文章基本信息

标题：Tight minimax rates for manifold estimation under Hausdorff loss
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作者：Arlene K. H. Kim ; Harrison H. Zhou
期刊名称：Electronic Journal of Statistics
印刷版ISSN：1935-7524
出版年度：2015
卷号：9
期号：1
页码：1562-1582
DOI：10.1214/15-EJS1039
语种：English
出版社：Institute of Mathematical Statistics
摘要：This paper deals with minimax rates of convergence for manifold estimation. A new lower bound is obtained by a novel construction of two sets of manifolds and an application of convex hull testing method of Le Cam (1973). The minimax lower bound matches the upper bound up to a constant factor considered by Genovese et al. (2012b).
关键词：minimax lower bound;manifold estimation;con vex hull testing.