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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

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

We introduce MCCE: Monte Carlo sampling of valid and realistic Counterfactual Explanations for tabular data, a novel counterfactual explanation method that generates on-manifold, actionable and valid counterfactuals by modeling the joint…

Machine Learning · Statistics 2024-01-26 Annabelle Redelmeier , Martin Jullum , Kjersti Aas , Anders Løland

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

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

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) provide recourse recommendations for individuals affected by algorithmic decisions. A key challenge is generating CEs that are robust against various perturbation types (e.g. input and model perturbations)…

Machine Learning · Computer Science 2026-03-02 Junqi Jiang , Francesco Leofante , Antonio Rago , Francesca Toni

Machine Learning (ML) systems are a building part of the modern tools which impact our daily life in several application domains. Due to their black-box nature, those systems are hardly adopted in application domains (e.g. health, finance)…

Machine Learning · Computer Science 2022-10-24 Mario Alfonso Prado-Romero , Giovanni Stilo

We present PPCEF, a novel method for generating probabilistically plausible counterfactual explanations (CFs). PPCEF advances beyond existing methods by combining a probabilistic formulation that leverages the data distribution with the…

Machine Learning · Computer Science 2025-12-16 Patryk Wielopolski , Oleksii Furman , Jerzy Stefanowski , Maciej Zięba

Graph-structured data is ubiquitous and powerful in representing complex relationships in many online platforms. While graph neural networks (GNNs) are widely used to learn from such data, counterfactual graph learning has emerged as a…

Machine Learning · Computer Science 2026-02-06 Seyedmasoud Mousavi , Ruomeng Xu , Xiaojing Zhu

Counterfactual explanation (CE) is a core technique in explainable artificial intelligence (XAI), widely used to interpret model decisions and suggest actionable alternatives. This work presents a structure-aware and robustness-oriented…

Artificial Intelligence · Computer Science 2026-02-10 Zhan-Yi Liao , Jaewon Yoo , Hao-Tsung Yang , Po-An Chen

Counterfactual explanations (CFE) for deep image classifiers aim to reveal how minimal input changes lead to different model decisions, providing critical insights for model interpretation and improvement. However, existing CFE methods…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Townim Faisal Chowdhury , Vu Minh Hieu Phan , Kewen Liao , Nanyu Dong , Minh-Son To , Anton Hengel , Johan Verjans , Zhibin Liao

Estimating an individual's counterfactual outcomes under interventions is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, facial images) and…

Machine Learning · Computer Science 2025-03-19 Yulun Wu , Louie McConnell , Claudia Iriondo

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

Counterfactual explanations have emerged as a promising method for elucidating the behavior of opaque black-box models. Recently, several works leveraged pixel-space diffusion models for counterfactual generation. To handle noisy,…

Machine Learning · Computer Science 2023-10-11 Karim Farid , Simon Schrodi , Max Argus , Thomas Brox

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 explanations (CFs) offer human-centric insights into machine learning predictions by highlighting minimal changes required to alter an outcome. Therefore, CFs can be used as (i) interventions for abnormality prevention and…

Artificial Intelligence · Computer Science 2025-09-09 Shovito Barua Soumma , Asiful Arefeen , Stephanie M. Carpenter , Melanie Hingle , Hassan Ghasemzadeh

A pressing issue in the adoption of AI models is the increasing demand for more human-centric explanations of their predictions. To advance towards more human-centric explanations, understanding how humans produce and select explanations…

Machine Learning · Computer Science 2024-07-26 Marharyta Domnich , Raul Vicente

Counterfactual explanations offer an intuitive way to interpret graph neural networks (GNNs) by identifying minimal changes that alter a model's prediction, thereby answering "what must differ for a different outcome?". In this work, we…

Machine Learning · Computer Science 2026-02-09 Yu Zhang , Sean Bin Yang , Arijit Khan , Cuneyt Gurcan Akcora

Visual counterfactual explanation (CF) methods modify image concepts, e.g, shape, to change a prediction to a predefined outcome while closely resembling the original query image. Unlike self-explainable models (SEMs) and heatmap…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Anselm Haselhoff , Kevin Trelenberg , Fabian Küppers , Jonas Schneider