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Table 2 Prediction performance metrics for two classifiers: RFRI and single-layer FNN

From: Algorithms of the Möbius function by random forests and neural networks

Metric

Formula

Explanation

RFRI

FNN

Accuracy

\(\frac{\text {TP+TN}}{\text {TP+TN+FP+FN}}\)

Percentage of correct classifications

0.9493

0.7871

TPR/Sensitivity/Recall

\(\frac{\text {TP}}{\text {TP+FN}}\)

Rate of correctly classified positives

0.5865

0.9477

FPR

\(\frac{\text {FP}}{\text {FP+TN}}\)

Rate of incorrectly classified positives

0.0229

0.2248

Precision

\(\frac{\text {TP}}{\text {TP+FP}}\)

Fraction of positive predictions thatwere actually positives

0.6626

0.2384

\(F_1\)-Score

\(\frac{2\cdot \text {Precision} \cdot \text {Recall}}{\text {Precision} + \text {Recall}}\)

Harmonic mean of the precision and recall

0.6223

0.3809