arXiv:2603.20585cs.LGstat.ML2026-03

新方法可同时处理因果循环和测量噪声,提升真实数据的因果推断准确率。

RECLAIM: Cyclic Causal Discovery Amid Measurement Noise

  • 基于期望最大化算法,用残差归一化流计算观测数据似然,建模复杂因果结构。
  • 在合成数据和蛋白质信号真实数据上均优于现有方法,显著降低错误连接率。
  • 适合基因调控网络、生物信号通路等存在环状依赖与测量误差的研究场景。

揭示因果关系是科学与工程中的基础问题。然而,大多数现有因果发现方法假设因果图无环且能直接观测系统变量——这些假设在许多真实场景中不成立。例如,在基因组学中,环状调控网络普遍存在,且测量常受仪器噪声干扰。为此,我们提出RECLAIM,一种原生支持循环结构与测量噪声的因果发现框架。RECLAIM通过期望最大化(EM)算法,最大化观测数据的似然来学习因果图结构,并采用残差归一化流实现高效的似然计算。我们考虑两种测量模型:(i) 高斯加性噪声;(ii) 线性测量系统加高斯噪声。针对两种设定,我们提供了理论一致性保证。在合成数据与真实世界蛋白质信号数据集上的实验表明,该方法具有优异性能。

原文摘要 · Abstract (English)

Uncovering causal relationships is a fundamental problem across science and engineering. However, most existing causal discovery methods assume acyclicity and direct access to the system variables -- assumptions that fail to hold in many real-world settings. For instance, in genomics, cyclic regulatory networks are common, and measurements are often corrupted by instrumental noise. To address these challenges, we propose RECLAIM, a causal discovery framework that natively handles both cycles and measurement noise. RECLAIM learns the causal graph structure by maximizing the likelihood of the observed measurements via expectation-maximization (EM), using residual normalizing flows for tractable likelihood computation. We consider two measurement models: (i) Gaussian additive noise, and (ii) a linear measurement system with additive Gaussian noise. We provide theoretical consistency guarantees for both the settings. Experiments on synthetic data and real-world protein signaling datasets demonstrate the efficacy of the proposed method.

因果发现循环结构测量噪声基因网络

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