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math.OC2026
The Minimum Q-Order of BFGS with Exact Line Search Is One
Benqi Liu, Chenyi Li, Zaiwen Wen
Powell asked whether the smoothness assumptions underlying classical superlinear convergence force a fixed power law between adjacent iterates of exact-line-search variable-metric…
math.OC2025
Accelerated Natural Gradient Method for Parametric Manifold Optimization
Chenyi Li, Shuchen Zhu, Zhonglin Xie +1
Parametric manifold optimization problems frequently arise in various machine learning tasks, where state functions are defined on infinite-dimensional manifolds. We propose a unif…
math.OC2024
Formalization of Complexity Analysis of the First-order Algorithms for Convex Optimization
Chenyi Li, Ziyu Wang, Wanyi He +3
The convergence rate of various first-order optimization algorithms is a pivotal concern within the numerical optimization community, as it directly reflects the efficiency of thes…