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Table 4 Metrics for HR measurements

From: Camera-based heart rate estimation for hospitalized newborns in the presence of motion artifacts

Metric

Definition

Detail description

MAE

Mean bbsolute Error

\(\frac{1}{N}\sum \limits _{i = 1}^N {|{H_{e}}(i) - {H_{r}}(i)|} \)

MRE

Mean relative Error

\(\frac{1}{N}\sum \limits _{i = 1}^N {|\frac{{{H_{e}}(i) - {H_{r}}(i)}}{{{H_{r}}(i)}}|} \times 100\%\)

RMSE

Root mean squared error

\(\sqrt{\sum \limits _{i = 1}^N {\frac{{{{({H_{e}}(i) - {H_{r}}(i))}^2}}}{{N}}} }\)

SD

Standard Deviation

\( \sqrt{\frac{1}{N}\sum \limits _{i = 1}^N {({H_{e}}(i) - {H_{r}}(i) - \mu )}^{2} } \)

\(\mu =\frac{1}{N}\sum \limits _{i = 1}^N ({H_{e}}(i) - {H_{r}}(i))\)