arXiv:2505.11552cs.IRcs.AI2025-05被引 2

通过用户交互顺序增强物品关系,提升推荐模型精度。

GSPRec: On Improving Item Representations in Graph Signal Processing for Collaborative Filtering

  • 基于用户交互顺序构建物品间关联,生成更丰富的谱表示。
  • 在4个真实数据集上平均提升NDCG@10达5.12%。
  • 适合关注推荐系统中物品语义结构建模的研究者。

基于图的协同过滤方法在频域表现为低通滤波器,丢弃了蕴含社区级用户偏好的中频分量。现有基于图信号处理(GSP)的方法通过复杂滤波设计缓解此问题,但仅从用户-物品交互矩阵中提取物品表示。该矩阵仅记录用户互动的物品列表,未捕捉物品在用户交互序列中的邻近关系。本文提出GSPRec,一种图谱协同过滤框架,通过引入用户交互顺序中提取的物品-物品邻近性,增强物品的谱表示。GSPRec从用户交互顺序构建物品-物品边,并通过多跳扩散与指数衰减强化边权。统一图拓扑融合扩散后的边与用户-物品交互。由此生成的拉普拉斯矩阵揭示了中频结构,使高斯带通滤波器可选择性放大。低通滤波器保留广泛流行趋势。在四个真实数据集上的实验表明,GSPRec超越所有基线图协同过滤方法,平均提升NDCG@10达5.12%。消融研究证实图构建与滤波设计紧密耦合:无带通滤波器的GSPRec性能低于所有基线;而无物品邻近性的版本仍优于基线。

原文摘要 · Abstract (English)

Graph-based collaborative filtering methods act as low-pass filters in the spectral domain and discard the intermediate-frequency components where community-level user preferences reside. Existing GSP-based methods address the loss through sophisticated filter designs, yet derive item representations from the user-item interaction matrix alone. The interaction matrix captures which items each user interacted with, but not which items appear close together in users' interaction sequences. We propose GSPRec, a graph spectral collaborative filtering framework that produces richer item spectral representations by incorporating item-item proximity derived from user interaction ordering before spectral filtering. GSPRec derives item-item edges from user interaction ordering and strengthens the edges through multi-hop diffusion with exponential decay. The unified graph topology incorporates the diffused edges alongside user-item interactions. The resulting Laplacian exposes intermediate-frequency structure that a Gaussian bandpass filter selectively amplifies. A low-pass filter retains broad popularity trends. Experiments on four real-world datasets show that GSPRec outperforms all graph CF baselines, with average improvements of 5.12% in NDCG@10. Ablation studies establish that graph construction and filter design are coupled. GSPRec without the bandpass filter falls below every GSP baseline, whereas GSPRec without item-item proximity still surpasses baselines.

推荐系统图神经网络谱方法

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