Title :
A rate-distortion theory for permutation spaces
Author :
Da Wang ; Mazumdar, Arya ; Wornell, Gregory W.
Author_Institution :
EECS Dept., MIT, Cambridge, MA, USA
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;
Conference_Titel :
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location :
Istanbul
DOI :
10.1109/ISIT.2013.6620689
