• DocumentCode
    640334
  • Title

    A rate-distortion theory for permutation spaces

  • Author

    Da Wang ; Mazumdar, Arya ; Wornell, Gregory W.

  • Author_Institution
    EECS Dept., MIT, Cambridge, MA, USA
  • fYear
    2013
  • fDate
    7-12 July 2013
  • Firstpage
    2562
  • Lastpage
    2566
  • Abstract
    We investigate the lossy compression of the permutation space by analyzing the trade-off between the size of a source code and the distortion with respect to either Kendall tau distance or ℓ1 distance of the inversion vectors. For both distortion measures, we characterize the rate-distortion functions and provide explicit code designs that achieve them. Finally, we provide bounds on the higher order terms in the codebook size when the distortion levels lead to degenerate code rates (0 or 1).
  • Keywords
    rate distortion theory; source coding; Kendall tau distance; code rate generation; codebook size; distortion levels; distortion measures; explicit code designs; inversion vectors; lossy compression; permutation spaces; rate-distortion functions; rate-distortion theory; source code size; Chebyshev approximation; Manganese; Rate-distortion; Sorting; Tin; Upper bound; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
  • Conference_Location
    Istanbul
  • ISSN
    2157-8095
  • Type

    conf

  • DOI
    10.1109/ISIT.2013.6620689
  • Filename
    6620689
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=640334