The problem of selecting an appropriate number of features in supervised learning problems is investigated in this paper. Starting with common methods in machine learning, we treat the feature selection task as a quadratic unconstrained optimization problem (QUBO), which can be tackled with classical numerical methods as well as within a quantum computing framework. We compare the different results in small-sized problem setups. According to the results of our study, whether the QUBO method outperforms other feature selection methods depends on the data set. In an extension to a larger data set with 27 features, we compare the convergence behavior of the QUBO methods via quantum computing with classical stochastic optimization methods. Due to persisting error rates, the classical stochastic optimization methods are still superior.
@article{arxiv.2306.10591,
title = {Quantum computer based Feature Selection in Machine Learning},
author = {Gerhard Hellstern and Vanessa Dehn and Martin Zaefferer},
journal= {arXiv preprint arXiv:2306.10591},
year = {2023}
}