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The Gaussian mixture model is widely used in unsupervised learning, owing to its simplicity and interpretability. However, a fundamental limitation of the classical Gaussian mixture model is that it forces each observation to belong to…

Machine Learning · Statistics 2026-04-27 Huan Qing

Joint models for longitudinal and time-to-event data are commonly used in longitudinal studies to forecast disease trajectories over time. Despite the many advantages of joint modeling, the standard forms suffer from limitations that arise…

Machine Learning · Statistics 2018-07-10 Bryan Lim , Mihaela van der Schaar

Characterization of long-term disease dynamics, from disease-free to end-stage, is integral to understanding the course of neurodegenerative diseases such as Parkinson's and Alzheimer's; and ultimately, how best to intervene. Natural…

Applications · Statistics 2018-01-12 Dan Li , Samuel Iddi , Wesley K. Thompson , Michael C. Donohue

Finite mixture model is an important branch of clustering methods and can be applied on data sets with mixed types of variables. However, challenges exist in its applications. First, it typically relies on the EM algorithm which could be…

Machine Learning · Statistics 2019-05-10 Shu Wang , Jonathan G. Yabes , Chung-Chou H. Chang

The classic semi-Markov disability model is expanded with individual and collective health claims to improve its explanatory and predictive power -- in particular in the context of group experience rating. The inclusion of collective health…

Risk Management · Quantitative Finance 2026-05-20 Christian Furrer , Philipp C. Hornung

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

Methodology · Statistics 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

Functional data analysis (FDA) is an important modern paradigm for handling infinite-dimensional data. An important task in FDA is model-based clustering, which organizes functional populations into groups via subpopulation structures. The…

Computation · Statistics 2017-02-14 Hien D Nguyen , Geoffrey J McLachlan , Jeremy F P Ullmann , Andrew L Janke

Longitudinal omics data (LOD) analysis is essential for understanding the dynamics of biological processes and disease progression over time. This review explores various statistical and computational approaches for analyzing such data,…

Methodology · Statistics 2025-06-16 Ali R. Taheriyoun , Allen Ross , Abolfazl Safikhani , Damoon Soudbakhsh , Ali Rahnavard

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…

Applications · Statistics 2025-01-03 Xiaojing Sun , Bingxin Zhao , Fei Xue

We propose a new model for comprehensively monitoring the health status of individuals by calculating a personal health index. The central framework of the model is the International Classification of Functioning, Disability and Health…

Computers and Society · Computer Science 2023-04-14 Ilkka Rautiainen , Lauri Parviainen , Veera Jakoaho , Sami Äyrämö , Jukka-Pekka Kauppi

The standard mixture modeling framework has been widely used to study heterogeneous populations, by modeling them as being composed of a finite number of homogeneous sub-populations. However, the standard mixture model assumes that each…

Methodology · Statistics 2025-08-05 Emiliano Seri , Roberto Rocci , Thomas Brendan Murphy

Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper is the first of a…

Quantitative Methods · Quantitative Biology 2018-08-21 Fabrice Delbary , Sara Garbarino , Valentina Vivaldi

The analysis of large scale medical claims data has the potential to improve quality of care by generating insights which can be used to create tailored medical programs. In particular, the multivariate probit model can be used to…

Mixed membership models are an extension of finite mixture models, where each observation can partially belong to more than one mixture component. A probabilistic framework for mixed membership models of high-dimensional continuous data is…

A widely-used model for determining the long-term health impacts of public health interventions, often called a "multistate lifetable", requires estimates of incidence, case fatality, and sometimes also remission rates, for multiple…

Applications · Statistics 2023-03-23 Christopher Jackson , Belen Zapata-Diomedi , James Woodcock

Multimorbidity, the co-occurrence of two or more chronic diseases such as diabetes, obesity or cardiovascular diseases in one patient, is a frequent phenomenon. To make care more efficient, it is of relevance to understand how different…

Medical Physics · Physics 2019-08-05 Nils Haug , Stefan Thurner , Alexandra Kautzky-Willer , Michael Gyimesi , Peter Klimek

Analyzing multilayer networks is central to understanding complex relational measurements collected across multiple conditions or over time. A pivotal task in this setting is to quantify uncertainty in community structure while…

Methodology · Statistics 2025-12-10 Fangzheng Xie , Hsin-Hsiung Huang

Diabetes prevalence is on the rise in the UK, and for public health strategy, estimation of relative disease risk and subsequent mapping is important. We consider an application to London data on diabetes prevalence and mortality. In order…

Applications · Statistics 2020-12-08 Marco Gramatica , Peter Congdon , Silvia Liverani

Multi-task learning is a type of transfer learning that trains multiple tasks simultaneously and leverages the shared information between related tasks to improve the generalization performance. However, missing features in the input matrix…

Machine Learning · Statistics 2018-07-09 Xin J. Hunt , Saba Emrani , Ilknur Kaynar Kabul , Jorge Silva