Title :
Information theory for angular data
Author :
Harremoes, Peter
Author_Institution :
Centrum Wiskunde & Inf. (CWI), Amsterdam, Netherlands
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;
Conference_Titel :
Information Theory (ITW 2010, Cairo), 2010 IEEE Information Theory Workshop on
Conference_Location :
Cairo
Print_ISBN :
978-1-4244-6372-5
DOI :
10.1109/ITWKSPS.2010.5503157
