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Robust estimation of heterogeneous treatment effects is a fundamental challenge for optimal decision-making in domains ranging from personalized medicine to educational policy. In recent years, predictive machine learning has emerged as a…

Machine Learning · Statistics 2025-06-23 Maximilian Schuessler , Erik Sverdrup , Robert Tibshirani

Surrogate modelling techniques have opened up new possibilities to overcome the limitations of computationally intensive numerical models in various areas of engineering and science. However, while fundamental in many engineering…

Numerical Analysis · Mathematics 2024-02-20 José Calos García-Marino , Carmen Calvo-Jurado , Enrique García-Macías

The identification of heterogeneous treatment effects (HTE) across subgroups is of significant interest in clinical trial analysis. Several state-of-the-art HTE estimation methods, including causal forests, apply recursive partitioning for…

Methodology · Statistics 2025-06-10 Vik Shirvaikar , Andrea Storås , Xi Lin , Chris Holmes

For estimation and predictions of random fields it is increasingly acknowledged that the kriging variance may be a poor representative of true uncertainty. Experimental designs based on more elaborate criteria that are appropriate for…

Methodology · Statistics 2013-05-15 Werner G. Müller , Luc Pronzato , Joao Rendas , Helmut Waldl

Flexible estimation of heterogeneous treatment effects lies at the heart of many statistical challenges, such as personalized medicine and optimal resource allocation. In this paper, we develop a general class of two-step algorithms for…

Machine Learning · Statistics 2020-08-07 Xinkun Nie , Stefan Wager

Treeging combines the flexible mean structure of regression trees with the covariance-based prediction strategy of kriging into the base learner of an ensemble prediction algorithm. In so doing, it combines the strengths of the two primary…

Machine Learning · Statistics 2021-10-05 Gregory L. Watson , Michael Jerrett , Colleen E. Reid , Donatello Telesca

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

Flexible machine learning tools are increasingly used to estimate heterogeneous treatment effects. This paper gives an accessible tutorial demonstrating the use of the causal forest algorithm, available in the R package grf. We start with a…

Applications · Statistics 2024-12-17 Erik Sverdrup , Maria Petukhova , Stefan Wager

Continuous treatments have posed a significant challenge for causal inference, both in the formulation and identification of scientifically meaningful effects and in their robust estimation. Traditionally, focus has been placed on…

Methodology · Statistics 2022-06-29 Nima S. Hejazi , David Benkeser , Iván Díaz , Mark J. van der Laan

Causal inference in the presence of intermediate variables is a challenging problem in many applications. Principal stratification (PS) provides a framework to estimate principal causal effects (PCE) in such settings. However, existing PS…

Methodology · Statistics 2026-02-20 Lei Yang , Michael J. Daniels , Fan Li

The Hawkes process (HP) has been widely applied to modeling self-exciting events including neuron spikes, earthquakes and tweets. To avoid designing parametric triggering kernel and to be able to quantify the prediction confidence, the…

Machine Learning · Computer Science 2021-02-05 Rui Zhang , Christian Walder , Marian-Andrei Rizoiu

When assessing the causal effect of a binary exposure using observational data, confounder imbalance across exposure arms must be addressed. Matching methods, including propensity score-based matching, can be used to deconfound the causal…

Methodology · Statistics 2024-10-01 Ernesto Ulloa-Pérez , Marco Carone , Alex Luedtke

To obtain more accurate model parameters and improve prediction accuracy, we proposed a regularized Kriging model that penalizes the hyperparameter theta in the Gaussian stochastic process, termed the Theta-regularized Kriging. We derived…

Computation · Statistics 2026-04-17 Xuelin Xie , Xiliang Lu

Kriging (or Gaussian process regression) is a popular machine learning method for its flexibility and closed-form prediction expressions. However, one of the key challenges in applying kriging to engineering systems is that the available…

Methodology · Statistics 2020-12-23 Jialei Chen , Zhehui Chen , Chuck Zhang , C. F. Jeff Wu

Heterogeneous treatment effects, which vary according to individual covariates, are crucial in fields such as personalized medicine and tailored treatment strategies. In many applications, rather than considering the heterogeneity induced…

Methodology · Statistics 2025-08-26 Peng Wu , Pengtao Zeng , Zhaoqing Tian , Shaojie Wei

A major focus of causal inference is the estimation of heterogeneous average treatment effects (HTE) - average treatment effects within strata of another variable of interest such as levels of a biomarker, education, or age strata.…

Methodology · Statistics 2023-01-05 Arman Oganisian , Nandita Mitra , Jason Roy

Combination of low-tensor rank techniques and the Fast Fourier transform (FFT) based methods had turned out to be prominent in accelerating various statistical operations such as Kriging, computing conditional covariance, geostatistical…

Computation · Statistics 2019-04-23 Sergey Dolgov , Alexander Litvinenko , Dishi Liu

This paper develops a sparsity-inducing version of Bayesian Causal Forests, a recently proposed nonparametric causal regression model that employs Bayesian Additive Regression Trees and is specifically designed to estimate heterogeneous…

Methodology · Statistics 2021-11-17 Alberto Caron , Gianluca Baio , Ioanna Manolopoulou

We study the problem of inferring heterogeneous treatment effects (HTEs) from time-to-event data in the presence of competing events. Albeit its great practical relevance, this problem has received little attention compared to its…

Methodology · Statistics 2023-02-27 Alicia Curth , Mihaela van der Schaar

Propensity score weighting approaches have been widely implemented in clinical research to estimate the effects of a treatment or exposure while mitigating the risk of confounding in the absence of random assignment. In practice, when…

Methodology · Statistics 2026-04-17 Emma K. Mackay , Amol A. Verma , Fahad Razak , Surain B. Roberts