{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T17:41:55Z","timestamp":1783446115200,"version":"3.55.0"},"reference-count":78,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["204839"],"award-info":[{"award-number":["204839"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Dyn. Syst."],"published-print":{"date-parts":[[2023,9,30]]},"DOI":"10.1137\/22m1516865","type":"journal-article","created":{"date-parts":[[2023,8,8]],"date-time":"2023-08-08T13:14:40Z","timestamp":1691500480000},"page":"2082-2122","source":"Crossref","is-referenced-by-count":12,"title":["Learning Theory for Dynamical Systems"],"prefix":"10.1137","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0280-7508","authenticated-orcid":true,"given":"Tyrus","family":"Berry","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2085-4743","authenticated-orcid":true,"given":"Suddhasattwa","family":"Das","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,8,8]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132520"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.anihpc.2004.12.002"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385703000579"},{"key":"ref4","volume-title":"Random Dynamical Systems","author":"Arnold L.","year":"1991"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-005-1380-z"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2005.04.005"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/12088183X"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.91.032915"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1175\/MWR-D-16-0428.1"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/aafaa8"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2005.161.1423"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1063\/5.0024890"},{"key":"ref13","volume-title":"Time Series Analysis: Forecasting and Control","author":"Box G.","year":"2015"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2021.133008"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(89)90074-2"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2006.04.006"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1023\/B:JOSS.0000019817.71073.61"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.144102"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-019-02272-w"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2020.05.008"},{"key":"ref21","volume":"29","author":"Das S.","year":"2023","journal-title":"J. Funct. Anal. Appl."},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/aa99a0"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(95)00225-1"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(00)00657-5"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.2991\/978-94-6239-124-6"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385709000339"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177705909"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/BF02760620"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1080\/00031305.1975.10477374"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-021-25801-2"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2021.02.004"},{"key":"ref33","first-page":"103","volume":"44","author":"Giannakis D.","year":"2015","journal-title":"J. Mach. Learn. Res. Proc."},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2021.01.025"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1017\/etds.2017.25"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.103.062204"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2014.03.004"},{"key":"ref39","volume-title":"Lectures on Ergodic Theory","author":"Halmos P.","year":"1956"},{"key":"ref40","first-page":"011021","volume":"6","author":"Hamilton F.","year":"2016","journal-title":"Phys. Rev. X"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1140\/epjst\/e2016-60363-2"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-1988-15701-1"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109922"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2020.05.013"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2021.132882"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1997.9.8.1735"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1126\/science.1091277"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.45.3553"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684777"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.2978039"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(97)00171-1"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1038\/nature14539"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.2307\/1971328"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.2307\/1971329"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1017\/etds.2018.33"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1134\/S106378420808001X"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1063\/1.4979665"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1016\/j.cosrev.2009.03.005"},{"key":"ref59","first-page":"947","volume":"25","author":"Ma C.","year":"2018","journal-title":"Commun. Comput. Phys."},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132368"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-022-07469-5"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1063\/1.5010300"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1070\/IM1976v010n06ABEH001835"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-020-05196-9"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1007\/BF02684768"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.4341"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1007\/BF01053745"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.76.026220"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1063\/1.2837397"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1175\/JCLI-D-16-0176.1"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90101-R"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385799126555"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1038\/344734a0"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2016.09.003"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1017\/etds.2018.50"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385704000604"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-10-04947-0"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.2307\/120960"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1007\/BF02808180"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/29\/9\/2888"}],"container-title":["SIAM Journal on Applied Dynamical Systems"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,9,29]],"date-time":"2023-09-29T15:37:24Z","timestamp":1696001844000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1516865"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,8]]},"references-count":78,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,9,30]]}},"alternative-id":["10.1137\/22M1516865"],"URL":"https:\/\/doi.org\/10.1137\/22m1516865","relation":{},"ISSN":["1536-0040"],"issn-type":[{"value":"1536-0040","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,8]]}}}