13 citations · 26 across the 17 of their papers we have counts for
4 papers · 1 filter
Weak and Strong Convergence of Generalized Proximal Point Algorithms with Relaxed Parameters
Hui Ouyang
In this work, we propose and study a framework of generalized proximal point algorithms associated with a maximally monotone operator. We indicate sufficient conditions on the regu…
On angles between convex cones
Heinz H. Bauschke, Hui Ouyang, Xianfu Wang
There are two basic angles associated with a pair of linear subspaces: the Diximier angle and the Friedrichs angle. The Dixmier angle of the pair of orthogonal complements is the s…
Bregman Circumcenters: Monotonicity and Forward Weak Convergence
Hui Ouyang
Recently, we systematically studied the basic theory of Bregman circumcenters in another paper. In this work, we aim to apply Bregman circumcenters to optimization algorithms. Here…
Bregman circumcenters: basic theory
Hui Ouyang, Xianfu Wang
Circumcenters play an important role in the design and analysis of accelerating various iterative methods in optimization. In this work, we propose Bregman (pseudo-)circumcenters a…