A remark on Vapnik-Chervonienkis classes
Colloquium Mathematicum, Tome 74 (1997) no. 1, pp. 93-98
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We show that the family of all lines in the plane which is a VC class of index 2 cannot be obtained in a finite number of steps starting with VC classes of index 1 and applying the operations of intersection and union. This confirms a common belief among specialists and solves a question asked by several authors.
@article{10_4064_cm_74_1_93_98,
author = {Agata Smoktunowicz},
title = {A remark on {Vapnik-Chervonienkis} classes},
journal = {Colloquium Mathematicum},
pages = {93--98},
publisher = {mathdoc},
volume = {74},
number = {1},
year = {1997},
doi = {10.4064/cm-74-1-93-98},
language = {de},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-74-1-93-98/}
}
Agata Smoktunowicz. A remark on Vapnik-Chervonienkis classes. Colloquium Mathematicum, Tome 74 (1997) no. 1, pp. 93-98. doi: 10.4064/cm-74-1-93-98
Cité par Sources :