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As a general and robust alternative to traditional mean regression models, quantile regression avoids the assumption of normally distributed errors, making it a versatile choice when modeling outcomes such as cognitive scores that typically…

Methodology · Statistics 2026-03-19 Rongke Lyu , Marina Vannucci , Suprateek Kundu

Tucker tensor decomposition offers a more effective representation for multiway data compared to the widely used PARAFAC model. However, its flexibility brings the challenge of selecting the appropriate latent multi-rank. To overcome the…

Methodology · Statistics 2025-05-19 Federica Stolf , Antonio Canale

Characterizing the relationship between neural population activity and behavioral data is a central goal of neuroscience. While latent variable models (LVMs) are successful in describing high-dimensional time-series data, they are typically…

Machine Learning · Computer Science 2026-02-12 Rabia Gondur , Usama Bin Sikandar , Evan Schaffer , Mikio Christian Aoi , Stephen L Keeley

The improvement of mortality projection is a pivotal topic in the diverse branches related to insurance, demography, and public policy. Motivated by the thread of Lee-Carter related models, we propose a Bayesian model to estimate and…

Applications · Statistics 2021-02-24 Zhen Liu , Xiaoqian Sun , Leping Liu , Yu-Bo Wang

An important task in health research is to characterize time-to-event outcomes such as disease onset or mortality in terms of a potentially high-dimensional set of risk factors. For example, prospective cohort studies of Alzheimer's disease…

Methodology · Statistics 2024-01-12 Harrison T. Reeder , Sebastien Haneuse , Kyu Ha Lee

We propose a novel tensor-on-tensor modeling framework that flexibly models nonlinear voxel-level relationships using Gaussian process (GP) priors, while incorporating the spatial structure of the output tensor through low-rank tensor-based…

Methodology · Statistics 2026-04-10 Yajie Liu , Hengrui Luo , Suprateek Kundu

The construction of coherent prediction models holds great importance in medical research as such models enable health researchers to gain deeper insights into disease epidemiology and clinicians to identify patients at higher risk of…

Applications · Statistics 2024-01-17 Guanbo Wang , Sylvie Perreault , Robert W. Platt , Rui Wang , Marc Dorais , Mireille E. Schnitzer

Cystic fibrosis is a chronic lung disease which requires frequent patient monitoring to maintain lung function over time and minimize onset of acute respiratory events known as pulmonary exacerbations. From the clinical point of view it is…

Data-driven reduced-order models based on autoencoders generally lack interpretability compared to classical methods such as the proper orthogonal decomposition. More interpretability can be gained by disentangling the latent variables and…

Machine Learning · Computer Science 2025-02-21 Henning Schwarz , Pyei Phyo Lin , Jens-Peter M. Zemke , Thomas Rung

Causal inference relies on the untestable assumption of no unmeasured confounding. Sensitivity analysis can be used to quantify the impact of unmeasured confounding on causal estimates. Among sensitivity analysis methods proposed in the…

Methodology · Statistics 2026-03-12 Yushu Zou , Liangyuan Hu , Amanda Ricciuto , Mark Deneau , Kuan Liu

Non-negative tensor factorization models enable predictive analysis on count data. Among them, Bayesian Poisson-Gamma models can derive full posterior distributions of latent factors and are less sensitive to sparse count data. However,…

Machine Learning · Computer Science 2020-12-15 Yuan Jin , Ming Liu , Yunfeng Li , Ruohua Xu , Lan Du , Longxiang Gao , Yong Xiang

Text-to-speech synthesis (TTS) is a task to convert texts into speech. Two of the factors that have been driving TTS are the advancements of probabilistic models and latent representation learning. We propose a TTS method based on latent…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-19 Yusuke Yasuda , Tomoki Toda

Hierarchical learning models, such as mixture models and Bayesian networks, are widely employed for unsupervised learning tasks, such as clustering analysis. They consist of observable and hidden variables, which represent the given data…

Machine Learning · Statistics 2018-01-08 Keisuke Yamazaki

In this paper, we propose a general framework for combining evidence of varying quality to estimate underlying binary latent variables in the presence of restrictions imposed to respect the scientific context. The resulting algorithms…

Methodology · Statistics 2018-08-28 Zhenke Wu , Livia Casciola-Rosen , Antony Rosen , Scott L. Zeger

Extracting biomedical relations from large corpora of scientific documents is a challenging natural language processing task. Existing approaches usually focus on identifying a relation either in a single sentence (mention-level) or across…

Computation and Language · Computer Science 2020-11-23 Harshil Shah , Julien Fauqueur

Medical time series datasets feature missing values that need data imputation methods, however, conventional machine learning models fall short due to a lack of uncertainty quantification in predictions. Among these models, the CATSI…

Machine Learning · Computer Science 2024-10-07 Omkar Kulkarni , Rohitash Chandra

Obtaining a reliable estimate of the joint probability mass function (PMF) of a set of random variables from observed data is a significant objective in statistical signal processing and machine learning. Modelling the joint PMF as a tensor…

Machine Learning · Statistics 2026-02-03 Joseph K. Chege , Arie Yeredor , Martin Haardt

Most brain disorders are very heterogeneous in terms of their underlying biology and developing analysis methods to model such heterogeneity is a major challenge. A promising approach is to use probabilistic regression methods to estimate…

Machine Learning · Statistics 2018-12-03 Seyed Mostafa Kia , Christian F. Beckmann , Andre F. Marquand

Understanding the underlying causes of maternal death across all regions of the world is essential to inform policies and resource allocation to reduce the mortality burden. However, in many countries there exists very little data on the…

Applications · Statistics 2021-12-09 Monica Alexander , Michael Y. C. Chong , Marija Pejcinovska

Estimating causal effects from observational data is challenging, especially in the presence of latent confounders. Much work has been done on addressing this challenge, but most of the existing research ignores the bias introduced by the…

Machine Learning · Computer Science 2024-08-15 Yang Xie , Ziqi Xu , Debo Cheng , Jiuyong Li , Lin Liu , Yinghao Zhang , Zaiwen Feng