3 citations · 4 across the 5 of their papers we have counts for
5 papers
Global Complexity Bound of a Proximal ADMM for Linearly-Constrained Nonseperable Nonconvex Composite Programming
Weiwei Kong, Renato D. C. Monteiro
This paper proposes and analyzes a dampened proximal alternating direction method of multipliers (DP.ADMM) for solving linearly-constrained nonconvex optimization problems where th…
FISTA and Extensions -- Review and New Insights
Weiwei Kong, Jefferson G. Melo, Renato D. C. Monteiro
The purpose of this technical report is to review the main properties of an accelerated composite gradient (ACG) method commonly referred to as the Fast Iterative Shrinkage-Thresho…
Accelerated Inexact First-Order Methods for Solving Nonconvex Composite Optimization Problems
Weiwei Kong
This thesis focuses on developing and analyzing accelerated and inexact first-order methods for solving or finding stationary points of various nonconvex composite optimization (NC…
Iteration-complexity of a proximal augmented Lagrangian method for solving nonconvex composite optimization problems with nonlinear convex constraints
Weiwei Kong, Jefferson G. Melo, Renato D. C. Monteiro
This paper proposes and analyzes a proximal augmented Lagrangian (NL-IAPIAL) method for solving smooth nonconvex composite optimization problems with nonlinear -convex cons…
Accelerated Inexact Composite Gradient Methods for Nonconvex Spectral Optimization Problems
Weiwei Kong, Renato D. C. Monteiro
This paper presents two inexact composite gradient methods, one inner accelerated and another doubly accelerated, for solving a class of nonconvex spectral composite optimization p…