1 citations · 2 across the 7 of their papers we have counts for
7 papers
On the proximal point algorithms for solving the monotone inclusion problem
Tao Zhang, Shiru Li, Yong Xia
We consider finding a zero point of the maximally monotone operator . First, instead of using the proximal point algorithm (PPA) for this purpose, we employ PPA to solve its Yos…
Solving separable convex optimization problems: Faster prediction-correction framework
Tao Zhang, Yong Xia, Shiru Li
He and Yuan's prediction-correction framework [SIAM J. Numer. Anal. 50: 700-709, 2012] is able to provide convergent algorithms for solving separable convex optimization problems a…
Construction of multipartite unextendible product bases and geometric measure of entanglement of positive-partial-transpose entangled states
Yize Sun, Baoshan Wang, Shiru Li
In quantum information theory, it is a fundamental problem to construct multipartite unextendible product bases (UPBs). We show that there exist two families UPBs in Hilbert space…
A family of Barzilai-Borwein steplengths from the viewpoint of scaled total least squares
Shiru Li, Tao Zhang, Yong Xia
The Barzilai-Borwein (BB) steplengths play great roles in practical gradient methods for solving unconstrained optimization problems. Motivated by the observation that the two well…
Alternating direction method of multipliers for convex programming: a lift-and-permute scheme
Shiru Li, Yong Xia, Tao Zhang
A lift-and-permute scheme of alternating direction method of multipliers (ADMM) is proposed for linearly constrained convex programming. It contains not only the newly developed ba…
Simultaneous perturbation stochastic approximation: towards one-measurement per iteration
Shiru Li, Yong Xia, Zi Xu
When measuring the value of a function to be minimized is not only expensive but also with noise, the popular simultaneous perturbation stochastic approximation (SPSA) algorithm re…
A new Barzilai-Borwein steplength from the viewpoint of total least squares
Shiru Li, Yong Xia
Barzilai-Borwein (BB) steplength is a popular choice in gradient descent method. By observing that the two existing BB steplengths correspond to the ordinary and the data least squ…