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math.OC2022★ 1 cited
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…
math.OC2022
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…
math.OC2022
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…