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基于局部低秩分解的缺失标签多标记学习方法OA

Local low-rank decomposition for multi-label learning with missing labels

中文摘要英文摘要

多标记学习在文本分类等实际应用中具有广泛的应用价值,但在真实情况下,由于标签的标注成本高、人工疏忽或数据来源复杂而出现不同程度的缺失,而不完整的监督信息会显著降低模型对标签结构的建模能力.针对传统方法普遍依赖整体低秩假设、难以刻画复杂标签关系的不足,提出一种基于局部低秩分解的缺失标签多标记学习方法(Local Low-Rank Decomposition for Multi-Label Learning with Missing Labels,LLRD-MLML),通过构建标签相关子集并进行低秩建模以挖掘标签间的复杂结构关系;同时,引入局部-全局联合学习机制,实现了局部模型与统一预测模型的融合,并结合图正则化约束以保持样本间结构一致性,采用交替优化策略求解该模型.在多个公开多标记数据集上的实验结果表明,所提方法在不同的标签缺失比例下均取得了较好的性能与稳定性,验证了局部低秩结构建模在缺失标签场景中的有效性.

Multi-label learning has found extensive application in practical scenarios such as text classification.However,in real-world settings,labels are often partially missing due to high annotation costs,human oversight,or complex data collection processes.Such incomplete supervision significantly impairs a model's ability to capture the underlying label structures.Most existing methods rely on a global low-rank assumption to model the label matrix and recover latent label structures.However,this assumption is often inadequate for capturing the complex and diverse relationships among labels.To address this limitation,we propose a Local Low-Rank Decomposition method for Multi-Label Learning with Missing Labels(LLRD-MLML).Our approach constructs label-correlated subsets and applies low-rank modeling to these subsets to uncover complex structural relationships among labels.Furthermore,we introduce a local-global joint learning mechanism that integrates the local models with a unified prediction model.To preserve the structural consistency among samples,a graph regularization constraint is incorporated.The resulting optimization problem is solved using an alternating optimization strategy.Experimental results on multiple public multi-label datasets demonstrate that the proposed method achieves superior performance and stability across various label missing ratios,thereby validating the effectiveness of local low-rank structure modeling in scenarios with missing labels.

李纪蔚;陈琳琳;何强;王恒友

北京建筑大学理学院,北京,100044||北京建筑大学大数据建模与技术研究所,北京,100044北京建筑大学理学院,北京,100044||北京建筑大学大数据建模与技术研究所,北京,100044北京建筑大学理学院,北京,100044||北京建筑大学大数据建模与技术研究所,北京,100044北京建筑大学理学院,北京,100044||北京建筑大学大数据建模与技术研究所,北京,100044

信息技术与安全科学

多标记学习缺失标签局部低秩分解局部-全局学习图正则化

multi-label learningmissing labelslocal low-rank decompositionlocal-global learninggraph regularization

《南京大学学报(自然科学版)》 2026 (4)

562-576,15

国家自然科学基金(12301581,62573036),北京市自然科学基金(4252033)

10.13232/j.cnki.jnju.2026.04.005

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