On Using the Shapley Value for Anomaly Localization: A Statistical Investigation
Machine Learning
2026-05-15 v2 Signal Processing
Abstract
Recent publications have suggested using the Shapley value for anomaly localization for sensor data systems. Using a reasonable mathematical anomaly model for full control, experiments indicate that using a single fixed term in the Shapley value calculation achieves a lower complexity anomaly localization test, with the same probability of error, as a test using the Shapley value for all cases tested. A proof demonstrates these conclusions must be true for all independent observation cases. For dependent observation cases, no proof is available.
Cite
@article{arxiv.2507.21023,
title = {On Using the Shapley Value for Anomaly Localization: A Statistical Investigation},
author = {Xubin Fang and Rick S. Blum and Franziska Freytag},
journal= {arXiv preprint arXiv:2507.21023},
year = {2026}
}