Network information and connected correlations

Network information and connected correlations
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DOI:
10.1103/physrevlett.91.238701
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发表时间:
2003-12-05
影响因子:
8.6
通讯作者:
Bialek, W
Bialek, W
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Schneidman, E;Still, S;Bialek, W

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熵和信息提供了网络中元素之间相关性的自然度量。我们在这里构建了连接相关函数的信息论模拟:不可约N点相关性是通过N个变量的联合分布相对于所有观察到的N-1个变量分布所允许的最大熵的熵减少来测量的。我们计算的“连接信息”的条款的几个例子,并表明,它也使分解的信息,是由人口的元素有关的外部来源。
Entropy and information provide natural measures of correlation among elements in a network. We construct here the information theoretic analog of connected correlation functions: irreducible N-point correlation is measured by a decrease in entropy for the joint distribution of N variables relative to the maximum entropy allowed by all the observed N-1 variable distributions. We calculate the "connected information" terms for several examples and show that it also enables the decomposition of the information that is carried by a population of elements about an outside source.