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文章基本信息

  • 标题:Locally Adaptive Tree-Based Thresholding Using the treethresh Package in R
  • 作者:Ludger Evers ; Tim Heaton
  • 期刊名称:Journal of Statistical Software
  • 印刷版ISSN:1548-7660
  • 电子版ISSN:1548-7660
  • 出版年度:2017
  • 卷号:78
  • 期号:1
  • 页码:1-22
  • DOI:10.18637/jss.v078.c02
  • 语种:English
  • 出版社:University of California, Los Angeles
  • 摘要:This paper introduces the treethresh package offering accurate estimation, via thresholding, of potentially sparse heterogeneous signals and the denoising of images using wavelets. It gives considerably improved performance over other estimation methods if the underlying signal or image is not homogeneous throughout but instead has distinct regions with differing sparsity or strength characteristics. It aims to identify these different regions and perform separate estimation in each accordingly. The base algorithm offers code which can be applied directly to any one-dimensional potentially sparse sequence observed subject to noise. Also included are functions which allow two-dimensional images to be denoised following transformation to the wavelet domain. In addition to reconstructing the underlying signal or image, the package provides information on the believed partitioning of the signal or image into its differing regions.
  • 其他关键词:CARTs;wavelets;thresholding;sparsity;denoising;heterogeneous;partition
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