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Nonlinear Axiomatic Attribution for Cooperative Games

The Shapley value is a widely used concept in attribution problems, as it uniquely satisfies the axioms of linearity, consistency, equal treatment, and efficiency. Often, the inclusion AUC metric is used to evaluate the quality of player rankings, in order to identify positively participating players. However, it can be established that the Shapley value is not always reliable for this purpose. The core issue lies in its linearity: the Shapley value acts as a linear operator with an excessively large null space, which is likely to contain non-negligible perturbations that remain indistinguishable to the operator. To address this limitation, we explore the design of nonlinear axiomatic att...

AuthorsWeida Li, Zhuanghua Liu, Yaoliang Yu et al.
Primary categorycs.LG
Published10 July 2026
Last updated at source25 August 2026
cs.LG
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