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Low-rank matrix approximation is one of the central concepts in machine learning, with applications in dimension reduction, de-noising, multivariate statistical methodology, and many more. A recent extension to LRMA is called low-rank…

机器学习 · 统计学 2021-09-24 Elena Tuzhilina , Trevor Hastie

Generalized linear mixed models (GLMM) are commonly used to analyze clustered data, but when the number of clusters is small to moderate, standard statistical tests may produce elevated type I error rates. Small-sample corrections have been…

统计方法学 · 统计学 2023-11-07 Hongxiang Qiu , Andrea J. Cook , Jennifer F. Bobb

Many applications of generalised linear models (GLMs) can be improved by applying constraints that impose assumptions on the associations or improve consistency of the estimators. Yet, there are still barriers to the implementation and…

统计方法学 · 统计学 2026-02-19 Pierre Masselot , Devon Nenon , Jacopo Vanoli , Zaid Chalabi , Antonio Gasparrini

Linear mixed models (LMMs) are used as an important tool in the data analysis of repeated measures and longitudinal studies. The most common form of LMMs utilize a normal distribution to model the random effects. Such assumptions can often…

统计方法学 · 统计学 2016-02-16 Hien D. Nguyen , Geoffrey J. McLachlan

Large Language Models (LLMs) are increasingly adopted for complex scientific text generation tasks, yet they often suffer from limitations in accuracy, consistency, and hallucination control. This thesis introduces a Parameter-Efficient…

计算与语言 · 计算机科学 2024-11-12 Daniil Sulimov

Multimodal large language models (MLLMs) represent an evolutionary expansion in the capabilities of traditional large language models, enabling them to tackle challenges that surpass the scope of purely text-based applications. It leverages…

计算与语言 · 计算机科学 2025-01-17 Jinlong He , Pengfei Li , Gang Liu , Genrong He , Zhaolin Chen , Shenjun Zhong

Generalized linear mixed models (GLMM) are used for inference and prediction in a wide range of different applications providing a powerful scientific tool. An increasing number of sources of data are becoming available, introducing a…

统计计算 · 统计学 2019-03-19 Aliaksandr Hubin , Geir Storvik

High-dimensional phenotypes hold promise for richer findings in association studies, but testing of several phenotype traits aggravates the grand challenge of association studies, that of multiple testing. Several methods have recently been…

统计方法学 · 统计学 2013-05-14 Pekka Marttinen , Jussi Gillberg , Aki Havulinna , Jukka Corander , Samuel Kaski

High-throughput pheno-, geno-, and envirotyping allows characterization of plant genotypes and the trials they are evaluated in, producing different types of data. These different data modalities can be integrated into statistical or…

Gaussian process latent variable models (GPLVMs) are a versatile family of unsupervised learning models commonly used for dimensionality reduction. However, common challenges in modeling data with GPLVMs include inadequate kernel…

机器学习 · 统计学 2024-06-19 Ying Li , Zhidi Lin , Feng Yin , Michael Minyi Zhang

Objectives: This paper develops two algorithms to achieve federated generalized linear mixed effect models (GLMM), and compares the developed model's outcomes with each other, as well as that from the standard R package (`lme4'). Methods:…

机器学习 · 统计学 2022-06-09 Wentao Li , Jiayi Tong , Md. Monowar Anjum , Noman Mohammed , Yong Chen , Xiaoqian Jiang

Correlation among the observations in high-dimensional regression modeling can be a major source of confounding. We present a new open-source package, plmmr, to implement penalized linear mixed models in R. This R package estimates…

统计计算 · 统计学 2026-05-13 Tabitha K. Peter , Anna C. Reisetter , Yujing Lu , Oscar A. Rysavy , Patrick J. Breheny

Multivariate random effects with unstructured variance-covariance matrices of large dimensions, $q$, can be a major challenge to estimate. In this paper, we introduce a new implementation of a reduced-rank approach to fit large dimensional…

统计方法学 · 统计学 2024-11-08 Maeve McGillycuddy , Gordana Popovic , Benjamin M. Bolker , David I. Warton

We derive an asymptotic expansion for the log likelihood of Gaussian mixture models (GMMs) with equal covariance matrices in the low signal-to-noise regime. The expansion reveals an intimate connection between two types of algorithms for…

统计理论 · 数学 2020-06-30 Anya Katsevich , Afonso Bandeira

This paper addresses the path-planning challenge for very large-scale robotic systems (VLSR) operating in complex and cluttered environments. VLSR systems consist of numerous cooperative agents or robots working together autonomously.…

多智能体系统 · 计算机科学 2024-02-20 Pingping Zhu , Chang Liu , Peter Estephan

Meta-analytical models are typically formulated as a mixed-effects model where the sampling variances of the effect sizes are treated as known. In principle, such models could be fitted with standard mixed-modelling software such as the…

A genome-wide association study (GWAS) correlates marker variation with trait variation in a sample of individuals. Each study subject is genotyped at a multitude of SNPs (single nucleotide polymorphisms) spanning the genome. Here we assume…

机器学习 · 统计学 2019-01-14 Kevin L. Keys , Gary K. Chen , Kenneth Lange

Machine learning techniques offer a precious tool box for use within astronomy to solve problems involving so-called big data. They provide a means to make accurate predictions about a particular system without prior knowledge of the…

天体物理仪器与方法 · 物理学 2019-01-01 J. Elliott , R. S. de Souza , A. Krone-Martins , E. Cameron , E. E. O. Ishida , J. Hilbe

Large pre-trained language models (LLMs) have been shown to have significant potential in few-shot learning across various fields, even with minimal training data. However, their ability to generalize to unseen tasks in more complex fields,…

计算与语言 · 计算机科学 2023-04-24 Tianhao Li , Sandesh Shetty , Advaith Kamath , Ajay Jaiswal , Xianqian Jiang , Ying Ding , Yejin Kim

This paper presents a novel method for utilizing fine-tuned Large Language Models (LLMs) to minimize data requirements in load profile analysis, demonstrated through the restoration of missing data in power system load profiles. A two-stage…

机器学习 · 计算机科学 2024-06-05 Yi Hu , Hyeonjin Kim , Kai Ye , Ning Lu