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Probabilistic principal component analysis (PPCA) is a probabilistic reformulation of principal component analysis (PCA), under the framework of a Gaussian latent variable model. To improve the robustness of PPCA, it has been proposed to…

Methodology · Statistics 2023-11-28 Yiping Guo , Howard D. Bondell

In biomedical studies it is common to collect data on multiple biomarkers during study follow-up for dynamic prediction of a time-to-event clinical outcome. The biomarkers are typically intermittently measured, missing at some event times,…

Methodology · Statistics 2021-07-05 Ning Li , Yi Liu , Shanpeng Li , Robert M. Elashoff , Gang Li

A mixture of common skew-t factor analyzers model is introduced for model-based clustering of high-dimensional data. By assuming common component factor loadings, this model allows clustering to be performed in the presence of a large…

Methodology · Statistics 2014-05-05 Paula M. Murray , Paul D. McNicholas , Ryan P. Browne

The mixed effects model for repeated measures (MMRM) has been widely used for the analysis of longitudinal clinical data collected at a number of fixed time points. We propose a robust extension of the MMRM for skewed and heavy-tailed data…

Methodology · Statistics 2019-08-12 Yongqiang Tang

Our adaptive immune system relies on the persistence over long times of a diverse set of antigen-experienced B cells to encode our memories of past infections and to protect us against future ones. While longitudinal repertoire sequencing…

Populations and Evolution · Quantitative Biology 2025-12-15 Andrea Mazzolini , Aleksandra M. Walczak , Thierry Mora

T cell receptor (TCR) recognition of peptide-MHC (pMHC) complexes is fundamental to adaptive immunity and central to the development of T cell-based immunotherapies. While transformer-based models have shown promise in predicting TCR-pMHC…

Computational Engineering, Finance, and Science · Computer Science 2025-09-23 Jiarui Li , Zixiang Yin , Zhengming Ding , Samuel J. Landry , Ramgopal R. Mettu

To extend cognitive diagnostic models (CDMs) to longitudinal settings, stepwise approaches that integrate a CDM model with a latent transition model and covariates are widely used due to their flexibility. Previous research has shown that…

Methodology · Statistics 2026-04-20 Yawen Ma , Anastasia Ushakova , Kate Cain , Gabriel Wallin

Temporal data, obtained in the setting where it is only possible to observe one time point per experiment, is widely used in different research fields, yet remains insufficiently addressed from the statistical point of view. Such data often…

Methodology · Statistics 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

Envelope model also known as multivariate regression model was proposed to solve the multiple response regression problems. It measures the linear association between predictors and multiple responses by using the minimal reducing subspace…

Methodology · Statistics 2018-05-07 Bochao Jia

This paper exploits a simplified version of the mixture of multivariate t-factor analyzers (MtFA) for robust mixture modelling and clustering of high-dimensional data that frequently contain a number of outliers. Two classes of eight…

Methodology · Statistics 2013-03-12 Tsung-I Lin , Paul D. McNicholas , Hsiu J. Ho

In developing data-driven modeling methodologies, there is an ongoing need to reconcile the strong predictive performance of opaque black-box models with the transparency required for critical applications. This work introduces an…

Machine Learning · Statistics 2026-05-21 Xin Huang , Jia Li , Jun Yu

Liquid mixtures of many interacting components often exhibit numerous coexisting types of droplets. An exciting example is the cytosol of biological cells, where diverse droplets, called condensates, are essential for cellular function.…

Soft Condensed Matter · Physics 2025-05-28 Yicheng Qiang , Chengjie Luo , David Zwicker

Tumor-immune interactions are central to cancer progression and treatment outcomes. In this study, we present a stochastic agent-based model that integrates cellular heterogeneity, spatial cell-cell interactions, and drug resistance…

Tissues and Organs · Quantitative Biology 2026-05-19 Yuhong Zhang , Chenghang Li , Boya Wang , Jinzhi Lei

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

Methodology · Statistics 2022-10-14 Erik Spånberg

The antibody repertoire of each individual is continuously updated by the evolutionary process of B cell receptor mutation and selection. It has recently become possible to gain detailed information concerning this process through…

Populations and Evolution · Quantitative Biology 2015-05-11 Connor O. McCoy , Trevor Bedford , Vladimir N. Minin , Philip Bradley , Harlan Robins , Frederick A. Matsen

Stochastic reaction networks with mass-action kinetics provide a useful framework for understanding processes -- biochemical and otherwise -- in homogeneous environments. However, cellular reactions are often compartmentalized, either at…

Probability · Mathematics 2026-05-01 David F. Anderson , Aidan S. Howells , Diego Rojas La Luz

The human adaptive immune response is known to weaken in advanced age, resulting in increased severity of pathogen-born illness, poor vaccine efficacy, and a higher prevalence of cancer in the elderly. Age-related erosion of the T-cell…

Populations and Evolution · Quantitative Biology 2019-01-03 Stephanie M. Lewkiewicz , Yao-Li Chuang , Tom Chou

Longitudinal data are characterized by the dependence between observations coming from the same individual. In a regression perspective, such a dependence can be usefully ascribed to unobserved features (covariates) specific to each…

Methodology · Statistics 2015-09-07 Maria Francesca Marino , Marco Alfó

In systems biomedicine, an experimenter encounters different potential sources of variation in data such as individual samples, multiple experimental conditions, and multi-variable network-level responses. In multiparametric cytometry,…

In social sciences, studies are often based on questionnaires asking participants to express ordered responses several times over a study period. We present a model-based clustering algorithm for such longitudinal ordinal data. Assuming…

Methodology · Statistics 2024-01-29 Francesco Amato , Julien Jacques , Isabelle Prim-Allaz