Thomas Lumley 9/14/2015

(high-dimensional) Space is Big.

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This technical article uses R code simulations of points in a p-dimensional hypercube to demonstrate how nearest-neighbor distances approach the average interpoint distance as dimensions increase. It explains the statistical intuition behind this phenomenon, its implications for prediction methods that rely on nearby points, and its relation to the 'curse of dimensionality' in statistics and machine learning.

(high-dimensional) Space is Big.

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