arXiv:2510.26342cs.LGcs.AI2025-10

用不等式约束提升因果发现准确率,让模型更可信。

Linear Causal Discovery with Interventional Constraints

  • 用不等式约束总因果效应,避免错误推断
  • 在真实数据集上提升模型准确率与一致性
  • 适合需要可解释因果模型的科研与医疗场景

将因果知识融入模型对改进因果发现和下游任务(如新疗法设计)至关重要。本文提出一种新型因果发现概念——干预约束,区别于直接干预数据。干预约束以变量间因果效应的不等式形式编码高层因果知识。例如,在Sachs数据集中,已知PIP3对Akt具有正向激活作用,即存在正向因果效应。现有方法虽可施加结构约束(如要求从PIP3到Akt存在因果路径),但仍可能得出错误结论,如“PIP3抑制Akt”。干预约束通过显式限制变量对间的总因果效应,确保学习模型符合已知因果关系。为此,我们为线性因果模型定义了量化总因果效应的度量,并将问题建模为带约束的优化任务,采用两阶段约束优化求解。在真实数据集上的实验表明,引入干预约束不仅能提高模型准确率并保持与已有研究一致,增强可解释性,还能发现原本成本高昂才可识别的新因果关系。

原文摘要 · Abstract (English)

Incorporating causal knowledge and mechanisms is essential for refining causal models and improving downstream tasks such as designing new treatments. In this paper, we introduce a novel concept in causal discovery, termed interventional constraints, which differs fundamentally from interventional data. While interventional data require direct perturbations of variables, interventional constraints encode high-level causal knowledge in the form of inequality constraints on causal effects. For instance, in the Sachs dataset (Sachs et al.\ 2005), Akt has been shown to be activated by PIP3, meaning PIP3 exerts a positive causal effect on Akt. Existing causal discovery methods allow enforcing structural constraints (for example, requiring a causal path from PIP3 to Akt), but they may still produce incorrect causal conclusions such as learning that "PIP3 inhibits Akt". Interventional constraints bridge this gap by explicitly constraining the total causal effect between variable pairs, ensuring learned models respect known causal influences. To formalize interventional constraints, we propose a metric to quantify total causal effects for linear causal models and formulate the problem as a constrained optimization task, solved using a two-stage constrained optimization method. We evaluate our approach on real-world datasets and demonstrate that integrating interventional constraints not only improves model accuracy and ensures consistency with established findings, making models more explainable, but also facilitates the discovery of new causal relationships that would otherwise be costly to identify.

因果发现干预约束线性模型可解释性

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