4 papers · 1 filter
An accelerated gradient method with adaptive restart for convex multiobjective optimization problems
Hao Luo, Liping Tang, Xinmin Yang
In this work, based on the continuous time approach, we propose an accelerated gradient method with adaptive residual restart for convex multiobjective optimization problems. For t…
Gradient-based algorithms for multi-objective bi-level optimization
Xinmin Yang, Wei Yao, Haian Yin +2
Multi-Objective Bi-Level Optimization (MOBLO) addresses nested multi-objective optimization problems common in a range of applications. However, its multi-objective and hierarchica…
Barzilai-Borwein Descent Methods for Multiobjective Optimization Problems with Variable Trade-off Metrics
Jian Chen, Liping Tang, Xinmin Yang
The imbalances and conditioning of the objective functions influence the performance of first-order methods for multiobjective optimization problems (MOPs). The latter is related t…
The Smoothing Proximal Gradient Algorithm with Extrapolation for the Relaxation of Regularization Problem
Jie Zhang, Xinmin Yang, Gaoxi Li +1
In this paper, we consider the exact continuous relaxation model of regularization problem which was given by Bian and Chen (SIAM J. Numer. Anal 58(1): 858-883, 2020) and pro…