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In this work we investigate the representation of counterfactual conditionals using the vector logic, a matrix-vectors formalism for logical functions and truth values. Inside this formalism, the counterfactuals can be transformed in…

Computation and Language · Computer Science 2020-09-03 Eduardo Mizraji

In the wake of responsible AI, interpretability methods, which attempt to provide an explanation for the predictions of neural models have seen rapid progress. In this work, we are concerned with explanations that are applicable to natural…

Computation and Language · Computer Science 2023-05-29 Giorgos Filandrianos , Edmund Dervakos , Orfeas Menis-Mastromichalakis , Chrysoula Zerva , Giorgos Stamou

Molecular property prediction is a crucial task that guides the design of new compounds, including drugs and materials. While explainable artificial intelligence methods aim to scrutinize model predictions by identifying influential…

Machine Learning · Computer Science 2025-08-27 Łukasz Janisiów , Marek Kochańczyk , Bartosz Zieliński , Tomasz Danel

Evaluation of counterfactual queries (e.g., "If A were true, would C have been true?") is important to fault diagnosis, planning, and determination of liability. In this paper we present methods for computing the probabilities of such…

Artificial Intelligence · Computer Science 2013-02-28 Alexander Balke , Judea Pearl

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

Consider the case where causal relations among variables can be described as a Gaussian linear structural equation model. This paper deals with the problem of clarifying how the variance of a response variable would have changed if a…

Artificial Intelligence · Computer Science 2012-07-09 Zhihong Cai , Manabu Kuroki

We introduce a new formal model -- based on the mathematical construct of sheaves -- for representing contradictory information in textual sources. This model has the advantage of letting us (a) identify the causes of the inconsistency; (b)…

Computation and Language · Computer Science 2018-01-30 Wlodek Zadrozny , Luciana Garbayo

The paper proposes summarized attribution-based post-hoc explanations for the detection and identification of bias in data. A global explanation is proposed, and a step-by-step framework on how to detect and test bias is introduced. Since…

Machine Learning · Computer Science 2020-10-26 Agnieszka Mikołajczyk , Michał Grochowski , Arkadiusz Kwasigroch

It is shown that polar coding schemes achieve the known achievable rate regions for several multi-terminal communications problems including lossy distributed source coding, multiple access channels and multiple descriptions coding. The…

Information Theory · Computer Science 2014-04-29 Aria G. Sahebi , S. Sandeep Pradhan

We look at non-classical negations and their corresponding adjustment connectives from a modal viewpoint, over complete distributive lattices, and apply a very general mechanism in order to offer adequate analytic proof systems to logics…

Logic in Computer Science · Computer Science 2016-06-24 Ori Lahav , João Marcos , Yoni Zohar

We introduce a real-space technique able to extend the standard Hopfield approach commonly used in quantum polaritonics to the case of inhomogeneous lossless materials interacting with the electromagnetic field. We derive the creation and…

Quantum Physics · Physics 2016-11-09 Christopher R. Gubbin , Stefan A. Maier , Simone De Liberato

Counterfactual explanations enhance interpretability by identifying alternative inputs that produce different outputs, offering localized insights into model decisions. However, traditional methods often neglect causal relationships,…

Machine Learning · Computer Science 2025-05-23 Pouria Fatemi , Ehsan Sharifian , Mohammad Hossein Yassaee

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

Explainable recommendation systems leverage transparent reasoning to foster user trust and improve decision-making processes. Current approaches typically decouple recommendation generation from explanation creation, violating causal…

Artificial Intelligence · Computer Science 2025-03-12 Guanrong Li , Haolin Yang , Xinyu Liu , Zhen Wu , Xinyu Dai

In this article we propose an extension to the typed natural deduction calculus TNDPQ to model verification of counterfactual fairness in probabilistic classifiers. This is obtained formulating specific structural conditions for causal…

Logic in Computer Science · Computer Science 2025-10-28 Leonardo Ceragioli , Giuseppe Primiero

A scheme is described that allows Alice to communicate to Bob where on earth she is, even though she doesn't know herself. The situation described shows how the generalization of a recent result of Gisin and Popescu [quant-ph/9901072] could…

Quantum Physics · Physics 2007-05-23 Terry Rudolph

The direct counterfactual quantum communication protocol involving double chained Mach-Zehnder interferometers requires a single photon input. Here, we show that even with multiphoton light sources, including a strong coherent light source…

Quantum Physics · Physics 2022-10-05 Zheng-Hong Li , Shang-Yue Feng , M. Al-Amri , M. Suhail Zubairy

Quantum mechanics allows operations to be in indefinite causal order. Recently there have been active discussions on enhanced communication strategies through exotic causal structures. In light of this, through the process matrix formalism,…

Quantum Physics · Physics 2021-04-21 Kaumudibikash Goswami , Fabio Costa

Counterfactual explanations are increasingly proposed as interpretable mechanisms to achieve algorithmic recourse. However, current counterfactual techniques for time series classification are predominantly designed with static data…

Machine Learning · Computer Science 2025-12-17 Emmanuel C. Chukwu , Rianne M. Schouten , Monique Tabak , Mykola Pechenizkiy

Counterfactual reasoning, a cornerstone of human cognition and decision-making, is often seen as the 'holy grail' of causal learning, with applications ranging from interpreting machine learning models to promoting algorithmic fairness.…

Machine Learning · Computer Science 2025-04-11 Yahya Aalaila , Gerrit Großmann , Sumantrak Mukherjee , Jonas Wahl , Sebastian Vollmer