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math.OC2023
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…
math.OC2023
On the Convergence of Newton-type Proximal Gradient Method for Multiobjective Optimization Problems
Jian Chen, Xiaoxue Jiang, Liping Tang +1
In a recent study, Ansary (Optim Methods Softw 38(3):570-590,2023) proposed a Newton-type proximal gradient method for nonlinear multiobjective optimization problems (NPGMO). Howev…
math.OC2023
Barzilai-Borwein Proximal Gradient Methods for Multiobjective Composite Optimization Problems with Improved Linear Convergence
Jian Chen, Liping Tang, Xinmin Yang
When minimizing a multiobjective optimization problem (MOP) using multiobjective gradient descent methods, the imbalances among objective functions often decelerate the convergence…