Position Independent Word Error Rate (PER) Measure

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A Position Independent Word Error Rate (PER) Measure is a Performance Metric that compares the words in the two sentences without taking the word order into account.



References

2007

$\mathrm{PER}=\displaystyle \dfrac{1}{N_{\text {ref }}^{*}} \sum_{k=1}^{K} \min _{r} d_{\mathrm{PER}}\left(r e f_{k, r}, h y p_{k}\right)$

(1)

$d_{\mathrm{PER}}\left(ref_{k, r}, hyp_{k}\right) = \displaystyle \dfrac{1}{2}\left(\left|N_{r e f_{k, r}}-N_{h y p_{k}}\right|+\sum_{e}\left|n\left(e, r e f_{k, r}\right)-n\left(e, hyp_{k}\right)\right|\right)$