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Hypertensive disorders of pregnancy remain a leading cause of maternal and fetal morbidity worldwide, yet diagnosis relies on intermittent cuff-based blood pressure measurements that are prone to bias and fail to capture continuous…

The hierarchical Dirichlet process is a discrete random measure used as a prior in Bayesian nonparametrics and motivated by the study of groups of clustered data. We study the asymptotic behavior of the power sum symmetric polynomials for…

Probability · Mathematics 2025-08-29 Shui Feng , J. E. Paguyo

Hypertension-related conditions are the most prevalent complications of pregnancy worldwide. They manifest in up to 8% of cases and if left untreated, can lead to serious detrimental effects. Early detection of their sudden onset can help…

Computers and Society · Computer Science 2020-09-07 Iuliana Marin , Maria Iuliana Bocicor , Arthur-Jozsef Molnar

The Hierarchical Dirichlet process is a discrete random measure serving as an important prior in Bayesian non-parametrics. It is motivated with the study of groups of clustered data. Each group is modelled through a level two Dirichlet…

Probability · Mathematics 2022-10-25 Shui Feng

Across several medical fields, developing an approach for disease classification is an important challenge. The usual procedure is to fit a model for the longitudinal response in the healthy population, a different model for the…

Applications · Statistics 2025-12-02 Jeremy T. Gaskins , Claudio Fuentes , Rolando De la Cruz

Prenatal maternal stress alters maternal-fetal heart rate coupling, as demonstrated by the Fetal Stress Index derived from bivariate phase-rectified signal averaging. Here, we extend this framework using information-theoretical measures to…

Quantitative Methods · Quantitative Biology 2026-01-05 Nicolas B. Garnier , Maria S. Molinet , Marta C. Antonelli , Silvia M. Lobmaier , Martin G. Frasch

Computational cardiovascular models are promising tools for clinical decision support, particularly in complex conditions, such as intraoperative hypotension (IOH). IOH arises from different mechanisms, making treatment selection…

Medical Physics · Physics 2025-09-19 Jan-Niklas Thiel , Marko Zlicar , Ulrich Steinseifer , Borut Kirn , Michael Neidlin

It is becoming increasingly clear that complex interactions among genes and environmental factors play crucial roles in triggering complex diseases. Thus, understanding such interactions is vital, which is possible only through statistical…

Applications · Statistics 2020-05-04 Durba Bhattacharya , Sourabh Bhattacharya

Hypertension (HPT) refers to a condition where the pressure exerted on the walls of arteries by blood pumped from the heart to the body reaches levels that can lead to various ailments. Annually, a significant number of lives are lost…

Signal Processing · Electrical Eng. & Systems 2023-11-08 Yunus Emre Erdoğan , Ali Narin , Walid Hariri

Bayesian hierarchical modeling is a natural framework to effectively integrate data and borrow information across groups. In this paper, we address problems related to density estimation and identifying clusters across related groups, by…

Methodology · Statistics 2025-10-29 Huizi Zhang , Sara Wade , Natalia Bochkina

The hierarchical Dirichlet process is the cornerstone of Bayesian nonparametric multilevel models. Its generative model can be described through a set of latent variables, commonly referred to as tables within the popular restaurant…

Statistics Theory · Mathematics 2025-05-06 Marta Catalano , Claudio Del Sole

Hypertension is a medical condition that is well-established as a risk factor for many major diseases. For example, it can cause alterations in the cardiac structure and function over time that can lead to heart related morbidity and…

Pulmonary hypertension (PH), defined by a mean pulmonary arterial pressure (mPAP) $>$ 20 mmHg, is characterized by increased pulmonary vascular resistance and decreased pulmonary arterial compliance. There are few measurable biomarkers of…

Quantitative Methods · Quantitative Biology 2025-06-06 Amanda L. Colunga , Mitchel J. Colebank , REU Program , Mette S. Olufsen

This paper studies posterior concentration behavior of the base probability measure of a Dirichlet measure, given observations associated with the sampled Dirichlet processes, as the number of observations tends to infinity. The base…

Statistics Theory · Mathematics 2016-03-25 XuanLong Nguyen

We develop a hierarchical infinite latent factor model (HIFM) to appropriately account for the covariance structure across subpopulations in data. We propose a novel Hierarchical Dirichlet Process shrinkage prior on the loadings matrix that…

Applications · Statistics 2018-07-25 Elizabeth Lorenzi , Ricardo Henao , Katherine Heller

Heart murmurs are a common manifestation of cardiovascular diseases and can provide crucial clues to early cardiac abnormalities. While most current research methods primarily focus on the accuracy of models, they often overlook other…

Sound · Computer Science 2024-05-08 Zixing Zhang , Tao Pang , Jing Han , Björn W. Schuller

Infants born before 37 weeks of pregnancy are considered to be preterm. Typically, preterm infants have to be strictly monitored since they are highly susceptible to health problems like hypoxemia (low blood oxygen level), apnea,…

Signal Processing · Electrical Eng. & Systems 2020-11-19 Sinjini Mitra

Recent evidence shows that deep learning models trained on electronic health records from millions of patients can deliver substantially more accurate predictions of risk compared to their statistical counterparts. While this provides an…

Assessing homogeneity of distributions is an old problem that has received considerable attention, especially in the nonparametric Bayesian literature. To this effect, we propose the semi-hierarchical Dirichlet process, a novel hierarchical…

Methodology · Statistics 2021-06-17 Mario Beraha , Alessandra Guglielmi , Fernando A. Quintana

In the pregnant mother and her fetus, chronic prenatal stress results in entrainment of the fetal heartbeat by the maternal heartbeat, quantified by the fetal stress index (FSI). Deep learning (DL) is capable of pattern detection in complex…

Quantitative Methods · Quantitative Biology 2021-12-20 Pritam Sarkar , Silvia Lobmaier , Bibiana Fabre , Diego González , Alexander Mueller , Martin G. Frasch , Marta C. Antonelli , Ali Etemad
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