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Probabilistic reasoning as quadratic unconstrained binary optimization

Published: 19 July 2022 Publication History

Abstract

Probabilistic reasoning is an important tool for using uncertainty in AI, especially for automated reasoning. Partial probability assessments are a way of expressing partial probabilistic knowledge on a set of events. These assessments contain only the information about "interesting" events (hence it can be easily assessed by an expert). On the other hand, partial assessments can cause consistency problems. In this paper we show how to formulate the main tasks of probabilistic reasoning on partial probability assessments, namely check of coherence, correction, and inference, as QUBO problems. This transformation allows to solve these problems with a quantum or a digital annealer and thus providing new computational methods to perform these tasks.

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Cited By

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  • (2023)Solving Scheduling Problems with Quantum Computing: a Study on Flexible Open ShopProceedings of the Companion Conference on Genetic and Evolutionary Computation10.1145/3583133.3596420(2175-2178)Online publication date: 15-Jul-2023
  • (2022)Abstract Argumentation Goes Quantum: An Encoding to QUBO ProblemsPRICAI 2022: Trends in Artificial Intelligence10.1007/978-3-031-20862-1_4(46-60)Online publication date: 10-Nov-2022

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cover image ACM Conferences
GECCO '22: Proceedings of the Genetic and Evolutionary Computation Conference Companion
July 2022
2395 pages
ISBN:9781450392686
DOI:10.1145/3520304
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 19 July 2022

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View all
  • (2023)Solving Scheduling Problems with Quantum Computing: a Study on Flexible Open ShopProceedings of the Companion Conference on Genetic and Evolutionary Computation10.1145/3583133.3596420(2175-2178)Online publication date: 15-Jul-2023
  • (2022)Abstract Argumentation Goes Quantum: An Encoding to QUBO ProblemsPRICAI 2022: Trends in Artificial Intelligence10.1007/978-3-031-20862-1_4(46-60)Online publication date: 10-Nov-2022

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