摘要翻译:
在现实生活的统计数据中,给出原因的结果的条件概率似乎比给出结果的原因的条件概率更不复杂和平稳。我们最近提出并测试了
机器学习中因果推理的方法,使用了这一原理的形式化。在这里,我们试图为基于奥卡姆剃刀的“因果不对称”解释的因果推理方法提供一些理论依据。为此,我们从经典和量子物理以及计算机科学的复杂性的各个方面讨论因果关系的玩具模型。我们认为因果之间统计依赖关系的这种不对称有热力学根源。本质的联系是环境提供独立的背景噪声的趋势,这些噪声是由物理系统实现的,这些物理系统最初与所考虑的系统无关,而不是最终无关。这种联系将有关赖兴巴赫的共同原因原理的文献中的思想延伸到第二定律。
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英文标题:
《On causally asymmetric versions of Occam's Razor and their relation to
thermodynamics》
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作者:
Dominik Janzing
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最新提交年份:
2009
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Other Condensed Matter 其他凝聚态物质
分类描述:Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类:Physics 物理学
二级分类:Quantum Physics 量子物理学
分类描述:Description coming soon
描述即将到来
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英文摘要:
In real-life statistical data, it seems that conditional probabilities for the effect given their causes tend to be less complex and smoother than conditionals for causes, given their effects. We have recently proposed and tested methods for causal inference in machine learning using a formalization of this principle. Here we try to provide some theoretical justification for causal inference methods based upon such a ``causally asymmetric'' interpretation of Occam's Razor. To this end, we discuss toy models of cause-effect relations from classical and quantum physics as well as computer science in the context of various aspects of complexity. We argue that this asymmetry of the statistical dependences between cause and effect has a thermodynamic origin. The essential link is the tendency of the environment to provide independent background noise realized by physical systems that are initially uncorrelated with the system under consideration rather than being finally uncorrelated. This link extends ideas from the literature relating Reichenbach's principle of the common cause to the second law.
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PDF链接:
https://arxiv.org/pdf/708.3411