Published January 29, 2026
| Version v1.1.0
Software
Open
Yatrogenesis/TDA-Information-Dynamics: TDA-Information-Dynamics v1.1.0 - With Paper
Authors/Creators
Description
TDA-Information-Dynamics v1.1.0
What is New
- Added publication-ready LaTeX paper in paper/ folder
Paper: TDA-CUSUM Universal Framework
A framework combining Topological Data Analysis with sequential change-point detection for early warning of critical transitions.
Validated Systems
| System | Transition | Early Warning | |--------|------------|---------------| | Brusselator | Hopf | +1.72 | | FitzHugh-Nagumo | Hopf | +0.41 | | XY Model | BKT | +0.21 | | Kuramoto | Sync | +0.50 | | Lennard-Jones | Crystal | 73-100% |
Central Result
In ALL systems: t_CUSUM < t_physical
Topological signatures precede traditional bifurcation indicators.
Author
Francisco Molina-Burgos Avermex Research Division Merida, Yucatan, Mexico January 2026
Files
Yatrogenesis/TDA-Information-Dynamics-v1.1.0.zip
Files
(77.9 kB)
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Additional details
Related works
- Is supplement to
- Software: https://github.com/Yatrogenesis/TDA-Information-Dynamics/tree/v1.1.0 (URL)
Software
- Repository URL
- https://github.com/Yatrogenesis/TDA-Information-Dynamics