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The Cartographer
A Weighted Generalization of the Graham-Diaconis Inequality for Ranked List Similarity
April 15, 2018 Β· Declared Dead Β· π arXiv.org
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Authors
Ali Dasdan
arXiv ID
1804.05420
Category
cs.DS: Data Structures & Algorithms
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
Abstract
The Graham-Diaconis inequality shows the equivalence between two well-known methods of measuring the similarity of two given ranked lists of items: Spearman's footrule and Kendall's tau. The original inequality assumes unweighted items in input lists. In this paper, we first define versions of these methods for weighted items. We then prove a generalization of the inequality for the weighted versions.
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