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simplicial-complexes

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Research-grade PyTorch math: differential geometry, spectral graph theory, discrete Ricci flow, simplicial topology, persistent homology, cellular sheaves, SO(3) Lie primitives, information geometry, tensor decompositions, content-addressable provenance. GPU-native, batched-first, audit-clean, cited.

  • Updated Jul 8, 2026
  • Python

Glial-inspired ANN algorithm for unsupervised classification and zero-shot forecasting of nonstationary dynamics with oscillating links. Based on dynamical systems and simplicial homotopy theory. Open source manuscript available below.

  • Updated Mar 10, 2026
  • Jupyter Notebook

Official implementation of "Differentiable Lifting for Topological Neural Networks." A general framework (∂lift) for end-to-end learning of graph liftings to hypergraphs, cellular complexes, and simplicial complexes.

  • Updated Mar 24, 2026
  • Python

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