5 papers · 1 filter
Global Merit Complexity of Regularized Newton Methods for Convex Multiobjective Optimization
Yuqia Wu, Yue Wang, Yaohua Hu
We investigate a regularized Newton method for unconstrained convex multi-objective optimization with twice continuously differentiable objectives whose Hessians are Lipschitz cont…
A Globalized Semismooth Newton Method for Prox-regular Optimization Problems
Yuqia Wu, Pengcheng Wu, Yaohua Hu +2
We are concerned with a class of nonconvex and nonsmooth composite optimization problems, comprising a twice differentiable function and a prox-regular function. We establish a suf…
An Inexact Projected Regularized Newton Method for Fused Zero-norms Regularization Problems
Yuqia Wu, Shaohua Pan, Xiaoqi Yang
We are concerned with structured -norms regularization problems, with a twice continuously differentiable loss function and a box constraint. This class of problems have a…
KL property of exponent of quadratic functions under nonnegative zero-norm constraints and applications
Shaohua Pan, Yuqia Wu, Shujun Bi
This paper focuses on the quadratic optimization over two classes of nonnegative zero-norm constraints: nonnegative zero-norm sphere constraint and zero-norm simplex constraint, wh…
Kurdyka-Lojasiewicz Property of Zero-Norm Composite Functions
Yuqia Wu, Shaohua Pan, Shujun Bi
This paper focuses on a class of zero-norm composite optimization problems. For this class of nonconvex nonsmooth problems, we establish the Kurdyka-Lojasiewicz property of exponen…