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arXiv 1202.3735cs.LGstat.ML
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具有潜在混杂的Noisy-OR模型

Noisy-OR Models with Latent Confounding

HIIT(赫尔辛基信息技术研究所);University of Helsinki(赫尔辛基大学);Washington University in St. Louis(圣路易斯华盛顿大学)

Antti Hyttinen, Frederick Eberhardt, Patrik O. Hoyer

摘要:

给定一组实验,其中观察到的变量的不同子集进行干预,我们考虑问题的因果模型表现出潜在的混淆的可识别性。虽然当每个实验都干预大量变量时,可识别性是微不足道的,但当每个实验只有一个或几个变量受到干预时,情况就更加复杂了。对于具有潜在变量的线性因果模型,Hyttinen等人(2010)给出了这些数据足以识别完整模型的精确条件。虽然他们的结果不能扩展到任意因果关系的离散值变量,我们表明,可以得到类似的结果的因果模型的条件概率分布被限制到一个“噪声或”参数化类。我们进一步表明,识别下的模型,允许负面影响的扩展,并提出学习算法,我们测试的准确性,可扩展性和鲁棒性。

英文摘要:

Given a set of experiments in which varying subsets of observed variables are subject to intervention, we consider the problem of identifiability of causal models exhibiting latent confounding. While identifiability is trivial when each experiment intervenes on a large number of variables, the situation is more complicated when only one or a few variables are subject to intervention per experiment. For linear causal models with latent variables Hyttinen et al. (2010) gave precise conditions for when such data are sufficient to identify the full model. While their result cannot be extended to discrete-valued variables with arbitrary cause-effect relationships, we show that a similar result can be obtained for the class of causal models whose conditional probability distributions are restricted to a `noisy-OR' parameterization. We further show that identification is preserved under an extension of the model that allows for negative influences, and present learning algorithms that we test for accuracy, scalability and robustness.

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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