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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

Inertial Accelerated Stochastic Mirror Descent for Large-Scale Generalized Tensor CP Decomposition

Zehui Liu, Qingsong Wang, Chunfeng Cui +1

The majority of classic tensor CP decomposition models are designed for squared loss, employing Euclidean distance as a local proximal term. However, the Euclidean distance is unsu…

cs.LG2024

A Momentum Accelerated Algorithm for ReLU-based Nonlinear Matrix Decomposition

Qingsong Wang, Chunfeng Cui, Deren Han

Recently, there has been a growing interest in the exploration of Nonlinear Matrix Decomposition (NMD) due to its close ties with neural networks. NMD aims to find a low-rank matri…

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…