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math.OC2025
A Parameter-Free Stochastic LineseArch Method (SLAM) for Minimizing Expectation Residuals
Qi Wang, Uday V. Shanbhag, Yue Xie
Most existing rate and complexity guarantees for stochastic gradient methods in -smooth settings mandates that such sequences be non-adaptive, non-increasing, and upper bounded…
math.OC2025
On the resolution of -norm minimization via a two-metric adaptive projection method
Hanju Wu, Yue Xie
In this work, we propose an efficient two-metric adaptive projection method for solving the -norm minimization problem. Our approach is inspired by the two-metric projectio…
math.OC2024
A study on two-metric projection methods
Hanju Wu, Yue Xie
The two-metric projection method is a simple yet elegant algorithm proposed by Bertsekas in 1984 to address bound/box-constrained optimization problems. The algorithm's low per-ite…