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Generalized linear models (GLMs) are routinely used for modeling relationships between a response variable and a set of covariates. The simple form of a GLM comes with easy interpretability, but also leads to concerns about model…

统计方法学 · 统计学 2023-11-10 Davide Agnoletto , Tommaso Rigon , David B. Dunson

Longitudinal datasets measured repeatedly over time from individual subjects, arise in many biomedical, psychological, social, and other studies. A common approach to analyse high-dimensional data that contains missing values is to learn a…

Principal Component Analysis (PCA) is a widely used technique in exploratory data analysis, visualization, and data preprocessing, leveraging the concept of variance to identify key dimensions in datasets. In this study, we focus on the…

应用统计 · 统计学 2024-07-03 Reza Dastranj , Martin Kolar

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

Consider the problem of estimating a weighted average of the means of $n$ strata, based on a random sample with realized $K_i$ observations from stratum $i, \; i=1,...,n$. This task is non-trivial in cases where for a significant portion of…

统计理论 · 数学 2019-11-21 Eitan Greenshtein , Ya'acov Ritov

Consider one realization of a continuous-time Gaussian process $Z$ which belongs to the Mat\' ern family with known ``regularity'' index $\nu >0$. For estimating the autocorrelation-range and the variance of $Z$ from $n$ observations on a…

统计理论 · 数学 2019-06-25 Didier A. Girard

Regression models are popular tools in empirical sciences to infer the influence of a set of variables onto a dependent variable given an experimental dataset. In neuroscience and cognitive psychology, Generalized Linear Models (GLMs)…

应用统计 · 统计学 2020-02-04 Vincent Adam , Alexandre Hyafil

We reinterpreting the variational inference in a new perspective. Via this way, we can easily prove that EM algorithm, VAE, GAN, AAE, ALI(BiGAN) are all special cases of variational inference. The proof also reveals the loss of standard GAN…

机器学习 · 计算机科学 2018-07-23 Jianlin Su

We propose generalized random forests, a method for non-parametric statistical estimation based on random forests (Breiman, 2001) that can be used to fit any quantity of interest identified as the solution to a set of local moment…

统计方法学 · 统计学 2018-04-06 Susan Athey , Julie Tibshirani , Stefan Wager

Projection predictive inference is a decision theoretic Bayesian approach that decouples model estimation from decision making. Given a reference model previously built including all variables present in the data, projection predictive…

统计方法学 · 统计学 2020-10-15 Alejandro Catalina , Paul-Christian Bürkner , Aki Vehtari

A SAS macro, GEECORR, has been developed for the analysis of correlated binary data based on the Prentice (1988) estimating equations method that extends the Liang and Zeger (1986) generalized estimating equations (GEE) method to include…

统计计算 · 统计学 2020-11-24 Tracie L. Shing , John S. Preisser , Richard C. Zink

In this manuscript, we investigate the concept of the mean response for a treatment group mean as well as its estimation and prediction for generalized linear models with a subject-wise random effect. Generalized linear models are commonly…

应用统计 · 统计学 2019-11-05 Jiexin Duan , Michael Levine , Junxiang Luo , Yongming Qu

Clustered and longitudinal data are pervasive in scientific studies, from prenatal health programs to clinical trials and public health surveillance. Such data often involve non-Gaussian responses--including binary, categorical, and count…

统计方法学 · 统计学 2025-09-19 Yibo Wang , Chenlei Leng , Cheng Yong Tang

Ensemble methods are widely employed to improve generalization in machine learning. This has also prompted the adoption of ensemble learning for the knowledge graph embedding (KGE) models in performing link prediction. Typical approaches to…

机器学习 · 计算机科学 2025-10-30 Rupesh Sapkota , Caglar Demir , Arnab Sharma , Axel-Cyrille Ngonga Ngomo

Recent embedding-based methods have achieved great successes in exploiting entity alignment from knowledge graph (KG) embeddings of multiple modalities. In this paper, we study embedding-based entity alignment (EEA) from a perspective of…

计算与语言 · 计算机科学 2024-02-27 Lingbing Guo , Zhuo Chen , Jiaoyan Chen , Yin Fang , Wen Zhang , Huajun Chen

We develop a new approach for estimating average treatment effects in observational studies with unobserved group-level heterogeneity. We consider a general model with group-level unconfoundedness and provide conditions under which…

计量经济学 · 经济学 2023-08-31 Dmitry Arkhangelsky , Guido Imbens

Mixture-of-Experts (MoE) is a flexible framework that combines multiple specialized submodels (``experts''), by assigning covariate-dependent weights (``gating functions'') to each expert, and have been commonly used for analyzing…

统计方法学 · 统计学 2026-01-06 Qicheng Zhao , Celia M. T. Greenwood , Qihuang Zhang

The article develops a hybrid Variational Bayes algorithm that combines the mean-field and fixed-form Variational Bayes methods. The new estimation algorithm can be used to approximate any posterior without relying on conjugate priors. We…

统计方法学 · 统计学 2013-08-09 David J Nott , Minh-Ngoc Tran , Anthony Y. C. Kuk , Robert Kohn

Regression is typically treated as a curve-fitting process where the goal is to fit a prediction function to data. With the help of conditional generative adversarial networks, we propose to solve this age-old problem in a different way; we…

机器学习 · 计算机科学 2024-04-23 Deddy Jobson , Eddy Hudson

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…

统计方法学 · 统计学 2020-05-20 Li-Chun Zhang