<?xml version="1.1" encoding="utf-8"?>
<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">ASDS</journal-id><journal-title-group><journal-title>Applied Statistics and Data Science</journal-title></journal-title-group><issn>3066-8433</issn><eissn>3066-8441</eissn><publisher><publisher-name>Art and Design</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.61369/ASDS.2025070015</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>融合深度学习与动态因子分析的省际经济差异测度分析</title><url>https://artdesignp.com/journal/ASDS/1/7/10.61369/ASDS.2025070015</url><author>刘家欢,范金宇</author><pub-date pub-type="publication-year"><year>2025</year></pub-date><volume>1</volume><issue>7</issue><history><date date-type="pub"><published-time>2025-09-20</published-time></date></history><abstract>本研究构建&amp;ldquo;DAE-GNN-LSTM-DFA&amp;rdquo;融合框架，深入分析中国31个省份2018-2022年的经济数据。鉴于传统静态分析工具难以捕捉&amp;ldquo;空间- 时序&amp;rdquo;耦合特征，此框架以DAE 提取经济数据特征，用GNN 建模省际空间依赖，结合LSTM-DFA 捕捉经济周期动态关系。结果显示，DAE 降维保信息且重构误差远低于PCA；GNN 聚类效果提升，轮廓系数达0.6625；LSTM-DFA 增强了传统动态因子分析的时变解释力。该混合模型在预测精度和拟合优度上优于其他对比模型，为区域协调发展及发展中国家经济差异治理提供参考。</abstract><keywords>深度学习,深度自编码器,图神经网络,动态因子分析,混合模型</keywords></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>[1]Chen, L., &amp;amp; Fan, J. (2023). High-dimensional factor analysis with unknown factors. Journal of Econometrics, 235(2), 1235-1257.[2]Liu, Y., &amp;amp; Wang, X. (2024). Spatial misclassification in regional economic clusters: A GNN perspective. Regional Studies, 58(3), 445-462.[3]Zhang, K., et al. (2024). LSTM-enhanced dynamic factor models for provincial GDP forecasting. Journal of Applied Econometrics, 39(1), 89-108.[4]Fujita M , Krugman P , Venables A J .The Spatial Economy: Cities, Regions, and International Trade[J].Mit Press Books, 2001, 1(1):283-285.[5]Bai, J., &amp;amp; Ng, S. (2002). Determining the number of factors in approximate factor models. Econometrica, 70(1), 191-221.[6]Chen, E. Y., &amp;amp; Fan, J. (2021). Statistical Inference for High-Dimensional Matrix-Variate Factor Models. Journal of the American Statistical Association, 118(542), 1038&amp;ndash;1055.[7]Kingma, D. P., &amp;amp; Welling, M. (2013). Auto-encoding variational bayes. arXiv preprint arXiv:1312.6114.[8]Li, Y., Wang, H., &amp;amp; Zhang, Z. (2023). Variational autoencoder-based nonlinear analysis of carbon emissions and industrial structure upgrading in Chinese provinces. Energy Economics, 126, 106902.[9]Kipf, T. N. (2016). Semi-supervised classification with graph convolutional networks. arXiv preprint arXiv:1609.02907.[10]Yoon, J. (2021). Forecasting of real GDP growth using machine learning models: Gradient boosting and random forest approach. Computational Economics, 57(1), 247&amp;ndash;265.[11]Jena, P. R., Majhi, R., Kalli, R., Managi, S., &amp;amp; Majhi, B. (2021). Impact of covid-19 on GDP of major economies: Application of the artificial neural network forecaster. Economic Analysis and Policy, 69, 324&amp;ndash;339.[12]Zhang, Q., Ni, H., &amp;amp; Xu, H. (2023). Nowcasting Chinese GDP in a data-rich environment: Lessons from machine learning algorithms. Economic Modelling, 122, 106204.[13] 高金敏, &amp;amp; 郭佩佩等. (2021). 基于自回归XGBoost 时序模型的GDP 预测实证. 数学的实践与认识, (07),9-16.[14] 朱青, &amp;amp; 周石鹏. (2021). 基于 LSTM 模型的国民经济 GDP 增长预测建模研究. 经济研究导刊, (19), 5-9.[15]Bengio, Y., LeCun, Y., &amp;amp; Hinton, G. (2023). Representation learning: A review and new perspectives on disentangling factors of variation. Nature Machine Intelligence,5(7), 730&amp;ndash;740.[16]Wu, J., Chen, L., &amp;amp; He, K. (2024). Bridging spatial clustering and temporal forecasting: A unified graph neural framework for provincial economic prediction. Annals of Regional Science, 82(1), 1&amp;ndash;26.[17]Liu, S., Zhang, Y., &amp;amp; Li, M. (2025). Embedding lagged policy shocks into dynamic spatial models: Evidence from China&amp;rsquo;s Five-Year Plans. China Economic Review, 85, 102245.[18]Kingma, D. P., &amp;amp; Ba, J. (2014). Adam: A method for stochastic optimization. Proceedings of the 3rd International Conference on Learning Representations, 1-15.[19]Wu, Z., Pan, S., Chen, F., Long, G., Zhang, C., &amp;amp; Yu, P. S. (2020). A comprehensive survey on graph neural networks. IEEE transactions on neural networks and learning systems, 32(1), 4-24.[20]Mare, D. (2015). The oxford handbook of economic forecasting. Journal of the Operational Research Society, 66(12), 2102-2102.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
