arXiv:2507.18903stat.MLcs.LG2025-07

在有限数据下高效发现因果关系的新框架。

Probably Approximately Correct Causal Discovery

  • 基于资源约束提出概率近似正确因果发现框架
  • 为倾向性评分、工具变量等方法提供理论保证
  • 适用于数据受限场景,适合实际应用者

因果关系发现是人工智能、统计学、流行病学、经济学等领域的基础问题。尽管在无限数据下已有优雅的准确因果发现理论,但现实应用始终面临资源限制。从观测数据中推断因果关系的有效方法必须在有限数据和时间约束下表现良好,即达到高但非完美的准确性。受Valiant提出的“可能近似正确”(PAC)学习思想启发,本文提出“可能近似正确因果发现”(PACC)框架,将PAC学习原则拓展至因果领域。该框架强调计算与样本效率,适用于倾向性评分、工具变量等经典方法,并首次为广泛使用的自控病例系列(SCCS)方法提供了理论保障。

原文摘要 · Abstract (English)

The discovery of causal relationships is a foundational problem in artificial intelligence, statistics, epidemiology, economics, and beyond. While elegant theories exist for accurate causal discovery given infinite data, real-world applications are inherently resource-constrained. Effective methods for inferring causal relationships from observational data must perform well under finite data and time constraints, where "performing well" implies achieving high, though not perfect accuracy. In his seminal paper A Theory of the Learnable, Valiant highlighted the importance of resource constraints in supervised machine learning, introducing the concept of Probably Approximately Correct (PAC) learning as an alternative to exact learning. Inspired by Valiant's work, we propose the Probably Approximately Correct Causal (PACC) Discovery framework, which extends PAC learning principles to the causal field. This framework emphasizes both computational and sample efficiency for established causal methods such as propensity score techniques and instrumental variable approaches. Furthermore, we show that it can also provide theoretical guarantees for other widely used methods, such as the Self-Controlled Case Series (SCCS) method, which had previously lacked such guarantees.

因果发现理论保证资源约束

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