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riemannian-manifolds

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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

VNAE: A geometric approach to global stability in massive multi-agent systems with asymmetric dissipation, validated at scale.

  • Updated Feb 4, 2026
  • Python

Victoria-Nash Asymmetric Equilibrium (VNAE) framework for massive multi-agent systems. Scalable stability analysis for 10,000+ agents using Riemannian geometry and structural curvature K.

  • Updated Jan 31, 2026
  • R

Practical example of the Victoria-Nash Asymmetric Equilibrium (VNAE) applied to multi-agent drone control. Paper: "Riemmanian Manifolds of Asymmetric Equilibria: The Victoria-Nash Geometry".

  • Updated Feb 3, 2026
  • R

GAP is a biologically plausible learning algorithm designed for Dynamically Gated Analog Crossbars (DGAC). It bridges the gap between the energy efficiency of local Hebbian learning and the global optimization power of backpropagation by utilizing dynamic Riemannian curvature.

  • Updated Mar 28, 2026
  • Python

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