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Quantum Optimization Approach for Feature Selection in Machine Learning

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Metaheuristics (MIC 2024)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14753 ))

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Abstract

This is intended to be a technical companion presenting some achievements recently published about the usage of quantum algorithms for the selection of relevant features in a given data set. Based on the paradigm of machine learning, such methods use the concept of mutual information between pairs of observables and between observables and the inferred class, in the special case of a simple classification task. Those probabilistic quantities have been discussed a number of times in several works on information theory. Starting from the paper (Mücke et al., 2023), we provide some further inside about the technical details of their work, with an additional test done on a gate processor using the same binary quadratic approximation model.

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References

  • Van Der Maaten, L., Postma, E., Van den Herik, J., et al.: Dimensionality reduction: a comparative. J. Mach. Learn. Res. 10(66–71), 13 (2009)

    Google Scholar 

  • Mücke, S., Heese, R., Müller, S., Wolter, M., Piatkowski, N.: Feature selection on quantum computers. Quantum Physics (quant-ph); Machine Learning (2023). arXiv:2203.13261

  • Nguyen, X.V., Chan, J., Romano, S., Bailey, J.: Effective global approaches for mutual information based feature selection. In: Proceedings of the 20th AKM SIGKDD International Conference (2014). https://doi.org/10.1145/2623330.2623611

  • https://github.com/dwave-examples/mutual-information-feature-selection

  • Aharonov, D., van Dam, W., Kempe, J., Landau, Z., Lloyd, S., Regev, O.: Adiabatic quantum computation is equivalent to standard quantum computation. SIAM J. Comput. 37(1), 166–194 (2007). arXiv:quant-ph/0405098

  • Albash, T., Lidar, D.A.: Adiabatic quantum computing. Quantum Physics (quant-ph) (2018). arXiv:1611.04471 [quant-ph]

  • Hadfield, S., Wang, Z., O’Gorman, B., Rieffel, E.G., Venturelli, D., Biswas, R.: From the quantum approximate optimization algorithm to quantum alternating operator ansatz. Quantum Physics (quant-ph) (2019). arXiv:1709.03489

  • Farhi, E., Goldstone, J., Gutmann, S.: A quantum approximate optimization algorithm (2014). arXiv:1411.4028

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Authors have no conflict of interest and do not received financial support of both D-Wave and IBM.

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Correspondence to Philippe Lacomme .

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© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Fleury, G., Vulpescu, B., Lacomme, P. (2024). Quantum Optimization Approach for Feature Selection in Machine Learning. In: Sevaux, M., Olteanu, AL., Pardo, E.G., Sifaleras, A., Makboul, S. (eds) Metaheuristics. MIC 2024. Lecture Notes in Computer Science, vol 14753 . Springer, Cham. https://doi.org/10.1007/978-3-031-62912-9_27

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  • DOI: https://doi.org/10.1007/978-3-031-62912-9_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-62911-2

  • Online ISBN: 978-3-031-62912-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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