用复数域旋转动态建模时空不对称性,提升位置推荐精度
Mag-Mamba: Modeling Coupled spatiotemporal Asymmetry for POI Recommendation

- 将时空不对称性视为复数域中的相位驱动旋转,构建时间感知的磁力拉普拉斯
- 复数型Mamba模块实现时间与地理先验共同调控的衰减-旋转联合动态
- 在三个真实数据集上超越现有方法,适合城市轨迹推荐场景
下一项兴趣点(POI)推荐是基于位置服务中的关键任务,但面临城市移动中固有的耦合时空不对称性挑战。具体表现为位置间转移意图高度不对称且随时间动态变化。现有方法多基于图或序列主干,依赖对称算子或实值聚合,难以统一建模时变全局方向性。为此,我们提出Mag-Mamba框架,其核心思想是将时空不对称性建模为复数域中的相位驱动旋转动力学。首先设计时间条件磁相位编码器,在地理邻接图上构建时间感知磁力拉普拉斯,利用边相位差刻画全局演化空间方向性。随后引入复数型Mamba模块,将传统标量状态衰减推广为由时间间隔与磁力地理先验共同调控的衰减-旋转联合动态。在三个真实世界数据集上的大量实验表明,Mag-Mamba显著优于当前最优基线。
原文摘要 · Abstract (English)
Next Point-of-Interest (POI) recommendation is a critical task in location-based services, yet it faces the fundamental challenge of coupled spatiotemporal asymmetry inherent in urban mobility. Specifically, transition intents between locations exhibit high asymmetry and are dynamically conditioned on time. Existing methods, typically built on graph or sequence backbones, rely on symmetric operators or real-valued aggregations, struggling to unify the modeling of time-varying global directionality. To address this limitation, we propose Mag-Mamba, a framework whose core insight lies in modeling spatiotemporal asymmetry as phase-driven rotational dynamics in the complex domain. Based on this, we first devise a Time-conditioned Magnetic Phase Encoder that constructs a time-conditioned Magnetic Laplacian on the geographic adjacency graph, utilizing edge phase differences to characterize the globally evolving spatial directionality. Subsequently, we introduce a Complex-valued Mamba module that generalizes traditional scalar state decay into joint decay-rotation dynamics, explicitly modulated by both time intervals and magnetic geographic priors. Extensive experiments on three real-world datasets demonstrate that Mag-Mamba achieves significant performance improvements over state-of-the-art baselines.
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