arXiv:2509.08401cs.LG2025-09被引 1

揭示图模型预训练中的双重困境并提出解决方案

Two Facets of the Same Optimization Coin: Model Degradation and Representation Collapse in Graph Foundation Models

  • 通过边级语义融合与多代码本路由提升信息容量
  • 在22个数据集上实现监督、少样本和零样本显著提升
  • 适合关注图模型泛化能力与优化稳定性的研究者

受大语言模型成功启发,图基础模型(GFMs)旨在从多领域文本属性图中学习最优嵌入函数,以实现下游跨任务泛化。其中,图VQ-MAE因其能将拓扑与文本属性联合编码至具有清晰语义边界的离散空间而脱颖而出。然而,域泛化冲突带来隐性挑战:侧1模型退化——编码器与代码本无法捕捉输入多样性;侧2表示坍缩——隐藏嵌入与代码本向量因受限于狭窄表示子空间而丧失语义可分性。二者共同导致解码器生成低质量重建监督信号,引发预训练优化困境。实证分析表明,根源在于信息瓶颈与正则化缺失。为此,提出MoT框架:(1) 信息修补——采用边级语义融合与领域感知路由的混合代码本策略增强信息容量;(2) 正则化修补——引入两项额外正则化以强化梯度监督。该架构符合图模型扩展规律,可调控规模。在6个领域的22个数据集上,相比最先进基线,MoT在监督、少样本和零样本场景均取得显著提升。

原文摘要 · Abstract (English)

Inspired by the success of LLMs, GFMs are designed to learn the optimal embedding functions from multi-domain text-attributed graphs for the downstream cross-task generalization capability. Among the diverse architectures, graph VQ-MAE stands out among the increasingly diverse landscape of GFM. This is attributed to its ability to jointly encode topology and textual attributes from multiple domains into discrete embedding spaces with clear semantic boundaries. Despite its potential, domain generalization conflicts cause imperceptible pitfalls. In this paper, we instantiate two of them, and they are just like two sides of the same GFM optimization coin - Side 1 Model Degradation: The encoder and codebook fail to capture the diversity of inputs; Side 2 Representation Collapse: The hidden embedding and codebook vector fail to preserve semantic separability due to constraints from narrow representation subspaces. These two pitfalls (sides) collectively impair the decoder and generate the low-quality reconstructed supervision, causing the GFM optimization dilemma during pre-training (coin). Through empirical investigation, we attribute the above challenges to Information Bottleneck and Regularization Deficit. To address them, we propose MoT - (1) Information Tinker for Two Pitfalls, which utilizes an edge-wise semantic fusion strategy and a mixture-of-codebooks with domain-aware routing to improve information capacity. (2) Regularization Tinker for Optimization Coin, which utilizes two additional regularizations to further improve gradient supervision in our proposed Information Tinker. Notably, as a flexible architecture, MoT adheres to the scaling laws of GFM, offering a controllable model scale. Compared to SOTA baselines, experiments on 22 datasets across 6 domains demonstrate that MoT achieves significant improvements in supervised, few-shot, and zero-shot scenarios.

图神经网络预训练优化困境多模态

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