The Frugal Inference of Causal Relations

The Frugal Inference of Causal Relations
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因果关系的节俭推理

DOI:
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发表时间:
2018
影响因子:
3.4
通讯作者:
Naftali Weinberger
Naftali Weinberger
中科院分区:
人文科学1区
文献类型:
--
作者:
M. Forster;Garvesh Raskutti;Reuben Stern;Naftali Weinberger

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最近的因果建模方法依赖于因果马尔可夫条件,该条件指定哪些概率分布与有向无环图(DAG)兼容。为了在与给定概率分布兼容的大量 DAG 中进行选择,需要进一步的原则。在这里,我们提出一个我们称之为节俭的原则。这一原则告诉人们选择因果箭头最少的 DAG。我们认为,与已经提出的其他原则相比,节俭具有几个理想的特性,包括众所周知的因果忠诚条件。 1 简介 2 因果马尔可夫条件 3 忠实 4 节俭   4.1 基本独立性和节俭   4.2 满足节俭的有向无环图的一般性质   4.3 与极简假设的联系 5 节俭作为简约性原理6 结论 附录1 简介2 因果马尔可夫条件3 忠实4 节俭  4.1 基本独立性和节俭  4.2 有向无环图的一般性质 满足节俭性   4.3 与最小性假设的联系   4.1 基本独立性和节俭性   4.2 满足节俭性的有向无环图的一般性质   4.3 与最小性假设的联系 5 节俭作为简约原则 6 结论 附录
Recent approaches to causal modelling rely upon the causal Markov condition, which specifies which probability distributions are compatible with a directed acyclic graph (DAG). Further principles are required in order to choose among the large number of DAGs compatible with a given probability distribution. Here we present a principle that we call frugality. This principle tells one to choose the DAG with the fewest causal arrows. We argue that frugality has several desirable properties compared to the other principles that have been suggested, including the well-known causal faithfulness condition. 1 Introduction 2 The Causal Markov Condition 3 Faithfulness 4 Frugality   4.1 Basic independences and frugality   4.2 General properties of directed acyclic graphs satisfying frugality   4.3 Connection to minimality assumptions 5 Frugality as a Parsimony Principle 6 Conclusion  Appendix 1 Introduction 2 The Causal Markov Condition 3 Faithfulness 4 Frugality   4.1 Basic independences and frugality   4.2 General properties of directed acyclic graphs satisfying frugality   4.3 Connection to minimality assumptions   4.1 Basic independences and frugality   4.2 General properties of directed acyclic graphs satisfying frugality   4.3 Connection to minimality assumptions 5 Frugality as a Parsimony Principle 6 Conclusion  Appendix
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发表时间: 2014-07
影响因子: 10.5
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