用双曲空间提升不完整多视图聚类的语义清晰度
Hyperbolic Enhanced Representation Learning for Incomplete Multi-view Clustering

- 在庞加莱球中构建结构感知表示空间
- 通过角度与距离双约束优化语义一致性和层次紧凑性
- 适合处理具有层级结构的数据聚类任务
不完整多视图聚类(IMVC)面临从不完整观测中学习判别性表示并保持对缺失视图鲁棒性的挑战。现有基于欧氏空间的方法在建模具有内在层级结构的真实数据时存在几何不匹配问题,导致语义模糊,表示向空间邻近但语义不同的邻居漂移。为此,本文提出超球增强表示学习框架HERL,其在庞加莱球内运行,构建结构感知的潜在空间以提升表示学习效果。具体而言,设计了双约束超球对比机制:基于角度的损失用于通过方向对齐保留语义身份,基于距离的损失用于强化层次紧凑性。此外,引入超球原型头,通过对齐跨视图层次感知的原型分布来修正全局结构漂移。结果表明,HERL能解耦细粒度语义关联,锐化聚类边界,并施加几何约束以纠正数据恢复过程。大量实验显示,HERL持续优于现有最优方法。
原文摘要 · Abstract (English)
Incomplete Multi-View Clustering (IMVC) faces the challenge of learning discriminative representations from fragmentary observations while maintaining robustness against missing views. However, prevalent Euclidean-based methods suffer from a geometric mismatch when modeling real-world data with intrinsic hierarchies, leading to semantic blurring where representations drift towards spatially proximal but semantically distinct neighbors. To bridge this gap, we propose HERL, a Hyperbolic Enhanced Representation Learning framework for IMVC. Operating within the Poincaré ball, HERL constructs a structure-aware latent space to enhance representation learning. Specifically, we design a dual-constraint hyperbolic contrastive mechanism optimizing: an angular-based loss to preserve semantic identity via directional alignment, and a distance-based loss to enforce hierarchical compactness. Furthermore, a hyperbolic prototype head is introduced to rectify global structural drift by aligning cross-view hierarchy-aware prototype distributions. Consequently, HERL disentangles fine-grained semantic correlations to sharpen cluster boundaries and imposes geometric constraints to rectify the data recovery process. Extensive experimental results demonstrate that HERL consistently outperforms state-of-the-art approaches.
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