通过缩小嵌入半径,提升异构图零样本学习的细粒度表征能力。
H4G: Unlocking Faithful Inference for Zero-Shot Graph Learning in Hyperbolic Space
- 用可学习的块对角缩放矩阵降低嵌入半径,保留局部结构细节。
- 在异构图上提升12.8%,同构图上提升8.4%,达到当前最优零样本性能。
- 适合关注细粒度模式识别与超球空间表示的图学习研究者。
文本属性图在多个领域广泛应用,为通过图-文对齐实现零样本学习提供了丰富机会。然而,现有方法在需要细粒度模式识别的任务上表现不佳,尤其在异构图上。通过实证与理论分析,我们发现一个过抽象问题:当前方法在过大的超球半径下运行,将多尺度结构信息压缩为统一的高层抽象,导致关键局部模式丢失。分析超球空间中的嵌入后发现,最优图学习需忠实保留细粒度结构细节,这在靠近原点的表示中更易实现。为此,我们提出H4G框架,通过可学习的块对角缩放矩阵与莫比乌斯矩阵乘法系统性减小嵌入半径。该方法在保持全局感知能力的同时,以极低计算开销恢复细粒度模式访问。实验表明,H4G在异构图上实现12.8%的性能提升,在同构图上提升8.4%,验证了半径减小能有效支持零样本图学习的多尺度忠实表征。
原文摘要 · Abstract (English)
Text-attributed graphs are widely used across domains, offering rich opportunities for zero-shot learning via graph-text alignment. However, existing methods struggle with tasks requiring fine-grained pattern recognition, particularly on heterophilic graphs. Through empirical and theoretical analysis, we identify an \textbf{over-abstraction problem}: current approaches operate at excessively large hyperbolic radii, compressing multi-scale structural information into uniform high-level abstractions. This abstraction-induced information loss obscures critical local patterns essential for accurate predictions. By analyzing embeddings in hyperbolic space, we demonstrate that optimal graph learning requires \textbf{faithful preservation} of fine-grained structural details, better retained by representations positioned closer to the origin. To address this, we propose \textbf{H4G}, a framework that systematically reduces embedding radii using learnable block-diagonal scaling matrices and Möbius matrix multiplication. This approach restores access to fine-grained patterns while maintaining global receptive ability with minimal computational overhead. Experiments show H4G achieves state-of-the-art zero-shot performance with \textbf{12.8\%} improvement on heterophilic graphs and \textbf{8.4\%} on homophilic graphs, confirming that radius reduction enables faithful multi-scale representation for advancing zero-shot graph learning.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。