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Table 4 Classification metrics

From: RN-Autoencoder: Reduced Noise Autoencoder for classifying imbalanced cancer genomic data

Metric

Expression

Metric

Expression

Precision

\(\frac{\mathbf{T}\mathbf{P}}{\mathbf{T}\mathbf{P}+\mathbf{F}\mathbf{P}}\)

GM

\(\sqrt{\frac{{\varvec{T}}{\varvec{P}}}{{\varvec{T}}{\varvec{P}}+{\varvec{F}}{\varvec{N}}}\boldsymbol{ }\times \boldsymbol{ }\frac{{\varvec{T}}{\varvec{N}}}{{\varvec{T}}{\varvec{N}}+{\varvec{F}}{\varvec{P}}}}\)

Recall

\(\frac{\mathbf{T}\mathbf{P}}{\mathbf{T}\mathbf{P}+\mathbf{F}\mathbf{N}}\)

MCC

\(\frac{\mathbf{T}\mathbf{P}.\mathbf{T}\mathbf{N}-\mathbf{F}\mathbf{P}.\mathbf{F}\mathbf{N}}{\sqrt{(\mathbf{T}\mathbf{P}+\mathbf{F}\mathbf{P})(\mathbf{T}\mathbf{P}+\mathbf{F}\mathbf{N})(\mathbf{T}\mathbf{N}+\mathbf{F}\mathbf{P})(\mathbf{T}\mathbf{N}+\mathbf{F}\mathbf{N})}}\)

F1

\(\frac{2\mathbf{*}\mathbf{p}\mathbf{r}\mathbf{e}\mathbf{c}\mathbf{i}\mathbf{s}\mathbf{i}\mathbf{o}\mathbf{n}\mathbf{*}\mathbf{R}\mathbf{e}\mathbf{c}\mathbf{a}\mathbf{l}\mathbf{l}}{\mathbf{P}\mathbf{r}\mathbf{e}\mathbf{c}\mathbf{i}\mathbf{s}\mathbf{i}\mathbf{o}\mathbf{n}+\mathbf{R}\mathbf{e}\mathbf{c}\mathbf{a}\mathbf{l}\mathbf{l}}\)

Kappa

\(\frac{\mathbf{P}\mathbf{o}-\mathbf{P}\mathbf{e}}{1-\mathbf{P}\mathbf{e}}\)

Accuracy

\(\frac{{\varvec{T}}{\varvec{P}}+{\varvec{T}}{\varvec{N}}}{{\varvec{T}}{\varvec{P}}+{\varvec{T}}{\varvec{N}}+{\varvec{F}}{\varvec{P}}+{\varvec{F}}{\varvec{N}}}\)