
Manopt
 Referenced in 123 articles
[sw08493]
 Matlab toolbox for optimization on manifolds. Optimization on manifolds is a rapidly developing branch ... design efficient numerical algorithms. In particular, optimization on manifolds is wellsuited to deal with ... experimenting with state of the art Riemannian optimization algorithms. We aim particularly at reaching practitioners...

Pymanopt
 Referenced in 24 articles
[sw17844]
 Pymanopt: a python toolbox for optimization on manifolds using automatic differentiation. Optimization on manifolds ... structure of a differentiable manifold. While many optimization problems are of the described form, technicalities ... pymanopt.github.io}), a toolbox for optimization on manifolds, implemented in Python, that  similarly to the Manopt ... Matlab toolbox  implements several manifold geometries and optimization algorithms. Moreover, we lower the barriers...

RTRMC
 Referenced in 43 articles
[sw20435]
 rank matrix completion via preconditioned optimization on the Grassmann manifold. We address the numerical problem ... problem as an unconstrained optimization problem on a single Grassmann manifold. We then apply second ... detail preconditioned versions of Riemannian optimization algorithms. The cost of each iteration is linear...

ROPTLIB
 Referenced in 15 articles
[sw27188]
 Library for Optimization on Riemannian Manifolds. Riemannian optimization is the task of finding an optimum ... valued function defined on a Riemannian manifold. Riemannian optimization has been a topic of much ... describes ROPTLIB, a C++ library for Riemannian optimization. Unlike prior packages, ROPTLIB simultaneously achieves ... users do not need to implement manifold and algorithmrelated objects; (iii) it provides efficient...

GAIO
 Referenced in 94 articles
[sw04306]
 global numerical analysis of dynamical systems and optimization problems based on set oriented techniques ... used to compute invariant sets, invariant manifolds, invariant measures and almost invariant sets in dynamical ... systems and to compute the globally optimal solutions of both scalar and multiobjective problems...

MADMM
 Referenced in 14 articles
[sw38277]
 generic algorithm for nonsmooth optimization on manifolds. Numerous problems in machine learning are formulated ... optimization with manifold constraints. In this paper, we propose the Manifold alternating directions method ... classical ADMM scheme for manifoldconstrained nonsmooth optimization problems and show its application ... problems in dimensionality reduction, data analysis, and manifold learning...

Optim
 Referenced in 18 articles
[sw29999]
 such algorithms themselves. The package supports optimization on manifolds, functions of complex numbers, and input ... derivative free, firstorder, and secondorder optimization methods. The user can provide derivatives themselves...

NeNMF
 Referenced in 34 articles
[sw17586]
 search and converges optimally at rate in optimizing each matrix factor, it is superior ... solve norm, norm and manifold regularized NMF with the optimal convergence rate. Numerical experiments...

RMMEDA
 Referenced in 39 articles
[sw08554]
 continuous multiobjective optimization problem is a piecewise continuous (m  1)D manifold, where ... distribution algorithm (RMMEDA) for continuous multiobjective optimization problems with variable linkages. At each generation ... piecewise continuous manifold. The local principal component analysis algorithm is used for building such...

GrassmannOptim
 Referenced in 8 articles
[sw24308]
 package GrassmannOptim: Grassmann Manifold Optimization. Optimizing a function F(U), where U is a semi...

Optspace
 Referenced in 8 articles
[sw12630]
 singular value decomposition followed by local manifold optimization, for solving the lowrank matrix completion...

tSNE
 Referenced in 176 articles
[sw22300]
 Roweis, 2002) that is much easier to optimize, and produces significantly better visualizations by reducing ... several different, but related, lowdimensional manifolds, such as images ofobjects from multiple classes seen...

McTorch
 Referenced in 3 articles
[sw38978]
 McTorch Lib, a manifold optimization library for deep learning. McTorch is a Python library that ... adds manifold optimization functionality to PyTorch. Leverages tensor computation and GPU acceleration from PyTorch. Enables ... optimization on manifold constrained tensors to address nonlinear optimization problems. Facilitates constrained weight tensors...

Manopt.jl
 Referenced in 5 articles
[sw39727]
 Manopt.jl provides a framework for optimization on manifolds. Based on Manopt and MVIRT, both implemented ... provide an easy access to optimization methods on manifolds for Julia, including example data...

ManifoldOptim
 Referenced in 4 articles
[sw27189]
 ROPTLIB’ Library for Riemannian Manifold Optimization. An R interface to version 0.3 of the ’ROPTLIB ... whuang2> for more information). Optimize real valued functions over manifolds such as Stiefel, Grassmann...

MixEst
 Referenced in 3 articles
[sw20239]
 MixEst gives the possibility of using manifold optimization for fitting the density model, a feature...

LORM
 Referenced in 2 articles
[sw18660]
 LORM: A C++ Library for Optimization on Riemannian Manifold. Quadrature Rules on Manifolds: We implemented ... library for optimization on Riemannian manifolds (LORM), which is Free Software licensed under the MPL2...

SESync
 Referenced in 9 articles
[sw40678]
 equivalent optimization problem on a lowdimensional Riemannian manifold, and design a truncatedNewton trust ... reduction efficiently. Finally, we combine this fast optimization approach with a simple rounding procedure...

NSWC
 Referenced in 11 articles
[sw09119]
 linear equations, optimization, transforms, approximation of functions, curve fitting, surface fitting, manifold fitting, numerical integration...

Isomap
 Referenced in 11 articles
[sw31686]
 globally optimal solution, and, for an important class of data manifolds, is guaranteed to converge...