The theory of semialgebraic sets is used to generate new Vapnik-Chervonenkis (VC) classes of positivity sets. It is also shown that certain analytic families of positivity sets are VC.
@article{1176347373,
author = {Stengle, G. and Yukich, J. E.},
title = {Some New Vapnik-Chervonenkis Classes},
journal = {Ann. Statist.},
volume = {17},
number = {1},
year = {1989},
pages = { 1441-1446},
language = {en},
url = {http://dml.mathdoc.fr/item/1176347373}
}
Stengle, G.; Yukich, J. E. Some New Vapnik-Chervonenkis Classes. Ann. Statist., Tome 17 (1989) no. 1, pp. 1441-1446. http://gdmltest.u-ga.fr/item/1176347373/