In recent years,graph convolutional networks have attracted lots of attention in academic communities,and have been applied to many fields,such as recommender systems and knowledge graphs.There are lots of spatial-temporal networks data in spatial-temporal data mining.The spatial-temporal networks data refers to the graph structure data that adds time information and spatial information to the traditional topology graph.However,there is still a lack of effective graph convolutional methods tailored to spatial-temporal network data.Spatial-temporal network data are highly complex,exhibiting strong spatial dependencies,temporal correlations,spatial-temporal correlations,and spatial-temporal heterogeneities.Most of the existing methods cannot take these four properties fully into account.Moreover,the traditional graph convolution methods are difficult to deal with the spatial-temporal properties and influence between nodes when applied to the spatialtemporal networks.This thesis focuses on these two problems,proposed Spatial-temporal Synchronous Graph Convolutional Networks and Adaptive Spatial-temporal Synchronous Graph Convolutional Networks to forecast the spatial-temporal networks.The main contributions are as follows.Most of the existing methods only focus on modeling the spatial dependencies and the temporal correlations,they do not directly consider the spatial-temporal correlations that cross both spatial and temporal dimensions.To address that problem,a localized spatial-temporal graph is designed in this thesis,which connects multiple spatial graphs.Then deploying a graph convolutional method on it to capture the spatial dependencies,temporal correlations,and the spatial-temporal correlations simultaneously.To consider the heterogeneities in different areas and different time periods the spatial-temporal network exhibits,the Spatial-temporal Synchronous Graph Convolutional Networks(STSGCN)has been proposed,which uses a multi-component mechanism and can effectively capture the localized spatial-temporal correlations and heterogeneities.When the traditional graph convolutional methods are applied to the spatial-temporal graphs,these methods cannot distinguish the nodes in the spatial-temporal network correctly and the aggregation of neighbors' features is highly dependent on the adjacency matrix.This thesis proposed spatial-temporal embedding and an adaptive matrix two methods to solve the two deficiencies mentioned above,which consist of Adaptive Spatial-temporal Synchronous Graph Convolutional Networks(ASTSGCN).The ASTSGCN model can adjust the spatial-temporal properties of the nodes and the weight of edges in the spatial-temporal graphs adaptively so that it has better generalization performance.Extensive experiments have been conducted on 4 subsets of the open datasets Pe MS from California Freeway.The experiment results prove the effectiveness of the two methods,which can forecast the spatial-temporal network effectively. |