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Shape-constrained functional data encompass a wide array of application fields, such as activity profiling, growth curves, healthcare and mortality. Most existing methods for general functional data analysis often ignore that such data are…

Methodology · Statistics 2024-08-13 Poorbita Kundu , Hans-Georg Müller

Recent advances in remote health monitoring systems have significantly benefited patients and played a crucial role in improving their quality of life. However, while physiological health-focused solutions have demonstrated increasing…

Machine Learning · Computer Science 2023-03-28 Shayan Fazeli , Lionel Levine , Mehrab Beikzadeh , Baharan Mirzasoleiman , Bita Zadeh , Tara Peris , Majid Sarrafzadeh

This manuscript presents an innovative statistical model to quantify periodontal disease in the context of complex medical data. A mixed-effects model incorporating skewed random effects and heavy-tailed residuals is introduced, ensuring…

Methodology · Statistics 2025-09-26 Qingyang Liu , Debdeep Pati , Dipankar Bandyopadhyay

Patient motion is well-known for degrading image quality during medical imaging. Especially positron emission tomography (PET) is susceptible to motion due to its usually long scan times. In hybrid PET/MRI (magnetic resonance imaging),…

Medical Physics · Physics 2019-05-21 Lynn Johann Frohwein , Florian Büther , Klaus Peter Schäfers

Type 2 diabetes progresses slowly and may be reversed through lifestyle changes, but quantifying the long-term impact of regular physical activity remains challenging due to sparse longitudinal data. Mechanistic models offer a powerful tool…

Quantitative Methods · Quantitative Biology 2026-02-17 Lea Multerer , Pierluigi Francesco De Paola , Marta Lenatti , Alessia Paglialonga , Laura Azzimonti

Energy management systems (EMS) rely on (non)-intrusive load monitoring (N)ILM to monitor and manage appliances and help residents be more energy efficient and thus more frugal. The robustness as well as the transfer potential of the most…

Machine Learning · Computer Science 2023-04-20 Blaž Bertalanič , Jakob Jenko , Carolina Fortuna

Some data from multiple sources can be modeled as multimodal time-series events which have different sampling frequencies, data compositions, temporal relations and characteristics. Different types of events have complex nonlinear…

Artificial Intelligence · Computer Science 2022-09-07 Peiwang Tang , Xianchao Zhang

In this review paper, some applications of the mixed effect modeling in medial image processing and longitudinal analysis is studied. For this purpose, a general structure is extracted from some of the researches in the literature. This…

Medical Physics · Physics 2018-03-13 Fatemeh Nasiri , Oscar Acosta-Tamayo

Observational cohort studies are increasingly being used for comparative effectiveness research to assess the safety of therapeutics. Recently, various doubly robust methods have been proposed for average treatment effect estimation by…

Methodology · Statistics 2025-03-11 Xiaoqing Tan , Shu Yang , Wenyu Ye , Douglas E. Faries , Ilya Lipkovich , Zbigniew Kadziola

Clinical trials that investigate interventions on physical activity often use accelerometers to measure step count at a very granular level, often in 5-second epochs. Participants typically wear the accelerometer for a week-long period at…

With the rise of Industry 4.0, huge amounts of data are now generated that are apt to be modelled as functional data. In this setting, standard profile monitoring methods aim to assess the stability over time of a completely observed…

Applications · Statistics 2022-05-13 Fabio Centofanti , Antonio Lepore , Murat Kulahci , Max Peter Spooner

Cross-correlation functions (CCFs) are classical tools for studying lead-lag relationships between paired time series, but they are most often used descriptively rather than inferentially. Motivated by mouse experiments on gut-brain…

Applications · Statistics 2026-04-07 Bhaskar Ray , Tùng Bùi , William Matthew Howe , Srijan Sengupta

Identifying prognostic factors for disease progression is a cornerstone of medical research. Repeated assessments of a marker outcome are often used to evaluate disease progression, and the primary research question is to identify factors…

Computation · Statistics 2022-10-24 Brian Kwan , Lin Liu , David Strong , H. Irene Su , Loki Natarajan

We propose new ensemble models for multivariate functional data classification as combinations of semi-metric-based weak learners. Our models extend current semi-metric-type methods from the univariate to the multivariate case, propose new…

Wearable accelerometers are used for a wide range of applications, such as gesture recognition, gait analysis, and sports monitoring. Yet most existing foundation models focus primarily on classifying common daily activities such as…

Machine Learning · Computer Science 2025-09-29 Junyong Park , Oron Levy , Rebecca Adaimi , Asaf Liberman , Gierad Laput , Abdelkareem Bedri

Inspired by the complementarity between conventional frame-based and bio-inspired event-based cameras, we propose a multi-modal based approach to fuse visual cues from the frame- and event-domain to enhance the single object tracking…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Jiqing Zhang , Xin Yang , Yingkai Fu , Xiaopeng Wei , Baocai Yin , Bo Dong

Nonparametric estimation of the mean and covariance functions is ubiquitous in functional data analysis and local linear smoothing techniques are most frequently used. Zhang and Wang (2016) explored different types of asymptotic properties…

Statistics Theory · Mathematics 2025-01-28 Shaojun Guo , Dong Li , Xinghao Qiao , Yizhu Wang

Heterogeneous panel data models that allow the coefficients to vary across individuals and/or change over time have received increasingly more attention in statistics and econometrics. This paper proposes a two-dimensional heterogeneous…

Econometrics · Economics 2021-10-22 Wei Wang , Xiaodong Yan , Yanyan Ren , Zhijie Xiao

We consider the problem of learning predictive models from longitudinal data, consisting of irregularly repeated, sparse observations from a set of individuals over time. Such data often exhibit {\em longitudinal correlation} (LC)…

Machine Learning · Statistics 2019-11-25 Junjie Liang , Dongkuan Xu , Yiwei Sun , Vasant Honavar

Functional data play a pivotal role across science and engineering, yet their infinite-dimensional nature makes representation learning challenging. Conventional statistical models depend on pre-chosen basis expansions or kernels, limiting…

Machine Learning · Computer Science 2025-10-02 Yifei Gao , Yong Chen , Chen Zhang