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math.OC2026
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…
math.OC2026
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…