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arXiv 1907.02170cs.AIcs.LO
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论开放论域因果推理

On Open-Universe Causal Reasoning

Stanford University(斯坦福大学)

Duligur Ibeling, Thomas Icard

摘要:

我们将结构方程模型和模拟模型这两类因果模型推广到无穷变量空间。这使得语义的条件成立于演算的干预,和公理化的因果推理丰富,表达生成模型-包括那些因果表示只存在隐式-在一个开放的宇宙设置。此外,我们表明,在适当的限制下,这两种模型是等价的,也许令人惊讶的是,它们的公理化在一般情况下有很大的不同。我们给出了一系列完整的公理化,其中开放宇宙的设置性质被认为是必不可少的。

英文摘要:

We extend two kinds of causal models, structural equation models and simulation models, to infinite variable spaces. This enables a semantics for conditionals founded on a calculus of intervention, and axiomatization of causal reasoning for rich, expressive generative models -- including those in which a causal representation exists only implicitly -- in an open-universe setting. Further, we show that under suitable restrictions the two kinds of models are equivalent, perhaps surprisingly as their axiomatizations differ substantially in the general case. We give a series of complete axiomatizations in which the open-universe nature of the setting is seen to be essential.

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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