4 papers
Fast Convergence of Multiobjective Inertial Gradient Systems with Time Scaling
Yingdong Yin
In multiobjective optimization, inertial gradient systems accelerate convergence toward weakly Pareto optimal solutions. To achieve even faster convergence, we introduce a multiobj…
Multiobjective Accelerated Gradient-like Flow with Asymptotic Vanishing Normalized Gradient
Yingdong Yin
This paper generalizes the dynamical system proposed by Wang et al. [Siam. J. Sci. Comput., 2021] to multiobjective optimization by investigating a multiobjective accelerated gradi…
Point Convergence Analysis of the Accelerated Gradient Method for Multiobjective Optimization: Continuous and Discrete
Yingdong Yin
This paper investigates the point convergence of accelerated gradient methods for multiobjective optimization, in both continuous and discrete settings. We address the open problem…
Multiobjective Balanced Gradient Flow: A Dynamical Perspective on a Class of Optimization Algorithms
Yingdong Yin
This paper proposes a novel dynamical system called the Multiobjective Balanced Gradient Flow (MBGF), offering a dynamical perspective for normalized gradient methods in a class of…