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Generalized linear models (GLMs) arise in high-dimensional machine learning, statistics, communications and signal processing. In this paper we analyze GLMs when the data matrix is random, as relevant in problems such as compressed sensing,…

信息论 · 计算机科学 2019-04-01 Jean Barbier , Florent Krzakala , Nicolas Macris , Léo Miolane , Lenka Zdeborová

Joint models for longitudinal and time-to-event data are widely used in many disciplines. Nonetheless, existing model comparison criteria do not indicate whether a model adequately fits the data or which components may be misspecified. We…

统计方法学 · 统计学 2026-01-27 Dimitris Rizopoulos , Jeremy M. G. Taylor , Isabella Kardys

The quality of generalized linear models (GLMs), frequently used by insurance companies, depends on the choice of interacting variables. The search for interactions is time-consuming, especially for data sets with a large number of…

机器学习 · 统计学 2025-05-21 Yevhen Havrylenko , Julia Heger

This paper develops asymptotic theory for estimation of parameters in regression models for binomial response time series where serial dependence is present through a latent process. Use of generalized linear model (GLM) estimating…

统计理论 · 数学 2016-06-06 W. T. M. Dunsmuir , J. Y. He

Accurate vehicle delay estimation is essential for evaluating the performance of signalized intersections and informing traffic management strategies. Delay reflects congestion levels and affects travel time reliability, fuel use, and…

机器学习 · 计算机科学 2025-10-03 Xiaobo Ma , Hyunsoo Noh , James Tokishi , Ryan Hatch

The standard regression tree method applied to observations within clusters poses both methodological and implementation challenges. Effectively leveraging these data requires methods that account for both individual-level and sample-level…

统计方法学 · 统计学 2025-03-05 Jeremiah Allis , Xin Jin , Riddhi Ghosh

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…

统计方法学 · 统计学 2026-03-03 Linglingzhi Zhu , Jonghyeok Lee , Yao Xie

High-dimensional logistic regression is widely used in analyzing data with binary outcomes. In this paper, global testing and large-scale multiple testing for the regression coefficients are considered in both single- and two-regression…

统计方法学 · 统计学 2020-11-23 Rong Ma , T. Tony Cai , Hongzhe Li

The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

统计方法学 · 统计学 2016-07-04 Abhik Ghosh , Ayanendranath Basu

We developed a statistical inference method applicable to a broad range of generalized linear models (GLMs) in high-dimensional settings, where the number of unknown coefficients scales proportionally with the sample size. Although a…

统计理论 · 数学 2024-05-24 Kazuma Sawaya , Yoshimasa Uematsu , Masaaki Imaizumi

The past few years have seen impressive progress in the development of deep generative models capable of producing high-dimensional, complex, and photo-realistic data. However, current methods for evaluating such models remain incomplete:…

机器学习 · 计算机科学 2024-03-14 Marco Jiralerspong , Avishek Joey Bose , Ian Gemp , Chongli Qin , Yoram Bachrach , Gauthier Gidel

We propose several generalized linear models (GLMs) to predict the number of successful cyber intrusions (or "intrusions") into an organization's computer network, where the rate at which intrusions occur is a function of the following…

密码学与安全 · 计算机科学 2019-02-07 Nandi O. Leslie , Richard E. Harang , Lawrence P. Knachel , Alexander Kott

Existing computationally efficient methods for penalized likelihood GAM fitting employ iterative smoothness selection on working linear models (or working mixed models). Such schemes fail to converge for a non-negligible proportion of…

统计方法学 · 统计学 2015-11-13 Simon N. Wood

The analysis of Fermi Large Area Telescope (LAT) gamma-ray data in a given Region Of Interest (RoI) usually consists of performing a binned log-likelihood fit in order to determine the sky model that, after convolution with the instrument…

高能天体物理现象 · 物理学 2021-12-08 P. Bruel

Urban traffic flow prediction using data-driven models can play an important role in route planning and preventing congestion on highways. These methods utilize data collected from traffic recording stations at different timestamps to…

机器学习 · 计算机科学 2022-04-22 Mehdi Mehdipour Ghazi , Amin Ramezani , Mehdi Siahi , Mostafa Mehdipour Ghazi

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

Understanding the factors contributing to traffic crashes and developing strategies to mitigate their severity is essential. Traditional statistical methods and machine learning models often struggle to capture the complex interactions…

机器学习 · 计算机科学 2025-05-16 Ahmed S. Abdelrahman , Mohamed Abdel-Aty , Samgyu Yang , Abdulrahman Faden

Crash data is often greatly imbalanced, with the majority of crashes being non-fatal crashes, and only a small number being fatal crashes due to their rarity. Such data imbalance issue poses a challenge for crash severity modeling since it…

机器学习 · 计算机科学 2024-04-04 Junlan Chen , Ziyuan Pu , Nan Zheng , Xiao Wen , Hongliang Ding , Xiucheng Guo

Functional linear models are one of the most fundamental tools to assess the relation between two random variables of a functional or scalar nature. This contribution proposes a goodness-of-fit test for the functional linear model with…

This study explores the hypothesis that an analytically derived estimate of the required driver reaction time for asymptotic stability, based on the macroscopic Gazis, Herman, and Rothery (GHR) model, can serve as an effective indicator of…

物理与社会 · 物理学 2020-04-27 Ishtiak Ahmed , Billy Williams , M. Shoaib Samandar , Gyounghoon Chun