{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T09:56:41Z","timestamp":1730195801956,"version":"3.28.0"},"reference-count":23,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018,10]]},"DOI":"10.1109\/allerton.2018.8635825","type":"proceedings-article","created":{"date-parts":[[2019,2,28]],"date-time":"2019-02-28T22:04:31Z","timestamp":1551391471000},"page":"446-453","source":"Crossref","is-referenced-by-count":2,"title":["Parameter Estimation in Gaussian Mixture Models with Malicious Noise, without Balanced Mixing Coefficients"],"prefix":"10.1109","author":[{"given":"Jing","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jakub","family":"Marecek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177703732"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2016.76"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"2683","DOI":"10.1137\/1.9781611975031.171","article-title":"Robustly learning a gaussian: getting optimal error, efficiently","author":"diakonikolas","year":"2018","journal-title":"Proceedings of the 5th Annual ACM-SIAM Symposium on Discrete Algorithms"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2773474"},{"key":"ref14","article-title":"A convex program for mixed linear regression with a recovery guarantee for well-separated data","author":"hand","year":"2016","journal-title":"arXiv preprint arXiv 1612 06067"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2015.2404835"},{"key":"ref16","first-page":"1655","article-title":"Convergence of the em algorithm for gaussian mixtures with unbalanced mixing coefficients","author":"naim","year":"2012","journal-title":"Proceedings of the 29th International Conference on Machine Learning (ICML-12)"},{"key":"ref17","first-page":"49","article-title":"On the generalised distance in statistics","author":"mahalanobis","year":"1936","journal-title":"Proceedings of the National Institute of Sciences of India 1936"},{"key":"ref18","article-title":"Parameter estimation in gaussian mixture models with malicious noise, without balanced mixing coefficients","volume":"abs 1711 8082","author":"xu","year":"2017","journal-title":"CoRR"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1214\/16-AOS1435"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1145\/2746539.2746579","article-title":"Tight bounds for learning a mixture of two gaussians","author":"hardt","year":"2015","journal-title":"Proceedings of the Forty-seventh Annual ACM Symposium on Theory of Computing"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1894.0003"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1080\/00949650802590261"},{"key":"ref5","first-page":"1564","article-title":"Information-theoretic determination of minimax rates of convergence","volume":"27","author":"yang","year":"1999","journal-title":"The Annals of Statistics"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1214\/16-AOS1435"},{"key":"ref7","first-page":"613","article-title":"Alternating minimization for mixed linear regression","volume":"32","author":"yi","year":"2014","journal-title":"Proceedings of the 31st International Conference on Machine Learning"},{"key":"ref2","doi-asserted-by":"crossref","DOI":"10.1002\/0471721182","author":"mclachlan","year":"2000","journal-title":"Finite Mixture Models"},{"journal-title":"Statistical Analysis of Finite Mixture Distributions","year":"1985","author":"titterington","key":"ref1"},{"journal-title":"Chime Clustering of high-dimensional gaussian mixtures with em algorithm and its optimality","year":"2017","author":"cai","key":"ref9"},{"key":"ref20","first-page":"1302","article-title":"Adaptive estimation of a quadratic functional by model selection","author":"laurent","year":"2000","journal-title":"Annals of Statistics"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1002\/nav.3800310310"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1214\/lnms\/1215090065","article-title":"An alternative point of view on lepski’s method","author":"birg\u00e9","year":"2001","journal-title":"Lecture Notes-Monograph Series"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1214\/ECP.v17-2079"}],"event":{"name":"2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","start":{"date-parts":[[2018,10,2]]},"location":"Monticello, IL, USA","end":{"date-parts":[[2018,10,5]]}},"container-title":["2018 56th Annual Allerton Conference on Communication, Control, and Computing (Allerton)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8630872\/8635635\/08635825.pdf?arnumber=8635825","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,23]],"date-time":"2020-08-23T23:04:30Z","timestamp":1598223870000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8635825\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10]]},"references-count":23,"URL":"https:\/\/doi.org\/10.1109\/allerton.2018.8635825","relation":{},"subject":[],"published":{"date-parts":[[2018,10]]}}}