A mathematical investigation on retrieval performance evaluation measures of information retrieval algorithm

Song Jun-feng, Zhang Wei-ming, Xiao Wei-dong
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Abstract

Retrieval performance evaluation measures of information retrieval algorithm are the foundation of evaluating and improving information retrieval algorithm. In this paper precision and recall are analyzed mathematically, and a theorem is proved: a good IR algorithm will make precision and recall to be maximal at the same time in an ideal vector space, then a new general evaluation measure based on this theorem is proposed to evaluate information retrieval algorithm.
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信息检索算法检索性能评价指标的数学研究
信息检索算法的检索性能评价指标是评价和改进信息检索算法的基础。本文对信息检索算法的查准率和查全率进行了数学分析,并证明了一个定理:一个好的IR算法在理想向量空间中会使查准率和查全率同时达到最大,然后基于该定理提出了一个新的通用评价测度来评价信息检索算法。
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