ROC Curve and AUC: Decode Model Ranking in 4 Steps
The ROC curve plots true positive rate vs false positive rate across all thresholds; AUC summarises it as one number. Learn how to read them, what a good AUC is, and ROC-AUC vs PR-AUC.
The ROC curve plots true positive rate vs false positive rate across all thresholds; AUC summarises it as one number. Learn how to read them, what a good AUC is, and ROC-AUC vs PR-AUC.
The F1 score is the harmonic mean of precision and recall: F1 = 2·(P·R)/(P+R). Learn why it uses a harmonic mean, when to use it, F-beta, and macro vs micro vs weighted F1.
Precision is TP/(TP+FP) and recall is TP/(TP+FN). Learn the difference, the precision–recall trade-off, and which to prioritise for imbalanced problems like fraud, disease and spam.
A confusion matrix compares predicted vs actual labels across four cells — TP, FP, TN, FN — and every classification metric (accuracy, precision, recall, F1) is derived from them.
Master Multiplying Vectors: 5 Essential Methods You Need to Know. Scalar, dot, cross, component-wise, and outer products with worked examples. Understand magnitude connections.
Master Unit Vectors: 7 Key Concepts for Machine Learning with clear explanations of normalization, cosine similarity, gradient descent direction, and orthonormal bases.
2 × 2 3 × 3 Find eigenvalues Load example Clear — 📋 Copy results Enter a matrix and press
Enter your numbers (comma, space or new-line separated) 4, 8, 15, 16, 16, 23, 42, 8, 16, 4 Calculate Load
Find the factors of Find factors — Prime factorization— Number of factors— Sum of factors— Factor pairs— Is it prime?—
Find the factors of Find factors — Prime factorization— Number of factors— Sum of factors— Factor pairs— Is it prime?—