{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,26]],"date-time":"2025-05-26T06:47:57Z","timestamp":1748242077298,"version":"3.40.3"},"publisher-location":"Cham","reference-count":10,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030802080"},{"type":"electronic","value":"9783030802097"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-80209-7_82","type":"book-chapter","created":{"date-parts":[[2021,7,14]],"date-time":"2021-07-14T00:02:40Z","timestamp":1626220960000},"page":"763-771","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Efficient Quasi-Geodesics on the Stiefel Manifold"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0671-6291","authenticated-orcid":false,"given":"Thomas","family":"Bendokat","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1692-3996","authenticated-orcid":false,"given":"Ralf","family":"Zimmermann","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,14]]},"reference":[{"key":"82_CR1","doi-asserted-by":"publisher","DOI":"10.1515\/9781400830244","volume-title":"Optimization Algorithms on Matrix Manifolds","author":"PA Absil","year":"2008","unstructured":"Absil, P.A., Mahony, R., Sepulchre, R.: Optimization Algorithms on Matrix Manifolds. Princeton University Press, Princeton (2008)"},{"key":"82_CR2","doi-asserted-by":"crossref","unstructured":"Batista, J., Krakowski, K., Leite, F.S.: Exploring quasi-geodesics on Stiefel manifolds in order to smooth interpolate between domains. In: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp. 6395\u20136402 (2017)","DOI":"10.1109\/CDC.2017.8264624"},{"key":"82_CR3","unstructured":"Bendokat, T., Zimmermann, R., Absil, P.A.: A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects. arXiv:2011.13699v2 (2020)"},{"issue":"2","key":"82_CR4","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1137\/S0895479895290954","volume":"20","author":"A Edelman","year":"1998","unstructured":"Edelman, A., Arias, T.A., Smith, S.T.: The geometry of algorithms with orthogonality constraints. SIAM J. Matrix. Anal. Appl. 20(2), 303\u2013353 (1998)","journal-title":"SIAM J. Matrix. Anal. Appl."},{"key":"82_CR5","doi-asserted-by":"publisher","first-page":"3948","DOI":"10.1007\/s12220-019-00223-1","volume":"30","author":"V Jurdjevic","year":"2019","unstructured":"Jurdjevic, V., Markina, I., Silva Leite, F.: Extremal curves on Stiefel and Grassmann manifolds. J. Geom. Anal. 30, 3948\u20133978 (2019)","journal-title":"J. Geom. Anal."},{"key":"82_CR6","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1016\/j.cam.2016.07.018","volume":"311","author":"KA Krakowski","year":"2017","unstructured":"Krakowski, K.A., Machado, L., Silva Leite, F., Batista, J.: A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds. J. Comput. Appl. Math. 311, 84\u201399 (2017)","journal-title":"J. Comput. Appl. Math."},{"key":"82_CR7","series-title":"Lecture Notes in Electrical Engineering","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1007\/978-3-030-58653-9_17","volume-title":"CONTROLO 2020","author":"L Machado","year":"2021","unstructured":"Machado, L., Leite, F.S., Batzies, E.: Geometric algorithm to generate interpolating splines on Grassmann and Stiefel manifolds. In: Gon\u00e7alves, J.A., Braz-C\u00e9sar, M., Coelho, J.P. (eds.) CONTROLO 2020. LNEE, vol. 695, pp. 180\u2013189. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-58653-9_17"},{"key":"82_CR8","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1016\/j.neucom.2004.11.035","volume":"67","author":"Y Nishimori","year":"2005","unstructured":"Nishimori, Y., Akaho, S.: Learning algorithms utilizing quasi-geodesic flows on the Stiefel manifold. Neurocomputing 67, 106\u2013135 (2005)","journal-title":"Neurocomputing"},{"key":"82_CR9","unstructured":"Rossmann, W.: Lie Groups: An Introduction Through Linear Groups. Oxford Graduate Texts in Mathematics. Oxford University Press, Oxford (2006)"},{"issue":"2","key":"82_CR10","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1137\/16M1074485","volume":"38","author":"R Zimmermann","year":"2017","unstructured":"Zimmermann, R.: A matrix-algebraic algorithm for the Riemannian logarithm on the Stiefel manifold under the canonical metric. SIAM J. Matrix. Anal. Appl. 38(2), 322\u2013342 (2017)","journal-title":"SIAM J. Matrix. Anal. Appl."}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-80209-7_82","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,14]],"date-time":"2021-07-14T00:11:27Z","timestamp":1626221487000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-80209-7_82"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030802080","9783030802097"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-80209-7_82","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"14 July 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"GSI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Geometric Science of Information","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Paris","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"21 July 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"23 July 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gsi2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.see.asso.fr\/en\/GSI2021?screen_check=done&Width=1280&Height=720","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"125","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"98","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"78% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"The conference was held virtually.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}