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Poisson regression is a popular tool for modeling count data and is applied in a vast array of applications from the social to the physical sciences and beyond. Real data, however, are often over- or under-dispersed and, thus, not conducive…

应用统计 · 统计学 2010-11-10 Kimberly F. Sellers , Galit Shmueli

Normative modeling has recently been introduced as a promising approach for modeling variation of neuroimaging measures across individuals in order to derive biomarkers of psychiatric disorders. Current implementations rely on Gaussian…

机器学习 · 统计学 2019-04-16 Seyed Mostafa Kia , Andre F. Marquand

Modern high-throughput biomedical devices routinely produce data on a large scale, and the analysis of high-dimensional datasets has become commonplace in biomedical studies. However, given thousands or tens of thousands of measured…

统计方法学 · 统计学 2022-02-28 Vladimir Vutov , Thorsten Dickhaus

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

统计方法学 · 统计学 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

By applying Sklar's theorem to the Multivariate Bernoulli Distribution (MBD), this paper proposes a framework to decouple marginal distributions from the dependence structure, clarifying interactions among binary variables. Explicit…

统计方法学 · 统计学 2025-09-16 Arturo Erdely

In contrastive self-supervised learning, positive samples are typically drawn from the same image but in different augmented views, resulting in a relatively limited source of positive samples. An effective way to alleviate this problem is…

计算机视觉与模式识别 · 计算机科学 2023-11-14 Xianzhong Long , Chen Peng , Yun Li

Pairwise network models such as the Gaussian Graphical Model (GGM) are a powerful and intuitive way to analyze dependencies in multivariate data. A key assumption of the GGM is that each pairwise interaction is independent of the values of…

统计方法学 · 统计学 2020-02-14 Jonas Haslbeck , Denny Borsboom , Lourens Waldorp

By developing data augmentation methods unique to the negative binomial (NB) distribution, we unite seemingly disjoint count and mixture models under the NB process framework. We develop fundamental properties of the models and derive…

机器学习 · 统计学 2013-02-18 Mingyuan Zhou , Lawrence Carin

We propose a Bayesian nonparametric (BNP) approach to causal inference using observational data consisting of outcome, treatment, and a set of confounders. The conditional distribution of the outcome given treatment and confounders is…

统计方法学 · 统计学 2025-12-01 Yongseok Hur , Joonhyuk Jung , Juhee Lee

This paper presents a high-level description of the R software package mixdistreg to fit mixture of experts distributional regression models. The proposed framework is implemented in R using the deepregression software template, which is…

统计计算 · 统计学 2023-02-07 David Rügamer

Mixed Integer Linear Programming (MILP) is a fundamental tool for modeling combinatorial optimization problems. Recently, a growing body of research has used machine learning to accelerate MILP solving. Despite the increasing popularity of…

机器学习 · 计算机科学 2024-10-29 Weimin Huang , Taoan Huang , Aaron M Ferber , Bistra Dilkina

Generalized linear models usually assume a common dispersion parameter, an assumption that is seldom true in practice. Consequently, standard parametric methods may suffer appreciable loss of type I error control. As an alternative, we…

统计方法学 · 统计学 2024-09-16 Riccardo De Santis , Jelle J. Goeman , Jesse Hemerik , Samuel Davenport , Livio Finos

In classification problems, the datasets are usually imbalanced, noisy or complex. Most sampling algorithms only make some improvements to the linear sampling mechanism of the synthetic minority oversampling technique (SMOTE). Nevertheless,…

机器学习 · 统计学 2023-07-06 Min Li , Hao Zhou , Qun Liu , Yabin Shao , Guoying Wang

Count endpoints are common in clinical trials, particularly for recurrent events such as hypoglycemia. When interest centers on comparing overall event rates between treatment groups, negative binomial (NB) regression is widely used because…

统计方法学 · 统计学 2026-01-27 Jiren Sun , Linda Amoafo , Yongming Qu

This paper considers M-estimation of a nonlinear regression model with multiple change-points occuring at unknown times. The multi-phase random design regression model, discontinuous in each change-point, have an arbitrary error $\epsilon$.…

统计理论 · 数学 2008-09-22 Gabriela Ciuperca

This work presents a guide for the use of some of the functions of the multiColl package in R for the detection of near-multicollinearity. The main contribution, in comparison to other existing packages in R or other econometric software,…

统计计算 · 统计学 2021-07-08 R. Salmerón , C. B. García , J. García

Bayesian nonparametric (BNP) models provide elegant methods for discovering underlying latent features within a data set, but inference in such models can be slow. We exploit the fact that completely random measures, which commonly used…

机器学习 · 统计学 2020-07-17 Avinava Dubey , Michael Minyi Zhang , Eric P. Xing , Sinead A. Williamson

We consider the problem of learning a sparse graph underlying an undirected Gaussian graphical model, a key problem in statistical machine learning. Given $n$ samples from a multivariate Gaussian distribution with $p$ variables, the goal is…

机器学习 · 计算机科学 2026-04-07 Kayhan Behdin , Wenyu Chen , Rahul Mazumder

High-dimensional data of discrete and skewed nature is commonly encountered in high-throughput sequencing studies. Analyzing the network itself or the interplay between genes in this type of data continues to present many challenges. As…

统计方法学 · 统计学 2017-12-01 Anjali Silva , Steven J. Rothstein , Paul D. McNicholas , Sanjeena Subedi

Univariate and multivariate normal probability distributions are widely used when modeling decisions under uncertainty. Computing the performance of such models requires integrating these distributions over specific domains, which can vary…

机器学习 · 统计学 2024-07-31 Abhranil Das , Wilson S Geisler