{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T15:02:33Z","timestamp":1777388553220,"version":"3.51.4"},"reference-count":57,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,12,1]],"date-time":"2023-12-01T00:00:00Z","timestamp":1701388800000},"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":"publisher","award":["11961141005"],"award-info":[{"award-number":["11961141005"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Tsinghua University start-up fund"},{"name":"Tsinghua University Education Foundation","award":["042202008"],"award-info":[{"award-number":["042202008"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Aerosp. Electron. Syst."],"published-print":{"date-parts":[[2023,12]]},"DOI":"10.1109\/taes.2023.3299916","type":"journal-article","created":{"date-parts":[[2023,8,4]],"date-time":"2023-08-04T17:32:36Z","timestamp":1691170356000},"page":"8005-8021","source":"Crossref","is-referenced-by-count":2,"title":["Finite Dimensional Estimation Algebra for Time-Varying Filtering System and Optimal Transport Particle Filter: A Tangent Flow Point of View"],"prefix":"10.1109","volume":"59","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7784-6432","authenticated-orcid":false,"given":"Jiayi","family":"Kang","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2306-5248","authenticated-orcid":false,"given":"Xiaopei","family":"Jiao","sequence":"additional","affiliation":[{"name":"Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Huairou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7634-7981","authenticated-orcid":false,"given":"Stephen S.-T.","family":"Yau","sequence":"additional","affiliation":[{"name":"Department of Mathematical Science, Tsinghua University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1115\/1.3662552"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1115\/1.3658902"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.21236\/ad0821974"},{"key":"ref4","article-title":"Optimal control of continuous time stochastic systems","author":"Mortensen","year":"1966"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BF00536382"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/BF00531444"},{"key":"ref7","first-page":"299","article-title":"The geometry of the conditional density equation","volume-title":"Proc. Int. Conf. Anal. Optimisation Stochastic Syst.","author":"Brockett","year":"1980"},{"key":"ref8","first-page":"441","article-title":"Stochastic Systems: The mathematics of filtering and identification and applications","author":"Brockett","year":"1981","journal-title":"Nonlinear Systems and Nonlinear Estimation Theory"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.21236\/ada088077"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1964-0160009-0"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/050648353"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2017.1288300"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2018.2853576"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1979.1101943"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ASSPCC.2000.882463"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.2166\/wst.1993.0235"},{"key":"ref17","first-page":"181","article-title":"Finite-dimensional filters with nonlinear drift. I: A class of filters including both Kalman-Bucy and Benes filters","volume":"4","author":"Yau","year":"1994","journal-title":"J. Math. Syst., Estimation, Control"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/BF01211857"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.4310\/MRL.1999.v6.n6.a6"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/7.625127"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1080\/0020717031000098435"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1080\/00207170500107596"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/S036301290443991X"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2019.1637543"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/LCSYS.2017.2713604"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/16M1065471"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2018.1550268"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1137\/20M1350467"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.809169"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9399(2002)128:4(380)"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2258825"},{"key":"ref32","first-page":"2089","article-title":"S 2 KF: The smart sampling Kalman filter","volume-title":"Proc. 16th Int. Conf. Inf. Fusion","author":"Steinbring","year":"2013"},{"key":"ref33","first-page":"199","article-title":"On the translocation of masses","volume":"37","author":"Kantorovich","year":"1942","journal-title":"Dokl. Akad. Nauk. USSR (NS)"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1561\/2200000073"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2016.7525474"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2020.3015410"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2021.3076391"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/TAES.2022.3166863"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/130907367"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2012.07.022"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1162\/neco_a_01172"},{"key":"ref42","article-title":"On the use of transport and optimal control methods for Monte Carlo simulation","author":"Heng","year":"2016"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(67)90023-X"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/058"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160440402"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2264552"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/0047-259X(83)90043-X"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1080\/02664769300000058"},{"key":"ref49","first-page":"3203","article-title":"Bayesian sampling using stochastic gradient thermostats","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","author":"Ding","year":"2014"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2016.04.019"},{"key":"ref51","first-page":"4082","article-title":"Understanding and accelerating particle-based variational inference","volume-title":"Proc. 36th Int. Conf. Mach. Learn.","author":"Liu","year":"2019"},{"key":"ref52","volume-title":"Optimization With PDE Constraints","author":"Hinze","year":"2008"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1080\/17442500902723575"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-010-0302-4"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1137\/19M124513X"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(69)90110-1"},{"key":"ref57","volume-title":"Introduction to Matrix Analysis","author":"Bellman","year":"1997"}],"container-title":["IEEE Transactions on Aerospace and Electronic Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7\/10353051\/10209063.pdf?arnumber=10209063","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,20]],"date-time":"2023-12-20T00:00:04Z","timestamp":1703030404000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10209063\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12]]},"references-count":57,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/taes.2023.3299916","relation":{},"ISSN":["0018-9251","1557-9603","2371-9877"],"issn-type":[{"value":"0018-9251","type":"print"},{"value":"1557-9603","type":"electronic"},{"value":"2371-9877","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,12]]}}}