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math.OC2026
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 c…
math.OC2026
Stochastic Non-Smooth Non-Convex Optimization with Decision-Dependent Distributions
Chengchang Liu, Zongqi Wan, Haishan Ye +1
We study stochastic zeroth-order optimization with decision-dependent distributions, where the sampling law depends on the current decision and only noisy function values are avail…
math.OC2026
Second-Order Bilevel Optimization with Accelerated Convergence Rates
Sheng Yang, Chengchang Liu, Lesi Chen +1
This paper studies second-order methods for nonconvex-strongly-convex bilevel optimization. We propose a novel fully second-order bilevel approximation method (FSBA) that achieves…