arXiv:2602.04611stat.MLcs.LG2026-02

提出新方法提升单处理单元因果推断的准确性与稳定性。

Targeted Synthetic Control Method

  • 两阶段估计:先用机器学习得初始权重,再通过靶向更新降低偏差。
  • 生成凸组合的反事实结果,确保权重可解释且不发散。
  • 适用于多种模型,实测比现有方法更准更稳,适合政策评估场景。

合成控制法(SCM)通过加权未处理单位构建反事实结果,以估计面板数据中单个处理单元的因果效应。本文提出靶向合成控制(TSC)方法,一种新型两阶段估计器,直接估计反事实结果。TSC(1)生成靶向去偏估计量,通过权重调整使权重更稳定;(2)保证最终反事实估计为观测控制结果的凸组合,便于解释合成权重。TSC具有灵活性,可结合任意机器学习模型。其方法论始于一维靶向更新,通过权重倾斜子模型校准初始权重,减少预处理拟合带来的权重估计偏差。此外,TSC避免了现有方法(如增广型SCM)可能产生无界反事实估计的缺陷。在大量合成与真实世界实验中,TSC始终优于当前最优的SCM基线,显著提升估计精度。

原文摘要 · Abstract (English)

The synthetic control method (SCM) estimates causal effects in panel data with a single-treated unit by constructing a counterfactual outcome as a weighted combination of untreated control units that matches the pre-treatment trajectory. In this paper, we introduce the targeted synthetic control (TSC) method, a new two-stage estimator that directly estimates the counterfactual outcome. Specifically, our TSC method (1) yields a targeted debiasing estimator, in the sense that the targeted updating refines the initial weights to produce more stable weights; and (2) ensures that the final counterfactual estimation is a convex combination of observed control outcomes to enable direct interpretation of the synthetic control weights. TSC is flexible and can be instantiated with arbitrary machine learning models. Methodologically, TSC starts from an initial set of synthetic-control weights via a one-dimensional targeted update through the weight-tilting submodel, which calibrates the weights to reduce bias of weights estimation arising from pre-treatment fit. Furthermore, TSC avoids key shortcomings of existing methods (e.g., the augmented SCM), which can produce unbounded counterfactual estimates. Across extensive synthetic and real-world experiments, TSC consistently improves estimation accuracy over state-of-the-art SCM baselines.

因果推断合成控制机器学习

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