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A geometric interpretation of r-precision and its correlation with average precision

Published: 15 August 2005 Publication History

Abstract

We consider two of the most commonly cited measures of retrieval performance: average precision and R-precision. It is well known that average precision and R-precision are highly correlated and similarly robust measures of performance, though the reasons for this are not entirely clear. In this paper, we give a geometric argument which shows that under a very reasonable set of assumptions, average precision and R-precision both approximate the area under the precision-recall curve, thus explaining their high correlation. We further demonstrate through the use of TREC data that the similarity or difference between average precision and R-precision is largely governed by the adherence to, or violation of, these reasonable assumptions.

References

[1]
C. Buckley and E. M. Voorhees. Evaluating evaluation measure stability. In Proceedings of the 23rd Annual International ACM SIGIR Conference on Research and Development in Information Retrieval, pages 33--40. ACM Press, 2000.
[2]
J. Tague-Sutcliffe and J. Blustein. A statistical analysis of the TREC-3 data. In Proceedings of the Third Text Retrieval Conference (TREC-3), pages 385--398, 1995.
[3]
E. M. Voorhees and D. Harman. Overview of the seventh text retrieval conference (TREC-7). In Proceedings of the Seventh Text Retrieval Conference (TREC-7), pages 1--23, 1999.

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    cover image ACM Conferences
    SIGIR '05: Proceedings of the 28th annual international ACM SIGIR conference on Research and development in information retrieval
    August 2005
    708 pages
    ISBN:1595930345
    DOI:10.1145/1076034
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    New York, NY, United States

    Publication History

    Published: 15 August 2005

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    Author Tags

    1. average precision
    2. precision-recall curve
    3. r-precision

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    Overall Acceptance Rate 792 of 3,983 submissions, 20%

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    • (2024)Performance of Traditional and Dense Vector Information Retrieval Models in Code Search2024 2nd International Conference on Software Engineering and Information Technology (ICoSEIT)10.1109/ICoSEIT60086.2024.10497512(52-57)Online publication date: 28-Feb-2024
    • (2021)Leveraging Semantic Information to Facilitate the Discovery of Underserved PodcastsProceedings of the 30th ACM International Conference on Information & Knowledge Management10.1145/3459637.3481934(3707-3716)Online publication date: 26-Oct-2021
    • (2021)Information retrieval on oncology knowledge base using recursive paraphrase latticeJournal of Biomedical Informatics10.1016/j.jbi.2021.103705116:COnline publication date: 1-Apr-2021
    • (2019)Using Collection Shards to Study Retrieval Performance Effect SizesACM Transactions on Information Systems10.1145/331036437:3(1-40)Online publication date: 19-Mar-2019
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    • (2015)Estimating Semantic Relatedness in Source CodeACM Transactions on Software Engineering and Methodology10.1145/282425125:1(1-35)Online publication date: 2-Dec-2015
    • (2015)On the role of semantics in automated requirements tracingRequirements Engineering10.1007/s00766-013-0199-y20:3(281-300)Online publication date: 1-Sep-2015
    • (2014)Area under Precision-Recall Curves for Weighted and Unweighted DataPLoS ONE10.1371/journal.pone.00922099:3(e92209)Online publication date: 20-Mar-2014
    • (2014)Supporting requirements to code traceability through refactoringRequirements Engineering10.1007/s00766-013-0197-019:3(309-329)Online publication date: 1-Sep-2014
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