The Curse of Dimensionality, Demystified

Understanding the mathematical intuition behind the curse of dimensionality

Reza Bagheri
Towards Data Science
23 min readOct 6, 2023

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Image source: https://pixabay.com/illustrations/ancient-art-background-cosmos-dark-764930/

The curse of dimensionality refers to the problems that arise when analyzing high-dimensional data. The dimensionality or dimension of a dataset refers to the number of linearly independent features in that dataset, so a high-dimensional dataset is a dataset with a…

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