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This article introduces a new hybrid interval prediction approach that integrates multiscale decomposition with a custom-designed granulation-based transformer model. The multiscale decomposition is utilized to address the data's multifrequency components and high-frequency noise. Compared with the classical attention mechanisms, the proposed granulation-based attention mechanism helps the model better utilize the production semantics contained in the data. In contrast to traditional interval prediction methods that use non-differentiable loss functions, this article introduces a new differentiable loss function to address this limitation. This enables the optimization of model parameters without relying on heuristic optimization algorithms, simplifying the model training process. The industrial case study validates the effectiveness of the proposed approach, demonstrating better performance than both current state-of-the-art and newly developed methods.<\/jats:p>","DOI":"10.1115\/1.4071308","type":"journal-article","created":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T16:33:56Z","timestamp":1772728436000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":0,"title":["A Long-Term Interval Prediction Method for Industrial Oxygen Demand Using Granulation-Based Attention Mechanism and Multiscale Decomposition"],"prefix":"10.1115","volume":"26","author":[{"given":"Pengwei","family":"Zhou","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/012z62f48","id-type":"ROR","asserted-by":"publisher"}],"name":"China Academy of Launch Vehicle Technology First Academy of Aerospace, , \u00a0 , ; State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, , \u00a0 ,","place":["Beijing Hangzhou, China China, 100076 310027"]},{"name":"Zhejiang University First Academy of Aerospace, , \u00a0 , ; State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, , \u00a0 ,","place":["Beijing Hangzhou, China China, 100076 310027"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nuo","family":"Xu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/012z62f48","id-type":"ROR","asserted-by":"publisher"}],"name":"China Academy of Launch Vehicle Technology First Academy of Aerospace, , \u00a0 , ;, College of of Aeronautics and Astronautics, , \u00a0 ,","place":["Beijing Beijing, China China, 100076 100191"]},{"name":"Beijing University of Aeronautics and Astronautics First Academy of Aerospace, , \u00a0 , ;, College of of Aeronautics and Astronautics, , \u00a0 ,","place":["Beijing Beijing, China China, 100076 100191"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao","family":"Sun","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/012z62f48","id-type":"ROR","asserted-by":"publisher"}],"name":"China Academy of Launch Vehicle Technology First Academy of Aerospace, , \u00a0 ,","place":["Beijing, China, 100076"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao","family":"Hu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/012z62f48","id-type":"ROR","asserted-by":"publisher"}],"name":"China Academy of Launch Vehicle Technology First Academy of Aerospace, , \u00a0 ,","place":["Beijing, China, 100076"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yue","family":"Li","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/012z62f48","id-type":"ROR","asserted-by":"publisher"}],"name":"China Academy of Launch Vehicle Technology First Academy of Aerospace, , \u00a0 , ;, College of Computer Science, \u00a0 \u00a0 ,","place":["Beijing Beijing, China China, 100076 100190"]},{"name":"Tsinghua University First Academy of Aerospace, , \u00a0 , ;, College of Computer Science, \u00a0 \u00a0 ,","place":["Beijing Beijing, China China, 100076 100190"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhuofan","family":"Cui","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/012z62f48","id-type":"ROR","asserted-by":"publisher"}],"name":"China Academy of Launch Vehicle Technology First Academy of Aerospace, , \u00a0 ,","place":["Beijing, China, 100076"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yan","family":"Liu","sequence":"additional","affiliation":[{"name":"Zhejiang University State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, , \u00a0 ,","place":["Hangzhou, China, 310027"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zuhua","family":"Xu","sequence":"additional","affiliation":[{"name":"Zhejiang University State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, , \u00a0 ,","place":["Hangzhou, China, 310027"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"33","published-online":{"date-parts":[[2026,3,19]]},"reference":[{"key":"2026031911400439800_CIT0001","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/j.conengprac.2016.03.018","article-title":"A Two-Stage Method for Predicting and Scheduling Energy in an Oxygen\/Nitrogen System of the Steel Industry","volume":"52","author":"Han","year":"2016","journal-title":"Control Eng. 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