Mathematical software

Manopt
Referenced in 117 articles [sw08493]
design efficient numerical algorithms. In particular, optimization on manifolds is well-suited to deal with ... experimenting with state of the art Riemannian optimization algorithms. We aim particularly at reaching practitioners...

RTRMC
Referenced in 43 articles [sw20435]
unconstrained optimization problem on a single Grassmann manifold. We then apply second-order Riemannian trust ... 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 ... function defined on a Riemannian manifold. Riemannian optimization has been a topic of much interest ... required to successfully design and apply Riemannian optimization algorithms is a significant impediment for many ... describes ROPTLIB, a C++ library for Riemannian optimization. Unlike prior packages, ROPTLIB simultaneously achieves...

hybrid-rcg
Referenced in 3 articles [sw39660]
existing methods for solving several Riemannian optimization problems. Python implementations of the methods used...

ManifoldOptim
Referenced in 4 articles [sw27189]
Interface to the ’ROPTLIB’ Library for Riemannian Manifold Optimization. An R interface to version...

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

SE-Sync
Referenced in 9 articles [sw40678]
equivalent optimization problem on a low-dimensional Riemannian manifold, and design a truncated-Newton trust ... reduction efficiently. Finally, we combine this fast optimization approach with a simple rounding procedure...

ResEntSG
Referenced in 2 articles [sw39447]
entropy estimation for dynamical systems via Riemannian metric optimization. In the remote state estimation problem...

StiefelLog
Referenced in 1 article [sw42250]
Closed-form geodesics and optimization for Riemannian logarithms of Stiefel and flag manifolds. We provide ... this objective function. We focus on two optimization methods, extit{gradient descent} and L-BFGS ... could be used to compute the Riemannian center of mass for these manifolds equipped with...

GenRTR
Referenced in 1 article [sw14488]
MATLAB package for the optimization of functions defined on Riemannian manifolds. GenRTR currently provides ... Riemannian Trust-Region (RTR) method; the Implicit Riemannian Trust-Region (IRTR) method. While the current ... implementation of any retraction-based optimization method. Future plans involve the expansion of the framework...

Manifolds.jl
Referenced in 2 articles [sw39726]
fast and easy to use library of Riemannian manifolds and Lie groups. We introduce ... utility of Manifolds.jl using Bézier splines, an optimization task on manifolds, and a principal component...

Manopt