{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T04:39:57Z","timestamp":1773376797012,"version":"3.50.1"},"reference-count":50,"publisher":"IEEE","license":[{"start":{"date-parts":[[2024,7,7]],"date-time":"2024-07-07T00:00:00Z","timestamp":1720310400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,7,7]],"date-time":"2024-07-07T00:00:00Z","timestamp":1720310400000},"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":[[2024,7,7]]},"DOI":"10.1109\/isit57864.2024.10619657","type":"proceedings-article","created":{"date-parts":[[2024,8,19]],"date-time":"2024-08-19T13:25:01Z","timestamp":1724073901000},"page":"2532-2537","source":"Crossref","is-referenced-by-count":3,"title":["Computing Augustin Information via Hybrid Geodesically Convex Optimization"],"prefix":"10.1109","author":[{"given":"Guan-Ren","family":"Wang","sequence":"first","affiliation":[{"name":"Graduate Institute of Networking and Multimedia, National Taiwan University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chung-En","family":"Tsai","sequence":"additional","affiliation":[{"name":"National Taiwan University,Department of Computer Science and Information Engineering"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hao-Chung","family":"Cheng","sequence":"additional","affiliation":[{"name":"Institute of Communication Enaineering, National Taiwan University,Department of Electrical Engineering and Graduate"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yen-Huan","family":"Li","sequence":"additional","affiliation":[{"name":"Graduate Institute of Networking and Multimedia, National Taiwan University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00534118"},{"key":"ref2","volume-title":"Noisy channels","author":"Augustin","year":"1978"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/18.370121"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/ITA.2015.7308959"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1134\/S003294601904001X"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-022-04319-8"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.3390\/e23020199"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ITW48936.2021.9611513"},{"key":"ref9","first-page":"547","article-title":"On measures of entropy and information","volume-title":"Proc. 4th Berkeley Symp. Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics","volume":"4","author":"R\u00e9nyi","year":"1961"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2320500"},{"issue":"4","key":"ref11","first-page":"37","article-title":"Bounds for the exponent of the probability of error for a semicontinuous memoryless channel","volume":"4","author":"Haroutunian","year":"1968","journal-title":"Problemy Peredachi Informatsii"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1974.1055254"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511921889"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.3906\/mat-1912-106"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2726555"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2019.2891347"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1973.1055007"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(75)90120-5"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1979.1056003"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-017-2928-4"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.3041205"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.3390\/e19080389"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3182748"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2019.2937099"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/Allerton58177.2023.10313465"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1561\/2200000050"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-91578-4"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-39568-1"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT50566.2022.9834648"},{"key":"ref30","first-page":"1617","article-title":"First-order methods for geodesically convex optimization","volume-title":"Conf. Learning Theory","author":"Zhang","year":"2016"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1017\/9781009166164"},{"key":"ref32","article-title":"Geodesic convex optimization: Differentiation on man-ifolds, geodesics, and convexity","author":"Vishnoi","year":"2018","journal-title":"arXiv"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1515\/9781400830244"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/BF00940467"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-8390-9"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2218241"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2267740"},{"key":"ref38","article-title":"Matrix manifold optimization for Gaussian mixturxses","volume":"28","author":"Hosseini","year":"2015","journal-title":"Adv. Neural Information Processing Systems"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-019-01381-4"},{"key":"ref40","first-page":"1276","article-title":"Gradient descent algorithms for Bures-Wasserstein barycenters","volume-title":"Conf. Learning Theory","author":"Chewi","year":"2020"},{"key":"ref41","article-title":"Online and stochastic optimization beyond Lipschitz continuity: A Riemannian approach","volume-title":"Int. Conf. Learning Representations, 2020","author":"Antonakopoulos"},{"key":"ref42","article-title":"Computing au-gustin information via hybrid geodesically convex optimization","author":"Wang","year":"2024","journal-title":"arXiv preprint"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-018-1428-9"},{"key":"ref44","first-page":"36790","article-title":"Global optimality for Euclidean CCCP under Riemannian convexity","volume-title":"Int. Conf. Machine Learning","author":"Weber","year":"2023"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-91755-9"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.exmath.2018.01.002"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-005-3222-z"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-12-814725-2.00010-8"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1956.tb03809.x"},{"key":"ref50","first-page":"849","article-title":"A near-optimal algorithm for approximating the John Ellipsoid","volume-title":"Conf. Learning Theory","author":"Cohen","year":"2019"}],"event":{"name":"2024 IEEE International Symposium on Information Theory (ISIT)","location":"Athens, Greece","start":{"date-parts":[[2024,7,7]]},"end":{"date-parts":[[2024,7,12]]}},"container-title":["2024 IEEE International Symposium on Information Theory (ISIT)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/10619013\/10619074\/10619657.pdf?arnumber=10619657","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T20:28:23Z","timestamp":1773347303000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10619657\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,7]]},"references-count":50,"URL":"https:\/\/doi.org\/10.1109\/isit57864.2024.10619657","relation":{},"subject":[],"published":{"date-parts":[[2024,7,7]]}}}