SIM-Shapley: A Stable and Computationally Efficient Approach to Shapley Value Approximation

Fuente: arXiv
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Autori principali: Fan, Wangxuan, Li, Siqi, Zhou, Doudou, Okada, Yohei, Hong, Chuan, Liu, Molei, Liu, Nan
Natura: Preprint
Pubblicazione: 2025
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author Fan, Wangxuan
Li, Siqi
Zhou, Doudou
Okada, Yohei
Hong, Chuan
Liu, Molei
Liu, Nan
author_facet Fan, Wangxuan
Li, Siqi
Zhou, Doudou
Okada, Yohei
Hong, Chuan
Liu, Molei
Liu, Nan
contents Explainable artificial intelligence (XAI) is essential for trustworthy machine learning (ML), particularly in high-stakes domains such as healthcare and finance. Shapley value (SV) methods provide a principled framework for feature attribution in complex models but incur high computational costs, limiting their scalability in high-dimensional settings. We propose Stochastic Iterative Momentum for Shapley Value Approximation (SIM-Shapley), a stable and efficient SV approximation method inspired by stochastic optimization. We analyze variance theoretically, prove linear $Q$-convergence, and demonstrate improved empirical stability and low bias in practice on real-world datasets. In our numerical experiments, SIM-Shapley reduces computation time by up to 85% relative to state-of-the-art baselines while maintaining comparable feature attribution quality. Beyond feature attribution, our stochastic mini-batch iterative framework extends naturally to a broader class of sample average approximation problems, offering a new avenue for improving computational efficiency with stability guarantees. Code is publicly available at https://github.com/nliulab/SIM-Shapley.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08198
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle SIM-Shapley: A Stable and Computationally Efficient Approach to Shapley Value Approximation
Fan, Wangxuan
Li, Siqi
Zhou, Doudou
Okada, Yohei
Hong, Chuan
Liu, Molei
Liu, Nan
Machine Learning
Explainable artificial intelligence (XAI) is essential for trustworthy machine learning (ML), particularly in high-stakes domains such as healthcare and finance. Shapley value (SV) methods provide a principled framework for feature attribution in complex models but incur high computational costs, limiting their scalability in high-dimensional settings. We propose Stochastic Iterative Momentum for Shapley Value Approximation (SIM-Shapley), a stable and efficient SV approximation method inspired by stochastic optimization. We analyze variance theoretically, prove linear $Q$-convergence, and demonstrate improved empirical stability and low bias in practice on real-world datasets. In our numerical experiments, SIM-Shapley reduces computation time by up to 85% relative to state-of-the-art baselines while maintaining comparable feature attribution quality. Beyond feature attribution, our stochastic mini-batch iterative framework extends naturally to a broader class of sample average approximation problems, offering a new avenue for improving computational efficiency with stability guarantees. Code is publicly available at https://github.com/nliulab/SIM-Shapley.
title SIM-Shapley: A Stable and Computationally Efficient Approach to Shapley Value Approximation
topic Machine Learning
url https://arxiv.org/abs/2505.08198