Rate-Distortion for Ranking with Incomplete Information.

Farzad Farnoud, Moshe Schwartz, Jehoshua Bruck

Research output: Working paper/PreprintPreprint

Abstract

We study the rate-distortion relationship in the set of permutations endowed with the Kendall τ-metric and the Chebyshev metric. Our study is motivated by the application of permutation rate-distortion to the average-case and worst-case 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.
Original languageEnglish
Volumeabs/1401.3093
StatePublished - 2014

Publication series

NamearxiV cs.IT

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