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Finite mixture distributions arise in sampling a heterogeneous population. Data drawn from such a population will exhibit extra variability relative to any single subpopulation. Statistical models based on finite mixtures can assist in the…

Methodology · Statistics 2024-01-19 Andrew M. Raim , Nagaraj K. Neerchal , Jorge G. Morel

We consider the analysis of continuous repeated measurement outcomes that are collected through time, also known as longitudinal data. A standard framework for analysing data of this kind is a linear Gaussian mixed-effects model within…

Methodology · Statistics 2018-04-10 Özgür Asar , David Bolin , Peter J. Diggle , Jonas Wallin

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

Applications · Statistics 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

In this paper we study estimating Generalized Linear Models (GLMs) in the case where the agents (individuals) are strategic or self-interested and they concern about their privacy when reporting data. Compared with the classical setting,…

Machine Learning · Computer Science 2022-09-19 Yuan Qiu , Jinyan Liu , Di Wang

Two popular approaches for relating correlated measurements of a non-Gaussian response variable to a set of predictors are to fit a marginal model using generalized estimating equations and to fit a generalized linear mixed model by…

Methodology · Statistics 2017-02-23 Jeffrey J. Gory , Peter F. Craigmile , Steven N. MacEachern

Combining data from varied sources has considerable potential for knowledge discovery: collaborating data parties can mine data in an expanded feature space, allowing them to explore a larger range of scientific questions. However, data…

Machine Learning · Computer Science 2019-11-11 Erik-Jan van Kesteren , Chang Sun , Daniel L. Oberski , Michel Dumontier , Lianne Ippel

In multi-center clinical research, privacy regulations often prohibit pooling individual-level records, complicating the analysis of time-to-event data. Current federated survival methods frequently require iterative communication or rely…

Applications · Statistics 2026-03-12 Hyojung Jang , Malcolm Risk , Yaojie Wang , Norrina Bai Allen , Xu Shi , Lili Zhao

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

Methodology · Statistics 2020-05-20 Li-Chun Zhang

Generalized linear models (GLMs) such as logistic regression are among the most widely used arms in data analyst's repertoire and often used on sensitive datasets. A large body of prior works that investigate GLMs under differential privacy…

Machine Learning · Computer Science 2021-05-13 Tejas Kulkarni , Joonas Jälkö , Antti Koskela , Samuel Kaski , Antti Honkela

Linear models are used in online decision making, such as in machine learning, policy algorithms, and experimentation platforms. Many engineering systems that use linear models achieve computational efficiency through distributed systems…

Machine Learning · Computer Science 2021-03-04 Jeffrey Wong , Eskil Forsell , Randall Lewis , Tobias Mao , Matthew Wardrop

This paper proposes an analysis methodology for the case where there is longitudinal data with destructive sampling of observational units, which come from experimental units that are measured at all times of the analysis. A mixed linear…

Methodology · Statistics 2024-11-26 C. A. Avellaneda , O. O. Melo , N. A. Cruz

In this manuscript a unified framework for conducting inference on complex aggregated data in high dimensional settings is proposed. The data are assumed to be a collection of multiple non-Gaussian realizations with underlying undirected…

Applications · Statistics 2013-10-14 Fang Han , Han Liu , Brian Caffo

Motivated by two distinct types of biomedical time series data, digital health monitoring and neuroimaging, we develop a novel approach for changepoint analysis that uses a generalised linear mixed model framework. The generalised linear…

Methodology · Statistics 2024-10-02 Mark B. Fiecas , Kathryn R. Cullen , Rebecca Killick

Researchers are often interested in understanding the relationship between a set of covariates and a set of response variables. To achieve this goal, the use of regression analysis, either linear or generalized linear models, is largely…

Simulation studies are commonly used to evaluate the performance of newly developed meta-analysis methods. For methodology that is developed for an aggregated data meta-analysis, researchers often resort to simulation of the aggregated data…

Applications · Statistics 2022-01-19 Edwin R. van den Heuvel , Osama Almalik , Zhuozhao Zhan

As datasets grow larger, they are often distributed across multiple machines that compute in parallel and communicate with a central machine through short messages. In this paper, we focus on sparse regression and propose a new procedure…

Methodology · Statistics 2023-03-14 Sifan Liu , Snigdha Panigrahi

A common approach of system identification and machine learning is to generate a model by using training data to predict the test data instances as accurate as possible. Nonetheless, concerns about data privacy are increasingly raised, but…

Machine Learning · Computer Science 2023-04-18 Jaron Skovsted Gundersen , Bulut Kuskonmaz , Rafael Wisniewski

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

Methodology · Statistics 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

Linear mixed-effects models are a central analytical tool for modeling hierarchical and longitudinal data, as they allow simultaneous representation of fixed and random sources of variation. In practice, inference for such models is most…

Methodology · Statistics 2026-02-12 Hilde Vinje , Lars Erik Gangsei

We devise a one-shot approach to distributed sparse regression in the high-dimensional setting. The key idea is to average "debiased" or "desparsified" lasso estimators. We show the approach converges at the same rate as the lasso as long…

Machine Learning · Statistics 2015-08-12 Jason D. Lee , Yuekai Sun , Qiang Liu , Jonathan E. Taylor