Code Accompanying Paper "Semi-Riemannian Manifold Optimization" (arXiv:1812.07643)
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manopt
README.md
getSRCostGrad.m
getSRGradient.m
minkowskifactory.m
pseudosphereminkowskifactory.m
sRiem_minkowski_SD_CG.m
sRiem_pseudosphere_SD_CG.m
sRiem_sphere_SD_CG.m
sphereminkowskifactory.m
sr_conjugategradient.m
sr_linesearch_hint.m
sr_orthogonalize.m
sr_steepestdescent.m
sr_tangentorthobasis.m

README.md

Semi-Riemannian Manifold Optimization


This repository contains MATLAB code accompanying the preprint Semi-Riemannian Manifold Optimization (arXiv:1812.07643) by Tingran Gao, Lek-Heng Lim, and Ke Ye.

To run these scripts, please ensure the ManOpt toolbox is in your path (e.g. by running command run manopt/importmanopt.m in the MATLAB console).

  • sRiem_minkowski_SD_CG.m: Numerical experiments on Minkowski spaces
  • sRiem_sphere_SD_CG.m: Numerical experiments on the unit Euclidean sphere viewed as a semi-Riemannian submanifold of an aambient Minkowski space
  • sRiem_pseudosphere_SD_CG.m: Numerical experiments on the unit pseudo-sphere with canonical semi-Riemannian metric induced from the ambient Minkowski space

Please direct all inquiries to Tingran Gao (tingrangao@galton.uchicago.edu).