H4G: Unlocking Faithful Inference for Zero-Shot Graph Learning in Hyperbolic Space

• URL: http://arxiv.org/abs/2510.12094v1
• Date: Tue, 14 Oct 2025 02:58:57 GMT
• Title: H4G: Unlocking Faithful Inference for Zero-Shot Graph Learning in Hyperbolic Space
• Authors: Heng Zhang, Tianyi Zhang, Zijun Liu, Yuling Shi, Yaomin Shen, Haochen You, Haichuan Hu, Lubin Gan, Jin Huang,
• Abstract summary: Current approaches operate at excessively large hyperbolic radii, compressing multi-scale structural information into uniform high-level abstractions.<n>This abstraction-induced information loss obscures critical local patterns essential for accurate predictions.<n>We propose textbfH4G, a framework that systematically reduces embedding radii using learnable block-diagonal scaling matrices and M"obius matrix multiplication.<n> Experiments show H4G achieves state-of-the-art zero-shot performance with textbf12.8% improvement on heterophilic graphs and textbf8.4% on homo
• Score: 13.686764719918413
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 M\"obius 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.

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