{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,24]],"date-time":"2026-06-24T15:54:44Z","timestamp":1782316484363,"version":"3.54.5"},"reference-count":68,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Neur. Syst."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:p> A full-fledged neural network modeling, based on a Multi-layered Nonlinear Autoregressive Exogenous Neural Network (NARX) architecture, is proposed for quasi-static and dynamic hysteresis loops, one of the most challenging topics for computational magnetism. This modeling approach overcomes drawbacks in attaining better than percent-level accuracy of classical and recent approaches for accelerator magnets, that combine hybridization of standard hysteretic models and neural network architectures. By means of an incremental procedure, different Deep Neural Network Architectures are selected, fine-tuned and tested in order to predict magnetic hysteresis in the context of electromagnets. Tests and results show that the proposed NARX architecture best fits the measured magnetic field behavior of a reference quadrupole at CERN. In particular, the proposed modeling framework leads to a percent error below 0.02% for the magnetic field prediction, thus outperforming state of the art approaches and paving a very promising way for future real time applications. <\/jats:p>","DOI":"10.1142\/s0129065721500337","type":"journal-article","created":{"date-parts":[[2021,7,23]],"date-time":"2021-07-23T09:56:33Z","timestamp":1627034193000},"page":"2150033","source":"Crossref","is-referenced-by-count":7,"title":["Hysteresis Modeling in Iron-Dominated Magnets Based on a Multi-Layered NARX Neural Network Approach"],"prefix":"10.1142","volume":"31","author":[{"given":"Maria","family":"Amodeo","sequence":"first","affiliation":[{"name":"Department of Electronics and Telecommunications (DET), Polytechnic University of Turin, Turin 10129, Italy"},{"name":"Instrumentation and Measurement Laboratory for Particle Accelerator Laboratory (IMPALab), Department of Electrical Engineering and Information Technology (DIETI), University of Naples Federico II, Naples 80100, Italy"},{"name":"Technology Department, CERN \u2013 European Organization for Nuclear Research, 1211 Meyrin, Switzerland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pasquale","family":"Arpaia","sequence":"additional","affiliation":[{"name":"Instrumentation and Measurement Laboratory for Particle Accelerator Laboratory (IMPALab), Department of Electrical Engineering and Information Technology (DIETI), University of Naples Federico II, Naples 80100, Italy"},{"name":"Technology Department, CERN \u2013 European Organization for Nuclear Research, 1211 Meyrin, Switzerland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marco","family":"Buzio","sequence":"additional","affiliation":[{"name":"Technology Department, CERN \u2013 European Organization for Nuclear Research, 1211 Meyrin, Switzerland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vincenzo","family":"Di Capua","sequence":"additional","affiliation":[{"name":"Instrumentation and Measurement Laboratory for Particle Accelerator Laboratory (IMPALab), Department of Electrical Engineering and Information Technology (DIETI), University of Naples Federico II, Naples 80100, Italy"},{"name":"Technology Department, CERN \u2013 European Organization for Nuclear Research, 1211 Meyrin, Switzerland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Francesco","family":"Donnarumma","sequence":"additional","affiliation":[{"name":"Institute of Cognitive Sciences and Technologies (ISTC), National Research Council (CNR), Via San Martino della Battaglia, 44, Rome 00185, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2021,7,22]]},"reference":[{"key":"S0129065721500337BIB001","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/978-0-387-34922-0_5","volume-title":"Modelling and Optimization of Distributed Parameter Systems Applications to Engineering","author":"Visintin A.","year":"1996"},{"issue":"1","key":"S0129065721500337BIB002","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/j.ymssp.2014.04.012","volume":"49","author":"Hassani V.","year":"2014","journal-title":"Mech. 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