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

2025/06/26 by Jonathan St-Onge, St-Onge, Jonathan, Ashley M. A. Fehr +14
Computer Science · Engineering · Physics and Astronomy · #Computation and Language (cs.CL) #Data Visualization and Analytics #FOS: Computer and information sciences #Fluid Dynamics and Turbulent Flows #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2506.21808

openalex publication_date 2025/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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