A suite of allotaxonometric tools for the comparison of complex systems using rank-turbulence divergence
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916961302085632 |
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| author | St-Onge, Jonathan Fehr, Ashley M. A. Ward, Carter Beauregard, Calla G. Arnold, Michael V. Rosenblatt, Samuel F. Cooley, Benjamin Danforth, Christopher M. Dodds, Peter Sheridan |
| author_facet | St-Onge, Jonathan Fehr, Ashley M. A. Ward, Carter Beauregard, Calla G. Arnold, Michael V. Rosenblatt, Samuel F. Cooley, Benjamin Danforth, Christopher M. Dodds, Peter Sheridan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21808 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A suite of allotaxonometric tools for the comparison of complex systems using rank-turbulence divergence St-Onge, Jonathan Fehr, Ashley M. A. Ward, Carter Beauregard, Calla G. Arnold, Michael V. Rosenblatt, Samuel F. Cooley, Benjamin Danforth, Christopher M. Dodds, Peter Sheridan Computation and Language 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. |
| title | A suite of allotaxonometric tools for the comparison of complex systems using rank-turbulence divergence |
| topic | Computation and Language |
| url | https://arxiv.org/abs/2506.21808 |