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Assessment of the influence of features on a classification problem: An application to COVID-19 patients

•We provide a measure to evaluate features’ influences on a classification problem.•Our influence measure is based on the Shapley value for cooperative games.•Machine learning is employed to compute our influence measure.•Efficiency and balanced contributions properties are used to justify our measu...

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Bibliographic Details
Published in:European journal of operational research 2022-06, Vol.299 (2), p.631-641
Main Authors: Davila-Pena, Laura, García-Jurado, Ignacio, Casas-Méndez, Balbina
Format: Article
Language:English
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Summary:•We provide a measure to evaluate features’ influences on a classification problem.•Our influence measure is based on the Shapley value for cooperative games.•Machine learning is employed to compute our influence measure.•Efficiency and balanced contributions properties are used to justify our measure.•We apply our influence measure to a dataset of COVID-19 patients from Spain. This paper deals with an important subject in classification problems addressed by machine learning techniques: the evaluation of the influence of each of the features on the classification of individuals. Specifically, a measure of that influence is introduced using the Shapley value of cooperative games. In addition, an axiomatic characterisation of the proposed measure is provided based on properties of efficiency and balanced contributions. Furthermore, some experiments have been designed in order to validate the appropriate performance of such measure. Finally, the methodology introduced is applied to a sample of COVID-19 patients to study the influence of certain demographic or risk factors on various events of interest related to the evolution of the disease.
ISSN:0377-2217
1872-6860
0377-2217
DOI:10.1016/j.ejor.2021.09.027