{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T20:21:21Z","timestamp":1783455681324,"version":"3.55.0"},"reference-count":46,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T00:00:00Z","timestamp":1761955200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T00:00:00Z","timestamp":1761955200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T00:00:00Z","timestamp":1761955200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"National Key Research and Development Program of China","award":["2022YFE0114200"],"award-info":[{"award-number":["2022YFE0114200"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62471121"],"award-info":[{"award-number":["62471121"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["N2424010-18"],"award-info":[{"award-number":["N2424010-18"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shenyang Science and Technology Plan Fund Project","award":["23-503-6-17"],"award-info":[{"award-number":["23-503-6-17"]}]},{"name":"National Key Laboratory of Metallurgical Intelligent Manufacturing System through Liaoning Provincial Science and Technology Plan","award":["2023JH2\/101700370"],"award-info":[{"award-number":["2023JH2\/101700370"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Ind. Inf."],"published-print":{"date-parts":[[2025,11]]},"DOI":"10.1109\/tii.2025.3594054","type":"journal-article","created":{"date-parts":[[2025,8,18]],"date-time":"2025-08-18T19:50:39Z","timestamp":1755546639000},"page":"9069-9080","source":"Crossref","is-referenced-by-count":3,"title":["Hierarchical Stochastic Spatial\u2013Temporal Transformer for Trustworthy State-of-Health Estimation of Batteries in Industrial Applications"],"prefix":"10.1109","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-0632-931X","authenticated-orcid":false,"given":"Xinhui","family":"Lin","sequence":"first","affiliation":[{"name":"School of Computer Science and Engineering and the Engineering Research Center of Security Technology of Complex Network System, Ministry of Education, Northeastern University, Shenyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8424-8542","authenticated-orcid":false,"given":"Yuanguo","family":"Bi","sequence":"additional","affiliation":[{"name":"School of Computer Science and Engineering and the Engineering Research Center of Security Technology of Complex Network System, Ministry of Education, Northeastern University, Shenyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2240-9213","authenticated-orcid":false,"given":"Rao","family":"Fu","sequence":"additional","affiliation":[{"name":"School of Computer Science and Engineering and the Engineering Research Center of Security Technology of Complex Network System, Ministry of Education, Northeastern University, Shenyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoling","family":"Zhang","sequence":"additional","affiliation":[{"name":"Institute of Artificial Intelligence, Shenyang University of Technology, Shenyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5829-6850","authenticated-orcid":false,"given":"Liang","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Computer Science, Shenyang Aerospace University, Shenyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1069-3993","authenticated-orcid":false,"given":"Ammar","family":"Hawbani","sequence":"additional","affiliation":[{"name":"School of Computer Science, Shenyang Aerospace University, Shenyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhenyu","family":"Yin","sequence":"additional","affiliation":[{"name":"Shenyang Institute of Computing Technology, Chinese Academy of Sciences, Shenyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2024.114783"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2024.110325"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2023.3344825"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-020-1994-5"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1038\/s41560-019-0356-8"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-022-29837-w"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TITS.2023.3300911"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2023.09.009"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/JAS.2024.124290"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1609\/aaai.v35i14.17533"},{"key":"ref11","first-page":"909","article-title":"Uncertainty-aware attention for reliable interpretation and prediction","volume-title":"Adv. Neural Inf. Proces. Syst","author":"Heo","year":"2018"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2023.3333933"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-023-40670-7"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2022.3156965"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmsy.2023.11.009"},{"key":"ref16","first-page":"4369","article-title":"Accurate uncertainties for deep learning using calibrated regression","volume-title":"Proc. Int. Conf. Mach. Learn.","author":"Kuleshov","year":"2018"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TTE.2023.3304670"},{"issue":"1","key":"ref18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/02331880309257","article-title":"Bayesian filtering: From Kalman filters to particle filters, and beyond","volume":"182","author":"Chen","year":"2003","journal-title":"Statistics"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2016.2519328"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2020.2978688"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2020.3000126"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.measurement.2022.110817"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.est.2023.107883"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TIM.2024.3351254"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/tr.2024.3451650"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1038\/s43586-021-00017-2"},{"key":"ref27","article-title":"Sources of uncertainty in supervised machine learninga statisticians view","author":"Gruber","year":"2025"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2021.05.008"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2021.3114724"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2018.2794997"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TTE.2022.3161140"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TTE.2023.3267124"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TTE.2024.3357728"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2023.110796"},{"key":"ref35","first-page":"1","article-title":"Categorical reparameterization with Gumbel-Softmax","volume-title":"Int. Conf. Learn. Represent","author":"Jang","year":"2017"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1609\/aaai.v36i10.21364"},{"key":"ref37","first-page":"1","article-title":"Invertible gaussian reparameterization: Revisiting the Gumbel-Softmax","volume-title":"Adv. Neural Inf. Proces. Syst., Virtual, Online","author":"Potapczynski","year":"2020"},{"key":"ref38","article-title":"HSTFormer: Hierarchical Spatial-Temporal Transformers for 3D Hum. Pose Estimation","author":"Qian","year":"2023"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR52688.2022.01942"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.18653\/v1\/2021.naacl-main.166"},{"key":"ref41","first-page":"1","article-title":"Fast transformers with clustered attention","volume-title":"Adv. Neural Inf. Proces. Syst., Virtual, Online","author":"Vyas","year":"2020"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.est.2023.109884"},{"key":"ref43","first-page":"1651","article-title":"Dropout as a Bayesian approximation: Representing model uncertainty in deep learning","volume-title":"In Int. Conf, Mach. Learn.","author":"Gal","year":"2016"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.21437\/Interspeech.2014-80"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2020.3008223"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.est.2022.106437"}],"container-title":["IEEE Transactions on Industrial Informatics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/9424\/11206732\/11126537.pdf?arnumber=11126537","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T17:59:54Z","timestamp":1760983194000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11126537\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11]]},"references-count":46,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tii.2025.3594054","relation":{},"ISSN":["1551-3203","1941-0050"],"issn-type":[{"value":"1551-3203","type":"print"},{"value":"1941-0050","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,11]]}}}