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math.OC2026

Parallelizable Riemannian Alternating Direction Method of Multipliers for Non-convex Pose Graph Optimization

Xin Chen, Chunfeng Cui, Deren Han +1

Pose graph optimization (PGO) is fundamental to robot perception and navigation systems, serving as the mathematical backbone for solving simultaneous localization and mapping (SLA…

math.OC2025

A Single-loop Proximal Subgradient Algorithm for A Class Structured Fractional Programs

Deren Han, Min Tao, Zihao Xia

In this paper, we investigate a class of nonconvex and nonsmooth fractional programming problems, where the numerator composed of two parts: a convex, nonsmooth function and a diff…

math.OC2024

Extended alternating structure-adapted proximal gradient algorithm for nonconvex nonsmooth problems

Ying Gao, Chunfeng Cui, Wenxing Zhang +1

Alternating structure-adapted proximal (ASAP) gradient algorithm (M. Nikolova and P. Tan, SIAM J Optim, 29:2053-2078, 2019) has drawn much attention due to its efficiency in solvin…

math.OC2024

Non-convex Pose Graph Optimization in SLAM via Proximal Linearized Riemannian ADMM

Xin Chen, Chunfeng Cui, Deren Han +1

Pose graph optimization (PGO) is a well-known technique for solving the pose-based simultaneous localization and mapping (SLAM) problem. In this paper, we represent the rotation an…

math.OC2024

A Bregman Proximal Stochastic Gradient Method with Extrapolation for Nonconvex Nonsmooth Problems

Qingsong Wang, Zehui Liu, Chunfeng Cui +1

In this paper, we explore a specific optimization problem that involves the combination of a differentiable nonconvex function and a nondifferentiable function. The differentiable…