arXiv:2506.21808cs.CL2025-06被引 1

用秩湍流发散法可视化对比复杂系统分布差异

A suite of allotaxonometric tools for the comparison of complex systems using rank-turbulence divergence

  • 基于类型湍流构建秩-湍流发散的可视化工具
  • 支持重尾分布对比,可计算多种发散度量
  • 提供跨平台工具包,适合数据科学与复杂系统研究

描述和比较复杂系统需要有理论基础的严谨工具。围绕类型湍流现象,异同轴图(allotaxonographs)提供了成对重尾分布的图表与列表式可视化对比。这些工具可整合秩湍流发散、概率湍流发散、Jensen-Shannon 发散及广义熵发散等多种度量方法。本文介绍了一套用于生成秩-湍流发散异同轴图的程序化工具,分别以 Matlab、JavaScript 和 Python 实现,适用于不同使用场景。

原文摘要 · Abstract (English)

Describing and comparing complex systems requires principled, theoretically grounded tools. Built around the phenomenon of type turbulence, allotaxonographs provide map-and-list visual comparisons of pairs of heavy-tailed distributions. Allotaxonographs are designed to accommodate a wide range of instruments including rank- and probability-turbulence divergences, Jenson-Shannon divergence, and generalized entropy divergences. Here, we describe a suite of programmatic tools for rendering allotaxonographs for rank-turbulence divergence in Matlab, Javascript, and Python, all of which have different use cases.

复杂系统分布对比可视化发散度量

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