用物理方程建模意见演化,兼顾可解释性与预测精度。
Advancing Opinion Dynamics Modeling with Neural Diffusion-Convection-Reaction Equation
- 基于扩散-对流-反应方程构建神经动力学模型,融合物理先验。
- 在真实与合成数据上实现领先的意见演化预测性能。
- 适合关注社会计算、可解释人工智能的研究者。
先进的意见动态建模对于理解社会行为至关重要,尤其在缓解极化和保障网络空间安全方面。为结合机制可解释性与数据驱动灵活性,近期研究探索了将物理信息神经网络(PINNs)用于意见建模。然而,现有方法依赖不完整的先验,缺乏整合局部、全局及内生动态的完整物理系统。此外,现有方法采用惩罚项约束,难以深度编码物理先验,导致优化病态及隐变量表示与物理透明性之间的偏差。为此,我们提出一种基于相互作用粒子理论的扩散-对流-反应(DCR)系统,从物理视角解释意见动态。基于神经微分方程,定义神经意见动力学以协调神经网络与物理先验,并进一步提出OPINN——一种用于意见动态建模的物理信息神经框架。在真实世界与合成数据集上的评估表明,OPINN在意见演化预测中达到当前最优性能,为网络、物理与社会系统的交汇提供了有前景的新范式。
原文摘要 · Abstract (English)
Advanced opinion dynamics modeling is vital for deciphering social behavior, emphasizing its role in mitigating polarization and securing cyberspace. To synergize mechanistic interpretability with data-driven flexibility, recent studies have explored the integration of Physics-Informed Neural Networks (PINNs) for opinion modeling. Despite this promise, existing methods are tailored to incomplete priors, lacking a comprehensive physical system to integrate dynamics from local, global, and endogenous levels. Moreover, penalty-based constraints adopted in existing methods struggle to deeply encode physical priors, leading to optimization pathologies and discrepancy between latent representations and physical transparency. To this end, we offer a physical view to interpret opinion dynamics via Diffusion-Convection-Reaction (DCR) system inspired by interacting particle theory. Building upon the Neural ODEs, we define the neural opinion dynamics to coordinate neural networks with physical priors, and further present the OPINN, a physics-informed neural framework for opinion dynamics modeling. Evaluated on real-world and synthetic datasets, OPINN achieves state-of-the-art performance in opinion evolution forecasting, offering a promising paradigm for the nexus of cyber, physical, and social systems.
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