Concept Factorization via Self-Representation and Adaptive Graph Structure Learning

Fuente: arXiv
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Auteurs principaux: Yang, Zhengqin, Wu, Di, Chen, Jia, Luo, Xin
Format: Preprint
Publié: 2025
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author Yang, Zhengqin
Wu, Di
Chen, Jia
Luo, Xin
author_facet Yang, Zhengqin
Wu, Di
Chen, Jia
Luo, Xin
contents Concept Factorization (CF) models have attracted widespread attention due to their excellent performance in data clustering. In recent years, many variant models based on CF have achieved great success in clustering by taking into account the internal geometric manifold structure of the dataset and using graph regularization techniques. However, their clustering performance depends greatly on the construction of the initial graph structure. In order to enable adaptive learning of the graph structure of the data, we propose a Concept Factorization Based on Self-Representation and Adaptive Graph Structure Learning (CFSRAG) Model. CFSRAG learns the affinity relationship between data through a self-representation method, and uses the learned affinity matrix to implement dynamic graph regularization constraints, thereby ensuring dynamic learning of the internal geometric structure of the data. Finally, we give the CFSRAG update rule and convergence analysis, and conduct comparative experiments on four real datasets. The results show that our model outperforms other state-of-the-art models.
format Preprint
id arxiv_https___arxiv_org_abs_2505_03390
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Concept Factorization via Self-Representation and Adaptive Graph Structure Learning
Yang, Zhengqin
Wu, Di
Chen, Jia
Luo, Xin
Machine Learning
Concept Factorization (CF) models have attracted widespread attention due to their excellent performance in data clustering. In recent years, many variant models based on CF have achieved great success in clustering by taking into account the internal geometric manifold structure of the dataset and using graph regularization techniques. However, their clustering performance depends greatly on the construction of the initial graph structure. In order to enable adaptive learning of the graph structure of the data, we propose a Concept Factorization Based on Self-Representation and Adaptive Graph Structure Learning (CFSRAG) Model. CFSRAG learns the affinity relationship between data through a self-representation method, and uses the learned affinity matrix to implement dynamic graph regularization constraints, thereby ensuring dynamic learning of the internal geometric structure of the data. Finally, we give the CFSRAG update rule and convergence analysis, and conduct comparative experiments on four real datasets. The results show that our model outperforms other state-of-the-art models.
title Concept Factorization via Self-Representation and Adaptive Graph Structure Learning
topic Machine Learning
url https://arxiv.org/abs/2505.03390