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Physica A Statistical Mechanics and its Applications

Quantum k -fold cross-validation for nearest neighbor classification algorithm

Jing Li, Fei Gao, Song Lin, Mingchao Guo, Yongmei Li, Hailing Liu, Su‐Juan Qin, Qiaoyan Wen

Published Dec 30, 2022• 33 citations
Publisher
DOI
10.1016/j.physa.2022.128435

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Cross-validation is one of the important tools in machine learning, which is generally used for performance evaluation. It uses different portions of the data to test and train a model on different iterations, which leads to a high computational cost. In this paper, we present a quantum version of k-fold cross-validation to choose a good parameter for the nearest neighbor classification algorithm with a threshold t, where the classification performance is estimated efficiently. With the help of amplitude amplification and estimation, the proposed quantum algorithm achieves a polynomial speedup on the number of samples over its classical counterpart.

•Jan 1, 2023•0 citations
Cross-validation is one of the important tools in machine learning, which is generally used for performance evaluation. It uses different portions of the data to test and train a model on different iterations, which leads to a high computational cost. In this paper, we present a quantum version of k-fold cross-validation to choose a good parameter for the nearest neighbor classification algorithm with a threshold t, where the classification performance is estimated efficiently. With the help of amplitude amplification and estimation, the proposed quantum algorithm achieves a polynomial speedup on the number of samples over its classical counterpart.