From the 1 of 4 linked papers with an AI index.
4 papers
Optimal Convex Optimization with Inexact Second-Order Oracles
Lesi Chen, Chengchang Liu, Luo Luo +2
In this paper, we present a novel second-order method called Accelerated Inexact Newton Extragradient (AINE) for convex optimization using -inexact Hessians. We show that AINE…
Faster Newton Methods for Convex and Nonconvex Optimization in Gradient Complexity
Lesi Chen, Chengchang Liu, Luo Luo +1
The paper proposes new second‑order optimization algorithms that reduce the gradient complexity for both convex and nonconvex problems, establishing tighter theoretical bounds than…
Solving Convex-Concave Problems with Second-Order Oracle Complexity
Lesi Chen, Chengchang Liu, Luo Luo +1
Previous algorithms can solve convex-concave minimax problems with second-order oracle calls usi…
An Enhanced Levenberg--Marquardt Method via Gram Reduction
Chengchang Liu, Luo Luo, John C. S. Lui
This paper studied the problem of solving the system of nonlinear equations , where . We propose Gram-Reduced Lev…