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Explanation with the Winter Value: Efficient Computation for Hierarchical Choquet Integrals

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2021)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12897))

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Abstract

Multi-Criteria Decision Aiding arises in many industrial applications where the user needs an explanation of the recommendation. We consider in particular an explanation taking the form of a contribution level assigned to each variable. Decision models are often hierarchical, and the influence is computed by the Winter value, which is an extension of the Shapley value on trees. The contribution of the paper is to propose an exact algorithm to compute efficiently the Winter values for a very general class of decision models known as the Choquet integral. The main idea of our algorithm is to prune the combinatorial structure on which the Winter value is computed, based on upper and lower bounds of the utility on subtrees. Extensive simulations show that this new algorithm provides very significant computation gains compared to the state of the art.

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Notes

  1. 1.

    Feature Attribution consists in assessing the level of contribution of each feature in the prediction model for a particular instance [13, 26].

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Acknowledgments

This paper is supported by the European Union’s Horizon 2020 research and innovation programme under grant agreement No 825619. AI4EU Project.(\(^2\) https://www.ai4europe.eu/).

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Authors and Affiliations

  1. Thales Research and Technology, Palaiseau, France

    Christophe Labreuche

  2. SINCLAIR AI Lab, Palaiseau, France

    Christophe Labreuche

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  1. Christophe Labreuche
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Correspondence to Christophe Labreuche .

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Editors and Affiliations

  1. Institute of Information Theory and Automation, Prague, Czech Republic

    Jiřina Vejnarová

  2. Insight Centre for Data Analytics, School of Computer Science and IT University College Cork, Cork, Ireland

    Nic Wilson

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Labreuche, C. (2021). Explanation with the Winter Value: Efficient Computation for Hierarchical Choquet Integrals. In: Vejnarová, J., Wilson, N. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2021. Lecture Notes in Computer Science(), vol 12897. Springer, Cham. https://doi.org/10.1007/978-3-030-86772-0_34

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  • DOI: https://doi.org/10.1007/978-3-030-86772-0_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-86771-3

  • Online ISBN: 978-3-030-86772-0

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