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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

Functional data analysis (FDA) methods have computational and theoretical appeals for some high dimensional data, but lack the scalability to modern large sample datasets. To tackle the challenge, we develop randomized algorithms for two…

Computation · Statistics 2022-04-11 Shiyuan He , Xiaomeng Yan

Physical rehabilitation exercises suggested by healthcare professionals can help recovery from various musculoskeletal disorders and prevent re-injury. However, patients' engagement tends to decrease over time without direct supervision,…

Human-Computer Interaction · Computer Science 2025-04-22 Aleksa Marusic , Sao Mai Nguyen , Adriana Tapus

The function-on-function regression model is fundamental for analyzing relationships between functional covariates and responses. However, most existing function-on-function regression methodologies assume independence between observations,…

Methodology · Statistics 2025-12-02 Ufuk Beyaztas , Han Lin Shang , Gizel Bakicierler Sezer

In this paper, we propose a functional analysis of a set of individual space-speed profiles corresponding to speed as function of the distance traveled by the vehicle from an initial point. This functional analysis begins with a functional…

Applications · Statistics 2014-01-21 Cindie Andrieu , Guillaume Saint Pierre , Xavier Bressaud

In this work, we develop an automated method to generate 3D human walking motion in simulation which is comparable to real-world human motion. At the core, our work leverages the ability of deep reinforcement learning methods to learn…

Robotics · Computer Science 2021-03-16 Visak Kumar

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

Human walking is a complex activity with a high level of cooperation and interaction between different systems in the body. Accurate detection of the phases of the gait in real-time is crucial to control lower-limb assistive devices like…

Signal Processing · Electrical Eng. & Systems 2024-03-12 Farhad Nazari , Navid Mohajer , Darius Nahavandi , Abbas Khosravi

A new approach for functional data description is proposed in this paper. It consists of a regression model with a discrete hidden logistic process which is adapted for modeling curves with abrupt or smooth regime changes. The model…

Methodology · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

Current status data are commonly encountered in medical and epidemiological studies in which the failure time for study units is the outcome variable of interest. Data of this form are characterized by the fact that the failure time is not…

Methodology · Statistics 2019-04-25 Yan Liu , Minggen Lu , Christopher S. McMahan

Classical functional linear regression models the relationship between a scalar response and a functional covariate, where the coefficient function is assumed to be identical for all subjects. In this paper, the classical model is extended…

Methodology · Statistics 2022-11-29 Yifan Sun , Ziyi Liu , Wu Wang

Imbalanced datasets pose a considerable challenge in training deep learning (DL) models for medical diagnostics, particularly for segmentation tasks. Imbalance may be associated with annotation quality limited annotated datasets, rare…

Image and Video Processing · Electrical Eng. & Systems 2025-04-08 Bashir Alam , Masa Cirkovic , Mete Harun Akcay , Md Kaf Shahrier , Sebastien Lafond , Hergys Rexha , Kurt Benke , Sepinoud Azimi , Janan Arslan

Establishing causality is a fundamental goal in fields like medicine and social sciences. While randomized controlled trials are the gold standard for causal inference, they are not always feasible or ethical. Observational studies can…

Statistics Theory · Mathematics 2024-12-03 Andrew Ying

A brain computer interface (BCI) is a system which provides direct communication between the mind of a person and the outside world by using only brain activity (EEG). The event-related potential (ERP)-based BCI problem consists of a binary…

Computer Vision and Pattern Recognition · Computer Science 2016-08-25 Victoria Peterson , Hugo Leonardo Rufiner , Ruben Daniel Spies

Classification is a core topic in functional data analysis. A large number of functional classifiers have been proposed in the literature, most of which are based on functional principal component analysis or functional regression. In…

Methodology · Statistics 2025-10-14 Ruoxu Tan , Yiming Zang

The prompt and accurate recognition of Continuous Human Activity (CHAR) is critical in identifying and responding to health events, particularly fall risk assessment. In this paper, we examine a multi-antenna radar system that can process…

Image and Video Processing · Electrical Eng. & Systems 2023-04-14 John Kobak , Bennett J. Richman , LaJuan Washington , Syed A. Hamza

Human movements are characterized by highly non-linear and multi-dimensional interactions within the motor system. Recently, an increasing emphasis on machine-learning applications has led to a significant contribution to the field of gait…

Machine Learning · Computer Science 2020-07-31 Johannes Burdack , Fabian Horst , Sven Giesselbach , Ibrahim Hassan , Sabrina Daffner , Wolfgang I. Schöllhorn

Multistage sequential decision-making scenarios are commonly seen in the healthcare diagnosis process. In this paper, an active learning-based method is developed to actively collect only the necessary patient data in a sequential manner.…

Machine Learning · Statistics 2022-01-14 Hongzhen Tian , Reuven Zev Cohen , Chuck Zhang , Yajun Mei

We study a non linear regression model with functional data as inputs and scalar response. We propose a pointwise estimate of the regression function that maps a Hilbert space onto the real line by a local linear method. We provide the…

Statistics Theory · Mathematics 2013-02-20 Alain Berlinet , Abdallah Elamine , André Mas

Functional data analysis is concerned with the analysis of infinite-dimensional data functions. Functional principal component analysis (FPCA) is a key method to obtain finite-dimensional summaries. Consistency of FPCA has been…

Methodology · Statistics 2026-04-24 Tim Kutta , Nina Dörnemann , Piotr Kokoszka