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math.OC2025
The Global R-linear Convergence of Nesterov's Accelerated Gradient Method with Unknown Strongly Convex Parameter
Chenglong Bao, Liang Chen, Jiahong Li
The Nesterov accelerated gradient (NAG) method is an important extrapolation-based numerical algorithm that accelerates the convergence of the gradient descent method in convex opt…
math.OC2025
On the robust isolated calmness of a class of nonsmooth optimizations on Riemannian manifolds and its applications
Chenglong Bao, Chao Ding, Yuexin Zhou
This paper studies the robust isolated calmness property of the KKT solution mapping of a class of nonsmooth optimization problems on Riemannian manifolds. The manifold versions of…
math.OC2024
Averaging Orientations with Molecular Symmetry in Cryo-EM
Qi Zhang, Chenglong Bao, Hai Lin +1
Cryogenic electron microscopy (cryo-EM) is an invaluable technique for determining high-resolution three-dimensional structures of biological macromolecules using transmission part…