{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T21:06:08Z","timestamp":1780434368737,"version":"3.54.1"},"reference-count":57,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["62073172"],"award-info":[{"award-number":["62073172"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Natural Science Foundation of Jiangsu Province of China","award":["BK20221329"],"award-info":[{"award-number":["BK20221329"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Circuits Syst. I"],"published-print":{"date-parts":[[2026,6]]},"DOI":"10.1109\/tcsi.2025.3642284","type":"journal-article","created":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T18:50:28Z","timestamp":1765997428000},"page":"4409-4422","source":"Crossref","is-referenced-by-count":0,"title":["How Do Higher-Order Interactions Affect the Dynamic Evolution of Layered Neural Networks"],"prefix":"10.1109","volume":"73","author":[{"given":"Shiguo","family":"Xu","sequence":"first","affiliation":[{"name":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8992-153X","authenticated-orcid":false,"given":"Min","family":"Xiao","sequence":"additional","affiliation":[{"name":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3409-2970","authenticated-orcid":false,"given":"Yuanyuan","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Information and Communication Engineering, Hainan University, Haikou, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9635-6551","authenticated-orcid":false,"given":"Jing","family":"Zhao","sequence":"additional","affiliation":[{"name":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0572-5938","authenticated-orcid":false,"given":"Wei Xing","family":"Zheng","sequence":"additional","affiliation":[{"name":"School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney, NSW, Australia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9610-846X","authenticated-orcid":false,"given":"Tingwen","family":"Huang","sequence":"additional","affiliation":[{"name":"Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2024.3382259"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TETCI.2024.3375019"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIA.2024.3405431"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-023-11385-z"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2023.11.053"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s12559-022-10094-4"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.3389\/fnagi.2022.891433"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2022.109202"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TAFFC.2023.3265653"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2022.112771"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.11948\/20230175"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-021-06214-0"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2021.3109566"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2021.3107330"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2024.3413366"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2020.3037094"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s12559-021-09939-1"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2023.129431"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s12559-025-10411-7"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s10618-024-01064-5"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424501918"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2020.05.004"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s10827-017-0672-6"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1111\/cns.14037"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1140\/epjs\/s11734-024-01161-y"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-024-54472-y"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-023-37190-9"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-024-51388-5"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2023.129194"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2024.3475485"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2021.3074654"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1063\/5.0217017"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2025.116368"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2024.3513406"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.105.L042202"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2024.115467"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.124.218301"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.108.024215"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s12080-020-00481-8"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1111\/ele.13211"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-025-15320-1"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/s11571-023-10055-z"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2025.129363"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-021-07177-6"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-023-01972-7"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424501487"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/TNSE.2023.3329020"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2023137"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2023.128171"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2024.3525038"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2024.3377446"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2023.09.019"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1038\/s41593-018-0314-y"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1088\/1402-4896\/adb34a"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2023.3240403"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2016.2567639"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2023.3326186"}],"container-title":["IEEE Transactions on Circuits and Systems I: Regular Papers"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/8919\/11541279\/11302809.pdf?arnumber=11302809","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T20:09:51Z","timestamp":1780430991000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11302809\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6]]},"references-count":57,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tcsi.2025.3642284","relation":{},"ISSN":["1549-8328","1558-0806"],"issn-type":[{"value":"1549-8328","type":"print"},{"value":"1558-0806","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,6]]}}}