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

J. St.-Onge, A. M. A. Fehr, C. Ward, C. G. Beauregard, M. V. Arnold, S. F. Rosenblatt, B. Cooley, C. M. Danforth, P. S. Dodds

Times cited: 0

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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BibTeX:

@misc{st-onge2025a,
  title =	 {A suite of allotaxonometric tools for the comparison
                  of complex systems using rank-turbulence divergence},
  author =	 {Jonathan St.-Onge and Ashley M. A. Fehr and Carter
                  Ward and Calla G. Beauregard and Michael V. Arnold
                  and Samuel F. Rosenblatt and Benjamin Cooley and
                  Christopher M. Danforth and Peter Sheridan Dodds},
  year =	 {2025},
  eprint =	 {2506.21808},
  archivePrefix ={arXiv},
  primaryClass = {cs.CL},
  url =		 {https://arxiv.org/abs/2506.21808},
}

 

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