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  • 标题:Early stopping for statistical inverse problems via truncated SVD estimation
  • 本地全文:下载
  • 作者:Gilles Blanchard ; Marc Hoffmann ; Markus Reiß
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2018
  • 卷号:12
  • 期号:2
  • 页码:3204-3231
  • DOI:10.1214/18-EJS1482
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We consider truncated SVD (or spectral cut-off, projection) estimators for a prototypical statistical inverse problem in dimension $D$. Since calculating the singular value decomposition (SVD) only for the largest singular values is much less costly than the full SVD, our aim is to select a data-driven truncation level $\widehat{m}\in \{1,\ldots ,D\}$ only based on the knowledge of the first $\widehat{m}$ singular values and vectors.
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