{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,3]],"date-time":"2025-10-03T17:51:24Z","timestamp":1759513884938,"version":"3.41.0"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319684444"},{"type":"electronic","value":"9783319684451"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-68445-1_80","type":"book-chapter","created":{"date-parts":[[2017,10,24]],"date-time":"2017-10-24T00:40:36Z","timestamp":1508805636000},"page":"692-700","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Maximum Likelihood Estimators on Manifolds"],"prefix":"10.1007","author":[{"given":"Hatem","family":"Hajri","sequence":"first","affiliation":[]},{"given":"Salem","family":"Said","sequence":"additional","affiliation":[]},{"given":"Yannick","family":"Berthoumieu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,10,24]]},"reference":[{"key":"80_CR1","doi-asserted-by":"publisher","first-page":"2153","DOI":"10.1109\/TIT.2017.2653803","volume":"63","author":"S Said","year":"2017","unstructured":"Said, S., et al.: Riemannian Gaussian distributions on the space of symmetric positive definite matrices. IEEE Trans. Inf. Theory 63, 2153\u20132170 (2017)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"80_CR2","doi-asserted-by":"publisher","first-page":"98","DOI":"10.3390\/e18030098","volume":"18","author":"H Hajri","year":"2016","unstructured":"Hajri, H., et al.: Riemannian Laplace distribution on the space of symmetric positive definite matrices. Entropy 18, 98 (2016)","journal-title":"Entropy"},{"key":"80_CR3","doi-asserted-by":"crossref","unstructured":"Hajri, H., et al.: A geometric learning approach on the space of complex covariance matrices. In: ICASSP 2017 (2017)","DOI":"10.1109\/ICASSP.2017.7952574"},{"key":"80_CR4","doi-asserted-by":"crossref","unstructured":"Said, S., et al.: Gaussian distributions on Riemannian symmetric spaces: statistical learning with structured covariance matrices. IEEE Trans. Inf. Theory (2017)","DOI":"10.1109\/TIT.2017.2713829"},{"key":"80_CR5","doi-asserted-by":"crossref","unstructured":"Zanini, P., et al.: Parameters estimate of Riemannian Gaussian distribution in the manifold of covariance matrices. In: IEEE Sensor Array. Rio de Janeiro (2016)","DOI":"10.1109\/SAM.2016.7569687"},{"key":"80_CR6","doi-asserted-by":"crossref","unstructured":"Turaga, P.K., et al.: Statistical analysis on Stiefel and Grassmann manifolds with applications in computer vision. In: IEEE Computer Society (2008)","DOI":"10.1109\/CVPR.2008.4587733"},{"key":"80_CR7","doi-asserted-by":"crossref","unstructured":"Aggarwal, G., et al.: A system identification approach for video-based face recognition. In: ICPR, vol. 4, pp. 175\u2013178. IEEE Computer Society (2004)","DOI":"10.1109\/ICPR.2004.1333732"},{"issue":"11","key":"80_CR8","doi-asserted-by":"publisher","first-page":"2273","DOI":"10.1109\/TPAMI.2011.52","volume":"33","author":"PK Turaga","year":"2011","unstructured":"Turaga, P.K., et al.: Statistical computations on Grassmann and Stiefel manifolds for image and video-based recognition. IEEE Trans. Pattern Anal. Mach. Intell. 33(11), 2273\u20132286 (2011)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"80_CR9","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1112\/blms\/16.2.81","volume":"16","author":"DG Kendall","year":"1984","unstructured":"Kendall, D.G.: Shape manifolds, Procrustean metrics, and complex projective spaces. Bull. London Math. Soc. 16, 81\u2013121 (1984)","journal-title":"Bull. London Math. Soc."},{"key":"80_CR10","series-title":"Lecture Notes in Statistics","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-21540-2","volume-title":"Statistics on Special Manifolds","author":"Y Chikuse","year":"2003","unstructured":"Chikuse, Y.: Statistics on Special Manifolds. Lecture Notes in Statistics, vol. 174. Springer, New York (2003)"},{"issue":"4","key":"80_CR11","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1109\/TPAMI.2013.170","volume":"36","author":"J Kwon","year":"2014","unstructured":"Kwon, J., et al.: A geometric particle filter for template-based visual tracking. IEEE Trans. Pattern Anal. Mach. Intell. 36(4), 625\u2013643 (2014)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"11","key":"80_CR12","doi-asserted-by":"publisher","first-page":"2789","DOI":"10.1109\/TAC.2012.2195809","volume":"57","author":"J Trumpf","year":"2012","unstructured":"Trumpf, J., et al.: Analysis of non-linear attitude observers for time-varying reference measurements. IEEE Trans. Autom. Control 57(11), 2789\u20132800 (2012)","journal-title":"IEEE Trans. Autom. Control"},{"key":"80_CR13","doi-asserted-by":"crossref","unstructured":"Fletcher, P.T., et al.: Gaussian distributions on Lie groups and their application to statistical shape analysis. In: 18th International Conference on Information Processing in Medical Imaging, UK (2003)","DOI":"10.1007\/978-3-540-45087-0_38"},{"issue":"2","key":"80_CR14","doi-asserted-by":"publisher","first-page":"655","DOI":"10.1090\/S0002-9939-2010-10541-5","volume":"139","author":"B Afsari","year":"2011","unstructured":"Afsari, B.: Riemannian $$L^p$$ center of mass: existence, uniqueness and convexity. Proc. Am. Math. Soc. 139(2), 655\u2013673 (2011)","journal-title":"Proc. Am. Math. Soc."},{"issue":"1","key":"80_CR15","first-page":"1","volume":"3","author":"R Bhattacharya","year":"2003","unstructured":"Bhattacharya, R., Patrangenaru, V.: Large sample theory of intrinsic and extrinsic sample means on manifolds. Ann. Stat. 3(1), 1\u201329 (2003)","journal-title":"Ann. Stat."},{"key":"80_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/b98823","volume-title":"Quasi-Likelihood and Its Application: A General Approach to Optimal Parameter Estimation","author":"CC Heyde","year":"1997","unstructured":"Heyde, C.C.: Quasi-Likelihood and Its Application: A General Approach to Optimal Parameter Estimation. Springer, New York (1997)"},{"issue":"5","key":"80_CR17","doi-asserted-by":"publisher","first-page":"1610","DOI":"10.1109\/TSP.2005.845428","volume":"53","author":"ST Smith","year":"2005","unstructured":"Smith, S.T.: Covariance, subspace, and intrinsic Cram\u00e9r-Rao bounds. IEEE Trans. Signal Process. 53(5), 1610\u20131630 (2005)","journal-title":"IEEE Trans. Signal Process."}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-68445-1_80","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T18:04:46Z","timestamp":1750961086000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-68445-1_80"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319684444","9783319684451"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-68445-1_80","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"24 October 2017","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":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7 November 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9 November 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"3","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gsi2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/gsi2017.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}