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20242026
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math.OC2026

MoSSP: A Momentum-Based Single-Loop Stochastic Penalty Method for Nonconvex Constrained DC-Regularized Optimization

Luxuan Li, Chunfeng Cui, Xiao Wang

In this paper, we study a structured class of nonconvex constrained stochastic problems with difference-of-convex (DC) regularization, where the feasible set is possibly nonconvex…

math.OC2026

Blind Hyperspectral and Multispectral Images Fusion: A Unified Tensor Fusion Framework from Coupled Inverse Problem Perspective

Ying Gao, Michael K. Ng, Chunfeng cui

Hyperspectral and multispectral images fusion aims at integrating a low-resolution hyperspectral image (LR-HSI) and a high-resolution multispectral image (HR-MSI) to construct a hi…

math.OC2026

Narrowing the Gap: SOS Ranks of Biquadratic Forms and a Lower Bound of

Yi Xu, Chunfeng Cui, Liqun Qi

We investigate the maximum sum-of-squares (SOS) rank of biquadratic forms in the critical case of variables, where the general bounds are currently $7 \leq \mathrm{BSR…

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

DualHash: A Stochastic Primal-Dual Algorithm with Theoretical Guarantee for Deep Hashing

Luxuan Li, Xiao Wang, Chunfeng Cui

Deep hashing converts high-dimensional feature vectors into compact binary codes, enabling efficient large-scale retrieval. A fundamental challenge in deep hashing stems from the d…

math.OC2025

Multi-step Inertial Accelerated Doubly Stochastic Gradient Methods for Block Term Tensor Decomposition

Zehui Liu, Qingsong Wang, Chunfeng Cui

In this paper, we explore a specific optimization problem that combines a differentiable nonconvex function with a nondifferentiable function for multi-block variables, which is pa…