Computing on Topological Domains
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Updated
May 24, 2024 - Jupyter Notebook
Computing on Topological Domains
Representation Learning on Topological Domains
Geometries for 3D rendering, including normals, UVs and cell indices (faces). Perfect if you want to supercharge your dependency folder... with 30KB of geometries.
R package porting Ripser-based persistent homology calculation engines from C++ via Rcpp. Currently ports Ripser (Vietoris-Rips complex) and Cubical Ripser (cubical complex).
ggplot2 extension to visualize persistent homology
A general form for complex data
A data processing pipeline for text-mining on contents extracted from PDFs using Apriori and Simplicial Complex algorithms
A toolkit for discrete calculus.
Julia library providing functionality for modeling Simplicial Complexes and Cochains over them. Its main feature is a clean interface to calculate Betti numbers and Hodge decompositions.
Forman Ricci Curvature for Simplicial Complex.
A simplicial complex and hypergraph visualization tool similar to Graphviz.
R package for simplifying general computation on simplicial complexes
Multidimensional interpolation using simplicial complexes.
Python bindings to Simplex Tree data structure (w/ C++)
MATLAB iterative algorithm that fits a n-dimensional simplicial complex to a point cloud in arbitrary dimensions based on a generalization of k-means clustering
UDiPH is a package that creates a new metric space where the points are uniformly sampled with respect to a global metric. It is oriented for creating Vietoris-Rips filtrations that are independent of the metric of the initial space.
We introduce simplicial VAR models for time-varying processes observed on higher-order networks. These models adeptly capture intricate spatio-temporal dependencies within simplicial signals while significantly reducing parameter complexity relative to conventional VAR models.
Convert one (or more) simplicial complex geometry (positions/cells/normals/uvs) into an OBJ string.
Inductive Higher Order Knowledge Hypergraph Completion
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