arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.06138stat.MEmath.STstat.MLstat.TH
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反事实与个体处理效应的共形推理

Conformal Inference of Counterfactuals and Individual Treatment Effects

Lihua Lei, Emmanuel J. Candès

摘要:

评价处理效应异质性广泛地告知处理决策。目前,非常重视通过灵活的机器学习算法估计条件平均处理效应。虽然这些方法在一致性和收敛速度方面具有一定的理论吸引力,但它们在不确定性量化方面通常表现不佳。这令人不安,因为评估风险对于敏感和不确定环境中的可靠决策至关重要。在这项工作中,我们提出了一个共形推理为基础的方法,可以产生可靠的区间估计的反事实和个人处理效应下的潜在结果框架。对于完全随机化或分层随机化实验,无论未知的数据生成机制如何,区间都保证了有限样本的平均覆盖率。对于具有可验证依从性的随机化实验和服从强可验证性假设的一般观察性研究,区间满足双重稳健性质,其陈述如下:如果潜在结果的倾向得分或条件分位数可以准确估计,则平均覆盖率近似受控。对合成数据集和真实数据集的数值研究表明,即使在简单的模型中,现有方法也存在显著的覆盖不足。相比之下,我们的方法以合理的短间隔实现了所需的覆盖范围。

英文摘要:

Evaluating treatment effect heterogeneity widely informs treatment decision making. At the moment, much emphasis is placed on the estimation of the conditional average treatment effect via flexible machine learning algorithms. While these methods enjoy some theoretical appeal in terms of consistency and convergence rates, they generally perform poorly in terms of uncertainty quantification. This is troubling since assessing risk is crucial for reliable decision-making in sensitive and uncertain environments. In this work, we propose a conformal inference-based approach that can produce reliable interval estimates for counterfactuals and individual treatment effects under the potential outcome framework. For completely randomized or stratified randomized experiments with perfect compliance, the intervals have guaranteed average coverage in finite samples regardless of the unknown data generating mechanism. For randomized experiments with ignorable compliance and general observational studies obeying the strong ignorability assumption, the intervals satisfy a doubly robust property which states the following: the average coverage is approximately controlled if either the propensity score or the conditional quantiles of potential outcomes can be estimated accurately. Numerical studies on both synthetic and real datasets empirically demonstrate that existing methods suffer from a significant coverage deficit even in simple models. In contrast, our methods achieve the desired coverage with reasonably short intervals.

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