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K-Nearest Neighbors

K‑Nearest Neighbors (KNN) is a simple, intuitive algorithm: classify a new point based on the majority class of its k nearest neighbors in the training data.

KNN is a lazy learner – it stores all training data and makes predictions on the fly.

How It Works

1. Choose k (number of neighbors).
2. Calculate distance (usually Euclidean) from new point to all training points.
3. Find k closest points.
4. Assign the majority class among them.

from sklearn.neighbors import KNeighborsClassifier

knn = KNeighborsClassifier(n_neighbors=5)
knn.fit(X_train, y_train)
y_pred = knn.predict(X_test)

Choosing k

  • Small k: sensitive to noise, may overfit.
  • Large k: smoother decision boundary, may underfit.
  • Typical practice: try odd numbers (3,5,7) and pick best via cross‑validation.

Important: Scale Features!

KNN uses distance, so features with large scales dominate. Always apply standardization or normalization before using KNN.

Pros and Cons

✅ Simple, no training phase, works for multi‑class. ❌ Slow for large datasets, requires scaled data, memory intensive.


Two Minute Drill
  • KNN classifies by majority vote of k nearest neighbors.
  • Distance metric matters (Euclidean default).
  • Scale features before using KNN.
  • Choose k by cross‑validation.

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