3 papers
math.OC2026
Toward a Systematic Understanding and Interactive Search of Lyapunov-Style Proofs in Optimization
TaeHo Yoon, Jaewook J. Suh, Edward Duc Hien Nguyen +2
Lyapunov-style convergence proofs, which establish a nonincreasing sequence to provide a quantitative convergence rate for an algorithm, are popular and often considered desirable…
math.OC2025
On Relatively Smooth Optimization over Riemannian Manifolds
Chang He, Jiaxiang Li, Bo Jiang +2
We study optimization over Riemannian embedded submanifolds, where the objective function is relatively smooth in the ambient Euclidean space. Such problems have broad applications…
math.OC2025
Fully First-Order Methods for Decentralized Bilevel Optimization
Xiaoyu Wang, Xuxing Chen, Shiqian Ma +1
This paper focuses on decentralized stochastic bilevel optimization (DSBO) where agents only communicate with their neighbors. We propose Decentralized Stochastic Gradient Descent…