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We show how to construct the implied copula process of response values from a Bayesian additive regression tree (BART) model with prior on the leaf node variances. This copula process, defined on the covariate space, can be paired with any…

统计方法学 · 统计学 2026-01-14 Jan Martin Wenkel , Michael Stanley Smith , Nadja Klein

Epidemiological approaches for examining human health responses to environmental exposures in observational studies often control for confounding by implementing clever matching schemes and using statistical methods based on conditional…

统计方法学 · 统计学 2025-02-21 Jacob Englert , Stefanie Ebelt , Howard Chang

Causal inference is capable of estimating the treatment effect (i.e., the causal effect of treatment on the outcome) to benefit the decision making in various domains. One fundamental challenge in this research is that the treatment…

机器学习 · 计算机科学 2021-12-28 Qian Li , Zhichao Wang , Shaowu Liu , Gang Li , Guandong Xu

To draw scientifically meaningful conclusions and build reliable models of quantitative phenomena, cause and effect must be taken into consideration (either implicitly or explicitly). This is particularly challenging when the measurements…

机器学习 · 计算机科学 2020-12-11 Max A. Little , Reham Badawy

This paper introduces Type 2 Tobit Bayesian Additive Regression Trees (TOBART-2). BART can produce accurate individual-specific treatment effect estimates. However, in practice estimates are often biased by sample selection. We extend the…

计量经济学 · 经济学 2025-11-04 Eoghan O'Neill

Vector autoregression (VAR) models are widely used for forecasting and macroeconomic analysis, yet they remain limited by their reliance on a linear parameterization. Recent research has introduced nonparametric alternatives, such as…

统计方法学 · 统计学 2025-03-19 Pedro A. Lima , Carlos M. Carvalho , Hedibert F. Lopes , Andrew Herren

Gallstone disease is a complex, multifactorial condition with significant global health burdens. Identifying underlying risk factors and their interactions is crucial for early diagnosis, targeted prevention, and effective clinical…

应用统计 · 统计学 2025-06-18 Chitradipa Chakraborty , Nayana Mukherjee

Influence diagnosis is important since presence of influential observations could lead to distorted analysis and misleading interpretations. For high-dimensional data, it is particularly so, as the increased dimensionality and complexity…

统计理论 · 数学 2013-11-27 Junlong Zhao , Chenlei Leng , Lexin Li , Hansheng Wang

The identification of influential observations is an important part of data analysis that can prevent erroneous conclusions drawn from biased estimators. However, in high dimensional data, this identification is challenging. Classical and…

Models with intractable normalizing functions arise frequently in statistics. Common examples of such models include exponential random graph models for social networks and Markov point processes for ecology and disease modeling. Inference…

统计计算 · 统计学 2018-08-03 Jaewoo Park , Murali Haran

Using data collected on almost every 9-12 years old student in Uruguay, we show how to apply Bayesian Additive Regression Trees (BART) with random effects to study performance association with Learning Managment System (LMS) activity and…

应用统计 · 统计学 2025-07-09 Natalia da Silva , Bruno Tancredi , Ignacio Alvarez-Castro

Some applied researchers hesitate to use nonparametric methods, worrying that they will lose power in small samples or overfit the data when simpler models are sufficient. We argue that at least some of these concerns are unfounded when…

统计方法学 · 统计学 2026-03-16 Antonio R. Linero

Inferring the causal relationships among a set of variables in the form of a directed acyclic graph (DAG) is an important but notoriously challenging problem. Recently, advancements in high-throughput genomic perturbation screens have…

机器学习 · 计算机科学 2025-10-03 Seong Woo Han , Daniel Duy Vo , Brielin C. Brown

This paper focuses on the Bayesian Network Propensity Score (BNPS), a novel approach for estimating treatment effects in observational studies characterized by unknown (and likely unbalanced) designs and complex dependency structures among…

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

统计方法学 · 统计学 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Techniques to reduce the energy burden of an industrial ecosystem often require solving a multiobjective optimization problem. However, collecting experimental data can often be either expensive or time-consuming. In such cases, statistical…

机器学习 · 计算机科学 2021-09-07 Akira Horiguchi , Thomas J. Santner , Ying Sun , Matthew T. Pratola

This paper develops a novel stochastic tree ensemble method for nonlinear regression, which we refer to as XBART, short for Accelerated Bayesian Additive Regression Trees. By combining regularization and stochastic search strategies from…

机器学习 · 统计学 2021-06-04 Jingyu He , P. Richard Hahn

Item Response Theory (IRT) is a ubiquitous model for understanding humans based on their responses to questions, used in fields as diverse as education, medicine and psychology. Large modern datasets offer opportunities to capture more…

机器学习 · 计算机科学 2020-03-17 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

We present a new package in R implementing Bayesian additive regression trees (BART). The package introduces many new features for data analysis using BART such as variable selection, interaction detection, model diagnostic plots,…

机器学习 · 统计学 2014-11-25 Adam Kapelner , Justin Bleich

We address the problem of finding influential training samples for a particular case of tree ensemble-based models, e.g., Random Forest (RF) or Gradient Boosted Decision Trees (GBDT). A natural way of formalizing this problem is studying…

机器学习 · 计算机科学 2018-03-14 Boris Sharchilev , Yury Ustinovsky , Pavel Serdyukov , Maarten de Rijke