Properties2
| Type | Idea |
| Note created | Mar 4, 2025 |
A classic example to illustrate the curse of dimensionality in the n-dimensional hypersphere is that, for a high-dimensional space, the Euclidean distance of all the random points within the sphere are not evenly distributed but all clumped together in high values, rendering the distance effectively useless: the metric is not measuring anything anymore. This insight is more detailed in this Stack Exchange answer.