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math.OC2026
Second-order Methods for Multiobjective Composite Optimization: Preconditioning Strategies, Subspace Variants and Inexact Solutions
Jian Chen, Xinmin Yang
Multiobjective composite optimization problems arise in sparse regularization, constrained multiobjective models, and multi-task learning, but their numerical solution remains chal…
math.OC2026
Preconditioned Proximal Gradient Methods with Conjugate Momentum: A Subspace Perspective
Jian Chen, Xinmin Yang
In this paper, we propose a descent method for composite optimization problems with linear operators. Specifically, we first design a structure-exploiting preconditioner tailored t…