提出一种新型多视图聚类方法,通过相位一致的磁性谱学习提升聚类稳定性。
Phase-Consistent Magnetic Spectral Learning for Multi-View Clustering

- 用相位与幅值联合构建复数亲和矩阵,捕捉跨视图方向一致性
- 在30个组合指标中22次最优,27次进入前二,性能显著领先
- 适合处理噪声大、视图差异明显的多源数据聚类任务
无监督多视图聚类(MVC)旨在利用多个视图的互补信息,在无标签情况下将数据划分为有意义的组别,但核心挑战在于如何在视图差异和噪声下获得可靠的共享结构信号以指导表征学习与跨视图对齐。现有方法常依赖仅幅度的亲和矩阵或早期伪标签,当不同视图关联强度相近但方向相反时,易扭曲全局谱几何结构,导致性能下降。本文提出相位一致磁性谱学习(Phase-Consistent Magnetic Spectral Learning),从锚点分配推导出置信度导向的跨视图流,将其编码为相位项,并与非负幅值主干结合形成复数磁性亲和矩阵;通过埃尔米特磁拉普拉斯算子提取稳定共享谱信号,作为结构化自监督信号引导无监督表征学习与聚类。为实现大规模稳健输入,采用基于锚点的高阶共识建模构建紧凑共享结构,并施加轻量级精炼以抑制噪声或不一致关系。在10个公开基准上的实验表明,本方法在30个数据集-指标组合中取得最优结果22次,排名前二达27次,展现出强且广泛一致的性能表现,优于经典与近期主流MVC基线。
原文摘要 · Abstract (English)
Unsupervised multi-view clustering (MVC) aims to partition data into meaningful groups by leveraging complementary information from multiple views without labels, yet a central challenge is to obtain a reliable shared structural signal to guide representation learning and cross-view alignment under view discrepancy and noise. Existing approaches often rely on magnitude-only affinities or early pseudo targets, which can be unstable when different views induce relations with comparable strengths but contradictory directional tendencies, thereby distorting the global spectral geometry and degrading clustering. In this paper, we propose Phase-Consistent Magnetic Spectral Learning for MVC: we derive a confidence-directed cross-view flow from anchor assignments, encode it as a phase term, and combine it with a nonnegative magnitude backbone to form a complex-valued magnetic affinity, extract a stable shared spectral signal via a Hermitian magnetic Laplacian, and use it as structured self-supervision to guide unsupervised multi-view representation learning and clustering. To obtain robust inputs for spectral extraction at scale, we construct a compact shared structure with anchor-based high-order consensus modeling and apply a lightweight refinement to suppress noisy or inconsistent relations. Experiments on ten public benchmarks show that our method achieves the best result on 22 of 30 dataset-metric combinations and ranks among the top two on 27 combinations, demonstrating strong and broadly consistent performance against classical and recent MVC baselines.
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