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## Standard
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- <img src =" https://latex.codecogs.com/gif.latex?\mathrm{Accuracy} =\frac{\mathrm{TP} &plus ; \mathrm{ TN}}{\mathrm{P} &plus ; \mathrm{ N}} " title =" \mathrm{Accuracy} =\frac{\mathrm{TP}+\mathrm{ TN}}{\mathrm{P}+\mathrm{ N}} " />
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+ <img src =" https://latex.codecogs.com/gif.latex?\mathrm{Accuracy=\frac{TP &plus ; TN}{P &plus ; N}} " title =" \mathrm{Accuracy=\frac{TP+ TN}{P+ N}} " />
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- <img src =" https://latex.codecogs.com/png .latex?Accuracy=\frac{TP & plus ; TN}{P & plus ; N} " title =" Accuracy=\frac{TP+TN}{P+N }" />
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+ <img src =" https://latex.codecogs.com/gif .latex?\mathrm{ErrorRate=1-Accuracy} " title =" \mathrm{ErrorRate=1-Accuracy }" />
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- <img src =" https://latex.codecogs.com/png .latex?ErrorRate=1-Accuracy " title =" ErrorRate=1-Accuracy " />
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+ <img src =" https://latex.codecogs.com/gif .latex?\mathrm{Precision=\frac{TP}{TP & plus ; FP}} " title =" \mathrm{Precision=\frac{TP}{TP+FP}} " />
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- <img src =" https://latex.codecogs.com/png .latex?Precision =\frac{TP}{TP&plus ; FP} " title =" Precision =\frac{TP}{TP+FP }" />
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+ <img src =" https://latex.codecogs.com/gif .latex?\mathrm{Recall =\frac{TP}{TP&plus ; FN}} " title =" \mathrm{Recall =\frac{TP}{TP+FN} }" />
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- <img src =" https://latex.codecogs.com/png.latex?Recall=\frac{TP}{TP&plus ; FN} " title =" Recall=\frac{TP}{TP+FN} " />
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- <img src =" https://latex.codecogs.com/png.latex?F1=\frac{2×TP}{n\_samples&plus ; TP-TN} " title =" F1=\frac{2×TP}{n\_samples+TP-TN} " />
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+ <img src =" https://latex.codecogs.com/gif.latex?\mathrm{F1=\frac{2×TP}{n\_samples&plus ; TP-TN}} " title =" \mathrm{F1=\frac{2×TP}{n\_samples+TP-TN}} " />
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Confusion matrix
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@@ -31,13 +29,13 @@ Confusion matrix
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The vertical axis of the ROC(Receiver Operating Characteristic) curve is TPR(True Positive Rate) and the horizontal axis is FPR(False Positive Rate).
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- <img src =" https://latex.codecogs.com/png .latex?TPR=\frac{TP}{TP&plus ; FN} " title =" TPR=\frac{TP}{TP+FN} " />
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+ <img src =" https://latex.codecogs.com/gif .latex?\mathrm{ TPR=\frac{TP}{TP&plus ; FN}} " title =" \mathrm{ TPR=\frac{TP}{TP+FN} }" />
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- <img src =" https://latex.codecogs.com/png.latex?FPR=\frac{FP}{TN&plus ; FP} " title =" FPR=\frac{FP}{TN+FP} " />
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+ <img src =" https://latex.codecogs.com/png.latex?\mathrm{ FPR=\frac{FP}{TN&plus ; FP} } " title =" FPR=\frac{FP}{TN+FP} " />
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AUC is the area under ROC curve.
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- <img src =" https://latex.codecogs.com/png.latex?AUC=\frac{1}{2}\sum_{i=1}^{m-1}(x_{i&plus ; 1}-x_{i})*(y_{i}&plus ; y_{i&plus ; 1}) " title =" AUC=\frac{1}{2}\sum_{i=1}^{m-1}(x_{i+1}-x_{i})*(y_{i}+y_{i+1}) " />
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+ <img src =" https://latex.codecogs.com/png.latex?\mathrm{ AUC} =\frac{1}{2}\sum_{i=1}^{m-1}(x_{i&plus ; 1}-x_{i})*(y_{i}&plus ; y_{i&plus ; 1}) " title =" AUC=\frac{1}{2}\sum_{i=1}^{m-1}(x_{i+1}-x_{i})*(y_{i}+y_{i+1}) " />
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![ ROC] ( https://github.com/vba34520/Classification-Performance-Standard/blob/master/picture/ROC.png )
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