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Formal XAI (explainable AI) is a growing area that focuses on computing explanations with mathematical guarantees for the decisions made by ML models. Inside formal XAI, one of the most studied cases is that of explaining the choices taken…

Machine Learning · Computer Science 2022-07-26 Marcelo Arenas , Pablo Barceló , Miguel Romero , Bernardo Subercaseaux

Understanding the behavior of learned classifiers is an important task, and various black-box explanations, logical reasoning approaches, and model-specific methods have been proposed. In this paper, we introduce probabilistic sufficient…

Machine Learning · Computer Science 2021-05-24 Eric Wang , Pasha Khosravi , Guy Van den Broeck

Interpretable Machine Learning faces a recurring challenge of explaining the predictions made by opaque classifiers such as ensemble models, kernel methods, or neural networks in terms that are understandable to humans. When the model is…

Machine Learning · Computer Science 2024-11-14 Frederic Koriche , Jean-Marie Lagniez , Stefan Mengel , Chi Tran

Operators of Earth observation satellites need justifications for scheduling decisions: why a request was selected, rejected, or what changes would make it schedulable. Existing approaches construct post-hoc reasoning layers independent of…

Artificial Intelligence · Computer Science 2026-03-03 Najeeb Khan

*Minimal sufficient reasons* represent a prevalent form of explanation - the smallest subset of input features which, when held constant at their corresponding values, ensure that the prediction remains unchanged. Previous *post-hoc*…

Machine Learning · Computer Science 2025-03-04 Shahaf Bassan , Ron Eliav , Shlomit Gur

Reliable pattern recognition systems should exhibit consistent behavior across similar inputs, and their explanations should remain stable. However, most Explainable AI evaluations remain instance centric and do not explicitly quantify…

Artificial Intelligence · Computer Science 2026-04-07 Abu Noman Md Sakib , Zhensen Wang , Merjulah Roby , Zijie Zhang

Despite significant progress in post-hoc explanation methods for neural networks, many remain heuristic and lack provable guarantees. A key approach for obtaining explanations with provable guarantees is by identifying a cardinally-minimal…

Machine Learning · Computer Science 2026-02-20 Shahaf Bassan , Yizhak Yisrael Elboher , Tobias Ladner , Volkan Şahin , Jan Kretinsky , Matthias Althoff , Guy Katz

Formal XAI is an emerging field that focuses on providing explanations with mathematical guarantees for the decisions made by machine learning models. A significant amount of work in this area is centered on the computation of "sufficient…

Artificial Intelligence · Computer Science 2025-01-03 Bernardo Subercaseaux , Marcelo Arenas , Kuldeep S Meel

To explain the decision of any model, we extend the notion of probabilistic Sufficient Explanations (P-SE). For each instance, this approach selects the minimal subset of features that is sufficient to yield the same prediction with high…

Machine Learning · Statistics 2022-10-17 Salim I. Amoukou , Nicolas J. B Brunel

Inherent explainability is the gold standard in Explainable Artificial Intelligence (XAI). However, there is not a consistent definition or test to demonstrate inherent explainability. Work to date either characterises explainability…

Machine Learning · Computer Science 2025-12-22 Michael Merry , Pat Riddle , Jim Warren

In this paper we present a heuristic method to provide individual explanations for those elements in a dataset (data points) which are wrongly predicted by a given classifier. Since the general case is too difficult, in the present work we…

Machine Learning · Computer Science 2023-02-21 Sheng Zhou , Pierre Blanchart , Michel Crucianu , Marin Ferecatu

The overarching goal of Explainable AI is to develop systems that not only exhibit intelligent behaviours, but also are able to explain their rationale and reveal insights. In explainable machine learning, methods that produce a high level…

Artificial Intelligence · Computer Science 2020-05-06 Xiuyi Fan , Siyuan Liu , Thomas C. Henderson

We introduce the notion of pointwise coverage to measure the explainability properties of machine learning classifiers. An explanation for a prediction is a definably simple region of the feature space sharing the same label as the…

Machine Learning · Computer Science 2019-10-24 Brett Mullins

Conformal prediction is a model-agnostic approach to generating prediction sets that cover the true class with a high probability. Although its prediction set size is expected to capture aleatoric uncertainty, there is a lack of evidence…

Machine Learning · Computer Science 2025-11-24 Misgina Tsighe Hagos , Claes Lundström

In recent years, explaining decisions made by complex machine learning models has become essential in high-stakes domains such as energy systems, healthcare, finance, and autonomous systems. However, the reliability of these explanations,…

Machine Learning · Computer Science 2026-02-06 Poushali Sengupta , Sabita Maharjan , Frank Eliassen , Shashi Raj Pandey , Yan Zhang

Modern software for propositional satisfiability problems gives a powerful automated reasoning toolkit, capable of outputting not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability in the form of resolution…

Artificial Intelligence · Computer Science 2024-11-13 Konstantin Sidorov , Koos van der Linden , Gonçalo Homem de Almeida Correia , Mathijs de Weerdt , Emir Demirović

Inspired by branch-and-bound and cutting plane proofs in mixed-integer optimization and proof complexity, we develop a general approach via Hoffman's Helly systems. This helps to distill the main ideas behind optimality and infeasibility…

Optimization and Control · Mathematics 2022-06-29 Amitabh Basu , Tongtong Chen , Michele Conforti , Hongyi Jiang

We consider the problem of estimating how well a model class is capable of fitting a distribution of labeled data. We show that it is often possible to accurately estimate this "learnability" even when given an amount of data that is too…

Machine Learning · Computer Science 2019-03-26 Weihao Kong , Gregory Valiant

Conformal prediction is a statistical framework that generates prediction sets containing ground-truth labels with a desired coverage guarantee. The predicted probabilities produced by machine learning models are generally miscalibrated,…

Machine Learning · Computer Science 2024-06-07 Jianguo Huang , Huajun Xi , Linjun Zhang , Huaxiu Yao , Yue Qiu , Hongxin Wei

Distributed proofs are mechanisms enabling the nodes of a network to collectivity and efficiently check the correctness of Boolean predicates on the structure of the network, or on data-structures distributed over the nodes (e.g., spanning…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-22 Laurent Feuilloley , Pierre Fraigniaud , Juho Hirvonen , Ami Paz , Mor Perry
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