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arXiv 2306.02071cs.AIcs.GTstat.COstat.ML
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DU-Shapley:一种高效数据集评估的Shapley值代理

DU-Shapley: A Shapley Value Proxy for Efficient Dataset Valuation

Inria(法国国家信息与自动化研究所);Fairplay joint team(Fairplay联合团队);Criteo AI Lab(Criteo人工智能实验室);ENSAE(法国国立统计与经济管理学校)

Felipe Garrido-Lucero, Benjamin Heymann, Maxime Vono, Patrick Loiseau, Vianney Perchet

AI总结:

针对数据集评估问题,本文提出离散均匀Shapley(DU-Shapley)近似方法,利用问题结构设计高效估计器,并给出理论保证与实验验证。

摘要:

我们考虑数据集评估问题,即量化将单个数据集聚合到其他数据集时,对机器学习任务的某个相关预定义效用的增量增益的问题。Shapley值因其形式化的公理化论证而成为执行数据集评估的自然工具,可与蒙特卡洛积分结合以克服计算可处理性的挑战。然而,这种通用近似方法在某些情况下仍然昂贵。在本文中,我们利用关于数据集评估问题结构的先验知识来设计更高效的Shapley值估计器。我们提出了一种新的近似方法,称为离散均匀Shapley,它表示为在具有合理大小支撑的离散均匀分布下的期望。我们通过渐近和非渐近的理论保证证明了所提出框架的相关性,并通过大量的数值实验说明了其优势。

英文摘要:

We consider the dataset valuation problem, that is, the problem of quantifying the incremental gain, to some relevant pre-defined utility of a machine learning task, of aggregating an individual dataset to others. The Shapley value is a natural tool to perform dataset valuation due to its formal axiomatic justification, which can be combined with Monte Carlo integration to overcome the computational tractability challenges. Such generic approximation methods, however, remain expensive in some cases. In this paper, we exploit the knowledge about the structure of the dataset valuation problem to devise more efficient Shapley value estimators. We propose a novel approximation, referred to as discrete uniform Shapley, which is expressed as an expectation under a discrete uniform distribution with support of reasonable size. We justify the relevancy of the proposed framework via asymptotic and non-asymptotic theoretical guarantees and illustrate its benefits via an extensive set of numerical experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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