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With the increasing deployment of machine learning systems in practice, transparency and explainability have become serious issues. Contrastive explanations are considered to be useful and intuitive, in particular when it comes to…

Machine Learning · Computer Science 2021-01-05 André Artelt , Barbara Hammer

The probabilistic predictions of quantum theory are conventionally obtained from a special probabilistic axiom. But that is unnecessary because all the practical consequences of such predictions follow from the remaining, non-probabilistic,…

Quantum Physics · Physics 2009-10-31 David Deutsch

This paper presents a complete algorithmic study of the decision Boolean Satisfiability Problem under the classical computation and quantum computation theories. The paper depicts deterministic and probabilistic algorithms, propositions of…

Computational Complexity · Computer Science 2016-02-22 Carlos Barrón-Romero

In a recent work, authors prove a yet another no-go theorem that forbids the existence of a universal probabilistic quantum protocol producing a superposition of two unknown quantum states. In this short note, we show that in the presence…

Quantum Physics · Physics 2016-09-06 Sasha Sami , Indranil Chakrabarty

Recommender systems exemplify sequential decision-making under uncertainty, strategically deciding what content to serve to users, to optimise a range of potential objectives. To balance the explore-exploit trade-off successfully, Thompson…

Information Retrieval · Computer Science 2025-07-09 Olivier Jeunen

This paper introduces the concept of rational countefactuals which is an idea of identifying a counterfactual from the factual (whether perceived or real) that maximizes the attainment of the desired consequent. In counterfactual thinking…

Artificial Intelligence · Computer Science 2014-04-09 Tshilidzi Marwala

In this position paper we discuss three main shortcomings of existing approaches to counterfactual causality from the computer science perspective, and sketch lines of work to try and overcome these issues: (1) causality definitions should…

Logic in Computer Science · Computer Science 2017-10-11 Gregor Gössler , Oleg Sokolsky , Jean-Bernard Stefani

In the last couple of decades, the world has seen several stunning instances of quantum algorithms that provably outperform the best classical algorithms. For most problems, however, it is currently unknown whether quantum algorithms can…

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

Quantum backflow refers to the counterintuitive fact that the probability can flow in the direction opposite to the momentum of a quantum particle. This phenomenon has been seen to be small and fragile for one-dimensional systems, in which…

Quantum Physics · Physics 2025-03-04 Maximilien Barbier , Arseni Goussev , Shashi C. L. Srivastava

We propose a new interpretation of objective deterministic chances in statistical physics based on physical computational complexity. This notion applies to a single physical system (be it an experimental set--up in the lab, or a subsystem…

Quantum Physics · Physics 2013-03-20 Amit Hagar , Giuseppe Sergioli

Counterfactual reasoning plays a crucial role in exploring hypothetical scenarios, by comparing some consequent under conditions identical except as results from a differing antecedent. David Lewis' well-known analysis evaluates…

Quantum Physics · Physics 2026-04-14 Ingita Banerjee , Kiarn T. Laverick , Howard M. Wiseman

Counterfactual reasoning is pivotal in human cognition and especially important for providing explanations and making decisions. While Judea Pearl's influential approach is theoretically elegant, its generation of a counterfactual scenario…

Artificial Intelligence · Computer Science 2024-11-01 Guang-Yuan Hao , Jiji Zhang , Biwei Huang , Hao Wang , Kun Zhang

Quantum backflow is a counterintuitive effect in which the probability density of a free particle moves in the direction opposite to the particle's momentum. If the particle is electrically charged, then the effect can be viewed as the…

Quantum Physics · Physics 2024-03-05 Arseni Goussev , Jaewoo Joo

Counterfactual frameworks have grown popular in machine learning for both explaining algorithmic decisions but also defining individual notions of fairness, more intuitive than typical group fairness conditions. However, state-of-the-art…

Artificial Intelligence · Computer Science 2023-01-09 Lucas de Lara , Alberto González-Sanz , Nicholas Asher , Laurent Risser , Jean-Michel Loubes

Group counterfactual explanations find a set of counterfactual instances to explain a group of input instances contrastively. However, existing methods either (i) optimize counterfactuals only for a fixed group and do not generalize to new…

Machine Learning · Computer Science 2026-01-29 Enrique Valero-Leal , Bernd Bischl , Pedro Larrañaga , Concha Bielza , Giuseppe Casalicchio

Quantum self-interference enables the counterfactual transmission of information, whereby the transmitted bits involve no particles traveling through the channel. In this work, we show how counterfactuality can be realized even when the…

Quantum Physics · Physics 2023-10-18 Vinod N. Rao , Anindita Banerjee , R. Srikanth

The streams of research on adversarial examples and counterfactual explanations have largely been growing independently. This has led to several recent works trying to elucidate their similarities and differences. Most prominently, it has…

Machine Learning · Computer Science 2024-03-18 Tobias Leemann , Martin Pawelczyk , Bardh Prenkaj , Gjergji Kasneci

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

A method for computing probabilistic propositions is presented. It assumes the availability of a single external routine for computing the probability of one instantiated variable, given a conjunction of other instantiated variables. In…

Artificial Intelligence · Computer Science 2013-04-11 Gregory F. Cooper
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