arXiv:2505.12801stat.MLcs.LG2025-05

无需因果图,用贝叶斯方法找可迁移的因果效应估计集。

Transportability without Graphs: A Bayesian Approach to Identifying s-Admissible Backdoor Sets

  • 将迁移性问题转为特征选择,基于边际似然筛选条件集。
  • 在目标结果的马尔可夫边界内总能找到s-可适配后门集。
  • 适合临床等缺乏因果图的真实场景,提升跨人群因果推断精度。

跨人群转移因果知识是临床决策中的关键挑战。传统因果建模依赖因果图来判断可识别性和可迁移性,但现实中往往无法获得。本文提出一种贝叶斯方法,结合目标域的观察数据与另一域的实验数据,识别s-可适配后门集,实现跨人群无偏因果效应估计,且无需因果图。我们证明:若存在此类集合,则必存在于结果变量的马尔可夫边界内,从而缩小搜索空间;并建立了该方法的渐近收敛性保证。进一步设计了一种贪心算法,将运输性问题转化为特征选择任务,通过最大化实验数据给定观察数据的边际似然来选择条件集。在模拟与半合成数据上,本方法能准确识别迁移偏差,改善因果效应估计,性能优于现有方法。

原文摘要 · Abstract (English)

Transporting causal information across populations is a critical challenge in clinical decision-making. Causal modeling provides criteria for identifiability and transportability, but these require knowledge of the causal graph, which rarely holds in practice. We propose a Bayesian method that combines observational data from the target domain with experimental data from a different domain to identify s-admissible backdoor sets, which enable unbiased estimation of causal effects across populations, without requiring the causal graph. We prove that if such a set exists, we can always find one within the Markov boundary of the outcome, narrowing the search space, and we establish asymptotic convergence guarantees for our method. We develop a greedy algorithm that reframes transportability as a feature selection problem, selecting conditioning sets that maximize the marginal likelihood of experimental data given observational data. In simulated and semi-synthetic data, our method correctly identifies transportability bias, improves causal effect estimation, and performs favorably against alternatives.

因果推断贝叶斯方法迁移学习后门调整

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