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arXiv 2409.04836stat.ME
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治疗效应模型中的空间干扰检测

Spatial Interference Detection in Treatment Effect Model

Wei Zhang, Ying Yang, Fang Yao

AI总结:

针对因果推断中干扰效应建模依赖显式同质性假设的问题,提出低秩稀疏治疗效应模型与剖面估计算法,构建全局检验和局部检测方法,推导理论保证并通过实验验证有效性。

摘要:

干扰效应建模是因果推断领域的重要问题。现有研究依赖于关于干扰结构的显式且通常是同质性的假设。本文提出一种低秩稀疏治疗效应模型,利用数据驱动技术识别干扰效应的位置。我们提出一种剖面估计算法来估计模型系数,并基于这些估计建立全局检验和局部检测方法,用于检测干扰的存在性以及每个单元的干扰邻居位置。我们推导了估计误差的非渐近界,并从Jaccard指数角度为全局检验和检测方法的准确性建立了理论保证。模拟实验和真实数据示例证明了所提方法的有效性。

英文摘要:

Modeling the interference effect is an important issue in the field of causal inference. Existing studies rely on explicit and often homogeneous assumptions regarding interference structures. In this paper, we introduce a low-rank and sparse treatment effect model that leverages data-driven techniques to identify the locations of interference effects. A profiling algorithm is proposed to estimate the model coefficients, and based on these estimates, global test and local detection methods are established to detect the existence of interference and the interference neighbor locations for each unit. We derive the non-asymptotic bound of the estimation error, and establish theoretical guarantees for the global test and the accuracy of the detection method in terms of Jaccard index. Simulations and real data examples are provided to demonstrate the usefulness of the proposed method.

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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