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Counterfactual explanations (CFEs) are essential for interpreting black-box models, yet they often become invalid when models are slightly changed. Existing methods for generating robust CFEs are often limited to specific types of models,…

Machine Learning · Computer Science 2026-04-21 Marcin Kostrzewa , Maciej Zięba , Jerzy Stefanowski

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

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

Counterfactual explanations (CFEs) guide users on how to adjust inputs to machine learning models to achieve desired outputs. While existing research primarily addresses static scenarios, real-world applications often involve data or model…

Machine Learning · Computer Science 2025-02-11 Ignacy Stępka , Mateusz Lango , Jerzy Stefanowski

Plausible counterfactual explanations (p-CFEs) are perturbations that minimally modify inputs to change classifier decisions while remaining plausible under the data distribution. In this study, we demonstrate that classifiers can be…

Machine Learning · Computer Science 2025-11-14 Shpresim Sadiku , Kartikeya Chitranshi , Hiroshi Kera , Sebastian Pokutta

The growing complexity of AI systems has intensified the need for transparency through Explainable AI (XAI). Counterfactual explanations (CFs) offer actionable "what-if" scenarios on three levels: Local CFs providing instance-specific…

Machine Learning · Computer Science 2026-05-12 Oleksii Furman , Patryk Wielopolski , Łukasz Lenkiewicz , Jerzy Stefanowski , Maciej Zięba

Counterfactual explanation is a form of interpretable machine learning that generates perturbations on a sample to achieve the desired outcome. The generated samples can act as instructions to guide end users on how to observe the desired…

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

Deep Gaussian processes (DGPs), a hierarchical composition of GP models, have successfully boosted the expressive power of their single-layer counterpart. However, it is impossible to perform exact inference in DGPs, which has motivated the…

Machine Learning · Computer Science 2021-05-27 Haibin Yu , Dapeng Liu , Yizhou Chen , Bryan Kian Hsiang Low , Patrick Jaillet

There is a growing concern that the recent progress made in AI, especially regarding the predictive competence of deep learning models, will be undermined by a failure to properly explain their operation and outputs. In response to this…

Machine Learning · Computer Science 2020-09-15 Eoin M. Kenny , Mark T. Keane

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

Counterfactual explanations (CFE) are methods that explain a machine learning model by giving an alternate class prediction of a data point with some minimal changes in its features. It helps the users to identify their data attributes that…

Artificial Intelligence · Computer Science 2023-12-01 Shashank Shekhar , Asif Salim , Adesh Bansode , Vivaswan Jinturkar , Anirudha Nayak

The growing integration of machine learning (ML) and artificial intelligence (AI) models into high-stakes domains such as healthcare and scientific research calls for models that are not only accurate but also interpretable. Among the…

Machine Learning · Computer Science 2025-10-23 Zhuo Cao , Xuan Zhao , Lena Krieger , Hanno Scharr , Ira Assent

The increasing deployment of machine learning as well as legal regulations such as EU's GDPR cause a need for user-friendly explanations of decisions proposed by machine learning models. Counterfactual explanations are considered as one of…

Machine Learning · Computer Science 2020-08-04 André Artelt , Barbara Hammer

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

Counterfactual explanations (CFs) provide human-interpretable insights into model's predictions by identifying minimal changes to input features that would alter the model's output. However, existing methods struggle to generate multiple…

Machine Learning · Computer Science 2026-02-20 Oleksii Furman , Patryk Marszałek , Jan Masłowski , Piotr Gaiński , Maciej Zięba , Marek Śmieja

Counterfactual explanations (CFEs) highlight what changes to a model's input would have changed its prediction in a particular way. CFEs have gained considerable traction as a psychologically grounded solution for explainable artificial…

Artificial Intelligence · Computer Science 2023-03-24 Ulrike Kuhl , André Artelt , Barbara Hammer

Counterfactual explanations have substantially increased in popularity in the past few years as a useful human-centric way of understanding individual black-box model predictions. While several properties desired of high-quality…

Machine Learning · Computer Science 2022-10-14 Shubham Sharma , Alan H. Gee , Jette Henderson , Joydeep Ghosh

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

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

Predicting potential and counterfactual outcomes from observational data is central to individualized decision-making, particularly in clinical settings where treatment choices must be tailored to each patient rather than guided solely by…

Machine Learning · Statistics 2026-04-16 Dongze Wu , David I. Inouye , Yao Xie
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