A rate-distortion theory for permutation spaces

Author(s)
Wang, Da; Mazumdar, Arya; Wornell, Gregory W.
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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 ℓ[subscript 1] 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).
Date issued
2013-07
URI
http://hdl.handle.net/1721.1/91130
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Proceedings of the 2013 IEEE International Symposium on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Wang, Da, Arya Mazumdar, and Gregory W. Wornell. “A Rate-Distortion Theory for Permutation Spaces.” 2013 IEEE International Symposium on Information Theory (July 2013).
Version: Author's final manuscript
ISBN
978-1-4799-0446-4
ISSN
2157-8095
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