Computing on Topological Domains

TopoBench is a Python library designed to standardize benchmarking and accelerate research in Topological Deep Learning

Geometries for 3D rendering, including normals, UVs and cell indices (faces). Perfect if you want to supercharge your dependency folder... with 30KB of geometries.

Representation Learning on Topological Domains

A general form for complex data

A simplicial complex and hypergraph visualization tool similar to Graphviz.

Use hodge decomposition for trajectory analysis

ggplot2 extension to visualize persistent homology

Tool to numerically solve and analyse simplicial Kuramoto models.

Finite Element Exterior Calculus engine in Rust

D-dimensional Delaunay triangulations and convex hulls in safe Rust, with Euclidean and toroidal topologies, exact predicates, Simulation of Simplicity, multi-level validation, and bistellar flips

Model and represent Simplicial Complexes and their Cochains. Provides a clean interface to calculate Betti numbers and (discrete) Hodge decompositions.

R package for simplifying general computation on simplicial complexes

R package porting Ripser-based persistent homology calculation engines from C++ via Rcpp. Currently ports Ripser (Vietoris-Rips complex) and Cubical Ripser (cubical complex).

Python bindings to Simplex Tree data structure (w/ C++)

A toolkit for discrete calculus.

Forman Ricci Curvature for Simplicial Complex.

A self-contained python library designed to apply Mathematical Surgery Theory over Manifolds.

Multidimensional interpolation using simplicial complexes.

Inductive Higher Order Knowledge Hypergraph Completion