• DocumentCode
    2920435
  • Title

    Information theory for angular data

  • Author

    Harremoes, Peter

  • Author_Institution
    Centrum Wiskunde & Inf. (CWI), Amsterdam, Netherlands
  • fYear
    2010
  • fDate
    6-8 Jan. 2010
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    In this paper we study some aspect of information theory for data with values on a circle or on a sphere. We develop rate distortion theory with squared Euclidian distance as distortion function. Various inequalities are proved including a new Pinsker type inequality. A rate distortion test of uniformity is developed. Pointwise convergence of a sequence of information projections is conjectured and some evidence is provided.
  • Keywords
    convergence; rate distortion theory; Pinsker type inequality; angular data; distortion function; information projections; information theory; pointwise convergence; rate distortion theory; squared Euclidian distance; Convergence; Entropy; Gaussian distribution; Harmonic analysis; Information theory; Rate distortion theory; Rate-distortion; Statistical analysis; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ITW 2010, Cairo), 2010 IEEE Information Theory Workshop on
  • Conference_Location
    Cairo
  • Print_ISBN
    978-1-4244-6372-5
  • Type

    conf

  • DOI
    10.1109/ITWKSPS.2010.5503157
  • Filename
    5503157
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2920435