Revision as of 10:38, 17 April 2008 by Yoder2 (Talk)

Refers to the problem caused by exponential growth of hypervolume as a function of dimensionality. This term was coined by Richard Bellman in 1961.

As stated in Lecture 3 - Bayes classification_Old Kiwi, The curse of dimensionality starts at d>17-23. There are no clusters or groupings of data points when d>17. In practice each point turns to be a cluster on its own and as a result this explodes into a high dimensional feature vectors which are impossible to handle in computation.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett