Bilateral Trade Flow Prediction by Gravity-informed Graph Auto-encoder

Naoto Minakawa, Kiyoshi Izumi, Hiroki Sakaji
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Abstract

The gravity models has been studied to analyze interaction between two objects such as trade amount between a pair of countries, human migration between a pair of countries and traffic flow between two cities. Particularly in the international trade, predicting trade amount is instrumental to industry and government in business decision making and determining economic policies. Whereas the gravity models well captures such interaction between objects, the model simplifies the interaction to extract essential relationships or needs handcrafted features to drive the models. Recent studies indicate the connection between graph neural networks (GNNs) and the gravity models in international trade. However, to our best knowledge, hardly any previous studies in the this domain directly predicts trade amount by GNNs. We propose GGAE (Gravity-informed Graph Auto-encoder) and its surrogate model, which is inspired by the gravity model, showing trade amount prediction by the gravity model can be formulated as an edge weight prediction problem in GNNs and solved by GGAE and its surrogate model. Furthermore, we conducted experiments to indicate GGAE with GNNs can improve trade amount prediction compared to the traditional gravity model by considering complex relationships.
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利用重力信息图自动编码器预测双边贸易往来
引力模型被用来分析两个对象之间的相互作用,如一对国家之间的贸易额、一对国家之间的人口迁移和两个城市之间的交通流量。虽然引力模型能很好地捕捉对象间的这种相互作用,但它们简化了相互作用以提取本质关系或需要人工特征来驱动模型。最近的研究表明,图神经网络(GNN)与引力模型在国际贸易中存在联系。然而,据我们所知,在这一领域几乎没有任何以往的研究能通过图神经网络直接预测贸易额。我们提出了受引力模型启发的 GGAE(Gravity-infformed Graph Auto-encoder,引力信息图自动编码器)及其代理模型,表明引力模型的贸易额预测可以表述为 GNN 中的边权重预测问题,并通过 GGAE 及其代理模型求解。此外,我们还通过实验证明,与传统的重力模型相比,GGAE 与 GNN 可以通过考虑复杂的关系改进贸易额预测。
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