Shapley Values with Uncertain Value Functions

We propose a novel definition of Shapley values with uncertain value functions based on first principles using probability theory. Such uncertain value functions can arise in the context of explainable machine learning as a result of non-deterministic algorithms. We show that random effects can in fact be absorbed into a Shapley value with a noiseless but shifted value function. Hence, Shapley values with uncertain value functions can be used in analogy to regular Shapley values. However, their reliable evaluation typically requires more computational effort.

Informationen zur Zitierung

Heese, Raoul; Mücke, Sascha; Jakobs, Matthias; Gerlach, Thore; Piatkowski, Nico: Shapley Values with Uncertain Value Functions, Advances in Intelligent Data Analysis XXI. IDA 2023, 2023, https://link.springer.com/chapter/10.1007/978-3-031-30047-9_13, Heese.etal.2023a,

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Portrait of Matthias Jakobs.

Matthias Jakobs

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Portrait of Sascha Mücke.

Sascha Mücke

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Portrait of Thore Gerlach.

Thore Gerlach

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Photo. Portrait of Nico Piatkowski

Dr. Nico Piatkowski

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