{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T03:56:51Z","timestamp":1784260611209,"version":"3.55.0"},"reference-count":44,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2025,2,16]],"date-time":"2025-02-16T00:00:00Z","timestamp":1739664000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Nitrous oxide produced during wastewater treatment is a major greenhouse gas, and accurate prediction and control of N2O emissions are crucial for achieving carbon neutrality. In this study, aiming to address the complex issues of N2O emission prediction in wastewater treatment, large-scale multidimensional data from the Altenrhein wastewater treatment plant was used to build a sample database. The role of symmetry in model architecture and data analysis was discussed, and six intelligent prediction models for N2O emissions were proposed based on deep learning technology. The results showed that the PLO-CNN-BiLSTM-Attention model achieved the best performance, with an R2 of 0.99 on the test set. Engineering validation using 48 subsequent datasets confirmed the model\u2019s strong generalization ability and robustness. Feature importance analysis based on SHAP revealed that water temperature was the most critical factor influencing N2O emissions, while dissolved oxygen concentration and inlet flow rate also had impacts but showed a certain symmetrical change between summer and winter. This study provides efficient and reliable technical support for monitoring and predicting N2O emissions in urban wastewater treatment plants and offers a scientific basis for developing strategies to reduce greenhouse gas emissions.<\/jats:p>","DOI":"10.3390\/sym17020297","type":"journal-article","created":{"date-parts":[[2025,2,17]],"date-time":"2025-02-17T07:48:22Z","timestamp":1739778502000},"page":"297","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Symmetry-Inspired Prediction of Nitrous Oxide Emissions in Wastewater Treatment Using Deep Learning and Explainable Analysis"],"prefix":"10.3390","volume":"17","author":[{"given":"Zhengze","family":"Huang","sequence":"first","affiliation":[{"name":"College of Letters and Science, University of California, Los Angeles, CA 90095, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0908-6499","authenticated-orcid":false,"given":"Yuqi","family":"Bai","sequence":"additional","affiliation":[{"name":"School of Environment, Education and Development, The University of Manchester, Manchester M13 9PL, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0001-0823-7331","authenticated-orcid":false,"given":"Hengyu","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Resources and Safety Engineering, Central South University, Changsha 410083, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1038\/nature02121","article-title":"Extinction risk from climate change","volume":"427","author":"Thomas","year":"2004","journal-title":"Nature"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1016\/S0040-1625(99)00113-4","article-title":"Global and Regional Greenhouse Gas Emissions Scenarios","volume":"63","author":"Kram","year":"2000","journal-title":"Technol. 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