https://github.com/JuliaManifolds/ManifoldsBase.jl

Basic interface for manifolds in Julia
https://github.com/JuliaManifolds/ManifoldsBase.jl

julia manifolds

Last synced: 27 days ago
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Basic interface for manifolds in Julia

• Host: GitHub
• URL: https://github.com/JuliaManifolds/ManifoldsBase.jl
• Owner: JuliaManifolds
• License: mit
• Created: 2019-11-05T10:51:11.000Z (over 4 years ago)
• Default Branch: master
• Last Pushed: 2024-05-01T08:20:34.000Z (about 2 months ago)
• Last Synced: 2024-05-01T12:38:04.273Z (about 2 months ago)
• Topics: julia, manifolds
• Language: Julia
• Homepage: https://juliamanifolds.github.io/ManifoldsBase.jl/
• Size: 9.32 MB
• Stars: 81
• Watchers: 9
• Forks: 8
• Open Issues: 6
• Metadata Files:
  • Readme: Readme.md
  • License: LICENSE
  • Citation: CITATION.bib

Lists

• awesome-stars - JuliaManifolds/ManifoldsBase.jl - Basic interface for manifolds in Julia (Julia)

README

        


    

        

      

    



[![](https://img.shields.io/badge/docs-stable-blue.svg)](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/)

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[![ACM TOMS](https://img.shields.io/badge/ACM%20TOMS-10.1145%2F3618296-blue.svg)](http://doi.org/10.1145/3618296)

[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.5964340.svg)](https://doi.org/10.5281/zenodo.5964340)

## Installation

In Julia you can install this package by typing

```julia

using Pkg; Pkg.add("ManifoldsBase")

```

in the Julia REPL.

Since this package provides an interface, you probably either want to add it as a dependency to your project/package to work on manifold generically or implement a new manifold.

A package that (only) depends on `ManifoldsBase.jl`, see [Manopt.jl](https://manoptjl.org/stable/), which implements optimization algorithms on manifolds using this interface, i.e. they can be used with any manifold based on `ManifoldsBase.jl`. A library of manifolds implemented using this interface is provided see [Manifolds.jl](https://juliamanifolds.github.io/Manifolds.jl/stable/).

Your package is using `ManifoldsBase`?

We would be very interested to hear where you are using the interface or manifolds in general! Give us a note and we add you here.

## Citation

If you use `ManifoldsBase.jl` in your work, please cite the following open access article

```biblatex

@article{AxenBaranBergmannRzecki:2023,

    author = {Axen, Seth D. and Baran, Mateusz and Bergmann, Ronny and Rzecki, Krzysztof},

    articleno = {33},

    doi = {10.1145/3618296},

    journal = {ACM Transactions on Mathematical Software},

    month = {dec},

    number = {4},

    title = {Manifolds.Jl: An Extensible Julia Framework for Data Analysis on Manifolds},

    volume = {49},

    year = {2023},

}

```

To refer to a certain version we recommend to also cite for example

```biblatex

@software{manifoldsbasejl-zenodo-mostrecent,

    AUTHOR    = {Seth D. Axen and Mateusz Baran and Ronny Bergmann},

    TITLE     = {ManifoldsBase.jl},

    DOI       = {10.5281/ZENODO.5964340},

    URL       = {https://zenodo.org/record/5964340},

    PUBLISHER = {Zenodo},

    YEAR      = {2022},

    COPYRIGHT = {MIT License}

}

```

Note that both citations are in [BibLaTeX](https://ctan.org/pkg/biblatex) format.