Shu-Tai Yang

collaborators

2 papers

math.OC2026

Optimal Parameter-Free Gradient Minimization in $ℓ_{p}$ Geometry

Shuting Yang, Yuning Yang

We study the first-order oracle complexity of finding a queried point with small gradient in $ℓ_{p}$ geometry, with particular attention to the information needed to adapt the unk…

math.NA2026

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $R^{d}$ and Hilbert Spaces

Shutai Yang, Ya-Xiang Yuan

We establish sharp asymptotic rates for the two Barzilai--Borwein (BB) rules on uniformly positive quadratics and local nonlinear problems. In finite dimensions, for either fixed r…

Optimal Parameter-Free Gradient Minimization in ℓp​ Geometry

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in Rd and Hilbert Spaces

Optimal Parameter-Free Gradient Minimization in $ℓ_{p}$ Geometry

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $R^{d}$ and Hilbert Spaces