What is the Curse of Dimensionality in outlier detection?

Updated May 5, 2026

Short answer

In high dimensions, all points become almost equally distant[cite: 1].

Deep explanation

As dimensions increase, distance-based metrics lose their discriminative power, making every point look like an outlier[cite: 1].

Real-world example

Feature sets with 500+ variables making K-NN unusable[cite: 1].

Common mistakes

  • Not performing dimensionality reduction (PCA) before using distance-based models[cite: 1].

Follow-up questions

  • How to mitigate this?

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