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QLDT: A Decision Tree Based on Quantum Logic

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1652))

Abstract

Besides a good prediction a classifier is to give an explanation how input data is related to the classification result. Decision trees are very popular classifiers and provide a good trade-off between accuracy and explainability for many scenarios. Its split decisions correspond to Boolean conditions on single attributes. In cases when for a class decision several attribute values interact gradually with each other, Boolean-logic-based decision trees are not appropriate. For such cases we propose a quantum-logic inspired decision tree (QLDT) which is based on sums and products on normalized attribute values. In contrast to decision trees based on fuzzy logic a QLDT obeys the rules of the Boolean algebra.

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Notes

  1. 1.

    Of course, there exist classification problems for which the decision tree based on Boolean logic fits perfectly.

  2. 2.

    https://archive.ics.uci.edu/ml/datasets.php.

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Correspondence to Ingo Schmitt .

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Schmitt, I. (2022). QLDT: A Decision Tree Based on Quantum Logic. In: Chiusano, S., et al. New Trends in Database and Information Systems. ADBIS 2022. Communications in Computer and Information Science, vol 1652. Springer, Cham. https://doi.org/10.1007/978-3-031-15743-1_28

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  • DOI: https://doi.org/10.1007/978-3-031-15743-1_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-15742-4

  • Online ISBN: 978-3-031-15743-1

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