{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T12:27:03Z","timestamp":1730204823541,"version":"3.28.0"},"reference-count":25,"publisher":"IEEE","license":[{"start":{"date-parts":[[2021,12,14]],"date-time":"2021-12-14T00:00:00Z","timestamp":1639440000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,12,14]],"date-time":"2021-12-14T00:00:00Z","timestamp":1639440000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,12,14]],"date-time":"2021-12-14T00:00:00Z","timestamp":1639440000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,12,14]]},"DOI":"10.1109\/cdc45484.2021.9683657","type":"proceedings-article","created":{"date-parts":[[2022,2,1]],"date-time":"2022-02-01T15:50:18Z","timestamp":1643730618000},"page":"233-240","source":"Crossref","is-referenced-by-count":3,"title":["Variational Symplectic Accelerated Optimization on Lie Groups"],"prefix":"10.1109","author":[{"given":"Taeyoung","family":"Lee","sequence":"first","affiliation":[]},{"given":"Molei","family":"Tao","sequence":"additional","affiliation":[]},{"given":"Melvin","family":"Leok","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drq027"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2007.01.017"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/20M1383835"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s40305-020-00295-9"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1515\/9781400830244"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-21792-5"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-56953-6"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1063\/1.532892"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0552-5"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-006-0089-x"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1614734113"},{"key":"ref3","first-page":"5312","article-title":"A differential equation for modeling nesterov’s accelerated gradient method: Theory and insights","volume":"17","author":"su","year":"2016","journal-title":"The Journal of Machine Learning Research"},{"journal-title":"Geometric Numerical Integration Structure-Preserving Algorithms for Ordinary Differential Equations","year":"2006","author":"hairer","key":"ref6"},{"article-title":"On symplectic optimization","year":"2018","author":"betancourt","key":"ref5"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/090771648"},{"key":"ref7","first-page":"4269","article-title":"Variational optimization on Lie groups, with examples of leading (generalized) eigenvalue problems","author":"tao","year":"2020","journal-title":"International Conference on Artificial Intelligence and Statistics"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8853-9"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1017\/S096249290100006X"},{"key":"ref1","first-page":"372","article-title":"A method of solving a convex programming problem with convergence rate $\\mathcal{O}\\left( {1\/{k^2}} \\right)$","volume":"27","author":"nesterov","year":"1983","journal-title":"Soviet Mathematics Doklady"},{"article-title":"A variational formulation of accelerated optimization on Riemannian manifolds","year":"2021","author":"duruisseaux","key":"ref20"},{"key":"ref22","article-title":"Computational geometric mechanics and control of rigid bodies","author":"lee","year":"2008","journal-title":"Ph D Dissertation University of Michigan"},{"key":"ref21","first-page":"1297","article-title":"A continuous-time perspective for modeling acceleration in Riemannian optimization","author":"alimisis","year":"2020","journal-title":"International Conference on Artificial Intelligence and Statistics"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1177\/0278364913491297"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/1007077"},{"key":"ref25","volume":"26","author":"ma","year":"2012","journal-title":"An Invitation to 3D Vision From Images to Geometric Models"}],"event":{"name":"2021 60th IEEE Conference on Decision and Control (CDC)","start":{"date-parts":[[2021,12,14]]},"location":"Austin, TX, USA","end":{"date-parts":[[2021,12,17]]}},"container-title":["2021 60th IEEE Conference on Decision and Control (CDC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/9682670\/9682776\/09683657.pdf?arnumber=9683657","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T12:58:09Z","timestamp":1652187489000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9683657\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,14]]},"references-count":25,"URL":"https:\/\/doi.org\/10.1109\/cdc45484.2021.9683657","relation":{},"subject":[],"published":{"date-parts":[[2021,12,14]]}}}