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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
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)
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
Author information
Authors and Affiliations
Contributions
Disclosure of Interests.
Authors have no conflict of interest and do not received financial support of both D-Wave and IBM.
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-031-62912-9_27
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-62911-2
Online ISBN: 978-3-031-62912-9
eBook Packages: Computer ScienceComputer Science (R0)