48 citations · 199 across the 83 of their papers we have counts for
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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 conv…
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…
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…
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…
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…
Real roots of real cubics and optimization
Heinz H. Bauschke, Manish Krishan Lal, Xianfu Wang
The solution of the cubic equation has a century-long history; however, the usual presentation is geared towards applications in algebra and is somewhat inconvenient to use in opti…