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Counterfactual reasoning is pivotal in human cognition and especially important for providing explanations and making decisions. While Judea Pearl's influential approach is theoretically elegant, its generation of a counterfactual scenario…

Artificial Intelligence · Computer Science 2024-11-01 Guang-Yuan Hao , Jiji Zhang , Biwei Huang , Hao Wang , Kun Zhang

In this article we propose an extension to the typed natural deduction calculus TNDPQ to model verification of counterfactual fairness in probabilistic classifiers. This is obtained formulating specific structural conditions for causal…

Logic in Computer Science · Computer Science 2025-10-28 Leonardo Ceragioli , Giuseppe Primiero

Counterfactual explanation is one branch of interpretable machine learning that produces a perturbation sample to change the model's original decision. The generated samples can act as a recommendation for end-users to achieve their desired…

Machine Learning · Computer Science 2023-03-28 Tri Dung Duong , Qian Li , Guandong Xu

Vision Language Models (VLMs) have recently shown significant advancements in video understanding, especially in feature alignment, event reasoning, and instruction-following tasks. However, their capability for counterfactual reasoning,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Yuefei Chen , Jiang Liu , Xiaodong Lin , Ruixiang Tang

Counterfactual explanations are widely used to interpret machine learning predictions by identifying minimal changes to input features that would alter a model's decision. However, most existing counterfactual methods have not been tested…

Machine Learning · Computer Science 2026-02-03 Leonidas Christodoulou , Chang Sun

Currently, there is a significant amount of research being conducted in the field of artificial intelligence to improve the explainability and interpretability of deep learning models. It is found that if end-users understand the reason for…

Information Retrieval · Computer Science 2023-06-02 Niloofar Ranjbar , Saeedeh Momtazi , MohammadMehdi Homayounpour

We present a new method for counterfactual explanations (CFEs) based on Bayesian optimisation that applies to both classification and regression models. Our method is a globally convergent search algorithm with support for arbitrary…

Machine Learning · Computer Science 2021-06-30 Thomas Spooner , Danial Dervovic , Jason Long , Jon Shepard , Jiahao Chen , Daniele Magazzeni

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

The increasing use of machine learning in practice and legal regulations like EU's GDPR cause the necessity to be able to explain the prediction and behavior of machine learning models. A prominent example of particularly intuitive…

Machine Learning · Computer Science 2020-01-28 André Artelt , Barbara Hammer

Methods to find counterfactual explanations have predominantly focused on one step decision making processes. In this work, we initiate the development of methods to find counterfactual explanations for decision making processes in which…

Machine Learning · Computer Science 2021-10-28 Stratis Tsirtsis , Abir De , Manuel Gomez-Rodriguez

We propose answer-set programs that specify and compute counterfactual interventions as a basis for causality-based explanations to decisions produced by classification models. They can be applied with black-box models and models that can…

Machine Learning · Computer Science 2020-06-17 Leopoldo Bertossi

Counterfactual instances offer human-interpretable insight into the local behaviour of machine learning models. We propose a general framework to generate sparse, in-distribution counterfactual model explanations which match a desired…

Machine Learning · Computer Science 2021-01-26 Arnaud Van Looveren , Janis Klaise , Giovanni Vacanti , Oliver Cobb

We develop a novel method for counterfactual analysis based on observational data using prediction intervals for units under different exposures. Unlike methods that target heterogeneous or conditional average treatment effects of an…

Statistics Theory · Mathematics 2018-07-18 Dave Zachariah , Petre Stoica

Counterfactuals are often described as 'retrospective,' focusing on hypothetical alternatives to a realized past. This description relates to an often implicit assumption about the structure and stability of exogenous variables in the…

Artificial Intelligence · Computer Science 2022-12-09 Lucius E. J. Bynum , Joshua R. Loftus , Julia Stoyanovich

We derive a formal, decision-based method for comparing the performance of counterfactual treatment regime predictions using the results of experiments that give relevant information on the distribution of treated outcomes. Our approach…

Methodology · Statistics 2019-07-24 Michael Gechter , Cyrus Samii , Rajeev Dehejia , Cristian Pop-Eleches

In this work we propose a different surgical modified model for the construction of counterfactual variables under non parametric structural equation models. This approach allows the simultaneous representation of counterfactual responses…

Statistics Theory · Mathematics 2013-10-08 Julieta Molina , Lucio Pantazis , Mariela Sued

Counterfactual, serving as one emerging type of model explanation, has attracted tons of attentions recently from both industry and academia. Different from the conventional feature-based explanations (e.g., attributions), counterfactuals…

Machine Learning · Computer Science 2022-08-08 Fan Yang , Qizhang Feng , Kaixiong Zhou , Jiahao Chen , Xia Hu

Machine learning plays a role in many deployed decision systems, often in ways that are difficult or impossible to understand by human stakeholders. Explaining, in a human-understandable way, the relationship between the input and output of…

Machine Learning · Computer Science 2022-11-17 Sahil Verma , Varich Boonsanong , Minh Hoang , Keegan E. Hines , John P. Dickerson , Chirag Shah

We propose a framework for analyzing the sensitivity of counterfactuals to parametric assumptions about the distribution of latent variables in structural models. In particular, we derive bounds on counterfactuals as the distribution of…

Econometrics · Economics 2024-03-26 Timothy Christensen , Benjamin Connault

Machine-learning models are increasingly driving decisions in high-stakes settings, such as finance, law, and hiring, thus, highlighting the need for transparency. However, the key challenge is to balance transparency -- clarifying `why' a…

Artificial Intelligence · Computer Science 2025-08-29 Sopam Dasgupta , Sadaf MD Halim , Joaquín Arias , Elmer Salazar , Gopal Gupta