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Generalized linear mixed models (GLMMs) are widely used in research for their ability to model correlated outcomes with non-Gaussian conditional distributions. The proper selection of fixed and random effects is a critical part of the…

Computation · Statistics 2024-04-18 Hillary M. Heiling , Naim U. Rashid , Quefeng Li , Joseph G. Ibrahim

The enormous parameter scale of large language models (LLMs) has made model compression a research hotspot, which aims to alleviate computational resource demands during deployment and inference. As a promising direction, low-rank…

Machine Learning · Computer Science 2025-07-08 Guangyan Li , Yongqiang Tang , Wensheng Zhang

The composite likelihood (CL) is amongst the computational methods used for estimation of the generalized linear mixed model (GLMM) in the context of bivariate meta-analysis of diagnostic test accuracy studies. Its advantage is that the…

Methodology · Statistics 2018-07-12 Aristidis K. Nikoloulopoulos

This paper introduces a method for studying the correlation structure of a range of responses modelled by a multivariate generalised linear mixed model (MGLMM). The methodology requires the existence of clusters of observations and that…

Methodology · Statistics 2021-08-02 Jeanett S. Pelck , Rodrigo Labouriau

For the vast majority of genome wide association studies (GWAS) published so far, statistical analysis was performed by testing markers individually. In this article we present some elementary statistical considerations which clearly show…

Applications · Statistics 2010-10-04 Florian Frommlet , Felix Ruhaltinger , Piotr Twarog , Malgorzata Bogdan

Since most analysis software for genome-wide association studies (GWAS) currently exploit only unrelated individuals, there is a need for efficient applications that can handle general pedigree data or mixtures of both population and…

Applications · Statistics 2014-12-23 Hua Zhou , John Blangero , Thomas D. Dyer , Kei-hang K. Chan , Kenneth Lange , Eric M. Sobel

The applications of large language models (LLMs) are promising for biomedical and healthcare research. Despite the availability of open-source LLMs trained using a wide range of biomedical data, current research on the applications of LLMs…

Machine Learning · Computer Science 2024-09-25 Tianyu Liu , Yijia Xiao , Xiao Luo , Hua Xu , W. Jim Zheng , Hongyu Zhao

We describe the \proglang{R} package \pkg{glmmrBase} and an extension \pkg{glmmrOptim}. \pkg{glmmrBase} provides a flexible approach to specifying, fitting, and analysing generalised linear mixed models. We use an object-orientated class…

Computation · Statistics 2024-03-15 Samuel I. Watson

Large language models (LLMs) constitute a breakthrough state-of-the-art Artificial Intelligence technology which is rapidly evolving and promises to aid in medical diagnosis. However, the correctness and the accuracy of their returns has…

Computation and Language · Computer Science 2024-02-07 Dimitrios P. Panagoulias , Maria Virvou , George A. Tsihrintzis

To overcome the computational bottleneck of various data perturbation procedures such as the bootstrap and cross validations, we propose the Generative Multiple-purpose Sampler (GMS), which constructs a generator function to produce…

Methodology · Statistics 2023-10-18 Minsuk Shin , Shijie Wang , Jun S Liu

In this paper, we propose an efficient optimal joint channel estimation and data detection algorithm for massive MIMO wireless systems. Our algorithm is optimal in terms of the generalized likelihood ratio test (GLRT). For massive MIMO…

Information Theory · Computer Science 2016-03-09 Haider Ali Jasim Alshamary , Weiyu Xu

Monte Carlo maximum likelihood (MCML) provides an elegant approach to find maximum likelihood estimators (MLEs) for latent variable models. However, MCML algorithms are computationally expensive when the latent variables are…

Computation · Statistics 2020-08-05 Jaewoo Park , Murali Haran

Due to the ease of modern data collection, applied statisticians often have access to a large set of covariates that they wish to relate to some observed outcome. Generalized linear models (GLMs) offer a particularly interpretable framework…

Computation · Statistics 2019-05-21 Brian L. Trippe , Jonathan H. Huggins , Raj Agrawal , Tamara Broderick

Text-rich graphs, which exhibit rich textual information on nodes and edges, are prevalent across a wide range of real-world business applications. Large Language Models (LLMs) have demonstrated remarkable abilities in understanding text,…

Computation and Language · Computer Science 2024-04-30 Qi Zhu , Da Zheng , Xiang Song , Shichang Zhang , Bowen Jin , Yizhou Sun , George Karypis

Structural matrix-variate observations routinely arise in diverse fields such as multi-layer network analysis and brain image clustering. While data of this type have been extensively investigated with fruitful outcomes being delivered, the…

Statistics Theory · Mathematics 2022-01-25 Zhongyuan Lyu , Dong Xia

Generalized linear models (GLMs) are fundamental tools for statistical modeling, with maximum likelihood estimation (MLE) serving as the classical approach for parameter inference. While MLE performs well for canonical GLMs, it can become…

Methodology · Statistics 2026-03-03 Linglingzhi Zhu , Jonghyeok Lee , Yao Xie

We consider the problem of efficiently computing the maximum likelihood estimator in Generalized Linear Models (GLMs) when the number of observations is much larger than the number of coefficients ($n \gg p \gg 1$). In this regime,…

Machine Learning · Statistics 2015-12-01 Murat A. Erdogdu

Permutation methods are commonly used to test significance of regressors of interest in general linear models (GLMs) for functional (image) data sets, in particular for neuroimaging applications as they rely on mild assumptions. Permutation…

Methodology · Statistics 2021-11-23 Tomas Mrkvicka , Mari Myllymaki , Mikko Kuronen , Naveen Naidu Narisetty

The generalized persistence (GP) model, developed in the context of estimating ``value added'' by individual teachers to their students' current and future test scores, is one of the most flexible value-added models in the literature.…

Applications · Statistics 2014-04-01 Andrew T. Karl , Yan Yang , Sharon L. Lohr

High-dimensional longitudinal data is increasingly used in a wide range of scientific studies. To properly account for dependence between longitudinal observations, statistical methods for high-dimensional linear mixed models (LMMs) have…

Methodology · Statistics 2024-07-10 Anja Zgodic , Ray Bai , Jiajia Zhang , Peter Olejua , Alexander C. McLain