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K-Nearest Neighbors Cheat Sheet

K-Nearest Neighbors Cheat Sheet

A cheat sheet for K-Nearest Neighbors covering classification and regression in scikit-learn, distance metrics, choosing k, and scalability considerations.

1 PageBeginnerMar 18, 2026

Classifier with scikit-learn

Fit a distance-weighted KNN classifier.

python
from sklearn.neighbors import KNeighborsClassifierfrom sklearn.preprocessing import StandardScalerfrom sklearn.pipeline import make_pipelineknn = make_pipeline(    StandardScaler(),    KNeighborsClassifier(n_neighbors=5, weights='distance', metric='minkowski', p=2))knn.fit(X_train, y_train)print('Accuracy:', knn.score(X_test, y_test))

Choosing k

Use cross-validation to select the best neighbor count.

python
from sklearn.model_selection import cross_val_scoreimport numpy as npscores = []for k in range(1, 31, 2):   # odd k avoids ties in binary classification    knn = KNeighborsClassifier(n_neighbors=k)    scores.append(cross_val_score(knn, X_train, y_train, cv=5).mean())best_k = list(range(1, 31, 2))[np.argmax(scores)]

KNN Regression

Predict continuous targets by averaging neighbors.

python
from sklearn.neighbors import KNeighborsRegressorreg = KNeighborsRegressor(n_neighbors=10, weights='distance')reg.fit(X_train, y_train)preds = reg.predict(X_test)   # weighted average of the k nearest neighbors' targets

Key Concepts

Core theory behind KNN.

  • Lazy learning- KNN has no training phase; it stores the dataset and computes distances at prediction time
  • Distance metric- Euclidean (default), Manhattan, or Minkowski distance defines what 'nearest' means
  • n_neighbors (k)- Small k is sensitive to noise (overfitting); large k oversmooths (underfitting)
  • weights='distance'- Weights closer neighbors more heavily than farther ones when voting or averaging
  • Curse of dimensionality- Distance metrics grow less meaningful as feature count increases; reduce dimensions first if needed
Pro Tip

KNN's prediction cost scales with dataset size since it's a lazy learner with no training step — for large datasets, rely on sklearn's default algorithm='auto', which picks a KDTree or BallTree automatically, or use an approximate nearest-neighbor library like FAISS.

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