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Definition
The Geometric Mean Average Precision (GMAP) is the geometric mean of the average precision values for an information retrieval system over a set of n query topics. GMAP is expressed as follows (from [1]):
where AP represents the Average Precision value for a given topic from the evaluation set of n topics. Please refer to the entry on Average Precision for the complete definition of AP. An alternate calculation method expresses GMAP as an arithmetic mean of logs (also from [1]):
Key Points
The Geometric Mean Average Precision evaluation metric was first introduced in the Robust track at the 2004 NIST Text Retrieval Conference (TREC). A stated goal of the robust track was to examine and evaluate information retrieval systems with a view towards achieving consistently good performance over all query topics in the...
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Recommended Reading
National Institute of Standards and Technology. TREC-2004 common evaluation measures.
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Beitzel, S.M., Jensen, E.C., Frieder, O. (2009). GMAP. In: LIU, L., ÖZSU, M.T. (eds) Encyclopedia of Database Systems. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-39940-9_493
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DOI: https://doi.org/10.1007/978-0-387-39940-9_493
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