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20232026
most citedAdaptive Multi-Order Graph Regularized NMF with Dual Sparsity for Hyperspectral Unmixing

8 citations · 8 across the 22 of their papers we have counts for

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12 papers · 1 filter

math.OC2026

An Alternating Minimization Algorithm for Federated Sparse Orthogonal Nonnegative Matrix Factorization

Yanjiao Zhu, Xianchao Xiu, Yongyang Xiong +1

In this paper, we develop an alternating minimization algorithm for federated sparse orthogonal nonnegative matrix factorization (ONMF) with emphases on controlling client drift. T…

math.OC2026

OptGraph: Large Language Models Enhanced Evolutionary Optimization Via Graph Retrieval-Augmented Generation

Xianchao Xiu, Jianhao Li, Huangyue Chen +1

Large language models (LLMs) have emerged as a powerful tool for automated evolutionary optimization, but existing methods remain limited in pattern reuse, error-aware refinement,…

math.OC2026

Vehicle Routing Problem Meets Large Language Models: An Overview and Perspectives

Xianchao Xiu, Chong Shen, Yanjiao Zhu +1

The vehicle routing problem (VRP) is a central optimization problem in artificial intelligence, logistics automation, transportation scheduling, and industrial decision-making. VRP…

math.OC2026

Large Language Models for Operations Research: A Comprehensive Survey

Xianchao Xiu, Jianhao Li, Jun Fan +1

Operations Research (OR) serves as a core decision-support methodology for complex systems, with significant applications across mathematics, management science, and computer scien…

math.OC2026

New Bounds for Exact Penalized Cardinality-Constrained Optimization with Pseudonormality Conditions

Lili Pan, Huilin Xie, Xianchao Xiu +1

Cardinality-constrained optimization (CCO) is a popular topic in sparse learning and signal recovery, yet remains challenging due to the inherent nonconvexity and discontinuity of…

math.OC2025

Robust Sparse Phase Retrieval: Statistical Guarantee, Optimality Theory and Convergent Algorithm

Jun Fan, Ailing Yan, Xianchao Xiu +1

Phase retrieval (PR) is a popular research topic in signal processing and machine learning. However, its performance degrades significantly when the measurements are corrupted by n…

math.OC2025

Sparse Tensor CCA via Manifold Optimization for Multi-View Learning

Yanjiao Zhu, Wanquan Liu, Xianchao Xiu +1

Tensor canonical correlation analysis (TCCA) has garnered significant attention due to its effectiveness in capturing high-order correlations in multi-view learning. However, exist…

math.OC2025

A Fast and Convergent Algorithm for Unassigned Distance Geometry Problems

Jun Fan, Xiaoya Shan, Xianchao Xiu

In this paper, we propose a fast and convergent algorithm to solve unassigned distance geometry problems (uDGP). Technically, we construct a novel quadratic measurement model by le…

math.OC2025

Multi-View Clustering Meets Heterogenous Data: A Fusion Regularized Method

Xiangru Xing, Yan Li, Xin Wang +2

Multi-view clustering leverages consistent and complementary information across multiple views to provide more comprehensive insights than single-view analysis. However, the hetero…

math.OC2025

Enhancing Unsupervised Feature Selection via Double Sparsity Constrained Optimization

Xianchao Xiu, Anning Yang, Chenyi Huang +2

Unsupervised feature selection (UFS) is widely applied in machine learning and pattern recognition. However, most of the existing methods only consider a single sparsity, which mak…

math.OC2024

Bi-Sparse Unsupervised Feature Selection

Xianchao Xiu, Chenyi Huang, Pan Shang +1

To deal with high-dimensional unlabeled datasets in many areas, principal component analysis (PCA) has become a rising technique for unsupervised feature selection (UFS). However,…

math.OC2023

Revisiting Norm Regularized Optimization

Shenglong Zhou, Xianchao Xiu, Yingnan Wang +1

Sparse optimization has seen its advances in recent decades. For scenarios where the true sparsity is unknown, regularization turns out to be a promising solution. Two popular non-…