Package Manifolds.jl aims to provide both a unified interface to define and use manifolds as well as a library of manifolds to use for your projects. This package is mostly stable, see #438 for planned upcoming changes. The implemented manifolds are accompanied by their mathematical formulae. The manifolds are implemented using the interface for manifolds given in ManifoldsBase.jl. You can use that interface to implement your own software on manifolds, such that all manifolds based on that interface can be used within your code.

Features

  • A wide selection of Riemannian manifolds like spheres, hyperbolic spaces, Stiefel and Grassmann manifolds
  • Support for optimization on manifolds using Manopt.jl
  • Support for many operations used in optimization and manifold-valued statistics with a focus on performance and ease of use
  • Connection manifolds
  • Atlases, charts and custom metrics (work in progress)
  • Finite differences and automatic differentiation on manifolds using ManifoldDiff.jl (work in progress)

Project Samples

Project Activity

See All Activity >

Categories

Libraries

License

MIT License

Follow Manifolds.jl

Manifolds.jl Web Site

Other Useful Business Software
$300 in Free Credit Towards Top Cloud Services Icon
$300 in Free Credit Towards Top Cloud Services

Build VMs, containers, AI, databases, storage—all in one place.

Start your project in minutes. After credits run out, 20+ products include free monthly usage. Only pay when you're ready to scale.
Get Started
Rate This Project
Login To Rate This Project

User Reviews

Be the first to post a review of Manifolds.jl!

Additional Project Details

Programming Language

Julia

Related Categories

Julia Libraries

Registered

2023-11-10