🟪 1-Minute Summary

K-Means partitions data into K clusters by minimizing within-cluster variance. Algorithm: (1) Initialize K centroids randomly, (2) Assign points to nearest centroid, (3) Update centroids, (4) Repeat until convergence. Choose K using elbow method or silhouette score. Pros: fast, scalable. Cons: need to specify K, assumes spherical clusters, sensitive to initialization and outliers.


🟦 Core Notes (Must-Know)

How K-Means Works

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Algorithm Steps

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Choosing K

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  • Elbow method
  • Silhouette score

Pros & Cons

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Assumptions

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🟨 Interview Triggers (What Interviewers Actually Test)

Common Interview Questions

  1. “How does K-Means work? Walk me through the algorithm”

    • [Answer: Initialize K centroids → assign points → update centroids → repeat]
  2. “What’s the elbow method?”

    • [Answer: Plot inertia vs K, look for “elbow” point]
  3. “What are limitations of K-Means?”

    • [Answer: Needs K, spherical clusters, sensitive to outliers, initialization]
  4. “What happens if you initialize K-Means poorly?”

    • [Answer: Local optimum - use k-means++ initialization]

🟥 Common Mistakes (Traps to Avoid)

Mistake 1: Not scaling features

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Mistake 2: Using K-Means for non-spherical clusters

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Mistake 3: Not handling outliers

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🟩 Mini Example (Quick Application)

Scenario

[Customer segmentation with K-Means]

Solution

from sklearn.cluster import KMeans
from sklearn.preprocessing import StandardScaler
import matplotlib.pyplot as plt

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# Including elbow method visualization


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