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Most machine learning (ML) models are developed for prediction only; offering no option for causal interpretation of their predictions or parameters/properties. This can hamper the health systems' ability to employ ML models in clinical…

Estimating the effect of a treatment on a given outcome, conditioned on a vector of covariates, is central in many applications. However, learning the impact of a treatment on a continuous temporal response, when the covariates suffer…

Machine Learning · Computer Science 2019-06-11 Guangyi Zhang , Reza Ashrafi , Anne Juuti , Kirsi Pietiläinen , Pekka Marttinen

Estimating counterfactual outcomes over time has the potential to unlock personalized healthcare by assisting decision-makers to answer ''what-iF'' questions. Existing causal inference approaches typically consider regular, discrete-time…

Machine Learning · Computer Science 2022-06-17 Nabeel Seedat , Fergus Imrie , Alexis Bellot , Zhaozhi Qian , Mihaela van der Schaar

Due to the increasing use of machine learning in practice it becomes more and more important to be able to explain the prediction and behavior of machine learning models. An instance of explanations are counterfactual explanations which…

Machine Learning · Computer Science 2019-11-19 André Artelt , Barbara Hammer

Unlike classical causal inference, which often has an average causal effect of a treatment within a population as a target, in settings such as personalized medicine, the goal is to map a given unit's characteristics to a treatment tailored…

Methodology · Statistics 2017-09-13 Ilya Shpitser , Sourjya Sarkar

Unlike traditional supervised learning, in many settings only partial feedback is available. We may only observe outcomes for the chosen actions, but not the counterfactual outcomes associated with other alternatives. Such settings…

Machine Learning · Computer Science 2021-12-09 Ruijiang Gao , Max Biggs , Wei Sun , Ligong Han

The learning curve expresses the error rate of a predictive modeling procedure as a function of the sample size of the training dataset. It typically is a decreasing, convex function with a positive limiting value. An estimate of the…

Applications · Statistics 2012-03-14 Eric B. Laber , Kerby Shedden , Yang Yang

Post-hoc explanations of machine learning models are crucial for people to understand and act on algorithmic predictions. An intriguing class of explanations is through counterfactuals, hypothetical examples that show people how to obtain a…

Machine Learning · Computer Science 2019-12-09 Ramaravind Kommiya Mothilal , Amit Sharma , Chenhao Tan

Long-term treatment effect estimation is a significant but challenging problem in many applications. Existing methods rely on ideal assumptions, such as no unobserved confounders or binary treatment, to estimate long-term average treatment…

Machine Learning · Computer Science 2025-10-23 Zeqin Yang , Weilin Chen , Ruichu Cai , Yuguang Yan , Zhifeng Hao , Zhipeng Yu , Zhichao Zou , Jixing Xu , Zhen Peng , Jiecheng Guo

Counterfactual inference aims to estimate the counterfactual outcome at the individual level given knowledge of an observed treatment and the factual outcome, with broad applications in fields such as epidemiology, econometrics, and…

Machine Learning · Computer Science 2025-10-06 Peng Wu , Haoxuan Li , Chunyuan Zheng , Yan Zeng , Jiawei Chen , Yang Liu , Ruocheng Guo , Kun Zhang

A core challenge in causal inference is how to extrapolate long term effects, of possibly continuous actions, from short term experimental data. It arises in artificial intelligence: the long term consequences of continuous actions may be…

Econometrics · Economics 2025-01-03 Rahul Singh , Hannah Zhou

This paper constructs a doubly robust estimator for continuous dose-response estimation. An outcome regression model is augmented with a set of inverse generalized propensity score covariates to correct for potential misspecification bias.…

Statistics Theory · Mathematics 2015-06-17 Daniel J. Graham , Emma J. McCoy , David A. Stephens

In fields such as medicine and social sciences, the goal of treatment is often to maintain the outcome of interest within a desirable range rather than to optimize its value. To achieve this, it may be more practical to recommend a…

Methodology · Statistics 2025-02-17 Chan Park , Guanhua Chen , Menggang Yu

We propose a novel training regime termed counterfactual training that leverages counterfactual explanations to increase the explanatory capacity of models. Counterfactual explanations have emerged as a popular post-hoc explanation method…

Machine Learning · Computer Science 2026-01-23 Patrick Altmeyer , Aleksander Buszydlik , Arie van Deursen , Cynthia C. S. Liem

In this work, we propose a Machine Learning model that generates an adjustable 3D dose distribution for external beam radiation therapy for head-and-neck cancer treatments. In contrast to existing Machine Learning methods that provide a…

Estimating heterogeneous treatment effects with machine learning has attracted substantial attention in both academic research and industrial practice. However, the two communities often evaluate models under markedly different conditions.…

Machine Learning · Computer Science 2026-05-26 George Panagopoulos

Counterfactual prediction is about predicting outcome of the unobserved situation from the data. For example, given patient is on drug A, what would be the outcome if she switch to drug B. Most of existing works focus on modeling…

Machine Learning · Computer Science 2020-10-29 Yanbo Xu , Cao Xiao , Jimeng Sun

Counterfactual estimation over time is important in various applications, such as personalized medicine. However, time-dependent confounding bias in observational data still poses a significant challenge in achieving accurate and efficient…

Machine Learning · Computer Science 2026-03-13 Nghia D. Nguyen , Pablo Robles-Granda , Lav R. Varshney

Estimating counterfactual distributions under interventions is central to treatment risk assessment and counterfactual generation tasks. Existing approaches model the counterfactual distribution as a standalone generative target, without…

Machine Learning · Statistics 2026-05-11 Hugh Dance , Johnny Xi , Peter Orbanz , Benjamin Bloem-Reddy

Evaluating treatment effect heterogeneity widely informs treatment decision making. At the moment, much emphasis is placed on the estimation of the conditional average treatment effect via flexible machine learning algorithms. While these…

Methodology · Statistics 2021-05-07 Lihua Lei , Emmanuel J. Candès