{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:45:45Z","timestamp":1750308345786,"version":"3.41.0"},"reference-count":58,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"funder":[{"DOI":"10.13039\/100006094","name":"University of Delaware","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006094","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2025]]},"DOI":"10.1109\/tsp.2025.3567361","type":"journal-article","created":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T17:48:53Z","timestamp":1747158533000},"page":"2110-2122","source":"Crossref","is-referenced-by-count":0,"title":["Parameter Estimation on Homogeneous Spaces"],"prefix":"10.1109","volume":"73","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2126-2854","authenticated-orcid":false,"given":"Shiraz","family":"Khan","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, University of Delaware, Newark, DE, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0542-9028","authenticated-orcid":false,"given":"Gregory S.","family":"Chirikjian","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, University of Delaware, Newark, DE, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2014.10.004"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2005.845428"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2020.109449"},{"issue":"146","key":"ref4","first-page":"1","article-title":"New insights and perspectives on the natural gradient method","volume":"21","author":"Martens","year":"2020","journal-title":"J. Mach. Learn. Res."},{"key":"ref5","first-page":"8082","article-title":"Fast convergence of natural gradient descent for over-parameterized neural networks","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","volume":"32","author":"Zhang","year":"2019"},{"key":"ref6","first-page":"10891","article-title":"Understanding approximate Fisher information for fast convergence of natural gradient descent in wide neural networks","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","volume":"33","author":"Karakida","year":"2020"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611977653.ch84"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP49357.2023.10094942"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2018.2873704"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TRO.2020.3001718"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2023.3280715"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TRO.2006.878978"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/78.923295"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2242068"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.3934\/jgm.2010.2.119"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-25040-3_71"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2015.7402526"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1093\/imaiai\/iat006"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/CDC42340.2020.9304404"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2023.111199"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/s0924-6509(08)x7013-8"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1515\/9781400830244"},{"key":"ref23","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-9982-5","volume-title":"Smooth Manifolds","author":"Lee","year":"2012"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2018.2886700"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/S0895479895290954"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1017\/9781009166164"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2021.04.012"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-9761-9_6"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2019.2929112"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2018.2827326"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1142\/S0219749920300016"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-021-81264-x"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4803-9"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-46040-2"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.4310\/jdg\/1214440436"},{"key":"ref36","first-page":"888","article-title":"Fisher-Rao metric, geometry, and complexity of neural networks","volume-title":"Proc. 22nd Int. Conf. Artif. Intell. Statist.","author":"Liang","year":"2019"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1162\/089976698300017746"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2594085"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2023.3255546"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2017.2693418"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR52688.2022.01448"},{"key":"ref42","first-page":"895","article-title":"On the dimensionality of word embedding","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","volume":"31","author":"Yin","year":"2018"},{"article-title":"Reasoning about linguistic regularities in word embeddings using matrix manifolds","year":"2015","author":"Mahadevan","key":"ref43"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2014.7040393"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1177\/02783649922066187"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1177\/0278364914546173"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/ICRA48506.2021.9560750"},{"article-title":"Recovery of localization errors in sensor networks using inter-agent measurements","year":"2023","author":"Khan","key":"ref48"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.23919\/ACC.2018.8431528"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmva.2010.03.007"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2024.3480280"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2023.109232"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1090\/stml\/022"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/S0001-8708(76)80002-3"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1126-6"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-7116-5_16"},{"key":"ref57","volume-title":"Notes on the Theorem of Baker-Campbell-Hausdorff-Dynkin","volume":"35","author":"M\u00fcger","year":"2019"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1007\/978-4-431-54919-2"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/78\/10807692\/11002750.pdf?arnumber=11002750","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T17:41:40Z","timestamp":1750268500000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11002750\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"references-count":58,"URL":"https:\/\/doi.org\/10.1109\/tsp.2025.3567361","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"type":"print","value":"1053-587X"},{"type":"electronic","value":"1941-0476"}],"subject":[],"published":{"date-parts":[[2025]]}}}