1 citations · 2 across the 6 of their papers we have counts for
8 papers
Variational convexity: new characterizations, calculus rules, and applications
Radu Ioan Bot, Ziyuan Wang
Introduced by R.T. Rockafellar in 2019, variational convexity is a generalized notion of convexity under which stationary points of nonconvex optimization problems can still be gua…
Level proximal subdifferential, variational convexity, and pointwise quadratic approximation
Honglin Luo, Xianfu Wang, Ziyuan Wang +1
Level proximal subdifferential was introduced by Rockafellar recently for studying proximal mappings of possibly nonconvex functions. In this paper a systematic study of level prox…
Every proximal mapping is a resolvent of level proximal subdifferential
Xianfu Wang, Ziyuan Wang
We propose a level proximal subdifferential for a proper lower semicontinuous function. Level proximal subdifferential is a uniform refinement of the well-known proximal subdiffere…
A mirror inertial forward-reflected-backward splitting: Global convergence and linesearch extension beyond convexity and Lipschitz smoothness
Ziyuan Wang, Andreas Themelis, Hongjia Ou +1
This work investigates a Bregman and inertial extension of the forward-reflected-backward algorithm [Y. Malitsky and M. Tam, SIAM J. Optim., 30 (2020), pp. 1451--1472] applied to s…
A Bregman inertial forward-reflected-backward method for nonconvex minimization
Xianfu Wang, Ziyuan Wang
We propose a Bregman inertial forward-reflected-backward (BiFRB) method for nonconvex composite problems. Our analysis relies on a novel approach that imposes general conditions on…
Malitsky-Tam forward-reflected-backward splitting method for nonconvex minimization problems
Xianfu Wang, Ziyuan Wang
We extend the Malitsky-Tam forward-reflected-backward (FRB) splitting method for inclusion problems of monotone operators to nonconvex minimization problems. By assuming the genera…
Calculus rules of the generalized concave Kurdyka-Łojasiewicz property
Xianfu Wang, Ziyuan Wang
In this paper, we propose several calculus rules for the generalized concave Kurdyka-Łojasiewicz (KL) property, which generalize Li and Pong's results for KL exponents. The optimal…
The exact modulus of the generalized concave Kurdyka-Łojasiewicz property
Xianfu Wang, Ziyuan Wang
We introduce a generalized version of the concave Kurdyka-Łojasiewicz (KL) property by employing nonsmooth desingularizing functions. We also present the exact modulus of the gener…