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| On the Equivalence of Weighted Metrics for Distance Measures between Two Rankings |
| Jianwen Chen, Yiping Li, Ling Feng |
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Abstract Weighted metrics for measuring the distance between two rankings,
which extend the classic metrics to evaluate more highly the
position changes at the top places than the bottom places, have many
applications in the information retrieval field and database field.
In this paper, we establish the equivalence relationship of the
weighted intersection metric and the weighted Spearman's footrule
metric. We further improve one of the constants in the weighted
Diaconis-Graham Inequality to match that in the classic
Diaconis-Graham Inequality.
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| DOI:10.12733/jics20104417 |
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