and physical activity, offers objective, high-resolution…

Quantitative Methods · Quantitative Biology 2025-07-31 Dylan Hamitouche , Tihare Zamorano , Youcef Barkat , Deven Parekh , Lena Palaniyappan , David Benrimoh

We study erratically moving spatial structures that are found in a driven interface in a random medium at the depinning threshold. We introduce a bond-disordered variant of the Sneppen model and study the effect of extremal dynamics on the…

Statistical Mechanics · Physics 2009-10-31 Supriya Krishnamurthy , Mustansir Barma

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…

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

Principal component analysis (PCA) is a powerful method that can identify patterns in large, complex data sets by constructing low-dimensional order parameters from higher-dimensional feature vectors. There are increasing efforts to use…

Mesoscale and Nanoscale Physics · Physics 2025-11-03 C. J. O. Reichhardt , D. McDermott , C. Reichhardt

Monitoring physical activity energy expenditure (PAEE) in daily life is essential for characterizing individual health and metabolic status. Although indirect calorimetry provides gold-standard PAEE measurements, it is impractical for…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Shuhao Que , Remco Poelarends , Valentina Breschi , Ying Wang

Biomechanics and human movement research often involves measuring multiple kinematic or kinetic variables regularly throughout a movement, yielding data that present as smooth, multivariate, time-varying curves and are naturally amenable to…