Farnoud, Farzad and Schwartz, Moshe and Bruck, Jehoshua (2014) Bounds for Permutation Rate-Distortion. In: 2014 IEEE International Symposium on Information Theory (ISIT). IEEE , Piscataway, NJ, pp. 6-10. ISBN 978-1-4799-5186-4. https://resolver.caltech.edu/CaltechAUTHORS:20150227-075642886
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Abstract
We study the rate-distortion relationship in the set of permutations endowed with the Kendall t-metric and the Chebyshev metric. Our study is motivated by the application of permutation rate-distortion to the average-case and worst-case distortion analysis of algorithms for ranking with incomplete information and approximate sorting algorithms. For the Kendall τ-metric we provide bounds for small, medium, and large distortion regimes, while for the Chebyshev metric we present bounds that are valid for all distortions and are especially accurate for small distortions. In addition, for the Chebyshev metric, we provide a construction for covering codes.
| Item Type: | Book Section | ||||||||||||
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| Additional Information: | © 2014 IEEE. This work was supported in part by an NSF grant CIF-1218005, and a U.S.-Israel Binational Science Foundation (BSF) grant 2010075. | ||||||||||||
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| Record Number: | CaltechAUTHORS:20150227-075642886 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150227-075642886 | ||||||||||||
| Official Citation: | Farnoud, F.; Schwartz, M.; Bruck, J., "Bounds for permutation rate-distortion," Information Theory (ISIT), 2014 IEEE International Symposium on , vol., no., pp.6,10, June 29 2014-July 4 2014 doi: 10.1109/ISIT.2014.6874784 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6874784&isnumber=6874773 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 55312 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 04 Mar 2015 00:07 | ||||||||||||
| Last Modified: | 03 Oct 2019 08:04 |
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