juniorCurse of Dimensionality
Why do distances lose meaning in high dimensions?
Updated May 15, 2026
Short answer
Because relative differences between distances shrink.
Deep explanation
In high dimensions, Euclidean distances between random points converge, making nearest and farthest points almost indistinguishable.
Real-world example
Search ranking systems misjudging similarity.
Common mistakes
- Using raw Euclidean distance without normalization.
Follow-up questions
- What is distance concentration?
- How to fix it?