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Structural causal models are the basic modelling unit in Pearl's causal theory; in principle they allow us to solve counterfactuals, which are at the top rung of the ladder of causation. But they often contain latent variables that limit…

Artificial Intelligence · Computer Science 2021-11-23 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Causal approaches to fairness have seen substantial recent interest, both from the machine learning community and from wider parties interested in ethical prediction algorithms. In no small part, this has been due to the fact that causal…

Machine Learning · Computer Science 2019-08-17 Niki Kilbertus , Philip J. Ball , Matt J. Kusner , Adrian Weller , Ricardo Silva

Causal parameters may not be point identified in the presence of unobserved confounding. However, information about non-identified parameters, in the form of bounds, may still be recovered from the observed data in some cases. We develop a…

Methodology · Statistics 2020-07-02 Noam Finkelstein , Ilya Shpitser

The framework of Pearl's Causal Hierarchy (PCH) formalizes three types of reasoning: probabilistic (i.e. purely observational), interventional, and counterfactual, that reflect the progressive sophistication of human thought regarding…

Artificial Intelligence · Computer Science 2025-02-07 Julian Dörfler , Benito van der Zander , Markus Bläser , Maciej Liskiewicz

When an image classifier outputs a wrong class label, it can be helpful to see what changes in the image would lead to a correct classification. This is the aim of algorithms generating counterfactual explanations. However, there is no…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Benedikt Höltgen , Lisa Schut , Jan M. Brauner , Yarin Gal

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

Personalized decision making requires the knowledge of potential outcomes under different treatments, and confidence intervals about the potential outcomes further enrich this decision-making process and improve its reliability in…

Machine Learning · Computer Science 2024-05-22 Zonghao Chen , Ruocheng Guo , Jean-François Ton , Yang Liu

Causal analysis may be affected by selection bias, which is defined as the systematic exclusion of data from a certain subpopulation. Previous work in this area focused on the derivation of identifiability conditions. We propose instead a…

Machine Learning · Statistics 2022-08-03 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas , David Huber , Dario Azzimonti

This paper develops a unified identification framework for counterfactual analysis in incomplete models characterized by support and moment restrictions. I demonstrate that identifying structural parameters and conducting counterfactual…

Econometrics · Economics 2026-03-10 Lixiong Li

Counterfactual inference provides a mathematical framework for reasoning about hypothetical outcomes under alternative interventions, bridging causal reasoning and predictive modeling. We present a counterfactual inference framework for…

Machine Learning · Computer Science 2025-10-22 Jingya Cheng , Alaleh Azhir , Jiazi Tian , Hossein Estiri

Counterfactual learning is emerging as an important paradigm, rooted in causality, which promises to alleviate common issues of graph neural networks (GNNs), such as fairness and interpretability. However, as in many real-world application…

Machine Learning · Computer Science 2025-06-03 Dazhuo Qiu , Jinwen Chen , Arijit Khan , Yan Zhao , Francesco Bonchi

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

Counterfactuals are central in causal human reasoning and the scientific discovery process. The uplift, also called conditional average treatment effect, measures the causal effect of some action, or treatment, on the outcome of an…

Machine Learning · Computer Science 2025-12-10 Théo Verhelst , Denis Mercier , Jeevan Shrestha , Gianluca Bontempi

While counterfactual fairness of point predictors is well studied, its extension to prediction sets--central to fair decision-making under uncertainty--remains underexplored. On the other hand, conformal prediction (CP) provides efficient,…

Machine Learning · Computer Science 2026-03-13 Ozgur Guldogan , Neeraj Sarna , Yuanyuan Li , Michael Berger

Referred to as the third rung of the causal inference ladder, counterfactual queries typically ask the "What if ?" question retrospectively. The standard approach to estimate counterfactuals resides in using a structural equation model that…

Machine Learning · Computer Science 2023-01-18 Edward De Brouwer

The wide adoption of AI decision-making systems in critical domains such as criminal justice, loan approval, and hiring processes has heightened concerns about algorithmic fairness. As we often only have access to the output of algorithms…

Machine Learning · Computer Science 2025-10-02 Saeyoung Rho , Junzhe Zhang , Elias Bareinboim

Automated fact checking systems have been proposed that quickly provide veracity prediction at scale to mitigate the negative influence of fake news on people and on public opinion. However, most studies focus on veracity classifiers of…

Computation and Language · Computer Science 2022-06-15 Shih-Chieh Dai , Yi-Li Hsu , Aiping Xiong , Lun-Wei Ku

Machine learning models that operate on graph-structured data, such as molecular graphs or social networks, often make accurate predictions but offer little insight into why certain predictions are made. Counterfactual explanations address…

Machine Learning · Computer Science 2025-11-21 David Bechtoldt , Sidney Bender

Evaluating hypothetical statements about how the world would be had a different course of action been taken is arguably one key capability expected from modern AI systems. Counterfactual reasoning underpins discussions in fairness, the…

Machine Learning · Computer Science 2022-10-04 Kevin Xia , Yushu Pan , Elias Bareinboim

AI-driven outcomes can be challenging for end-users to understand. Explanations can address two key questions: "Why this outcome?" (factual) and "Why not another?" (counterfactual). While substantial efforts have been made to formalize…

Artificial Intelligence · Computer Science 2025-03-21 Suryani Lim , Henri Prade , Gilles Richard