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homotopy-theory

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Glial-inspired ANN algorithm for unsupervised classification and zero-shot forecassting of nonstationary dynamics. Based on dynamical systems theory with a bit of simplicial homotopy theory. Preprint of the manuscript available in the URL.

  • Updated Mar 6, 2025
  • Jupyter Notebook

Repository for simulating edge collapse on Erdos-Renyi clique complexes, based on the paper “On Edge Collapse of Random Simplicial Complexes” (SoCG’24 submission). The edge collapse procedure reduces a simplicial complex to its core while preserving homotopy and homology, helping analyze its topological structure with greater efficiency.

  • Updated Apr 24, 2025
  • Jupyter Notebook

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