Article(id=1308453946222207328, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453915104665783, articleNumber=null, orderNo=null, doi=10.3969/j.issn.1672-6073.2026.02.006, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1749139200000, receivedDateStr=2025-06-06, revisedDate=1766592000000, revisedDateStr=2025-12-25, acceptedDate=null, acceptedDateStr=null, onlineDate=1789889330677, onlineDateStr=2026-09-20, pubDate=null, pubDateStr=null, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1789889330677, onlineIssueDateStr=2026-09-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1789889330677, creator=13701087609, updateTime=1789889330677, updator=13701087609, issue=Issue{id=1308453915104665783, tenantId=1146029695717560320, journalId=1146123302524792850, year='2026', volume='39', issue='2', pageStart='1', pageEnd='160', issueExtLink='null', onlineDate='null', pubDate='1775750400000', pubDateStr='2026-04-10', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1789889323259, creator='13701087609', updateTime=1789889766020, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1308455772237615687, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453915104665783, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1308455772237615688, tenantId=1146029695717560320, journalId=1146123302524792850, issueId=1308453915104665783, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=46, endPage=56, ext={EN=ArticleExt(id=1308453946406756705, articleId=1308453946222207328, tenantId=1146029695717560320, journalId=1146123302524792850, language=EN, title=Subway Station Entry Passenger Flow Prediction Based on a Hybrid Deep Learning Method, columnId=1152669335454658940, journalTitle=Urban Rapid Rail Transit, columnName=Academic Discussion, runingTitle=null, highlight=null, articleAbstract=

To address the critical issue of predicting the time-series passenger flow at subway stations, a novel hybrid deep learning method, AFT-K-GRU+, is proposed to provide more accurate decision support for subway operation and management. Leveraging the multi-scale temporal dependencies inherent in subway passenger flow data, the model innovatively integrates three core components: the attention-free transformer (AFT), the gated recurrent unit (GRU), and the KAN network. Specifically, the AFT module captures long-term periodic patterns in passenger flow data, the GRU module focuses on extracting short-term fluctuation characteristics, and the KAN network enhances the model's expressive capacity. To enhance the robustness of the model's predictions, this study innovatively designs a knowledge-driven correction controller based on residual feedback, which enables online self-correction of the output. Experimental validation using real-world card swipe data from Beijing subway stations demonstrates that the AFT-K-GRU+ model effectively predicts station passenger flow, achieving mean error reductions of 25.3% and 18.7% compared to Transformer and LSTM methods, respectively. This model offers effective methodological support for subway operators, assisting management departments in passenger flow control and daily planning, thereby enhancing the operational efficiency and service quality of subway lines.

, authors=Changlong LI1, Xiaoxia YANG1, Guoqing ZHANG1, Chunyue CUI2, Jiahui WAN1, authorsList=Changlong LI, Xiaoxia YANG, Guoqing ZHANG, Chunyue CUI, Jiahui WAN, authorCompany=null, correspAuthors=Xiaoxia YANG, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1308453946708746594, articleId=1308453946222207328, tenantId=1146029695717560320, journalId=1146123302524792850, language=CN, title=基于组合深度学习方法的地铁进站客流预测, columnId=1152669335668568445, journalTitle=都市快轨交通, columnName=学术探讨, runingTitle=null, highlight=null, articleAbstract=

针对地铁车站进站客流量时序预测低的问题,提出一种新型组合深度学习方法AFT-K-GRU+。基于地铁进站客流多尺度时间依赖性特征,构建融合无注意力变压器模型(attention-free transformer, AFT)、门控循环单元(gated recurrent unit, GRU)和科尔莫戈洛夫-阿诺德网络(Kdmogorov-Arndd networks, KAN)网络3种核心组件的模型。AFT模块专门用于捕捉客流数据的长期周期性规律,GRU重点提取客流短期波动特征,KAN网络用于增强模型表达能力。为增强模型预测结果的鲁棒性,设计基于残差反馈的知识驱动修正控制器,能够对输出结果进行在线自校正。通过北京地铁站实际刷卡数据验证,AFT-K-GRU+模型在进站客流预测方面表现较好,相较于Transformer与长短期记忆网络(long short-term memory, LSTM)方法,平均误差分别减少25.3%和18.7%。该模型可为地铁运营方提供有效的方法支撑,帮助管理部门进行客流管理与日常规划,提升地铁线路的运行效率与服务水平。

, authors=李昌隆1, 杨晓霞1, 张国庆1, 崔春月2, 万佳慧1, authorsList=李昌隆, 杨晓霞, 张国庆, 崔春月, 万佳慧, authorCompany=null, correspAuthors=杨晓霞, authorNote=

李昌隆,男,硕士研究生,从事智能交通研究,

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杨晓霞,女,博士,教授,从事智能感知、协同控制、深度学习、强化学习在智慧轨道交通中的应用,
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李昌隆,男,硕士研究生,从事智能交通研究,

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李昌隆,男,硕士研究生,从事智能交通研究,

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基于组合深度学习方法的地铁进站客流预测
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李昌隆 1 , 杨晓霞 1 , 张国庆 1 , 崔春月 2 , 万佳慧 1
都市快轨交通 | 学术探讨 2026,39(2): 46-56
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都市快轨交通 |学术探讨 2026 , 39 (2) : 46 -56
基于组合深度学习方法的地铁进站客流预测
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李昌隆1 , 杨晓霞1 , 张国庆1, 崔春月2, 万佳慧1
作者信息
  • 1.青岛理工大学信息与控制工程学院,山东 青岛 266520
  • 2.青岛理工大学土木工程学院,山东 青岛 266520
通讯作者:
杨晓霞,女,博士,教授,从事智能感知、协同控制、深度学习、强化学习在智慧轨道交通中的应用,
作者简介:

李昌隆,男,硕士研究生,从事智能交通研究,

Subway Station Entry Passenger Flow Prediction Based on a Hybrid Deep Learning Method
Changlong LI1 , Xiaoxia YANG1 , Guoqing ZHANG1, Chunyue CUI2, Jiahui WAN1
Affiliations
  • 1.School of Information and Control Engineering, Qingdao University of Technology, Qingdao, Shandong 266520
  • 2.School of Civil Engineering, Qingdao University of Technology, Qingdao, Shandong 266520
doi: 10.3969/j.issn.1672-6073.2026.02.006
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针对地铁车站进站客流量时序预测低的问题,提出一种新型组合深度学习方法AFT-K-GRU+。基于地铁进站客流多尺度时间依赖性特征,构建融合无注意力变压器模型(attention-free transformer, AFT)、门控循环单元(gated recurrent unit, GRU)和科尔莫戈洛夫-阿诺德网络(Kdmogorov-Arndd networks, KAN)网络3种核心组件的模型。AFT模块专门用于捕捉客流数据的长期周期性规律,GRU重点提取客流短期波动特征,KAN网络用于增强模型表达能力。为增强模型预测结果的鲁棒性,设计基于残差反馈的知识驱动修正控制器,能够对输出结果进行在线自校正。通过北京地铁站实际刷卡数据验证,AFT-K-GRU+模型在进站客流预测方面表现较好,相较于Transformer与长短期记忆网络(long short-term memory, LSTM)方法,平均误差分别减少25.3%和18.7%。该模型可为地铁运营方提供有效的方法支撑,帮助管理部门进行客流管理与日常规划,提升地铁线路的运行效率与服务水平。

城市轨道交通  /  客流预测  /  无注意力变压器模型AFT  /  科尔莫戈洛夫-阿诺德网络KAN  /  门控循环单元  /  知识驱动修正

To address the critical issue of predicting the time-series passenger flow at subway stations, a novel hybrid deep learning method, AFT-K-GRU+, is proposed to provide more accurate decision support for subway operation and management. Leveraging the multi-scale temporal dependencies inherent in subway passenger flow data, the model innovatively integrates three core components: the attention-free transformer (AFT), the gated recurrent unit (GRU), and the KAN network. Specifically, the AFT module captures long-term periodic patterns in passenger flow data, the GRU module focuses on extracting short-term fluctuation characteristics, and the KAN network enhances the model's expressive capacity. To enhance the robustness of the model's predictions, this study innovatively designs a knowledge-driven correction controller based on residual feedback, which enables online self-correction of the output. Experimental validation using real-world card swipe data from Beijing subway stations demonstrates that the AFT-K-GRU+ model effectively predicts station passenger flow, achieving mean error reductions of 25.3% and 18.7% compared to Transformer and LSTM methods, respectively. This model offers effective methodological support for subway operators, assisting management departments in passenger flow control and daily planning, thereby enhancing the operational efficiency and service quality of subway lines.

urban rail transit  /  passenger flow forecasting  /  attention-free transformer  /  KAN network  /  gated recurrent unit  /  knowledge-driven correction
李昌隆, 杨晓霞, 张国庆, 崔春月, 万佳慧. 基于组合深度学习方法的地铁进站客流预测. 都市快轨交通, 2026 , 39 (2) : 46 -56 . DOI: 10.3969/j.issn.1672-6073.2026.02.006
Changlong LI, Xiaoxia YANG, Guoqing ZHANG, Chunyue CUI, Jiahui WAN. Subway Station Entry Passenger Flow Prediction Based on a Hybrid Deep Learning Method[J]. Urban Rapid Rail Transit, 2026 , 39 (2) : 46 -56 . DOI: 10.3969/j.issn.1672-6073.2026.02.006
  • 国家自然科学基金(62373209)
  • 山东省泰山学者青年专家项目(tsqn202507218)
  • 山东省高等学校青创团队项目(2023KJ119)
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2026年第39卷第2期
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doi: 10.3969/j.issn.1672-6073.2026.02.006
  • 接收时间:2025-06-06
  • 首发时间:2026-09-20
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  • 收稿日期:2025-06-06
  • 修回日期:2025-12-25
基金
国家自然科学基金(62373209)
山东省泰山学者青年专家项目(tsqn202507218)
山东省高等学校青创团队项目(2023KJ119)
作者信息
    1.青岛理工大学信息与控制工程学院,山东 青岛 266520
    2.青岛理工大学土木工程学院,山东 青岛 266520

通讯作者:

杨晓霞,女,博士,教授,从事智能感知、协同控制、深度学习、强化学习在智慧轨道交通中的应用,
参考文献
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2种不同金属材料的力学参数

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小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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