⟨Grassmann-Clifford-Hodge⟩ multilinear differential geometric algebra

Manifolds.jl provides a library of manifolds aiming for an easy-to-use and fast implementation.

🏔️Optimization on Riemannian Manifolds in Julia

Source code for lecture notes

Distance-based Analysis of DAta-manifolds in python

Comprehensive open source book on basic topology, smooth manifolds, differential geometry, Lie theory, homological algebra, and index theory.

Basic interface for manifolds in Julia

Riemannian Optimization Using JAX

Python implementation of the paper "Discrete Differential-Geometry Operators for Triangulated 2-Manifolds" by Meyer et. al. VisMath 2002

Tangent bundle, vector space and Submanifold definition

Methods for computational information geometry

A package to describe amortized (conditional) normalizing-flow PDFs defined jointly on tensor products of manifolds with coverage control. The connection between different manifolds is fixed via an autoregressive structure.

Supplementary code for the paper "Stationary Kernels and Gaussian Processes on Lie Groups and their Homogeneous Spaces"

Tensor algebra abstract type interoperability setup

Differential equations on manifolds

This is a Pytorch implementation of [normalizing flows on tori and spheres, ICML 2020]

This repository contains the python implementation of the paper titled "Discrete Differential-Geometry Operators for Triangulated 2-Manifolds" by Meyer et. al. VisMath 2002 http://multires.caltech.edu/pubs/diffGeoOps.pdf

Development version of phaseR, an R package for phase plane analysis of one- and two-dimensional autonomous ODE systems

This packaged is an implementation of our paper "Robust Denoising of Piece-Wise Smooth Manifolds", ICASSP 2018 The algorithm creates an affinity graph and perform denoising on a set of N input points in R^n. Given an input set of points in any arbitrary dimension, an affinity graph is first created based on Tensor Voting, Local PCA or Euclidean …

Adaptive P/ODE numerics with Grassmann element TensorField assembly