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To address this challenge, we propose a non-intrusive, data-driven methodology that combines the shifted proper orthogonal decomposition (POD) with deep learning. Specifically, the shifted POD technique is utilized to derive a high-fidelity, low-dimensional model of the flow, which is subsequently utilized as input to a deep learning framework to forecast the flow dynamics under various temporal and parameter conditions. The efficacy of the proposed approach is demonstrated through the analysis of one- and two-dimensional wildland fire models with varying reaction rates, and its error is compared with the error of other similar methods. The results indicate that the proposed approach yields reliable results within the percent range, while also enabling rapid prediction of system states within seconds.<\/jats:p>","DOI":"10.1007\/s10444-025-10220-4","type":"journal-article","created":{"date-parts":[[2025,2,3]],"date-time":"2025-02-03T12:10:58Z","timestamp":1738584658000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Parametric model order reduction for a wildland fire model via the shifted POD-based deep learning method"],"prefix":"10.1007","volume":"51","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-4442-5297","authenticated-orcid":false,"given":"Shubhaditya","family":"Burela","sequence":"first","affiliation":[]},{"given":"Philipp","family":"Krah","sequence":"additional","affiliation":[]},{"given":"Julius","family":"Reiss","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,2,3]]},"reference":[{"key":"10220_CR1","doi-asserted-by":"publisher","DOI":"10.2760\/46951","author":"G DaCosta","year":"2020","unstructured":"DaCosta, G., Derigo, D., Liberta, G., Durrant, T., San-miguel-ayanz, J.: European wildfire danger and vulnerability in a changing climate: towards integrating risk dimensions (2020). https:\/\/doi.org\/10.2760\/46951","journal-title":"European wildfire danger and vulnerability in a changing climate: towards integrating risk dimensions"},{"key":"10220_CR2","doi-asserted-by":"publisher","unstructured":"Kondylatos, S., Prapas, I., Ronco, M., Papoutsis, I., Camps-Valls, G., Piles, M., Fern\u00e1ndez-Torres, M., Carvalhais, N.: Wildfire danger prediction and understanding with deep learning. 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