{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T11:23:59Z","timestamp":1762341839745,"version":"3.37.3"},"reference-count":34,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"9","license":[{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"Security and Quantum Information Group"},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/EEA\/50008\/2020"],"award-info":[{"award-number":["UID\/EEA\/50008\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"FCT","doi-asserted-by":"publisher","award":["PREDICT-PTDC\/CCI-CIF\/29877\/2017"],"award-info":[{"award-number":["PREDICT-PTDC\/CCI-CIF\/29877\/2017"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"name":"MATISSE-FCT","award":["DSAIPA\/DS\/0026\/2019"],"award-info":[{"award-number":["DSAIPA\/DS\/0026\/2019"]}]},{"name":"SmartGlauco-FCT","award":["PTDC\/CTM-REF\/2679\/2020"],"award-info":[{"award-number":["PTDC\/CTM-REF\/2679\/2020"]}]},{"name":"MONET-FCT","award":["PTDC\/CCIBIO\/4180\/2020"],"award-info":[{"award-number":["PTDC\/CCIBIO\/4180\/2020"]}]},{"DOI":"10.13039\/501100020314","name":"European Union (EU)\/FCT\/Program European Resaerch Agency- Network (ERA-NET) Co-Fund QuantERA II Project","doi-asserted-by":"publisher","award":["QuantERA\/0001\/202"],"award-info":[{"award-number":["QuantERA\/0001\/202"]}],"id":[{"id":"10.13039\/501100020314","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2022,9]]},"DOI":"10.1109\/tit.2022.3176470","type":"journal-article","created":{"date-parts":[[2022,5,18]],"date-time":"2022-05-18T19:36:34Z","timestamp":1652902594000},"page":"5619-5636","source":"Crossref","is-referenced-by-count":2,"title":["Model Complexity in Statistical Manifolds: The Role of Curvature"],"prefix":"10.1109","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7214-6506","authenticated-orcid":false,"given":"Bruno","family":"Mera","sequence":"first","affiliation":[{"name":"Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Sendai, Japan"}]},{"given":"Paulo","family":"Mateus","sequence":"additional","affiliation":[{"name":"Instituto de Telecomunica&#x00E7;&#x00F5;es, Lisboa, Portugal"}]},{"given":"Alexandra M.","family":"Carvalho","sequence":"additional","affiliation":[{"name":"Instituto de Telecomunica&#x00E7;&#x00F5;es, Lisboa, Portugal"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/18.481776"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2018.8437862"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1090\/mmono\/191"},{"key":"ref4","volume-title":"Differential-Geometrical Methods in Statistics","volume":"28","author":"Amari","year":"2012"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1946.0056"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0378-3758(94)90153-8"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-58088-8"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1090\/mmono\/053"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6875392"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2019.8849350"},{"key":"ref11","first-page":"709","article-title":"Semi-supervised learning: The case when unlabeled data is equally useful","volume-title":"Proc. Conf. Uncertainty Artif. Intell.","author":"Zhu"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jeconom.2006.05.003"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1214\/12-BA701B"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/1114.003.0006"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/18.86996"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/18.605594"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-4000-9_44"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1063\/1.3128097"},{"volume-title":"Gravitation","year":"1973","author":"Misner","key":"ref19"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-45109-7"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1017\/cbo9780511754012"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/18.54897"},{"issue":"1","key":"ref23","first-page":"25","article-title":"Differential properties of spaces of symmetric real matrices","volume":"77","author":"Dolcetti","year":"2019","journal-title":"Rend. Semin. Mat. Univ. Politec. Torino"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5128-6"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2653803"},{"key":"ref26","first-page":"598","article-title":"Automatic choice of dimensionality for PCA","volume-title":"Proc. Adv. Neural Inf. Process. Syst.","volume":"13","author":"Minka"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.2307\/2291091"},{"article-title":"Comparative study of dimensional reduction methods in PCA","year":"2021","author":"Giorgio","key":"ref28"},{"key":"ref29","volume-title":"Foundations of Differential Geometry","volume":"2","author":"Kobayashi","year":"1963"},{"volume-title":"A Comprehensive Introduction to Differential Geometry","year":"1970","author":"Spivak","key":"ref30"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/107"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1090\/mmono\/201"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9982-5_1"},{"key":"ref34","volume-title":"Riemannian Manifolds: An Introduction to Curvature","volume":"176","author":"Lee","year":"2006"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/9861208\/09777964.pdf?arnumber=9777964","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,22]],"date-time":"2024-01-22T23:04:07Z","timestamp":1705964647000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9777964\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9]]},"references-count":34,"journal-issue":{"issue":"9"},"URL":"https:\/\/doi.org\/10.1109\/tit.2022.3176470","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2022,9]]}}}