Manopt, a matlab toolbox for optimization on manifolds

Time 2021-11-21 07:09:04

Web Name: Manopt, a matlab toolbox for optimization on manifolds

WebSite: http://www.manopt.org

ID:242615

Keywords:

toolbox,matlab,Manopt,for,manifolds,on,optimization,Optimizationonmanifolds,Riem

Description:

keywords:Optimization on manifolds,Riemannian optimization,Manopt,low-rank
description:Manopt is a Matlab toolbox for optimization on manifolds.
Manopt Home Tutorial Downloads Forum About Contact To contact us

To discuss code, it is best to use the forum.

For things not suitable for the forum, e-mail us at manopttoolbox@gmail.com.

We are happy to receive feedback and bug reports or requests for more features, to discuss the toolbox in general as well as its documentation and to help you use it.

We would also love to know how you use the toolbox, and if you built nice manifold factories, solvers or tools that could benefit others.

Close Welcome to Manopt! Toolboxes for optimization on manifolds and matrices

Optimization on manifolds is a powerful paradigm to address nonlinear optimization problems.

With Manopt, it is easy to deal with various types of constraints and symmetries which arise naturally in applications, such as orthonormality, low rank, positivity and invariance under group actions.

These tools are also perfectly suited for unconstrained optimization with vectors and matrices.

Matlab

This website is the home of the Matlab version of Manopt. Check out the tutorial, our downloads and, for the most up-to-date code, our GitHub repository.

Python

The PyManopt website houses the Python version of Manopt and its documentation. Also check out the GitHub repository.

Julia

The Manopt.jl website hosts the Julia version of Manopt and its documentation. Also check out the GitHub repository for Manopt.jl and the sister project Manifolds.jl.

Manifolds and matrices

Manifolds are mathematical sets with a smooth geometry, such as spheres. If you are facing a possibly non-convex optimization problem with nice-looking constraints, symmetries or invariance properties, Manopt may just be the tool for you. Check out the manifolds library to find out! Moreover, since linear spaces are manifolds, Manopt is especially convenient for optimization over matrices.

Resources

Manopt comes with a large library of manifolds and ready-to-use Riemannian optimization algorithms. It is well documented and includes diagnostics tools to help you get started quickly with barely any prerequisites in optimization and geometry. Feel free to ask questions on the forum. To learn more about the mathematical foundations, see the two books and other resources linked on the about page.

It's open source

Let us know how you use Manopt, and tell us about bugs or missing features by opening issues on our GitHub pages. Please cite the toolbox according to the language you use: Matlab, Python, Julia (click for BibTex).

@Article{manopt,  author  = {Boumal, N. and Mishra, B. and Absil, P.-A. and Sepulchre, R.},  journal = {Journal of Machine Learning Research},  title   = {{M}anopt, a {M}atlab Toolbox for Optimization on Manifolds},  year    = {2014},  number  = {42},  pages   = {1455--1459},  volume  = {15},  url     = {https://www.manopt.org},}

@Article{pymanopt,  author  = {Townsend, J. and Koep, N. and Weichwald, S.},  journal = {Journal of Machine Learning Research},  title   = {{P}y{M}anopt: a {P}ython toolbox for optimization on manifolds using automatic differentiation},  year    = {2016},  number  = {137},  pages   = {1--5},  volume  = {17},  url     = {https://www.pymanopt.org},}

@Online{manoptjl,  author  = {Bergmann, R.},  title   = {Manopt.jl},  year    = {2019},  url     = {https://www.manoptjl.org},  urldate = {2019},}

TAGS:toolbox matlab Manopt for manifolds on optimization Optimizationonmanifolds Riem

<<< Thank you for your visit >>>

Manopt is a Matlab toolbox for optimization on manifolds.

Hot Websites