聖塔非研究所

摘要 To comprehend the hierarchical organization of la

2011 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 To comprehend the hierarchical organization of large integrated systems, we introduce the hierarchical map equation, which reveals multilevel structures in 網絡s. In this 資訊 theoretic appro…

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  • 類型:已發表論文
  • 日期:2011

摘要

To comprehend the hierarchical organization of large integrated systems, we introduce the hierarchical map equation, which reveals multilevel structures in 網絡s. In this 資訊-theoretic approach, we exploit the duality between compression and pattern detection; by compressing a description of a random walker as a proxy for real flow on a 網絡, we find regularities in the 網絡 that induce this system-wide flow. Finding the shortest multilevel description of the random walker therefore gives us the best hierarchical clustering of the 網絡 - the optimal number of levels and modular partition at each level - with respect to the dynamics on the 網絡. With a novel search algorithm, we extract and illustrate the rich multilevel organization of several large 社會 and 生物 網絡s. For example, from the global air tra

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