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Minor changes to Readme.md #315

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26 changes: 13 additions & 13 deletions Readme.md
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Expand Up @@ -12,7 +12,7 @@ Optimization Algorithm on Riemannian Manifolds.
For a function $f: ℳ → ℝ$ that maps from a [Riemannian manifold](https://en.wikipedia.org/wiki/Riemannian_manifold)
ℳ to the real line, we aim to solve

> Find the minimizer p on ℳ, i.e. the (or a) point where f attains its minimum.
> Find the minimizer p on ℳ, that is, the (or a) point where f attains its minimum.
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`Manopt.jl` provides

Expand All @@ -39,9 +39,9 @@ a Riemannian manifold.

The following packages are related to `Manopt.jl`

* [`Manifolds.jl`](https://juliamanifolds.github.io/Manifolds.jl/stable/) – a library of manifolds implemented using [`ManifoldsBase.jl`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/) :octocat: [GitHub repository](https://github.com/JuliaManifolds/Manifolds.jl)
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* [`ManifoldsDiff.jl`](https://juliamanifolds.github.io/ManifoldDiff.jl/stable/) – a package to use (Euclidean) AD tools on manifolds, that also provides several differentials and gradients. :octocat: [GitHub repository](https://github.com/JuliaManifolds/ManifoldDiff.jl)
* [`JuMP.jl`](https://jump.dev/) can be used as interface to solve an optimization problem with Manopt. See [usage examples](https://manoptjl.org/stable/extensions/). :octocat: [GitHub repository](https://github.com/jump-dev/JuMP.jl)
* [`Manifolds.jl`](https://juliamanifolds.github.io/Manifolds.jl/stable/): a library of manifolds implemented using [`ManifoldsBase.jl`](https://juliamanifolds.github.io/ManifoldsBase.jl/stable/) :octocat: [GitHub repository](https://github.com/JuliaManifolds/Manifolds.jl)
* [`ManifoldsDiff.jl`](https://juliamanifolds.github.io/ManifoldDiff.jl/stable/): a package to use (Euclidean) AD tools on manifolds, that also provides several differentials and gradients. :octocat: [GitHub repository](https://github.com/JuliaManifolds/ManifoldDiff.jl)
* [`JuMP.jl`](https://jump.dev/): can be used as interface to solve an optimization problem with Manopt. See [usage examples](https://manoptjl.org/stable/extensions/). :octocat: [GitHub repository](https://github.com/jump-dev/JuMP.jl)

## Citation

Expand Down Expand Up @@ -98,16 +98,16 @@ Note that all citations are in [BibLaTeX](https://ctan.org/pkg/biblatex) format.

`Manopt.jl` belongs to the Manopt family:

* [manopt.org](https://www.manopt.org) – The Matlab version of Manopt, see also their :octocat: [GitHub repository](https://github.com/NicolasBoumal/manopt)
* [pymanopt.org](https://www.pymanopt.org/) – The Python version of Manopt – providing also several AD backends, see also their :octocat: [GitHub repository](https://github.com/pymanopt/pymanopt)
* [www.manopt.org](https://www.manopt.org): the MATLAB version of Manopt, see also their :octocat: [GitHub repository](https://github.com/NicolasBoumal/manopt)
* [www.pymanopt.org](https://www.pymanopt.org): the Python version of Manopt—providing also several AD backends, see also their :octocat: [GitHub repository](https://github.com/pymanopt/pymanopt)

but there are also more packages providing tools on manifolds:

* [Jax Geometry](https://bitbucket.org/stefansommer/jaxgeometry/src/main/) (Python/Jax) for differential geometry and stochastic dynamics with deep learning
* [Geomstats](https://geomstats.github.io) (Python with several backends) focusing on statistics and machine learning :octocat: [GitHub repository](https://github.com/geomstats/geomstats)
* [Geoopt](https://geoopt.readthedocs.io/en/latest/) (Python & PyTorch) – Riemannian ADAM & SGD. :octocat: [GitHub repository](https://github.com/geoopt/geoopt)
* [McTorch](https://github.com/mctorch/mctorch) (Python & PyToch) – Riemannian SGD, Adagrad, ASA & CG.
* [ROPTLIB](https://www.math.fsu.edu/~whuang2/papers/ROPTLIB.htm) (C++) a Riemannian OPTimization LIBrary :octocat: [GitHub repository](https://github.com/whuang08/ROPTLIB)
* [TF Riemopt](https://github.com/master/tensorflow-riemopt) (Python & TensorFlow) Riemannian optimization using TensorFlow
* [Jax Geometry](https://bitbucket.org/stefansommer/jaxgeometry/src/main/) (Python/Jax): differential geometry and stochastic dynamics with deep learning
* [Geomstats](https://geomstats.github.io) (Python with several backends): focusing on statistics and machine learning :octocat: [GitHub repository](https://github.com/geomstats/geomstats)
* [Geoopt](https://geoopt.readthedocs.io/en/latest/) (Python & PyTorch): Riemannian ADAM & SGD. :octocat: [GitHub repository](https://github.com/geoopt/geoopt)
* [McTorch](https://github.com/mctorch/mctorch) (Python & PyToch): Riemannian SGD, Adagrad, ASA & CG.
* [ROPTLIB](https://www.math.fsu.edu/~whuang2/papers/ROPTLIB.htm) (C++): a Riemannian OPTimization LIBrary :octocat: [GitHub repository](https://github.com/whuang08/ROPTLIB)
* [TF Riemopt](https://github.com/master/tensorflow-riemopt) (Python & TensorFlow): Riemannian optimization using TensorFlow

Did you use `Manopt.jl` somewhere? Let us know! We'd love to collect those here as well.
Did you use `Manopt.jl` somewhere? Let us know! We'd love to collect those here as well.
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