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This paper introduces the modeling of circular data with excess zeros under a longitudinal framework, where the response is a circular variable and the covariates can be both linear and circular in nature. In the literature, various…

Methodology · Statistics 2026-01-21 Prajamitra Bhuyan , Soutik Halder , Jayant Jha

Health registers contain rich information about individuals' health histories. Here our interest lies in understanding how individuals' health trajectories evolve in a nationwide longitudinal dataset with coded features, such as clinical…

Machine Learning · Computer Science 2024-12-13 Hans Moen , Vishnu Raj , Andrius Vabalas , Markus Perola , Samuel Kaski , Andrea Ganna , Pekka Marttinen

Multivariate categorical data occur in many applications of machine learning. One of the main difficulties with these vectors of categorical variables is sparsity. The number of possible observations grows exponentially with vector length,…

Machine Learning · Statistics 2015-03-10 Yarin Gal , Yutian Chen , Zoubin Ghahramani

Modeling non-linear temporal trajectories is of fundamental interest in many application areas, such as in longitudinal microbiome analysis. Many existing methods focus on estimating mean trajectories, but it is also often of value to…

Methodology · Statistics 2020-12-02 Lingjing Jiang , Yuan Zhong , Chris Elrod , Loki Natarajan , Rob Knight , Wesley K. Thompson

Longitudinal imaging is capable of capturing the static ana\-to\-mi\-cal structures and the dynamic changes of the morphology resulting from aging or disease progression. Self-supervised learning allows to learn new representation from…

Image and Video Processing · Electrical Eng. & Systems 2019-10-25 Antoine Rivail , Ursula Schmidt-Erfurth , Wolf-Dieter Vogl , Sebastian M. Waldstein , Sophie Riedl , Christoph Grechenig , Zhichao Wu , Hrvoje Bogunović

Estimating graphical model structure from high-dimensional and undersampled data is a fundamental problem in many scientific fields. Existing approaches, such as GLASSO, latent variable GLASSO, and latent tree models, suffer from high…

Machine Learning · Statistics 2019-09-18 Greg Ver Steeg , Hrayr Harutyunyan , Daniel Moyer , Aram Galstyan

We consider the problem of estimating a sparse precision matrix of a multivariate Gaussian distribution, including the case where the dimension $p$ is large. Gaussian graphical models provide an important tool in describing conditional…

Statistics Theory · Mathematics 2014-04-08 Sayantan Banerjee , Subhashis Ghosal

A full parametric and linear specification may be insufficient to capture complicated patterns in studies exploring complex features, such as those investigating age-related changes in brain functional abilities. Alternatively, a partially…

Methodology · Statistics 2024-02-07 Jia Liang , Shuo Chen , Peter Kochunov , L Elliot Hong , Chixiang Chen

We propose a Bayesian latent variable model to estimate covariate-assisted dependence structures across multiple modalities of multivariate data that may be observed asynchronously. This setting commonly arises in longitudinal biomedical…

Methodology · Statistics 2026-05-27 Kun Qian , Hyung G. Park

Researchers across different fields, including but not limited to ecology, biology, and healthcare, often face the challenge of sparse data. Such sparsity can lead to uncertainties, estimation difficulties, and potential biases in modeling.…

Methodology · Statistics 2026-01-09 Kumar Utkarsh , Nirmish R. Shah , Tanvi Banerjee , Daniel M. Abrams

One major impediment to the wider use of deep learning for clinical decision making is the difficulty of assigning a level of confidence to model predictions. Currently, deep Bayesian neural networks and sparse Gaussian processes are the…

Medical data range from genomic sequences and retinal photographs to structured laboratory results and unstructured clinical narratives. Although these modalities appear disparate, many encode convergent information about a single…

Quantitative Methods · Quantitative Biology 2025-06-06 Salil Patel

Three-dimensional clinical gait analysis is essential for selecting optimal treatment interventions for patients with cerebral palsy (CP), but generates a large amount of time series data. For the automated analysis of these data, machine…

Human-Computer Interaction · Computer Science 2022-12-20 Alexander Rind , Djordje Slijepčević , Matthias Zeppelzauer , Fabian Unglaube , Andreas Kranzl , Brian Horsak

Motivated by the need for computationally tractable spatial methods in neuroimaging studies, we develop a distributed and integrated framework for estimation and inference of Gaussian process model parameters with ultra-high-dimensional…

Methodology · Statistics 2024-02-09 Emily C. Hector , Brian J. Reich , Ani Eloyan

Background: Parkinson's disease (PD) is a prevalent long-term neurodegenerative disease. Though the diagnostic criteria of PD are relatively well defined, the current medical imaging diagnostic procedures are expertise-demanding, and thus…

Quantitative Methods · Quantitative Biology 2019-02-27 Jiahang Xu , Fangyang Jiao , Yechong Huang , Xinzhe Luo , Qian Xu , Ling Li , Xueling Liu , Chuantao Zuo , Ping Wu , Xiahai Zhuang

We propose a semi-partitioned Generalized Method of Moments (GMM) framework for analyzing longitudinal data with time-dependent covariates, within a marginal modeling paradigm. This approach addresses limitations of both aggregated and…

Methodology · Statistics 2026-03-04 Niloofar Ramezani , Jeffrey R. Wilson

Parkinson's disease (PD) is a common neurological disorder characterized by gait impairment. PD has no cure, and an impediment to developing a treatment is the lack of any accepted method to predict disease progression rate. The primary aim…

Signal Processing · Electrical Eng. & Systems 2019-11-26 Vyom Raval , Kevin P. Nguyen , Ashley Gerald , Richard B. Dewey , Albert Montillo

Previously we have developed the concept of the dynamic pathosome, which suggests that individual patterns of phenotype development, i.e., phenotypic trajectories, contain more information than is commonly appreciated and that a phenotype's…

Quantitative Methods · Quantitative Biology 2021-03-25 Peter Lenart , Daniela Kuruczova , Lubomir Kukla , Martin Scheringer , Julie Bienertova Vasku

In mixed longitudinal studies, a group of subjects enter the study at different ages (cross-sectional) and are followed for successive years (longitudinal). In the context of such studies, we consider nonparametric covariance estimation…

Methodology · Statistics 2020-12-02 Anru R. Zhang , Kehui Chen

In a longitudinal clinical registry, different measurement instruments might have been used for assessing individuals at different time points. To combine them, we investigate deep learning techniques for obtaining a joint latent…

Machine Learning · Computer Science 2023-12-04 Maren Hackenberg , Michelle Pfaffenlehner , Max Behrens , Astrid Pechmann , Janbernd Kirschner , Harald Binder