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Although regression trees were originally designed for large datasets, they can profitably be used on small datasets as well, including those from replicated or unreplicated complete factorial experiments. We show that in the latter…

Statistics Theory · Mathematics 2007-06-13 Wei-Yin Loh

We propose a fully Bayesian approach for causal inference with multivariate categorical data based on staged tree models, a class of probabilistic graphical models capable of representing asymmetric and context-specific dependencies. To…

Methodology · Statistics 2025-11-06 Andrea Cremaschi , Manuele Leonelli , Gherardo Varando

The preponderance of large-scale healthcare databases provide abundant opportunities for comparative effectiveness research. Evidence necessary to making informed treatment decisions often relies on comparing effectiveness of multiple…

Methodology · Statistics 2020-10-06 Liangyuan Hu , Chenyang Gu

Recent methodological developments have introduced new black-box approaches to better estimate heterogeneous treatment effects; however, these methods fall short of providing interpretable characterizations of the underlying individuals who…

Methodology · Statistics 2025-08-19 Melody Huang , Tiffany M. Tang , Ana M. Kenney

There is a dearth of robust methods to estimate the causal effects of multiple treatments when the outcome is binary. This paper uses two unique sets of simulations to propose and evaluate the use of Bayesian Additive Regression Trees…

Methodology · Statistics 2020-01-22 Liangyuan Hu , Chenyang Gu , Michael Lopez , Jiayi Ji , Juan Wisnivesky

In this paper we present a data-adaptive estimation procedure for estimation of average treatment effects in a time-to-event setting based on generalized random forests. In these kinds of settings, the definition of causal effect parameters…

Methodology · Statistics 2021-04-28 Helene C. W. Rytgaard , Claus T. Ekstrøm , Lars V. Kessing , Thomas A. Gerds

The inclusion of the propensity score as a covariate in Bayesian regression trees for causal inference can reduce the bias in treatment effect estimations, which occurs due to the regularization-induced confounding phenomenon. This study…

Methodology · Statistics 2018-08-30 Pedro Henrique Filipini dos Santos , Hedibert Freitas Lopes

Estimating the Individual Treatment Effect from observational data, defined as the difference between outcomes with and without treatment or intervention, while observing just one of both, is a challenging problems in causal learning. In…

Machine Learning · Computer Science 2020-05-07 Céline Beji , Michaël Bon , Florian Yger , Jamal Atif

Estimating heterogeneous treatment effect (HTE) for survival outcomes has gained increasing attention, as it captures the variation in treatment efficacy across patients or subgroups in delaying disease progression. However, most existing…

Methodology · Statistics 2025-11-27 Na Bo , Ying Ding

Estimating heterogeneous treatment effects is critical in domains such as personalized medicine, resource allocation, and policy evaluation. A central challenge lies in identifying subpopulations that respond differently to interventions,…

Machine Learning · Statistics 2025-09-18 Zilong Wang , Turgay Ayer , Shihao Yang

Estimating how a treatment affects units individually, known as heterogeneous treatment effect (HTE) estimation, is an essential part of decision-making and policy implementation. The accumulation of large amounts of data in many domains,…

Machine Learning · Computer Science 2022-06-28 Christopher Tran , Elena Zheleva

We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing…

Machine Learning · Statistics 2020-11-03 Edoardo Belli , Simone Vantini

For many kinds of interventions, such as a new advertisement, marketing intervention, or feature recommendation, it is important to target a specific subset of people for maximizing its benefits at minimum cost or potential harm. However, a…

Methodology · Statistics 2020-11-12 Yanbo Xu , Divyat Mahajan , Liz Manrao , Amit Sharma , Emre Kiciman

This paper describes techniques for growing classification and regression trees designed to induce visually interpretable trees. This is achieved by penalizing splits that extend the subset of features used in a particular branch of the…

Methodology · Statistics 2013-10-22 Alex Goldstein , Andreas Buja

Our aging population increasingly suffers from multiple chronic diseases simultaneously, necessitating the comprehensive treatment of these conditions. Finding the optimal set of drugs for a combinatorial set of diseases is a combinatorial…

Artificial Intelligence · Computer Science 2016-11-16 Pranjul Yadav , Lisiane Prunelli , Alexander Hoff , Michael Steinbach , Bonnie Westra , Vipin Kumar , Gyorgy Simon

Methods for estimating heterogeneous treatment effect in observational data have largely focused on continuous or binary outcomes, and have been relatively less vetted with survival outcomes. Using flexible machine learning methods in the…

Applications · Statistics 2021-07-09 Liangyuan Hu , Jiayi Ji , Fan Li

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

Machine Learning · Computer Science 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

Inferring cause-effect relationships from observational data has gained significant attention in recent years, but most methods are limited to scalar random variables. In many important domains, including neuroscience, psychology, social…

Machine Learning · Statistics 2025-06-06 Konstantin Göbler , Tobias Windisch , Mathias Drton

In modern drug development, the broader availability of high-dimensional observational data provides opportunities for scientist to explore subgroup heterogeneity, especially when randomized clinical trials are unavailable due to cost and…

Methodology · Statistics 2021-02-24 Xinzhou Guo , Linqing Wei , Chong Wu , Jingshen Wang

Classification and Regression Trees (CARTs) are off-the-shelf techniques in modern Statistics and Machine Learning. CARTs are traditionally built by means of a greedy procedure, sequentially deciding the splitting predictor variable(s) and…

Machine Learning · Statistics 2021-10-25 Rafael Blanquero , Emilio Carrizosa , Cristina Molero-Río , Dolores Romero Morales