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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

Coupling probability measures lies at the core of many problems in statistics and machine learning, from domain adaptation to transfer learning and causal inference. Yet, even when restricted to deterministic transports, such couplings are…

Machine Learning · Statistics 2025-09-22 Lucas De Lara , Luca Ganassali

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

In this paper, we link two existing approaches to derive counterfactuals: adaptations based on a causal graph, and optimal transport. We extend "Knothe's rearrangement" and "triangular transport" to probabilistic graphical models, and use…

Machine Learning · Computer Science 2025-04-29 Agathe Fernandes Machado , Arthur Charpentier , Ewen Gallic

Counterfactual inference is a powerful tool, capable of solving challenging problems in high-profile sectors. To perform counterfactual inference, one requires knowledge of the underlying causal mechanisms. However, causal mechanisms cannot…

Machine Learning · Computer Science 2023-01-23 Athanasios Vlontzos , Bernhard Kainz , Ciaran M. Gilligan-Lee

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

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

The theory of optimal transportation has developed into a powerful and elegant framework for comparing probability distributions, with wide-ranging applications in all areas of science. The fundamental idea of analyzing probabilities by…

Methodology · Statistics 2025-03-14 Florian F Gunsilius

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

Counterfactuals -- expressing what might have been true under different circumstances -- have been widely applied in statistics and machine learning to help understand causal relationships. More recently, counterfactuals have begun to…

Human-Computer Interaction · Computer Science 2024-04-08 Arran Zeyu Wang , David Borland , David Gotz

We show that one can perform causal inference in a natural way for continuous-time scenarios using tools from stochastic analysis. This provides new alternatives to the positivity condition for inverse probability weighting. The probability…

Statistics Theory · Mathematics 2013-04-23 Kjetil Røysland

Accurate estimation of counterfactual outcomes in high-dimensional data is crucial for decision-making and understanding causal relationships and intervention outcomes in various domains, including healthcare, economics, and social…

Machine Learning · Computer Science 2024-07-31 Jiageng Zhu , Hanchen Xie , Jiazhi Li , Wael Abd-Almageed

The capacity to address counterfactual "what if" inquiries is crucial for understanding and making use of causal influences. Traditional counterfactual inference, under Pearls' counterfactual framework, typically depends on having access to…

Machine Learning · Computer Science 2024-02-29 Shaoan Xie , Biwei Huang , Bin Gu , Tongliang Liu , Kun Zhang

We present a general framework for evaluating image counterfactuals. The power and flexibility of deep generative models make them valuable tools for learning mechanisms in structural causal models. However, their flexibility makes…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Miguel Monteiro , Fabio De Sousa Ribeiro , Nick Pawlowski , Daniel C. Castro , Ben Glocker

Machine-learning models, which are known to accurately predict patterns from large datasets, are crucial in decision making. Consequently, counterfactual explanations-methods explaining predictions by introducing input perturbations-have…

Machine Learning · Computer Science 2024-04-23 Yuta Sumiya , Hayaru shouno

Estimating joint distributions (a.k.a. couplings) over counterfactual outcomes is central to personalized decision-making and treatment risk assessment. Two emergent frameworks with identifiability guarantees are: (i) bijective structural…

Methodology · Statistics 2025-09-26 Hugh Dance , Benjamin Bloem-Reddy

This paper investigates the problem of bounding possible output from a counterfactual query given a set of observational data. While various works of literature have described methodologies to generate efficient algorithms that provide an…

Machine Learning · Computer Science 2022-09-02 Aditya Kelvianto Sidharta

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

Counterfactual explanations (CE) are the de facto method for providing insights into black-box decision-making models by identifying alternative inputs that lead to different outcomes. However, existing CE approaches, including group and…

Artificial Intelligence · Computer Science 2025-03-13 Lei You , Lele Cao , Mattias Nilsson , Bo Zhao , Lei Lei

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
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