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Counterfactual frameworks have grown popular in machine learning for both explaining algorithmic decisions but also defining individual notions of fairness, more intuitive than typical group fairness conditions. However, state-of-the-art…

Artificial Intelligence · Computer Science 2023-01-09 Lucas de Lara , Alberto González-Sanz , Nicholas Asher , Laurent Risser , Jean-Michel Loubes

It is often said that the fundamental problem of causal inference is a missing data problem -- the comparison of responses to two hypothetical treatment assignments is made difficult because for every experimental unit only one potential…

Methodology · Statistics 2024-11-21 Razieh Nabi , Rohit Bhattacharya , Ilya Shpitser , James M. Robins

This article extends the widely-used synthetic controls estimator for evaluating causal effects of policy changes to quantile functions. The proposed method provides a geometrically faithful estimate of the entire counterfactual quantile…

Econometrics · Economics 2022-01-03 Florian Gunsilius

We consider after-study statistical inference for sequentially designed experiments wherein multiple units are assigned treatments for multiple time points using treatment policies that adapt over time. Our goal is to provide inference…

Machine Learning · Statistics 2025-06-10 Raaz Dwivedi , Katherine Tian , Sabina Tomkins , Predrag Klasnja , Susan Murphy , Devavrat Shah

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

We propose a formal model for counterfactual estimation with unobserved confounding in "data-rich" settings, i.e., where there are a large number of units and a large number of measurements per unit. Our model provides a bridge between the…

Econometrics · Economics 2025-04-03 Alberto Abadie , Anish Agarwal , Devavrat Shah

Group counterfactual explanations find a set of counterfactual instances to explain a group of input instances contrastively. However, existing methods either (i) optimize counterfactuals only for a fixed group and do not generalize to new…

Machine Learning · Computer Science 2026-01-29 Enrique Valero-Leal , Bernd Bischl , Pedro Larrañaga , Concha Bielza , Giuseppe Casalicchio

Counterfactual explanations can be obtained by identifying the smallest change made to a feature vector to qualitatively influence a prediction; for example, from 'loan rejected' to 'awarded' or from 'high risk of cardiovascular disease' to…

Machine Learning · Computer Science 2020-05-05 Martin Pawelczyk , Johannes Haug , Klaus Broelemann , Gjergji Kasneci

Balanced representation learning methods have been applied successfully to counterfactual inference from observational data. However, approaches that account for survival outcomes are relatively limited. Survival data are frequently…

Machine Learning · Statistics 2021-03-04 Paidamoyo Chapfuwa , Serge Assaad , Shuxi Zeng , Michael J. Pencina , Lawrence Carin , Ricardo Henao

Existing statistical methods in causal inference often assume the positivity condition, where every individual has some chance of receiving any treatment level regardless of covariates. This assumption could be violated in observational…

Methodology · Statistics 2025-01-22 Yikun Zhang , Yen-Chi Chen , Alexander Giessing

One of the most fundamental problems in causal inference is the estimation of a causal effect when variables are confounded. This is difficult in an observational study, because one has no direct evidence that all confounders have been…

Machine Learning · Statistics 2014-11-03 Ricardo Silva , Robin Evans

We consider the problem of learning a counterfactually fair regressor. We adopt a causal uncertainty view in which counterfactual fairness is defined with resampled noise. We focus on obtaining theoretical fairness guarantees for a new…

Machine Learning · Statistics 2026-05-28 M. Generali Lince , S. Gaucher , J-J. Vie , P. Loiseau

Work in Counterfactual Explanations tends to focus on the principle of "the closest possible world" that identifies small changes leading to the desired outcome. In this paper we argue that while this approach might initially seem…

Machine Learning · Computer Science 2020-02-25 Rafael Poyiadzi , Kacper Sokol , Raul Santos-Rodriguez , Tijl De Bie , Peter Flach

We consider identification and inference about a counterfactual outcome mean when there is unmeasured confounding using tools from proximal causal inference (Miao et al. [2018], Tchetgen Tchetgen et al. [2020]). Proximal causal inference…

Methodology · Statistics 2023-10-03 Jeffrey Zhang , Wei Li , Wang Miao , Eric Tchetgen Tchetgen

We study the problem of deriving policies, or rules, that when enacted on a complex system, cause a desired outcome. Absent the ability to perform controlled experiments, such rules have to be inferred from past observations of the system's…

Machine Learning · Computer Science 2020-09-09 Kailash Budhathoki , Mario Boley , Jilles Vreeken

Counterfactual estimation using synthetic controls is one of the most successful recent methodological developments in causal inference. Despite its popularity, the current description only considers time series aligned across units and…

Machine Learning · Statistics 2021-02-03 Alexis Bellot , Mihaela van der Schaar

We address the problem of integrating data from multiple, possibly biased, observational and interventional studies, to eventually compute counterfactuals in structural causal models. We start from the case of a single observational dataset…

Artificial Intelligence · Computer Science 2023-03-17 Marco Zaffalon , Alessandro Antonucci , David Huber , Rafael Cabañas

Counterfactual reasoning allows us to explore hypothetical scenarios in order to explain the impacts of our decisions. However, addressing such inquires is impossible without establishing the appropriate mathematical framework. In this…

Machine Learning · Computer Science 2025-06-25 Kurt Butler , Marija Iloska , Petar M. Djuric

Recently, optimal transport-based approaches have gained attention for deriving counterfactuals, e.g., to quantify algorithmic discrimination. However, in the general multivariate setting, these methods are often opaque and difficult to…

Machine Learning · Computer Science 2025-05-22 Agathe Fernandes Machado , Arthur Charpentier , Ewen Gallic

Many problems ask a question that can be formulated as a causal question: "what would have happened if...?" For example, "would the person have had surgery if he or she had been Black?" To address this kind of questions, calculating an…

Econometrics · Economics 2023-01-20 Arthur Charpentier , Emmanuel Flachaire , Ewen Gallic
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