inverse retraction – Optimization Online

Riemannian conjugate gradient methods with inverse retraction

Published: 2020/05/17, Updated: 2020/09/04

Nonlinear Optimization conjugate gradient method, fixed-rank manifold, inverse retraction, retraction, riemannian optimization, stiefel manifold

We propose a new class of Riemannian conjugate gradient (CG) methods, in which inverse retraction is used instead of vector transport for search direction construction. In existing methods, differentiated retraction is often used for vector transport to move the previous search direction to the current tangent space. However, a different perspective is adopted here, motivated … Read more