{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T16:36:45Z","timestamp":1774629405197,"version":"3.50.1"},"reference-count":39,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,11,1]],"date-time":"2022-11-01T00:00:00Z","timestamp":1667260800000},"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":["2018AAA0100203"],"award-info":[{"award-number":["2018AAA0100203"]}],"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":["62006020"],"award-info":[{"award-number":["62006020"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"Joint Research Fund in Astronomy under cooperative agreement between the National Natural Science Foundation of China (NSFC) and Chinese Academy of Sciences","doi-asserted-by":"publisher","award":["U2031136"],"award-info":[{"award-number":["U2031136"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Cybern."],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1109\/tcyb.2021.3079906","type":"journal-article","created":{"date-parts":[[2021,6,3]],"date-time":"2021-06-03T04:05:10Z","timestamp":1622693110000},"page":"12205-12216","source":"Crossref","is-referenced-by-count":6,"title":["Bayesian Pseudoinverse Learners: From Uncertainty to Deterministic Learning"],"prefix":"10.1109","volume":"52","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0354-5490","authenticated-orcid":false,"given":"Qian","family":"Yin","sequence":"first","affiliation":[{"name":"Image Processing and Pattern Recognition Lab, School of Artificial Intelligence, Beijing Normal University, Beijing, China"}]},{"given":"Bingxin","family":"Xu","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory of Information Service Engineering, Beijing Union University, Beijing, China"}]},{"given":"Kaiyan","family":"Zhou","sequence":"additional","affiliation":[{"name":"Image Processing and Pattern Recognition Lab, School of Artificial Intelligence, Beijing Normal University, Beijing, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7122-1084","authenticated-orcid":false,"given":"Ping","family":"Guo","sequence":"additional","affiliation":[{"name":"Image Processing and Pattern Recognition Lab, School of Systems Science, Beijing Normal University, Beijing, China"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2011.0553"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1038\/nature14541"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TKDE.2021.3049540"},{"key":"ref4","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0745-0","volume-title":"Bayesian Learning for Neural Networks","author":"Neal","year":"1996"},{"key":"ref5","volume-title":"Information Theory, Inference and Learning Algorithms","author":"MacKay","year":"2003"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.3150\/12-BEJSP17"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511984037"},{"key":"ref8","volume-title":"Synergetic learning systems: Concept, architecture, and algorithms","author":"Guo","year":"2020"},{"key":"ref9","doi-asserted-by":"crossref","DOI":"10.1109\/CIS58238.2022.00049","article-title":"Methodology for building synergetic learning system","volume-title":"Proc. 3rd China Syst. Sci. Conf. (CSSC)","author":"Guo"},{"key":"ref10","article-title":"Synergetic learning systems (II): Interpretable neural network model with statistical physics approach","volume-title":"Proc. 5th Nat. Stat. Phys. Complex Syst. Conf. (SPCSC)","author":"Guo"},{"key":"ref11","first-page":"3","article-title":"Autoencoders, minimum description length and Helmholtz free energy","volume-title":"Proc. 7th NIPS Conf. Adv. Neural Inf. Process. Syst.","author":"Hinton"},{"key":"ref12","article-title":"Chapter 10: Approximate Inference","volume-title":"Pattern Recognition and Machine Learning","author":"Bishop","year":"2006"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2002.1000144"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2003.808176"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.patcog.2008.02.004"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198538493.001.0001"},{"key":"ref17","first-page":"833","article-title":"Contractive auto-encoders: Explicit invariance during feature extraction","volume-title":"Proc. 28th Int. Conf. Mach. Learn. (ICML)","author":"Rifai"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-23783-6_41"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.5220\/0003669301120117"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-012-9272-7"},{"key":"ref21","first-page":"1041","article-title":"An exact supervised learning for a three-layer supervised neural network","volume-title":"Proc. Int. Conf. Neural Inf. Process. (ICONIP)","volume":"2","author":"Guo"},{"key":"ref22","first-page":"321","article-title":"Pseudoinverse learning algorithm for feedforward neural networks","volume-title":"Proc. Adv. Neural Netw. Appl.","author":"Guo"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-2312(03)00385-0"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1995.7.1.108"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2018.00349"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/SMC.2017.8122732"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2018.8477907"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-16841-4_17"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.01.039"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1002\/widm.1200"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.12.007"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5014-9_5"},{"key":"ref33","article-title":"Variational algorithms for approximate Bayesian inference","author":"Beal","year":"2003"},{"key":"ref34","volume-title":"The Variational Bayes Method in Signal Processing","author":"Sm\u00eddl","year":"2006"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2017.1285773"},{"key":"ref36","first-page":"814","article-title":"Black box variational inference","volume-title":"Proc. 17th Int. Conf. Artif. Intell. Stat. (AISTATS)","author":"Ranganath"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1063\/1.2811677"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-26354-6_17"},{"key":"ref39","volume-title":"PILAE: A Non-Gradient Descent Learning Scheme for Deep Feedforward Neural Networks","author":"Guo","year":"2018"}],"container-title":["IEEE Transactions on Cybernetics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6221036\/9920527\/09445740.pdf?arnumber=9445740","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,9]],"date-time":"2024-01-09T23:47:29Z","timestamp":1704844049000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9445740\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11]]},"references-count":39,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tcyb.2021.3079906","relation":{},"ISSN":["2168-2267","2168-2275"],"issn-type":[{"value":"2168-2267","type":"print"},{"value":"2168-2275","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11]]}}}