Work

A sharp concentration inequality with applications

Year: 2000
Type: article
Abstract: We derive a new general concentration-of-measure inequality. The concentration inequality applies, among others, to configuration functions as defined by Talagrand and also to combinatorial entropies such as the logarithm of the number of increasing subsequences in a random permutation and to Vapnik-Chervonenkis (VC) entropies. The results find direct applications in statistical learning theory, substantiating the possibility to use the empirical VC entropy in penalization techniques. © 2000 John Wiley & Sons, Inc. Random Struct. Alg., 16: 277–292, 2000
Language: English
Open Access status: green
OpenAlex ID: W2163032969
FWCI: 14.7
Cites: 27
Cited by: 177
Related to: 9