{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T11:24:11Z","timestamp":1773228251822,"version":"3.50.1"},"reference-count":101,"publisher":"IOP Publishing","issue":"9","license":[{"start":{"date-parts":[[2020,9,10]],"date-time":"2020-09-10T00:00:00Z","timestamp":1599696000000},"content-version":"vor","delay-in-days":9,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2020,9,10]],"date-time":"2020-09-10T00:00:00Z","timestamp":1599696000000},"content-version":"tdm","delay-in-days":9,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["1225"],"award-info":[{"award-number":["1225"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["EXC-2181\/1-390900948"],"award-info":[{"award-number":["EXC-2181\/1-390900948"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010665","name":"H2020 Marie Sk\u0142odowska-Curie Actions","doi-asserted-by":"publisher","award":["665385"],"award-info":[{"award-number":["665385"]}],"id":[{"id":"10.13039\/100010665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002428","name":"Austrian Science Fund","doi-asserted-by":"publisher","award":["M2461-N27"],"award-info":[{"award-number":["M2461-N27"]}],"id":[{"id":"10.13039\/501100002428","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["New J. Phys."],"published-print":{"date-parts":[[2020,9,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Determining the phase diagram of systems consisting of smaller subsystems \u2018connected\u2019 via a tunable coupling is a challenging task relevant for a variety of physical settings. A general question is whether new phases, not present in the uncoupled limit, may arise. We use machine learning and a suitable quasidistance between different points of the phase diagram to study layered spin models, in which the spin variables constituting each of the uncoupled systems (to which we refer as layers) are coupled to each other via an interlayer coupling. In such systems, in general, composite order parameters involving spins of different layers may emerge as a consequence of the interlayer coupling. We focus on the layered Ising and Ashkin\u2013Teller models as a paradigmatic case study, determining their phase diagram via the application of a machine learning algorithm to the Monte Carlo data. Remarkably our technique is able to correctly characterize all the system phases also in the case of hidden order parameters, i.e. order parameters whose expression in terms of the microscopic configurations would require additional preprocessing of the data fed to the algorithm. We correctly retrieve the three known phases of the Ashkin\u2013Teller model with ferromagnetic couplings, including the phase described by a composite order parameter. For the bilayer and trilayer Ising models the phases we find are only the ferromagnetic and the paramagnetic ones. Within the approach we introduce, owing to the construction of convolutional neural networks, naturally suitable for layered image-like data with arbitrary number of layers, no preprocessing of the Monte Carlo data is needed, also with regard to its spatial structure. The physical meaning of our results is discussed and compared with analytical data, where available. Yet, the method can be used without any <jats:italic>a priori<\/jats:italic> knowledge of the phases one seeks to find and can be applied to other models and structures.<\/jats:p>","DOI":"10.1088\/1367-2630\/abae44","type":"journal-article","created":{"date-parts":[[2020,8,11]],"date-time":"2020-08-11T22:39:43Z","timestamp":1597185583000},"page":"093026","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":8,"title":["Detecting composite orders in layered models via machine learning"],"prefix":"10.1088","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1106-4419","authenticated-orcid":false,"given":"W","family":"Rz\u0105dkowski","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3401-3665","authenticated-orcid":false,"given":"N","family":"Defenu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0422-7870","authenticated-orcid":false,"given":"S","family":"Chiacchiera","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1108-4727","authenticated-orcid":false,"given":"A","family":"Trombettoni","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4528-3820","authenticated-orcid":false,"given":"G","family":"Bighin","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2020,9,10]]},"reference":[{"key":"njpabae44bib1","doi-asserted-by":"publisher","first-page":"2773","DOI":"10.1103\/revmodphys.91.045002","volume":"91","author":"Carleo","year":"2019","journal-title":"Rev. Mod. Phys."},{"key":"njpabae44bib2","doi-asserted-by":"publisher","first-page":"4308","DOI":"10.1038\/ncomms5308","volume":"5","author":"Baldi","year":"2014","journal-title":"Nat. Commun."},{"key":"njpabae44bib3","first-page":"pp 1","article-title":"Learning realistic human actions from movies CVPR","author":"Laptev","year":"2008"},{"key":"njpabae44bib4","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1038\/nature21056","volume":"542","author":"Esteva","year":"2017","journal-title":"Nature"},{"key":"njpabae44bib5","first-page":"pp 643","article-title":"Multi-view face detection using deep convolutional neural networks","author":"Farfade","year":"2015"},{"key":"njpabae44bib6","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/s11263-015-0816-y","volume":"115","author":"Russakovsky","year":"2015","journal-title":"Int. J. Comp. Vis."},{"key":"njpabae44bib7","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1038\/nphys4035","volume":"13","author":"Carrasquilla","year":"2017","journal-title":"Nat. Phys."},{"key":"njpabae44bib8","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1038\/nphys4037","volume":"13","author":"van Nieuwenburg","year":"2017","journal-title":"Nat. Phys."},{"key":"njpabae44bib9","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.98.155122","volume":"98","author":"Kim","year":"2018","journal-title":"Phys. Rev. E"},{"key":"njpabae44bib10","doi-asserted-by":"publisher","DOI":"10.1016\/j.aop.2019.167938","volume":"410","author":"Zhao","year":"2019","journal-title":"Ann. Phys., NY"},{"key":"njpabae44bib11","doi-asserted-by":"publisher","first-page":"33602","DOI":"10.5488\/cmp.21.33602","volume":"21","author":"Richter-Laskowska","year":"2018","journal-title":"Condens. Matter Phys."},{"key":"njpabae44bib12","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1103\/physrevb.99.121104","volume":"99","author":"Dong","year":"2019","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib13","doi-asserted-by":"publisher","first-page":"821","DOI":"10.1103\/physrevb.99.094427","volume":"99","author":"Zhang","year":"2019","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib14","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.97.045207","volume":"97","author":"Beach","year":"2018","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib15","author":"Broecker","year":"2017"},{"key":"njpabae44bib16","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.121.255702","volume":"121","author":"Vargas-Hern\u00e1ndez","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib17","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.99.023304","volume":"99","author":"Casert","year":"2019","journal-title":"Phys. Rev. E"},{"key":"njpabae44bib18","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.97.134109","volume":"97","author":"Huembeli","year":"2018","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib19","author":"Bachtis","year":"2020"},{"key":"njpabae44bib20","doi-asserted-by":"publisher","DOI":"10.7566\/jpsj.89.022001","volume":"89","author":"Ohtsuki","year":"2020","journal-title":"J. Phys. Soc. Jpn."},{"key":"njpabae44bib21","author":"Srinivasan","year":"2020"},{"key":"njpabae44bib22","doi-asserted-by":"publisher","DOI":"10.1063\/1.5049849","volume":"149","author":"Jadrich","year":"2018","journal-title":"J. Chem. Phys."},{"key":"njpabae44bib23","doi-asserted-by":"publisher","DOI":"10.1063\/1.5049850","volume":"149","author":"Jadrich","year":"2018","journal-title":"J. Chem. Phys."},{"key":"njpabae44bib24","first-page":"pp 326","article-title":"A classification technique for condensed matter phases using a combination of pca and svm","author":"Badawi","year":"2017"},{"key":"njpabae44bib25","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.96.205146","volume":"96","author":"Ponte","year":"2017","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib26","doi-asserted-by":"publisher","DOI":"10.1016\/j.nuclphysb.2019.114639","volume":"944","author":"Giannetti","year":"2019","journal-title":"Nucl. Phys. B"},{"key":"njpabae44bib27","author":"Woloshyn","year":"2019"},{"key":"njpabae44bib28","author":"Alexandrou","year":"2019"},{"key":"njpabae44bib29","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.120.176401","volume":"120","author":"Liu","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib30","author":"Cardy","year":"1996"},{"key":"njpabae44bib31","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1103\/physrev.64.178","volume":"64","author":"Ashkin","year":"1943","journal-title":"Phys. Rev."},{"key":"njpabae44bib32","author":"Baxter","year":"2007"},{"key":"njpabae44bib33","doi-asserted-by":"publisher","first-page":"666","DOI":"10.1038\/nature02910","volume":"431","author":"Babaev","year":"2004","journal-title":"Nature"},{"key":"njpabae44bib34","author":"Svistunov","year":"2015"},{"key":"njpabae44bib35","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1103\/physrevlett.123.100601","volume":"123","author":"Bighin","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib36","doi-asserted-by":"publisher","first-page":"521","DOI":"10.1016\/j.nuclphysb.2004.01.007","volume":"682","author":"Delfino","year":"2004","journal-title":"Nucl. Phys. B"},{"key":"njpabae44bib37","author":"Mussardo","year":"2010"},{"key":"njpabae44bib38","doi-asserted-by":"publisher","first-page":"666","DOI":"10.1126\/science.1102896","volume":"306","author":"Novoselov","year":"2004","journal-title":"Science"},{"key":"njpabae44bib39","doi-asserted-by":"publisher","first-page":"5012","DOI":"10.1021\/cr2003568","volume":"112","author":"Baranov","year":"2012","journal-title":"Chem. Rev."},{"key":"njpabae44bib40","doi-asserted-by":"publisher","first-page":"568","DOI":"10.1126\/science.168.3931.568","volume":"168","author":"Gamble","year":"1970","journal-title":"Science"},{"key":"njpabae44bib41","author":"Tinkham","year":"1996"},{"key":"njpabae44bib42","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1103\/physrevlett.14.225","volume":"14","author":"Hannay","year":"1965","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib43","doi-asserted-by":"publisher","first-page":"1299","DOI":"10.1103\/physrevlett.45.1299","volume":"45","author":"Ruggiero","year":"1980","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib44","doi-asserted-by":"publisher","DOI":"10.1209\/0295-5075\/100\/36007","volume":"100","author":"Iazzi","year":"2012","journal-title":"Europhys. Lett."},{"key":"njpabae44bib45","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.75.051603","volume":"75","author":"Cazalilla","year":"2007","journal-title":"Phys. Rev. A"},{"key":"njpabae44bib46","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1103\/physrevlett.58.86","volume":"58","author":"Swendsen","year":"1987","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib47","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1007\/bf02174209","volume":"85","author":"Salas","year":"1996","journal-title":"J. Stat. Phys."},{"key":"njpabae44bib48","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1103\/physrevlett.62.361","volume":"62","author":"Wolff","year":"1989","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib49","doi-asserted-by":"publisher","first-page":"4371","DOI":"10.1142\/s0217979210056335","volume":"24","author":"Gu","year":"2010","journal-title":"Int. J. Mod. Phys. B"},{"key":"njpabae44bib50","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jcp.2012.07.037","volume":"234","author":"Thampi","year":"2013","journal-title":"J. Comput. Phys."},{"key":"njpabae44bib51","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1103\/physrev.65.117","volume":"65","author":"Onsager","year":"1944","journal-title":"Phys. Rev."},{"key":"njpabae44bib52","doi-asserted-by":"publisher","first-page":"1097","DOI":"10.1088\/0305-4470\/8\/7\/013","volume":"8","author":"Oitmaa","year":"1975","journal-title":"J. Phys. A: Math. Gen."},{"key":"njpabae44bib53","doi-asserted-by":"publisher","first-page":"723","DOI":"10.1007\/bf01054347","volume":"73","author":"Hansen","year":"1993","journal-title":"J. Stat. Phys."},{"key":"njpabae44bib54","doi-asserted-by":"publisher","first-page":"554","DOI":"10.1016\/0378-4371(95)00261-5","volume":"221","author":"Brower","year":"1995","journal-title":"Physica A"},{"key":"njpabae44bib55","doi-asserted-by":"publisher","first-page":"675","DOI":"10.1016\/s0550-3213(98)00063-7","volume":"516","author":"Delfino","year":"1998","journal-title":"Nucl. Phys. B"},{"key":"njpabae44bib56","doi-asserted-by":"publisher","first-page":"647","DOI":"10.1016\/s0550-3213(00)00247-9","volume":"580","author":"Fabrizio","year":"2000","journal-title":"Nucl. Phys. B"},{"key":"njpabae44bib57","author":"Tsvelik","year":"2007"},{"key":"njpabae44bib58","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.102.097203","volume":"102","author":"Konik","year":"2009","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib59","author":"Schneider","year":"2000"},{"key":"njpabae44bib60","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1103\/physrevb.71.214509","volume":"71","author":"Smiseth","year":"2005","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib61","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1103\/physrevb.93.054524","volume":"93","author":"Sellin","year":"2016","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib62","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1103\/revmodphys.54.235","volume":"54","author":"Wu","year":"1982","journal-title":"Rev. Mod. Phys."},{"key":"njpabae44bib63","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1016\/0893-6080(91)90009-t","volume":"4","author":"Hornik","year":"1991","journal-title":"Neural Netw."},{"key":"njpabae44bib64","doi-asserted-by":"publisher","DOI":"10.1103\/physrevx.9.011031","volume":"9","author":"Martiniani","year":"2019","journal-title":"Phys. Rev. X"},{"key":"njpabae44bib65","doi-asserted-by":"publisher","first-page":"2727","DOI":"10.1038\/ncomms7425","volume":"6","author":"Riggs","year":"2015","journal-title":"Nat. Commun."},{"key":"njpabae44bib66","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.119.157601","volume":"119","author":"Lee","year":"2017","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib67","doi-asserted-by":"publisher","first-page":"1265","DOI":"10.1103\/physrevlett.96.036405","volume":"96","author":"Varma","year":"2006","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib68","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.92.052113","volume":"92","author":"Defenu","year":"2015","journal-title":"Phys. Rev. E"},{"key":"njpabae44bib69","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.100.014434","volume":"100","author":"Defenu","year":"2019","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib70","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.96.012108","volume":"96","author":"Gori","year":"2017","journal-title":"Phys. Rev. E"},{"key":"njpabae44bib71","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.97.174435","volume":"97","author":"Suchsland","year":"2018","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib72","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.99.053606","volume":"99","author":"Zhang","year":"2019","journal-title":"Phys. Rev. E"},{"key":"njpabae44bib73","doi-asserted-by":"publisher","first-page":"790","DOI":"10.1038\/s41567-019-0512-x","volume":"15","author":"Rodriguez-Nieva","year":"2019","journal-title":"Nat. Phys."},{"key":"njpabae44bib74","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.95.054433","volume":"95","author":"Lupo","year":"2017","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib75","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.95.062122","volume":"95","author":"Hu","year":"2017","journal-title":"Phys. Rev. E"},{"key":"njpabae44bib76","doi-asserted-by":"publisher","DOI":"10.1103\/physrevb.96.144432","volume":"96","author":"Wang","year":"2017","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib77","doi-asserted-by":"publisher","DOI":"10.1007\/s11467-018-0798-7","volume":"13","author":"Wang","year":"2018","journal-title":"Frontiers Phys."},{"key":"njpabae44bib78","author":"Tran","year":"2020"},{"key":"njpabae44bib79","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.99.013847","volume":"99","author":"Lee","year":"2019","journal-title":"Phys. Rev. E"},{"key":"njpabae44bib80","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.108.215301","volume":"108","author":"Lu","year":"2012","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib81","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.114.205302","volume":"114","author":"Park","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib82","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.121.093602","volume":"121","author":"Baier","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib83","doi-asserted-by":"publisher","first-page":"3385","DOI":"10.1103\/physrevlett.69.3385","volume":"69","author":"Allenspach","year":"1992","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib84","doi-asserted-by":"publisher","first-page":"3155","DOI":"10.1103\/physrevlett.70.3155","volume":"70","author":"Kashuba","year":"1993","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib85","doi-asserted-by":"publisher","first-page":"10335","DOI":"10.1103\/physrevb.48.10335","volume":"48","author":"Kashuba","year":"1993","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib86","doi-asserted-by":"publisher","first-page":"677","DOI":"10.1038\/nature09597","volume":"468","author":"Parker","year":"2010","journal-title":"Nature"},{"key":"njpabae44bib87","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.117.127001","volume":"117","author":"Tanatar","year":"2016","journal-title":"Phys. Rev. Lett."},{"key":"njpabae44bib88","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1103\/physrevb.95.144209","volume":"95","author":"Mendoza-Coto","year":"2017","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib89","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1103\/physreve.86.051130","volume":"86","author":"Mendoza-Coto","year":"2012","journal-title":"Phys. Rev. E"},{"key":"njpabae44bib90","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1103\/physrevb.79.075437","volume":"79","author":"Barci","year":"2009","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib91","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1103\/physrevb.84.094439","volume":"84","author":"Barci","year":"2011","journal-title":"Phys. Rev. B"},{"key":"njpabae44bib92","first-page":"pp 0210","article-title":"Explainable artificial intelligence: a survey","author":"Do\u0161ilovi\u0107","year":"2018"},{"key":"njpabae44bib93","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1038\/s41567-019-0554-0","volume":"15","author":"Rem","year":"2019","journal-title":"Nat. Phys."},{"key":"njpabae44bib94","doi-asserted-by":"publisher","first-page":"921","DOI":"10.1038\/s41567-019-0565-x","volume":"15","author":"Bohrdt","year":"2019","journal-title":"Nat. Phys."},{"key":"njpabae44bib95","doi-asserted-by":"publisher","first-page":"484","DOI":"10.1038\/s41586-019-1319-8","volume":"570","author":"Zhang","year":"2019","journal-title":"Nature"},{"key":"njpabae44bib96","doi-asserted-by":"publisher","first-page":"578","DOI":"10.1038\/s41567-018-0081-4","volume":"14","author":"Koch-Janusz","year":"2018","journal-title":"Nat. Phys."},{"key":"njpabae44bib97","first-page":"pp 92","article-title":"Evaluation of pooling operations in convolutional architectures for object recognition","author":"Scherer","year":"2010"},{"key":"njpabae44bib98","first-page":"pp 807","article-title":"Rectified linear units improve restricted Boltzmann machines","author":"Nair","year":"2010"},{"key":"njpabae44bib99","article-title":"Adam: a method for stochastic optimization","author":"Kingma","year":"2015"},{"key":"njpabae44bib100","author":"Hinton","year":"2012"},{"key":"njpabae44bib101","first-page":"pp 265","article-title":"Tensorflow: a system for large-scale machine learning","author":"Abadi","year":"2016"}],"container-title":["New Journal of Physics"],"original-title":[],"link":[{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44","content-type":"text\/html","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44","content-type":"text\/html","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,27]],"date-time":"2021-11-27T16:51:18Z","timestamp":1638031878000},"score":1,"resource":{"primary":{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1367-2630\/abae44"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,1]]},"references-count":101,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2020,9,10]]},"published-print":{"date-parts":[[2020,9,1]]}},"URL":"https:\/\/doi.org\/10.1088\/1367-2630\/abae44","relation":{},"ISSN":["1367-2630"],"issn-type":[{"value":"1367-2630","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,1]]},"assertion":[{"value":"Detecting composite orders in layered models via machine learning","name":"article_title","label":"Article Title"},{"value":"New Journal of Physics","name":"journal_title","label":"Journal Title"},{"value":"paper","name":"article_type","label":"Article Type"},{"value":"\u00a9 2020 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft","name":"copyright_information","label":"Copyright Information"},{"value":"2020-04-28","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2020-08-11","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2020-09-10","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}