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arXiv 2005.11528stat.MEstat.ML
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在存在隐藏混杂因素的情况下从单变量干预中学习联合非线性效应

Learning Joint Nonlinear Effects from Single-variable Interventions in the Presence of Hidden Confounders

Sorawit Saengkyongam, Ricardo Silva

摘要:

我们提出了一种方法来估计多个同时进行的干预措施中存在的隐藏的混杂因素的影响。为了克服隐藏混杂的问题,我们考虑的设置,我们不仅可以访问的观察数据,但也设置单变量干预,其中每个治疗变量分别干预。我们证明了可识别性的假设下,数据是从一个非线性连续结构因果模型加性高斯噪声。此外,我们提出了一个简单的参数估计方法,通过汇集所有的数据从不同的制度和联合最大化的组合似然。我们还进行了全面的实验,以验证可识别性的结果,以及比较我们的方法对合成和真实世界的数据的基线的性能。

英文摘要:

We propose an approach to estimate the effect of multiple simultaneous interventions in the presence of hidden confounders. To overcome the problem of hidden confounding, we consider the setting where we have access to not only the observational data but also sets of single-variable interventions in which each of the treatment variables is intervened on separately. We prove identifiability under the assumption that the data is generated from a nonlinear continuous structural causal model with additive Gaussian noise. In addition, we propose a simple parameter estimation method by pooling all the data from different regimes and jointly maximizing the combined likelihood. We also conduct comprehensive experiments to verify the identifiability result as well as to compare the performance of our approach against a baseline on both synthetic and real-world data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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