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In our article, we describe a method for generating counterfactual explanations in high-dimensional spaces using four steps that involve fitting our dataset to a model, finding the decision boundary, determining constraints on the problem,…

Machine Learning · Computer Science 2025-11-17 Daniel Sin , Milad Toutounchian

Counterfactual inference considers a hypothetical intervention in a parallel world that shares some evidence with the factual world. If the evidence specifies a conditional distribution on a manifold, counterfactuals may be analytically…

Machine Learning · Statistics 2024-07-03 Juha Karvanen , Santtu Tikka , Matti Vihola

Recent work on counterfactual visual explanations has contributed to making artificial intelligence models more explainable by providing visual perturbation to flip the prediction. However, these approaches neglect the causal relationships…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yiran Qiao , Disheng Liu , Yiren Lu , Yu Yin , Mengnan Du , Jing Ma

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 reasoning allows us to explore hypothetical scenarios in order to explain the impacts of our decisions. However, addressing such inquires is impossible without establishing the appropriate mathematical framework. In this…

Machine Learning · Computer Science 2025-06-25 Kurt Butler , Marija Iloska , Petar M. Djuric

Clustering algorithms rely on complex optimisation processes that may be difficult to comprehend, especially for individuals who lack technical expertise. While many explainable artificial intelligence techniques exist for supervised…

Machine Learning · Computer Science 2024-09-20 Aurora Spagnol , Kacper Sokol , Pietro Barbiero , Marc Langheinrich , Martin Gjoreski

While for deterministic systems, a counterexample to a property can simply be an error trace, counterexamples in probabilistic systems are necessarily more complex. For instance, a set of erroneous traces with a sufficient cumulative…

Logic in Computer Science · Computer Science 2015-02-11 Tomáš Brázdil , Krishnendu Chatterjee , Martin Chmelík , Andreas Fellner , Jan Křetínský

Counterfactual explanations are attracting significant attention due to the flourishing applications of machine learning models in consequential domains. A counterfactual plan consists of multiple possibilities to modify a given instance so…

Machine Learning · Computer Science 2022-04-12 Ngoc Bui , Duy Nguyen , Viet Anh Nguyen

We introduce $\textit{PCFTL (Probabilistic CounterFactual Temporal Logic)}$, a new probabilistic temporal logic for the verification of Markov Decision Processes (MDP). PCFTL is the first to include operators for causal reasoning, allowing…

Artificial Intelligence · Computer Science 2025-07-02 Milad Kazemi , Nicola Paoletti

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

Investigations of causality in operational systems aim at providing human-understandable explanations of why a system behaves as it does. There is, in particular, a demand to explain what went wrong on a given counterexample execution that…

Logic in Computer Science · Computer Science 2023-10-03 Julie Parreaux , Jakob Piribauer , Christel Baier

Investigations of causality in operational systems aim at providing human-understandable explanations of why a system behaves as it does. There is, in particular, a demand to explain what went wrong on a given counterexample execution that…

Logic in Computer Science · Computer Science 2023-08-23 Julie Parreaux , Jakob Piribauer , Christel Baier

Counterfactuals answer questions of what would have been observed under altered circumstances and can therefore offer valuable insights. Whereas the classical interventional interpretation of counterfactuals has been studied extensively,…

Artificial Intelligence · Computer Science 2024-08-13 Klaus-Rudolf Kladny , Julius von Kügelgen , Bernhard Schölkopf , Michael Muehlebach

Understanding and manipulating the causal generation mechanisms in language models is essential for controlling their behavior. Previous work has primarily relied on techniques such as representation surgery -- e.g., model ablations or…

Computation and Language · Computer Science 2025-03-07 Shauli Ravfogel , Anej Svete , Vésteinn Snæbjarnarson , Ryan Cotterell

Recommender system practitioners are facing increasing pressure to explain recommendations. We explore how to explain recommendations using counterfactual logic, i.e. "Had you not interacted with the following items, we would not recommend…

Artificial Intelligence · Computer Science 2023-02-10 Yuanshun Yao , Chong Wang , Hang Li

As humans come to rely on autonomous systems more, ensuring the transparency of such systems is important to their continued adoption. Explainable Artificial Intelligence (XAI) aims to reduce confusion and foster trust in systems by…

Artificial Intelligence · Computer Science 2024-04-01 Benjamin Kraske , Zakariya Laouar , Zachary Sunberg

Reasoning with declarative knowledge (RDK) and sequential decision-making (SDM) are two key research areas in artificial intelligence. RDK methods reason with declarative domain knowledge, including commonsense knowledge, that is either…

Artificial Intelligence · Computer Science 2022-07-01 Shiqi Zhang , Mohan Sridharan

We introduce new inference procedures for counterfactual and synthetic control methods for policy evaluation. We recast the causal inference problem as a counterfactual prediction and a structural breaks testing problem. This allows us to…

Econometrics · Economics 2022-01-26 Victor Chernozhukov , Kaspar Wüthrich , Yinchu Zhu

Counterfactuals operationalised through algorithmic recourse have become a powerful tool to make artificial intelligence systems explainable. Conceptually, given an individual classified as y -- the factual -- we seek actions such that…

Machine learning models that automate decision-making are increasingly being used in consequential areas such as loan approvals, pretrial bail, hiring, and many more. Unfortunately, most of these models are black-boxes, i.e., they are…

Artificial Intelligence · Computer Science 2023-10-24 Sopam Dasgupta , Farhad Shakerin , Joaquín Arias , Elmer Salazar , Gopal Gupta
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