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arXiv 2605.08034stat.MLcs.LG

半参数高效检验可解释分布治疗效应

Semiparametric Efficient Test for Interpretable Distributional Treatment Effects

Gatsby Computational Neuroscience Unit, University College London(Gatsby计算神经科学单位,伦敦大学学院)

Houssam Zenati, Arthur Gretton

AI总结:

本文提出DR-ME,首个半参数高效有限位置检验,用于检测可解释的分布治疗效应差异,通过局部测试和样本分割实现高功效和低误差。

摘要:

分布治疗效应可能对均值不可见:治疗可能保持平均结果而改变尾部、模式、分散度或稀有事件概率。核检验可检测干预结果定律的差异,但全局检验无法揭示差异位置。本文提出DR-ME,首个半参数高效有限位置检验,评估干预核见证器在学习结果位置处的值,返回因果差异坐标而非仅全局拒绝。从观测数据中推导正交双稳健核特征,其中心 oracle 形式是该有限见证器的 canonical gradient。对于固定位置,我们刻画局部检验极限:DR-ME 在原假设下为卡方校准,具有非中心卡方局部功效,并使用协方差白化以优化通过选定坐标可见的差异信号噪声比。此高效局部功效几何学产生一个原则性的位置学习准则,样本分割保持后选择有效性。实验显示近名义I型误差,与全局双稳健核检验竞争性功效,并在半合成医学影像研究中获得可解释的学习位置,局部化分布效应。

英文摘要:

Distributional treatment effects can be invisible to means: a treatment may preserve average outcomes while changing tails, modes, dispersion, or rare-event probabilities. Kernel tests can detect discrepancies between interventional outcome laws, but global tests do not reveal where the laws differ. We propose DR-ME, to our knowledge the first semiparametrically efficient finite-location test for interpretable distributional treatment effects. DR-ME evaluates an interventional kernel witness at learned outcome locations, returning causal-discrepancy coordinates rather than only a global rejection. From observational data, we derive orthogonal doubly robust kernel features whose centered oracle form is the canonical gradient of this finite witness. For fixed locations, we characterize the local testing limit: DR-ME is chi-square calibrated under the null, has noncentral chi-square local power, and uses the covariance whitening that optimizes local signal-to-noise for discrepancies visible through the selected coordinates. This efficient local-power geometry yields a principled location-learning criterion, with sample splitting preserving post-selection validity. Experiments show near-nominal type-I error, competitive power against global doubly robust kernel tests, and interpretable learned locations that localize distributional effects in a semi-synthetic medical-imaging study.

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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