RT Journal Article T1 On the influence of dependent features in classification problems: A game-theoretic perspective A1 Davila Pena, Laura A1 Casas Méndez, Balbina A1 Saavedra Nieves, Alejandro K1 Classification problems K1 Influence measure of features K1 Dependent features K1 Axiomatic characterization K1 Banzhaf-Owen value AB This paper deals with a new measure of the influence of each feature on the outcome in classification problems, accounting for potential dependencies among certain feature subsets. Within this framework, we consider a sample of individuals characterized by specific features, each feature encompassing a finite range of values, and classified based on a binary outcome. This measure turns out to be an influence measure explored in existing literature and related to cooperative game theory. We provide an axiomatic characterization of our proposed influence measure by tailoring properties from the cooperative game theory to our specific context. Furthermore, we demonstrate that our influence measure becomes a general characterization of the well-known Banzhaf-Owen value for games with a priori unions, from the perspective of classification problems. The definitions and results presented herein are illustrated through numerical examples and various applications, offering practical insights into our methodologies. PB Elsevier SN 1873-6793 YR 2025 FD 2025 LK https://hdl.handle.net/10347/44480 UL https://hdl.handle.net/10347/44480 LA eng NO Expert Systems with Applications Volume 280, 25 June 2025, 127446 NO This work is part of the R+D+I project PID2021-124030NB-C32, granted by MICIU/AEI/10.13039/501100011033/, Spain and by “ERDF A way of making Europe”/EU. This research was also funded by Grupos de Referencia Competitiva ED431C 2021/24 from the Consellería de Cultura, Educación e Universidades, Xunta de Galicia, Spain DS Minerva RD 28 abr 2026