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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 (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 (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

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) offer a human-understandable way to explain decisions by identifying specific changes to the input parameters of a base or present model that would lead to a desired change in the outcome. For optimization…

Optimization and Control · Mathematics 2026-01-06 Felix Engelhardt , Jannis Kurtz , Ş. İlker Birbil , Ted Ralphs

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 (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 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

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 are one of the most popular methods to make predictions of black box machine learning models interpretable by providing explanations in the form of `what-if scenarios'. Most current approaches optimize a…

Machine Learning · Statistics 2020-10-16 Susanne Dandl , Christoph Molnar , Martin Binder , Bernd Bischl

Counterfactual explanations (CE) aim to reveal how small input changes flip a model's prediction, yet many methods modify more features than necessary, reducing clarity and actionability. We introduce \emph{COLA}, a model- and…

Machine Learning · Computer Science 2026-03-02 Lei You , Yijun Bian , Lele Cao

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

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 (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, and their associated algorithmic recourse, are typically leveraged to understand, explain, and potentially alter a prediction coming from a black-box classifier. In this paper, we propose to extend the use of…

Counterfactual explanations (CEs) aim to enhance the interpretability of machine learning models by illustrating how alterations in input features would affect the resulting predictions. Common CE approaches require an additional model and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-02 Matan Atad , David Schinz , Hendrik Moeller , Robert Graf , Benedikt Wiestler , Daniel Rueckert , Nassir Navab , Jan S. Kirschke , Matthias Keicher

Visual counterfactual explainers (VCEs) are a straightforward and promising approach to enhancing the transparency of image classifiers. VCEs complement other types of explanations, such as feature attribution, by revealing the specific…

Machine Learning · Computer Science 2026-01-13 Sidney Bender , Jan Herrmann , Klaus-Robert Müller , Grégoire Montavon

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

With machine learning models being increasingly applied to various decision-making scenarios, people have spent growing efforts to make machine learning models more transparent and explainable. Among various explanation techniques,…

Machine Learning · Computer Science 2020-08-20 Furui Cheng , Yao Ming , Huamin Qu
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