5 papers
A Near-Optimal Total Complexity for the Inexact Accelerated Proximal Gradient Method via Quadratic Growth
Hongda Li, Xianfu Wang
We consider the optimization problem , where is an -Lipschitz smooth function, and is a proper, lower semicontinuous, and co…
On Bauschke-Bendit-Moursi modulus of averagedness and classifications of averaged nonexpansive operators
Shuang Song, Xianfu Wang
Averaged operators are important in Convex Analysis and Optimization Algorithms. In this paper, we propose classifications of averaged operators, firmly nonexpansive operators, and…
On the Bredies-Chenchene-Lorenz-Naldi algorithm
Heinz H. Bauschke, Walaa M. Moursi, Shambhavi Singh +1
Monotone inclusion problems occur in many areas of optimization and variational analysis. Splitting methods, which utilize resolvents or proximal mappings of the underlying operato…
Relaxed Weak Accelerated Proximal Gradient Method: a Unified Framework for Nesterov's Accelerations
Hongda Li, Xianfu Wang
This paper is devoted to the study of accelerated proximal gradient methods where the sequence that controls the momentum term doesn't follow Nesterov's rule. We propose a relaxed…
Projecting onto rectangular hyperbolic paraboloids in Hilbert space
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
In , a hyperbolic paraboloid is a classical saddle-shaped quadric surface. Recently, Elser has modeled problems arising in Deep Learning using rectangular hyperbolic…