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Counterfactual explanations are usually generated through heuristics that are sensitive to the search's initial conditions. The absence of guarantees of performance and robustness hinders trustworthiness. In this paper, we take a…

Machine Learning · Computer Science 2021-06-28 Axel Parmentier , Thibaut Vidal

Model interpretability has become an important problem in machine learning (ML) due to the increased effect that algorithmic decisions have on humans. Counterfactual explanations can help users understand not only why ML models make certain…

Machine Learning · Computer Science 2021-12-20 Ana Lucic , Harrie Oosterhuis , Hinda Haned , Maarten de Rijke

Counterfactual explanations are a central tool in interpretable machine learning, yet computing them exactly for complex models remains challenging. For tree ensembles, predictions are piecewise constant over a large collection of…

Machine Learning · Computer Science 2026-05-08 Awa Khouna , Julien Ferry , Thibaut Vidal

Explaining the decisions of machine learning models is becoming a necessity in many areas where trust in ML models decision is key to their accreditation/adoption. The ability to explain models decisions also allows to provide diagnosis in…

Machine Learning · Computer Science 2021-06-01 Pierre Blanchart

Counterfactual explanations (CFE) are being widely used to explain algorithmic decisions, especially in consequential decision-making contexts (e.g., loan approval or pretrial bail). In this context, CFEs aim to provide individuals affected…

Machine Learning · Computer Science 2021-02-09 Kiarash Mohammadi , Amir-Hossein Karimi , Gilles Barthe , Isabel Valera

We consider finding a counterfactual explanation for a classification or regression forest, such as a random forest. This requires solving an optimization problem to find the closest input instance to a given instance for which the forest…

Machine Learning · Computer Science 2023-03-07 Miguel Á. Carreira-Perpiñán , Suryabhan Singh Hada

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

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

As data-driven predictive models are increasingly used to inform decisions, it has been argued that decision makers should provide explanations that help individuals understand what would have to change for these decisions to be beneficial…

Machine Learning · Computer Science 2020-10-15 Stratis Tsirtsis , Manuel Gomez-Rodriguez

Counterfactual Explanations (CE) face several unresolved challenges, such as ensuring stability, synthesizing multiple CEs, and providing plausibility and sparsity guarantees. From a more practical point of view, recent studies [Pawelczyk…

Machine Learning · Statistics 2024-03-19 Salim I. Amoukou , Nicolas J. B Brunel

To increase the adoption of counterfactual explanations in practice, several criteria that these should adhere to have been put forward in the literature. We propose counterfactual explanations using optimization with constraint learning…

Machine Learning · Computer Science 2022-12-15 Donato Maragno , Tabea E. Röber , Ilker Birbil

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

High-dimensional design spaces underpin a wide range of physics-based modeling and computational design tasks in science and engineering. These problems are commonly formulated as constrained black-box searches over rugged objective…

Machine Learning · Computer Science 2026-01-13 Suvo Banik , Troy D. Loeffler , Henry Chan , Sukriti Manna , Orcun Yildiz , Tom Peterka , Subramanian Sankaranarayanan

Random forests and, more generally, (decision\nobreakdash-)tree ensembles are widely used methods for classification and regression. Recent algorithmic advances allow to compute decision trees that are optimal for various measures such as…

Machine Learning · Computer Science 2024-09-25 Christian Komusiewicz , Pascal Kunz , Frank Sommer , Manuel Sorge

Counterfactual explanations provide individuals with cost-optimal recommendations to achieve their desired outcomes. However, when a significant number of individuals seek similar state modifications, this individual-centric approach can…

Machine Learning · Computer Science 2025-10-01 Ahmad-Reza Ehyaei , Ali Shirali , Samira Samadi

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

In recent years, significant progress has been made on algorithms for learning optimal decision trees, primarily in the context of binary features. Extending these methods to continuous features remains substantially more challenging due to…

Machine Learning · Computer Science 2026-01-22 Harold Kiossou , Pierre Schaus , Siegfried Nijssen

Tree projections provide a unifying framework to deal with most structural decomposition methods of constraint satisfaction problems (CSPs). Within this framework, a CSP instance is decomposed into a number of sub-problems, called views,…

Artificial Intelligence · Computer Science 2017-11-15 Georg Gottlob , Gianlugi Greco , Francesco Scarcello

We consider the chance-constrained program (CCP) with random right-hand side under a finite discrete distribution. It is known that the standard mixed integer linear programming (MILP) reformulation of the CCP is generally difficult to…

Optimization and Control · Mathematics 2026-01-28 Wei Lv , Wei-Kun Chen , Yu-Hong Dai , Xiao-Jiao Tong

Predictive models are being increasingly used to support consequential decision making at the individual level in contexts such as pretrial bail and loan approval. As a result, there is increasing social and legal pressure to provide…

Machine Learning · Computer Science 2020-03-02 Amir-Hossein Karimi , Gilles Barthe , Borja Balle , Isabel Valera
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