{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T12:32:34Z","timestamp":1770813154541,"version":"3.50.1"},"reference-count":45,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"2","license":[{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2019YFA0708700"],"award-info":[{"award-number":["2019YFA0708700"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62173345"],"award-info":[{"award-number":["62173345"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002886","name":"Major Scientific and Technological Projects of China National Petroleum Corporation","doi-asserted-by":"publisher","award":["ZD2019-183-008"],"award-info":[{"award-number":["ZD2019-183-008"]}],"id":[{"id":"10.13039\/501100002886","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["20CX05002A"],"award-info":[{"award-number":["20CX05002A"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["20CX05012A"],"award-info":[{"award-number":["20CX05012A"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Joint Fund of Science and Technology Department of Liaoning Province and State Key Laboratory of Robotics","award":["2021030195-JH3\/103"],"award-info":[{"award-number":["2021030195-JH3\/103"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Cybern."],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1109\/tcyb.2021.3127152","type":"journal-article","created":{"date-parts":[[2022,5,27]],"date-time":"2022-05-27T20:59:49Z","timestamp":1653685189000},"page":"811-824","source":"Crossref","is-referenced-by-count":28,"title":["Fractional Approximation of Broad Learning System"],"prefix":"10.1109","volume":"54","author":[{"given":"Shujun","family":"Wu","sequence":"first","affiliation":[{"name":"College of Science, China University of Petroleum (East China), Qingdao, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4316-932X","authenticated-orcid":false,"given":"Jian","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Science, China University of Petroleum (East China), Qingdao, China"}]},{"given":"Huaying","family":"Sun","sequence":"additional","affiliation":[{"name":"College of Science, China University of Petroleum (East China), Qingdao, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6691-6762","authenticated-orcid":false,"given":"Kai","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Petroleum Engineering, China University of Petroleum (East China), Qingdao, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6935-901X","authenticated-orcid":false,"given":"Nikhil R.","family":"Pal","sequence":"additional","affiliation":[{"name":"Electronics and Communication Sciences Unit and the Centre for Artificial Intelligence and Machine Learning, Indian Statistical Institute, Kolkata, India"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2017.2716952"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(89)90020-8"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1017\/S0962492900002919"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF02551274"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(89)90003-8"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(91)90009-T"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2017.12.007"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/18.256500"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2856-1_21"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/5.58342"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(95)00124-7"},{"issue":"2","key":"ref12","doi-asserted-by":"crossref","first-page":"169","DOI":"10.4208\/ata.2013.v29.n2.8","article-title":"Constructive approximation by superposition of sigmoidal functions","volume":"29","author":"Costarelli","year":"2013","journal-title":"Anal. Theory Appl."},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2016.06.002"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(05)80020-6"},{"issue":"1","key":"ref15","first-page":"185","article-title":"The construction and approximation of neural networks operators with Gaussian activation function","volume":"18","author":"Chen","year":"2013","journal-title":"Math. Commun."},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2017.07.002"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-007-9070-9"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-017-9421-3"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2018.2863020"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2018.2857815"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2018.2866622"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/72.471375"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/NAECON.1990.112826"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s40435-015-0219-5"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1080\/00207160701864426"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/ISSPA.2007.4555563"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.anucene.2017.11.005"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2012.01.019"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2009.2035980"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.05.001"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2009.03.183"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-14574-2"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2008.12.013"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2006.875977"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2013.2239987"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2021.02.059"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/SMC42975.2020.9283159"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/s12559-019-09698-0"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.2988792"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2019.2934823"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.2969705"},{"key":"ref42","volume-title":"Sobolev Spaces","author":"Adam","year":"2003"},{"key":"ref43","volume-title":"Real and Complex Analysis (Higher Mathematics Series)","author":"Rudin","year":"1987"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1631\/FITEE.1900593"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2021.06.021"}],"container-title":["IEEE Transactions on Cybernetics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6221036\/10402573\/09784155.pdf?arnumber=9784155","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,29]],"date-time":"2024-11-29T18:55:20Z","timestamp":1732906520000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9784155\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2]]},"references-count":45,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1109\/tcyb.2021.3127152","relation":{},"ISSN":["2168-2267","2168-2275"],"issn-type":[{"value":"2168-2267","type":"print"},{"value":"2168-2275","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,2]]}}}