{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T12:26:36Z","timestamp":1764937596624,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"15","license":[{"start":{"date-parts":[[2023,8,4]],"date-time":"2023-08-04T00:00:00Z","timestamp":1691107200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Multi-step traffic forecasting has always been extremely challenging due to constantly changing traffic conditions. Advanced Graph Convolutional Networks (GCNs) are widely used to extract spatial information from traffic networks. Existing GCNs for traffic forecasting are usually shallow networks that only aggregate two- or three-order node neighbor information. Because of aggregating deeper neighborhood information, an over-smoothing phenomenon occurs, thus leading to the degradation of model forecast performance. In addition, most existing traffic forecasting graph networks are based on fixed nodes and therefore need more flexibility. Based on the current problem, we propose Dynamic Adaptive Deeper Spatio-Temporal Graph Convolutional Networks (ADSTGCN), a new traffic forecasting model. The model addresses over-smoothing due to network deepening by using dynamic hidden layer connections and adaptively adjusting the hidden layer weights to reduce model degradation. Furthermore, the model can adaptively learn the spatial dependencies in the traffic graph by building the parameter-sharing adaptive matrix, and it can also adaptively adjust the network structure to discover the unknown dynamic changes in the traffic network. We evaluated ADSTGCN using real-world traffic data from the highway and urban road networks, and it shows good performance.<\/jats:p>","DOI":"10.3390\/s23156950","type":"journal-article","created":{"date-parts":[[2023,8,4]],"date-time":"2023-08-04T09:28:34Z","timestamp":1691141314000},"page":"6950","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["ADSTGCN: A Dynamic Adaptive Deeper Spatio-Temporal Graph Convolutional Network for Multi-Step Traffic Forecasting"],"prefix":"10.3390","volume":"23","author":[{"given":"Zhengyan","family":"Cui","sequence":"first","affiliation":[{"name":"Department of Computer Information Engineering, Cheongju University, Cheongju 28503, Republic of Korea"}]},{"given":"Junjun","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Computer Information Engineering, Cheongju University, Cheongju 28503, Republic of Korea"}]},{"given":"Giseop","family":"Noh","sequence":"additional","affiliation":[{"name":"Department of Artificial Intelligence Software, Cheongju University, Cheongju 28503, Republic of Korea"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1365-0232","authenticated-orcid":false,"given":"Hyun Jun","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Artificial Intelligence Software, Cheongju University, Cheongju 28503, Republic of Korea"}]}],"member":"1968","published-online":{"date-parts":[[2023,8,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2763","DOI":"10.1007\/s10489-021-02587-w","article-title":"Spatial-Temporal Graph Neural Network for Traffic Forecasting: An Overview and Open Research Issues","volume":"52","author":"Bui","year":"2022","journal-title":"Appl. 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