{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T18:17:06Z","timestamp":1767205026476,"version":"build-2238731810"},"reference-count":37,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2022,10,5]],"date-time":"2022-10-05T00:00:00Z","timestamp":1664928000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.mdpi.com"],"crossmark-restriction":true},"short-container-title":["Computation"],"abstract":"<jats:p>In many contexts of scientific computing and engineering science, phenomena are monitored over time and data are collected as time-series. Plenty of algorithms have been proposed in the field of time-series data mining, many of them based on deep learning techniques. High-fidelity simulations of complex scenarios are truly computationally expensive and a real-time monitoring and control could be efficiently achieved by the use of artificial intelligence. In this work we build accurate data-driven models of a two-phase transient flow in a heated channel, as usually encountered in heat exchangers. The proposed methods combine several artificial neural networks architectures, involving standard and transposed deep convolutions. In particular, a very accurate real-time integrator of the system has been developed.<\/jats:p>","DOI":"10.3390\/computation10100176","type":"journal-article","created":{"date-parts":[[2022,10,8]],"date-time":"2022-10-08T01:52:21Z","timestamp":1665193941000},"page":"176","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["A Regularized Real-Time Integrator for Data-Driven Control of Heating Channels"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7100-3813","authenticated-orcid":false,"given":"Chady","family":"Ghnatios","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Notre Dame University-Louaize, Zouk Mosbeh P.O. Box 72, Lebanon"}]},{"given":"Victor","family":"Champaney","sequence":"additional","affiliation":[{"name":"PIMM Laboratory, Arts et M\u00e9tiers Institute of Technology, 151 Boulevard de l\u2019H\u00f4pital, 75013 Paris, France"}]},{"given":"Angelo","family":"Pasquale","sequence":"additional","affiliation":[{"name":"PIMM Laboratory, Arts et M\u00e9tiers Institute of Technology, 151 Boulevard de l\u2019H\u00f4pital, 75013 Paris, France"},{"name":"LAMPA Laboratory, Arts et M\u00e9tiers Institute of Technology, 2 Boulevard du Ronceray, BP 93525, CEDEX 01, 49035 Angers, France"}]},{"given":"Francisco","family":"Chinesta","sequence":"additional","affiliation":[{"name":"PIMM Laboratory, Arts et M\u00e9tiers Institute of Technology, CNRS, Cnam, HESAM Universit\u00e9, 151 Boulevard de l\u2019H\u00f4pital, 75013 Paris, France"},{"name":"ESI Group, 3 bis Rue Saarien, 94528 Rungis, France"}]}],"member":"1968","published-online":{"date-parts":[[2022,10,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1946","DOI":"10.1080\/00207170801942170","article-title":"Data-driven simulation and control","volume":"81","author":"Markovsky","year":"2008","journal-title":"Int. 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