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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.OC2024
A modified Polak-Ribiere-Polyak type conjugate gradient method with two stepsize strategies for vector optimization
Yushan Bai, Jiawei Chen, Kaiping Liu
In this paper, in order to find critical points of vector-valued functions with respect to the partial order induced by a closed, convex, and pointed cone with nonempty interior, w…