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An important task in clinical medicine is the construction of risk prediction models for specific subgroups of patients based on high-dimensional molecular measurements such as gene expression data. Major objectives in modeling…

Methodology · Statistics 2020-03-23 Katrin Madjar , Jörg Rahnenführer

This paper investigates the intrinsic group structures within the framework of large-dimensional approximate factor models, which portrays homogeneous effects of the common factors on the individuals that fall into the same group. To this…

Methodology · Statistics 2025-03-18 Yong He , Dong Liu , Guangming Pan , Yiming Wang

We propose a new method for studying environments with unobserved individual heterogeneity. Based on model-implied pairwise inequalities, the method classifies individuals in the sample into groups defined by discrete unobserved…

Econometrics · Economics 2020-11-19 Elena Krasnokutskaya , Kyungchul Song , Xun Tang

For data with high-dimensional covariates but small to moderate sample sizes, the analysis of single datasets often generates unsatisfactory results. The integrative analysis of multiple independent datasets provides an effective way of…

Methodology · Statistics 2015-01-19 Yuan Huang , Qingzhao Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

Linear regression and classification methods with repeated functional data are considered. For each statistical unit in the sample, a real-valued parameter is observed over time under different conditions related by some neighborhood…

Methodology · Statistics 2024-09-23 Issam-Ali Moindjié , Cristian Preda , Sophie Dabo-Niang

The identification of patient subgroups with comparable event-risk dynamics plays a key role in supporting informed decision-making in clinical research. In such settings, it is important to account for the inherent dependence that arises…

Computation · Statistics 2026-01-13 Alessandra Ragni , Lara Cavinato , Francesca Ieva

Interest in the study and analysis of dynamic processes in the social, behavioral, and health sciences has burgeoned in recent years due to the increased availability of intensive longitudinal data. However, how best to model and account…

Estimating heterogeneous treatment effects is critical in domains such as personalized medicine, resource allocation, and policy evaluation. A central challenge lies in identifying subpopulations that respond differently to interventions,…

Machine Learning · Statistics 2025-09-18 Zilong Wang , Turgay Ayer , Shihao Yang

Statistical dependencies among wavelet coefficients are commonly represented by graphical models such as hidden Markov trees(HMTs). However, in linear inverse problems such as deconvolution, tomography, and compressed sensing, the presence…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Nikhil S Rao , Robert D. Nowak , Stephen J. Wright , Nick G. Kingsbury

We propose a multi-threshold change plane regression model which naturally partitions the observed subjects into subgroups with different covariate effects. The underlying grouping variable is a linear function of covariates and thus…

Methodology · Statistics 2018-08-03 Jialiang Li , Yaguang Li , Baisuo Jin

A common assumption when sampling $p$-dimensional observations from $K$ distinct group is the equality of the covariance matrices. In this paper, we propose two penalized $M$-estimation approaches for the estimation of the covariance or…

Methodology · Statistics 2016-08-30 Esa Ollila , Ilya Soloveychik , David E. Tyler , Ami Wiesel

A common goal in comparative effectiveness research is to estimate treatment effects on pre-specified subpopulations of patients. Though widely used in medical research, causal inference methods for such subgroup analysis remain…

In this paper, a linear model with grouped explanatory variables is considered. The idea is to perform an automatic detection of different successive groups of the unknown coefficients under the assumption that the number of groups is of…

Methodology · Statistics 2019-05-22 Gabriela Ciuperca , Matus Maciak , Francois Wahl

In this study, we address the challenge of survival analysis within heterogeneous patient populations, where traditional reliance on a single regression model such as the Cox proportional hazards (Cox PH) model often falls short.…

Methodology · Statistics 2025-04-15 Ahmad Talafha

Flexible estimation of heterogeneous treatment effects lies at the heart of many statistical challenges, such as personalized medicine and optimal resource allocation. In this paper, we develop a general class of two-step algorithms for…

Machine Learning · Statistics 2020-08-07 Xinkun Nie , Stefan Wager

In this paper we study the problems of estimating heterogeneity in causal effects in experimental or observational studies and conducting inference about the magnitude of the differences in treatment effects across subsets of the…

Machine Learning · Statistics 2022-06-08 Susan Athey , Guido Imbens

Overlapping asymmetric datasets are common in data science and pose questions of how they can be incorporated together into a predictive analysis. In healthcare datasets there is often a small amount of information that is available for a…

Methodology · Statistics 2023-11-21 Matthew McTeer , Robin Henderson , Quentin M Anstee , Paolo Missier

Mixed-effect models are very popular for analyzing data with a hierarchical structure, e.g. repeated observations within subjects in a longitudinal design, patients nested within centers in a multicenter design. However, recently, due to…

Methodology · Statistics 2019-05-09 Abhik Ghosh , Magne Thoresen

We introduce a general framework for estimation of inverse covariance, or precision, matrices from heterogeneous populations. The proposed framework uses a Laplacian shrinkage penalty to encourage similarity among estimates from disparate,…

Machine Learning · Statistics 2016-01-05 Takumi Saegusa , Ali Shojaie

A penalized maximum likelihood estimation approach is proposed for discrete-time hidden Markov models where covariates affect the observed responses and serial dependence is considered. The proposed penalized maximum likelihood method…

Methodology · Statistics 2025-07-04 Luca Brusa , Fulvia Pennoni , Francesco Bartolucci , Romina Peruilh Bagolini