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Joint models for longitudinal and survival data have gained a lot of attention in recent years, with the development of myriad extensions to the basic model, including those which allow for multivariate longitudinal data, competing risks…

Methodology · Statistics 2020-03-09 Katya Mauff , Ewout Steyerberg , Isabella Kardys , Eric Boersma , Dimitris Rizopoulos

There has been much recent, exciting work on combining the complementary strengths of latent variable models and deep learning. Latent variable modeling makes it easy to explicitly specify model constraints through conditional independence…

Computation and Language · Computer Science 2019-08-06 Yoon Kim , Sam Wiseman , Alexander M. Rush

This paper investigates nonlinear panel regression models with interactive fixed effects and introduces a general framework for parameter estimation under potentially non-convex objective functions. We propose a computationally feasible…

Econometrics · Economics 2025-12-01 Kan Yao

Collecting multiple longitudinal measurements and time-to-event outcomes is a common practice in clinical and epidemiological studies, often focusing on exploring associations between them. Joint modeling is the standard analytical tool for…

Methodology · Statistics 2024-12-10 Taban Baghfalaki , Reza Hashemi , Catherine Helmer , Helene Jacqmin-Gadda

In data science and machine learning, hierarchical parametric models, such as mixture models, are often used. They contain two kinds of variables: observable variables, which represent the parts of the data that can be directly measured,…

Machine Learning · Statistics 2015-04-20 Keisuke Yamazaki

Latent feature modeling allows capturing the latent structure responsible for generating the observed properties of a set of objects. It is often used to make predictions either for new values of interest or missing information in the…

Machine Learning · Statistics 2018-03-09 Isabel Valera , Melanie F. Pradier , Maria Lomeli , Zoubin Ghahramani

Latent variable models are used to estimate variables of interest quantities which are observable only up to some measurement error. In many studies, such variables are known but not precisely quantifiable (such as "job satisfaction" in…

Machine Learning · Statistics 2012-10-19 Ricardo Silva

Sequential modelling of high-dimensional data is an important problem that appears in many domains including model-based reinforcement learning and dynamics identification for control. Latent variable models applied to sequential data…

Machine Learning · Computer Science 2023-01-23 Oliver Limoyo , Trevor Ablett , Jonathan Kelly

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

Suppose we observe samples of a subset of a collection of random variables. No additional information is provided about the number of latent variables, nor of the relationship between the latent and observed variables. Is it possible to…

Statistics Theory · Mathematics 2012-11-05 Venkat Chandrasekaran , Pablo A. Parrilo , Alan S. Willsky

A local projection model is defined by a set of linear regressions that account for the associations between exogenous variables and an endogenous variable observed at different time points. While it is standard practice to separately…

Methodology · Statistics 2020-07-14 Masahiro Tanaka

Motivated by genetic association studies of pleiotropy, we propose here a Bayesian latent variable approach to jointly study multiple outcomes or phenotypes. The proposed method models both continuous and binary phenotypes, and it accounts…

Applications · Statistics 2012-11-08 Lizhen Xu , Radu V. Craiu , Lei Sun

Ecologists increasingly rely on Bayesian methods to fit capture-recapture models. Capture-recapture models are used to estimate abundance while accounting for imperfect detectability in individual-level data. A variety of implementations…

Methodology · Statistics 2023-02-01 Mevin B Hooten , Michael R Schwob , Devin S Johnson , Jacob S. Ivan

We present an integrated approach for structure and parameter estimation in latent tree graphical models. Our overall approach follows a "divide-and-conquer" strategy that learns models over small groups of variables and iteratively merges…

Machine Learning · Computer Science 2019-12-19 Furong Huang , Niranjan U. N. , Ioakeim Perros , Robert Chen , Jimeng Sun , Anima Anandkumar

Building classification models that predict a binary class label on the basis of high dimensional multi-omics datasets poses several challenges, due to the typically widely differing characteristics of the data layers in terms of number of…

Methodology · Statistics 2020-08-04 Alessandra Cabassi , Denis Seyres , Mattia Frontini , Paul D. W. Kirk

Probabilistic Latent Semantic Analysis is a novel statistical technique for the analysis of two-mode and co-occurrence data, which has applications in information retrieval and filtering, natural language processing, machine learning from…

Machine Learning · Computer Science 2013-01-30 Thomas Hofmann

Linear regressions with endogeneity are widely used to estimate causal effects. This paper studies a framework that involves two common practical issues: endogeneity of the regressors and heteroskedasticity that depends on endogenous…

Econometrics · Economics 2025-12-10 Javier Alejo , Antonio F. Galvao , Julian Martinez-Iriarte , Gabriel Montes-Rojas

Increasing evidence suggests that variability in longitudinal biomarkers, in addition to their mean trajectory, carries prognostic information for time-to-event outcomes. However, standard joint models typically capture only the expected…

Methodology · Statistics 2026-05-08 Felix Boakye Oppong , Dimitris Rizopoulos , Thierry Gorlia , Nicole Erler

We propose an estimation method for the conditional mode when the conditioning variable is high-dimensional. In the proposed method, we first estimate the conditional density by solving quantile regressions multiple times. We then estimate…

Machine Learning · Statistics 2017-12-27 Hirofumi Ohta , Satoshi Hara

The Latent Block Model (LBM) is a model-based method to cluster simultaneously the $d$ columns and $n$ rows of a data matrix. Parameter estimation in LBM is a difficult and multifaceted problem. Although various estimation strategies have…

Statistics Theory · Mathematics 2020-02-26 Vincent Brault , Christine Keribin , Mahendra Mariadassou