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The concept of counterfactual explanations (CE) has emerged as one of the important concepts to understand the inner workings of complex AI systems. In this paper, we translate the idea of CEs to linear optimization and propose, motivate,…

Optimization and Control · Mathematics 2024-05-27 Jannis Kurtz , Ş. İlker Birbil , Dick den Hertog

Counterfactual Explanations (CEs) are a powerful technique used to explain Machine Learning models by showing how the input to a model should be minimally changed for the model to produce a different output. Similar proposals have been made…

Artificial Intelligence · Computer Science 2025-09-01 Nicola Gigante , Francesco Leofante , Andrea Micheli

Counterfactual explanations play an important role in detecting bias and improving the explainability of data-driven classification models. A counterfactual explanation (CE) is a minimal perturbed data point for which the decision of the…

Machine Learning · Computer Science 2023-10-27 Donato Maragno , Jannis Kurtz , Tabea E. Röber , Rob Goedhart , Ş. Ilker Birbil , Dick den Hertog

Counterfactual explanations (CEs) are a powerful means for understanding how decisions made by algorithms can be changed. Researchers have proposed a number of desiderata that CEs should meet to be practically useful, such as requiring…

Machine Learning · Computer Science 2022-09-26 Marco Virgolin , Saverio Fracaros

Counterfactual explanations (CEs) are advocated as being ideally suited to providing algorithmic recourse for subjects affected by the predictions of machine learning models. While CEs can be beneficial to affected individuals, recent work…

Machine Learning · Computer Science 2024-02-06 Junqi Jiang , Francesco Leofante , Antonio Rago , Francesca Toni

Counterfactual explanations (CEs) are a practical tool for demonstrating why machine learning classifiers make particular decisions. For CEs to be useful, it is important that they are easy for users to interpret. Existing methods for…

Machine Learning · Computer Science 2021-03-17 Lisa Schut , Oscar Key , Rory McGrath , Luca Costabello , Bogdan Sacaleanu , Medb Corcoran , Yarin Gal

Machine learning models are widely used in real-world applications. However, their complexity makes it often challenging to interpret the rationale behind their decisions. Counterfactual explanations (CEs) have emerged as a viable solution…

Machine Learning · Computer Science 2024-03-04 Muhammad Suffian , Jose M. Alonso-Moral , Alessandro Bogliolo

Counterfactual Explanations (CEs) are an important tool in Algorithmic Recourse for addressing two questions: 1. What are the crucial factors that led to an automated prediction/decision? 2. How can these factors be changed to achieve a…

Machine Learning · Computer Science 2023-11-23 Xuan Zhao , Klaus Broelemann , Gjergji Kasneci

In recent years, explainability in machine learning has gained importance. In this context, counterfactual explanation (CE), which is an explanation method that uses examples, has attracted attention. However, it has been pointed out that…

Machine Learning · Computer Science 2025-02-04 Keita Kinjo

Counterfactual Explanations (CEs) have received increasing interest as a major methodology for explaining neural network classifiers. Usually, CEs for an input-output pair are defined as data points with minimum distance to the input that…

Machine Learning · Computer Science 2024-04-05 Junqi Jiang , Jianglin Lan , Francesco Leofante , Antonio Rago , Francesca Toni

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 Explanations (CFEs) interpret machine learning models by identifying the smallest change to input features needed to change the model's prediction to a desired output. For classification tasks, CFEs determine how close a…

Machine Learning · Computer Science 2025-10-01 Margarita A. Guerrero , Cristian R. Rojas

Counterfactual explanations (CFEs) exemplify how to minimally modify a feature vector to achieve a different prediction for an instance. CFEs can enhance informational fairness and trustworthiness, and provide suggestions for users who…

Machine Learning · Computer Science 2023-09-12 Yongjie Wang , Hangwei Qian , Yongjie Liu , Wei Guo , Chunyan Miao

Counterfactual explanations (CEs) are methods for generating an alternative scenario that produces a different desirable outcome. For example, if a student is predicted to fail a course, then counterfactual explanations can provide the…

Machine Learning · Statistics 2023-01-09 Bevan I. Smith

Counterfactual explanation (CE) is a widely used post-hoc method that provides individuals with actionable changes to alter an unfavorable prediction from a machine learning model. Plausible CE methods improve realism by considering data…

Machine Learning · Computer Science 2025-09-25 Trung Nguyen Thanh , Huyen Giang Thi Thu , Tai Le Quy , Ha-Bang Ban

We consider counterfactual explanations, the problem of minimally adjusting features in a source input instance so that it is classified as a target class under a given classifier. This has become a topic of recent interest as a way to…

Machine Learning · Computer Science 2021-03-02 Miguel Á. Carreira-Perpiñán , Suryabhan Singh Hada

Counterfactual Explanations (CEs) have emerged as a major paradigm in explainable AI research, providing recourse recommendations for users affected by the decisions of machine learning models. However, CEs found by existing methods often…

Machine Learning · Computer Science 2024-11-25 Junqi Jiang , Francesco Leofante , Antonio Rago , Francesca Toni

Counterfactual explanations (CEs) enhance the interpretability of machine learning models by describing what changes to an input are necessary to change its prediction to a desired class. These explanations are commonly used to guide users'…

Machine Learning · Computer Science 2024-03-07 Anna P. Meyer , Yuhao Zhang , Aws Albarghouthi , Loris D'Antoni

Explanations play a variety of roles in various recommender systems, from a legally mandated afterthought, through an integral element of user experience, to a key to persuasiveness. A natural and useful form of an explanation is the…

Machine Learning · Computer Science 2025-07-11 Jakub Černý , Jiří Němeček , Ivan Dovica , Jakub Mareček

Counterfactual explanations (CEs) offer interpretable insights into machine learning predictions by answering ``what if?" questions. However, in real-world settings where models are frequently updated, existing counterfactual explanations…

Machine Learning · Computer Science 2026-02-12 Jamie Duell , Xiuyi Fan
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