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Evaluating hypothetical statements about how the world would be had a different course of action been taken is arguably one key capability expected from modern AI systems. Counterfactual reasoning underpins discussions in fairness, the…

Machine Learning · Computer Science 2022-10-04 Kevin Xia , Yushu Pan , Elias Bareinboim

Counterfactual explanations are emerging as an attractive option for providing recourse to individuals adversely impacted by algorithmic decisions. As they are deployed in critical applications (e.g. law enforcement, financial lending), it…

Machine Learning · Computer Science 2021-11-05 Dylan Slack , Sophie Hilgard , Himabindu Lakkaraju , Sameer Singh

Explainable Artificial Intelligence and Formal Argumentation have received significant attention in recent years. Argumentation-based systems often lack explainability while supporting decision-making processes. Counterfactual and…

Artificial Intelligence · Computer Science 2024-05-08 Gianvincenzo Alfano , Sergio Greco , Francesco Parisi , Irina Trubitsyna

Counterfactual explanations are the de facto standard when tasked with interpreting decisions of (opaque) predictive models. Their generation is often subject to technical and domain-specific constraints that aim to maximise their real-life…

Machine Learning · Computer Science 2025-04-10 Kacper Sokol , Edward Small , Yueqing Xuan

For a rational function of several variables with nonnegative imaginary part on the upper poly-half-plane, the matrix representations are obtained.

Complex Variables · Mathematics 2021-11-30 M. F. Bessmertnyi

As machine learning is increasingly used to inform consequential decision-making (e.g., pre-trial bail and loan approval), it becomes important to explain how the system arrived at its decision, and also suggest actions to achieve a…

Machine Learning · Computer Science 2020-10-09 Amir-Hossein Karimi , Bernhard Schölkopf , Isabel Valera

Due to the increasing use of machine learning in practice it becomes more and more important to be able to explain the prediction and behavior of machine learning models. An instance of explanations are counterfactual explanations which…

Machine Learning · Computer Science 2019-11-19 André Artelt , Barbara Hammer

We present a computationally grounded semantics for counterfactual conditionals in which i) the state in a model is decomposed into two elements: a propositional valuation and a causal base in propositional form that represents the causal…

Logic in Computer Science · Computer Science 2025-05-21 Carlos Aguilera-Ventura , Xinghan Liu , Emiliano Lorini , Dmitry Rozplokhas

We predict credit applications with off-the-shelf, interchangeable black-box classifiers and we explain single predictions with counterfactual explanations. Counterfactual explanations expose the minimal changes required on the input data…

Artificial Intelligence · Computer Science 2018-11-19 Rory Mc Grath , Luca Costabello , Chan Le Van , Paul Sweeney , Farbod Kamiab , Zhao Shen , Freddy Lecue

There is a long tradition of fruitful interaction between logic and social choice theory. In recent years, much of this interaction has focused on computer-aided methods such as SAT solving and interactive theorem proving. In this paper, we…

Logic in Computer Science · Computer Science 2021-10-19 Wesley H. Holliday , Chase Norman , Eric Pacuit

Real-valued logics underlie an increasing number of neuro-symbolic approaches, though typically their logical inference capabilities are characterized only qualitatively. We provide foundations for establishing the correctness and power of…

Logic in Computer Science · Computer Science 2022-09-01 Ronald Fagin , Ryan Riegel , Alexander Gray

Interventions targeting the representation space of language models (LMs) have emerged as an effective means to influence model behavior. Such methods are employed, for example, to eliminate or alter the encoding of demographic information…

Computation and Language · Computer Science 2025-02-12 Matan Avitan , Ryan Cotterell , Yoav Goldberg , Shauli Ravfogel

Square roots of probabilities appear in several contexts, which suggests that they are somehow more fundamental than probabilities. Square roots of probabilities appear in expressions of the Fisher-Rao Metric and the Hellinger-Bhattacharyya…

General Mathematics · Mathematics 2016-03-29 Kevin H. Knuth

Counterfactuals play a pivotal role in the two distinct data science fields of causal inference (CI) and explainable artificial intelligence (XAI). While the core idea behind counterfactuals remains the same in both fields--the examination…

Machine Learning · Statistics 2025-05-20 Galit Shmueli , David Martens , Jaewon Yoo , Travis Greene

The concept of counterfactual explanations (CE) has emerged as one of the important concepts to understand the inner workings of complex AI systems. In this paper, we translate the idea of CEs to linear optimization and propose, motivate,…

Optimization and Control · Mathematics 2024-05-27 Jannis Kurtz , Ş. İlker Birbil , Dick den Hertog

Recent papers in explainable AI have made a compelling case for counterfactual modes of explanation. While counterfactual explanations appear to be extremely effective in some instances, they are formally equivalent to adversarial examples.…

Artificial Intelligence · Computer Science 2020-12-21 Kieran Browne , Ben Swift

Interpretability research takes counterfactual theories of causality for granted. Most causal methods rely on counterfactual interventions to inputs or the activations of particular model components, followed by observations of the change…

Machine Learning · Computer Science 2024-07-08 Aaron Mueller

Displaying confidence scores in human-AI interaction has been shown to help build trust between humans and AI systems. However, most existing research uses only the confidence score as a form of communication. As confidence scores are just…

Artificial Intelligence · Computer Science 2023-03-13 Thao Le , Tim Miller , Ronal Singh , Liz Sonenberg

Neural language models exhibit impressive performance on a variety of tasks, but their internal reasoning may be difficult to understand. Prior art aims to uncover meaningful properties within model representations via probes, but it is…

Computation and Language · Computer Science 2021-09-21 Mycal Tucker , Peng Qian , Roger Levy

The fundamental proposal in this article is that logical formulas of the form (f <-> ~f) are not contradictions, and that formulas of the form (t <-> t) are not tautologies. Such formulas, wherever they appear in mathematics, are instead…

Logic in Computer Science · Computer Science 2015-09-30 Timothy J. Armstrong