• DocumentCode
    71360
  • Title

    Penalty Functions Derived From Monotone Mappings

  • Author

    Bayram, Ilker

  • Author_Institution
    Dept. of Electron. & Commun. Eng., Istanbul Tech. Univ., Istanbul, Turkey
  • Volume
    22
  • Issue
    3
  • fYear
    2015
  • fDate
    Mar-15
  • Firstpage
    265
  • Lastpage
    269
  • Abstract
    We consider the problem of constructing a penalty function associated with a given monotone function. We provide a construction that allows the monotone function to be discontinuous or bounded. We show that, although the penalty may be non-convex, it is weakly convex. We briefly discuss the implications for iterative solutions of linear inverse problems.
  • Keywords
    signal denoising; hard threshold; iterative solutions; linear inverse problems; monotone denoising operator; monotone mappings; penalty functions; Convex functions; Cost function; Inverse problems; Iterative methods; Noise measurement; Noise reduction; Reconstruction algorithms; Hard threshold; monotone denoising operator; non-convex penalty; weakly convex;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2014.2357681
  • Filename
    6899606
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=71360