{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T07:59:50Z","timestamp":1775203190698,"version":"3.50.1"},"reference-count":24,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2021,5,15]],"date-time":"2021-05-15T00:00:00Z","timestamp":1621036800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Key Research and Development Project from Hebei Province","award":["19210404D;20351802D"],"award-info":[{"award-number":["19210404D;20351802D"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["42075129"],"award-info":[{"award-number":["42075129"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>Accurate and reliable air quality predictions are critical to the ecological environment and public health. For the traditional model fails to make full use of the high and low frequency information obtained after wavelet decomposition, which easily leads to poor prediction performance of the model. This paper proposes a hybrid prediction model based on data decomposition, choosing wavelet decomposition (WD) to generate high-frequency detail sequences WD(D) and low-frequency approximate sequences WD(A), using sliding window high-frequency detail sequences WD(D) for reconstruction processing, and long short-term memory (LSTM) neural network and autoregressive moving average (ARMA) model for WD(D) and WD(A) sequences for prediction. The final prediction results of air quality can be obtained by accumulating the predicted values of each sub-sequence, which reduces the root mean square error (RMSE) by 52%, mean absolute error (MAE) by 47%, and increases the goodness of fit (R2) by 18% compared with the single prediction model. Compared with the mixed model, reduced the RMSE by 3%, reduced the MAE by 3%, and increased the R2 by 0.5%. The experimental verification found that the proposed prediction model solves the problem of lagging prediction results of single prediction model, which is a feasible air quality prediction method.<\/jats:p>","DOI":"10.3390\/info12050210","type":"journal-article","created":{"date-parts":[[2021,5,16]],"date-time":"2021-05-16T23:17:16Z","timestamp":1621207036000},"page":"210","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["A Hybrid Model for Air Quality Prediction Based on Data Decomposition"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0091-4182","authenticated-orcid":false,"given":"Shurui","family":"Fan","sequence":"first","affiliation":[{"name":"School of Electronic Information Engineering, Hebei University of Technology, Tianjin 300401, China"}]},{"given":"Dongxia","family":"Hao","sequence":"additional","affiliation":[{"name":"School of Electronic Information Engineering, Hebei University of Technology, Tianjin 300401, China"}]},{"given":"Yu","family":"Feng","sequence":"additional","affiliation":[{"name":"School of Electronic Information Engineering, Hebei University of Technology, Tianjin 300401, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3968-481X","authenticated-orcid":false,"given":"Kewen","family":"Xia","sequence":"additional","affiliation":[{"name":"School of Electronic Information Engineering, Hebei University of Technology, Tianjin 300401, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8320-0988","authenticated-orcid":false,"given":"Wenbiao","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Electronic Information Engineering, Hebei University of Technology, Tianjin 300401, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,5,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"134903","DOI":"10.1109\/ACCESS.2019.2941732","article-title":"Regional Spatiotemporal Collaborative Prediction Model for Air Quality","volume":"7","author":"Zhao","year":"2019","journal-title":"IEEE Access"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"207","DOI":"10.23919\/J.CC.2020.07.015","article-title":"Investigation of Model Ensemble for Fine-Grained Air Quality Prediction","volume":"17","author":"Zheng","year":"2020","journal-title":"China Commun."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"683","DOI":"10.15244\/pjoes\/66852","article-title":"A Systematic Simulating Assessment WithinReach Greenhouse Gas Target by Reducing PM2.5Concentrations in China","volume":"26","author":"Li","year":"2017","journal-title":"Pol. 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