Geometric Optimization

Determining Step Sizes in Geometric Optimization Algorithms

We proposed a new minimization scheme aiming to find a better step size utilizing the first order information of the search curve.

A New Retraction for Accelerating the Riemannian Three-Factor Low-Rank Matrix Completion Algorithm

We proposed a new retraction for the quotient manifold used in R3MC, which is a geometric optimization algorithm for the matrix completion problem.