3 citations · 3 across the 5 of their papers we have counts for
5 papers
MPFA: A Pareto Front Approximation Method for Riemannian Bi-objective Optimization
Kaiping Liu, P. -A. Absil, Jiawei Chen
We propose a Pareto front approximation (MPFA) method for smooth bi-objective optimization problems on Riemannian manifolds based on a Hermite interpolation technique. Compared wit…
A second-order method landing on the Stiefel manifold via Newton$\unicode{x2013}$Schulz iteration
Xinhui Xiong, Bin Gao, P. -A. Absil
Retraction-free approaches offer attractive low-cost alternatives to Riemannian methods on the Stiefel manifold, but they are often first-order, which may limit the efficiency unde…
The tangent cone to the real determinantal variety: various expressions and a proof
Guillaume Olikier, Petar Mlinarić, P. -A. Absil +1
The set of real matrices of upper-bounded rank is a real algebraic variety called the real generic determinantal variety. An explicit description of the tangent cone to that variet…
Computing Bouligand stationary points efficiently in low-rank optimization
Guillaume Olikier, P. -A. Absil
This paper considers the problem of minimizing a differentiable function with locally Lipschitz continuous gradient on the algebraic variety of all -by- real matrices of rank…
Low-rank optimization methods based on projected projected-gradient descent that accumulate at Bouligand stationary points
Guillaume Olikier, Kyle A. Gallivan, P. -A. Absil
This paper considers the problem of minimizing a differentiable function with locally Lipschitz continuous gradient on the algebraic variety of real matrices of upper-bounded rank.…