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Mixed-effects regression models represent a useful subclass of regression models for grouped data; the introduction of random effects allows for the correlation between observations within each group to be conveniently captured when…

统计方法学 · 统计学 2024-09-25 Jackson Zhou , John T. Ormerod , Clara Grazian

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

Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

统计理论 · 数学 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu

This paper proposes a Vector Autoregression augmented with nonlinear factors that are modeled nonparametrically using regression trees. There are four main advantages of our model. First, modeling potential nonlinearities nonparametrically…

计量经济学 · 经济学 2025-08-20 Todd Clark , Florian Huber , Gary Koop

Items in modern recommender systems are often organized in hierarchical structures. These hierarchical structures and the data within them provide valuable information for building personalized recommendation systems. In this paper, we…

机器学习 · 计算机科学 2019-08-21 Zitao Liu , Zhexuan Xu , Yan Yan

Tree structured graphical models are powerful at expressing long range or hierarchical dependency among many variables, and have been widely applied in different areas of computer science and statistics. However, existing methods for…

机器学习 · 统计学 2014-01-17 Le Song , Han Liu , Ankur Parikh , Eric Xing

We introduce Hyper-Trees as a novel framework for modeling time series data using gradient boosted trees. Unlike conventional tree-based approaches that forecast time series directly, Hyper-Trees learn the parameters of a target time series…

机器学习 · 计算机科学 2026-02-09 Alexander März , Kashif Rasul

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

统计方法学 · 统计学 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox

As data collections become larger, exploratory regression analysis becomes more important but more challenging. When observations are hierarchically clustered the problem is even more challenging because model selection with mixed effect…

机器学习 · 统计学 2017-02-15 Patrick J. Miller , Daniel B. McArtor , Gitta H. Lubke

The Tree Augmented Naive Bayes (TAN) classifier is a type of probabilistic graphical model that constructs a single-parent dependency tree to estimate the distribution of the data. In this work, we propose two novel Hierarchical…

机器学习 · 计算机科学 2022-02-10 Cen Wan , Alex A. Freitas

In longitudinal observational studies with time-to-event outcomes, a common objective in causal analysis is to estimate the causal survival curve under hypothetical intervention scenarios. The g-formula is a useful tool for this analysis.…

统计方法学 · 统计学 2025-04-14 Xinyuan Chen , Liangyuan Hu , Fan Li

This paper promotes the use of random forests as versatile tools for estimating spatially disaggregated indicators in the presence of small area-specific sample sizes. Small area estimators are predominantly conceptualized within the…

统计方法学 · 统计学 2025-06-19 Patrick Krennmair , Timo Schmid

Non-linear hierarchical models are commonly used in many disciplines. However, inference in the presence of non-nested effects and on large datasets is challenging and computationally burdensome. This paper provides two contributions to…

统计方法学 · 统计学 2021-10-22 Max Goplerud

The Hierarchical Redundancy Eliminated Tree Augmented Naive Bayes (HRE-TAN) classifier is a semi-naive Bayesian model that learns a type of hierarchical redundancy-free tree-like feature representation to estimate the data distribution. In…

机器学习 · 计算机科学 2022-04-13 Cen Wan

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

统计方法学 · 统计学 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

The presence of unobserved node specific heterogeneity in Exponential Random Graph Models (ERGM) is a general concern, both with respect to model validity as well as estimation instability. We therefore extend the ERGM by including node…

统计计算 · 统计学 2021-12-24 Sevag Kevork , Göran Kauermann

Cluster-randomized trials (CRTs) are widely used to evaluate interventions delivered at the clinic, practice, or community level. Although standard analyses typically target average treatment effects, such summaries mask potentially…

统计方法学 · 统计学 2026-04-16 Changjun Li , Xi Fang , Michael O. Harhay , Andrew B. Forbes , F. Perry Wilson , Guangyu Tong , Fan Li

When random effects are correlated with sample design variables, the usual approach of employing individual survey weights (constructed to be inversely proportional to the unit survey inclusion probabilities) to form a pseudo-likelihood no…

统计方法学 · 统计学 2021-08-26 Terrance D. Savitsky , Matthew R. Williams

Regression for spatially dependent outcomes poses many challenges, for inference and for computation. Non-spatial models and traditional spatial mixed-effects models each have their advantages and disadvantages, making it difficult for…

统计方法学 · 统计学 2017-08-02 John Hughes

Datasets from field experiments with covariate-adaptive randomizations (CARs) usually contain extra covariates in addition to the strata indicators. We propose to incorporate these additional covariates via auxiliary regressions in the…

计量经济学 · 经济学 2022-09-07 Liang Jiang , Peter C. B. Phillips , Yubo Tao , Yichong Zhang