The Effect of Correlation and Performances of Base-Experts on Score Fusion

The Effect of Correlation and Performances of Base-Experts on Score Fusion
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基础专家的相关性和表现对分数融合的影响

DOI:
10.1109/tsmc.2013.2256128
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发表时间:
2014-04
期刊:
IEEE Transactions on Systems, Man, and Cybernetics: Systems
影响因子:
--
通讯作者:
Ching Y. Suen
Ching Y. Suen
中科院分区:
其他
文献类型:
--
作者:
Yishu Liu;Lihua Yang;Ching Y. Suen

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在生物特征认证领域,进行分数融合以提高认证精度是一个有前景的趋势。许多实证研究表明了分数融合的有效性;然而,其他一些研究人员断言,融合并不总是有益的。尽管进行了大量的实证工作,但据我们所知,致力于融合理论分析的研究只能在 Poh 和 Bengio 于 2005 年发表的论文中找到。不幸的是,我们发现作为该参考文献的理论基础的方差减少-等错误率(VR-EER)模型是不正确的,并且得出的结论是有争议的。此外,我们发现其他几项实证研究的结论也有争议。本文利用费马定理以及F比与EER之间的联系,对基础专家的相关性和性能如何影响融合进行了系统的理论研究,给出了VR-EER模型和上述结论错误的根本原因。与这些现有结论相反,我们证明,如果根据我们提出的标准选择融合权重,则组合系统肯定会优于所有基础专家,无论基础专家的相关性、性能或方差如何。进行实验来验证我们的结论并为现有结论构造反例。
In the field of biometric authentication, it is a promising trend to perform score fusion to improve authentication accuracy. Many empirical studies have shown the effectiveness of score fusion; however, some other researchers assert that fusion is not always beneficial. Despite considerable empirical efforts, to the best of our knowledge, the research devoted to the theoretical analysis of fusion can be found only in the paper by Poh and Bengio published in 2005. Unfortunately, we find that the variance reduction-equal error rate (VR-EER) model, which is the theoretical basis of this reference, is incorrect and the resulting conclusions are arguable. Besides, we find that the conclusions from several other empirical studies are arguable too. In this paper, using Fermat's theorem and the connection between F-ratio and EER, we conduct a systematic theoretical study on how correlation and performances of base-experts affect fusion, giving the underlying reason why VR-EER model and the above conclusions are wrong. Contrary to these existing conclusions, we prove that provided fusion weights are selected according to our proposed criterion, the combined system will definitely be superior to all the base-experts, regardless of correlation, performances, or variances of base-experts. Experiments are carried out to validate the conclusions of ours and construct counter-examples for the existing conclusions.
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