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arXiv · 1008.5105

Indexability, concentration, and VC theory

Vladimir Pestov
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Abstract

Degrading performance of indexing schemes for exact similarity search in high dimensions has long since been linked to histograms of distributions of distances and other 1-Lipschitz functions getting concentrated. We discuss this observation in the framework of the phenomenon of concentration of measure on the structures of high dimension and the Vapnik-Chervonenkis theory of statistical learning.

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Vladimir Pestov. 2011-05-21. Indexability, concentration, and VC theory. https://doi.org/10.1016/j.jda.2011.10.002

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