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文章基本信息

  • 标题:A Visually Adaptive Bayesian Model In Wavelet Regression
  • 本地全文:下载
  • 作者:Wu, Dongfeng
  • 期刊名称:Journal of Modern Applied Statistical Methods
  • 出版年度:2004
  • 卷号:3
  • 期号:1
  • 页码:20
  • 出版社:Wayne State University
  • 摘要:The implementation of a Bayesian approach to wavelet regression that corresponds to the human visual system is examined. Most existing research in this area assumes non-informative priors, that is, a prior with mean zero. A new way is offered to implement prior information that mimics a visual inspection of noisy data, to obtain a first impression about the shape of the function that results in a prior with non-zero mean. This visually adaptive Bayesian (VAB) prior has a simple structure, intuitive interpretation, and is easy to implement. Skorohod topology is suggested as a more appropriate measure in signal recovering than the commonly used mean-squared error.
  • 关键词:Wavelet regression; wavelet shrinkage; optimal; Skorohod topology; uniform distance; meansquared error
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