arXiv:2504.04015cs.LGstat.ML2025-04

用多分辨率扩散模型统一建模灾害系统的因果关系与动态演化。

Multi-resolution Score-Based Variational Graphical Diffusion for Causal Disaster System Modeling and Inference

  • 为每个变量构建原生分辨率的SDE,通过因果得分机制耦合
  • 在地震、飓风、火灾数据上预测精度显著提升,低数据量下仍稳定
  • 适合处理异源、稀疏观测的灾害系统建模,尤其擅长静态与动态混合场景

具有复杂因果依赖的系统难以准确预测。有效建模需精确表达物理过程、整合相互依赖因素,并融合多分辨率观测数据。此类系统既包括瞬时因果链的静态场景,也包含随时间演化的动态场景,增加建模难度。现有方法难以同时应对不同分辨率、捕捉物理关系、建模因果依赖及处理不一致采样数据。本文提出Temporal-SVGDM:用于多分辨率观测的基于得分的变分图扩散模型。框架为每个变量在其原生分辨率下构建独立SDE,再通过因果得分机制将父节点信息传递给子节点以耦合各SDE,实现对静态即时因果效应与动态演变关系的统一建模。在时间模型中,状态表示经序列预测模型处理,基于历史模式和因果关系预测未来状态。在真实数据集上的实验表明,相比现有方法,本模型在预测精度和因果理解上均有提升,且在不同背景知识水平下表现稳健。模型对各类灾害均具良好适应性,能成功处理静态地震场景与动态飓风、火灾场景,在数据有限条件下仍保持优异性能。

原文摘要 · Abstract (English)

Complex systems with intricate causal dependencies challenge accurate prediction. Effective modeling requires precise physical process representation, integration of interdependent factors, and incorporation of multi-resolution observational data. These systems manifest in both static scenarios with instantaneous causal chains and temporal scenarios with evolving dynamics, complicating modeling efforts. Current methods struggle to simultaneously handle varying resolutions, capture physical relationships, model causal dependencies, and incorporate temporal dynamics, especially with inconsistently sampled data from diverse sources. We introduce Temporal-SVGDM: Score-based Variational Graphical Diffusion Model for Multi-resolution observations. Our framework constructs individual SDEs for each variable at its native resolution, then couples these SDEs through a causal score mechanism where parent nodes inform child nodes' evolution. This enables unified modeling of both immediate causal effects in static scenarios and evolving dependencies in temporal scenarios. In temporal models, state representations are processed through a sequence prediction model to predict future states based on historical patterns and causal relationships. Experiments on real-world datasets demonstrate improved prediction accuracy and causal understanding compared to existing methods, with robust performance under varying levels of background knowledge. Our model exhibits graceful degradation across different disaster types, successfully handling both static earthquake scenarios and temporal hurricane and wildfire scenarios, while maintaining superior performance even with limited data.

因果建模扩散模型灾害预测多分辨率

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