A cautionary tale of entropic criteria in assessing the validity of the maximum entropy principle

A cautionary tale of entropic criteria in assessing the validity of the maximum entropy principle
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评估最大熵原理有效性的熵标准的警示故事

DOI:
10.1209/0295-5075/126/38005
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发表时间:
2019-05-01
期刊:
EPL
影响因子:
1.8
通讯作者:
Cai,David
Cai,David
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Xu,Zhi-Qin John;Xu,Fang;Cai,David

文献摘要

相似文献

最大熵原理(MEP)已被应用于研究物理学和其他学科中平衡和非平衡系统的各种问题。通过对数值和实验数据的分析,我们证明了广泛使用的熵标准,MEP的有效性评估,可能是误导性指标,因为它们往往不能反映观察到的和MEP预测的统计分布之间的重要差异。我们的工作证明了高阶统计结构的重要性,不能被熵标准捕获,并提供了一个警示的故事,过度解释的结果MEP。本文献给大卫。
The maximum entropy principle (MEP) has been applied to study various problems in equilibrium and nonequilibrium systems in physics and other disciplines. Through analyses of numerical and experimental data, we demonstrate that the widely used entropic criteria, an assessment of the validity of MEP, can be misleading indexes as they can often fail to reflect the important difference between the observed and the MEP predicted statistical distribution. Our work demonstrates the importance of high-order statistical structures that cannot be captured by the entropic criteria and provides a cautionary tale of over-interpretation of results of MEP. This paper is dedicated to David Cai.