hodge-laplacian

Use hodge decomposition for trajectory analysis

Full spectrum sheaf neural network over arbitrary CW complexes.

PETLS: Persistent Topological Laplacian Software

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.

mlr - single-header-only C++ linear algebra math library

Repository with all the code for the Hodge Laplacian with Nitsche type enforced Dirichlet boundary conditions in NGSolve

Signal processing on simplicial complexes, using basis dictionaries formed via hierarchical partitioning

Topology-aware ML toolkit plus preregistered graph-classification study; honest negative result, statistical harness, reproducible evidence.

Companion to "Improved A Priori Error Estimates for the Nitsche Hodge-Laplacian": NGSolve scripts reproducing Tables 1–4 and a Lean 4 formalization of the proof chain.

Fundamental limits of higher-order (triangle) structure identifiability from edge flows: curl-invisibility phase transition, geometry-aware whitened detector, 3/n rank obstruction. Theory validated by Monte-Carlo; CPU-only; fully reproducible; ICASSP-targeted.

Lab to study harmonic finite normal form games

This repository contains Jupyter Notebooks in support of Camilo Tellos Presentation at the NGSolve User Meeting in Hamburg

Clean-room verification suite for 'Betti Numbers as Cognitive Integrity Metrics: Topological Health Diagnostics for Deterministic Memory Systems' (Casey Lee Race, Calera Computing, Inc.)

Operator-geometric inference of non-passive transport structure using PDE-constrained Hodge–Laplacian graph neural networks

Simulación de un proceso de ramificación y aniquilación en complejos cúbicos Z^d: Laplacianos de Hodge, Gillespie y tiempos de extinción por Monte Carlo

Research UOFDT math