Abstract
In this chapter, we introduce combinatorial parameters measuring the complexity of a set system: the shatter functions and the Vapnik—Chervonenkis dimension. These concepts have recently become quite important in several branches of pure and applied mathematics and of theoretical computer science, such as statistics, computational learning theory, combinatorial geometry, and computational geometry.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Matoušek, J. (1999). VC-Dimension and Discrepancy. In: Geometric Discrepancy. Algorithms and Combinatorics, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03942-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-03942-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03941-6
Online ISBN: 978-3-642-03942-3
eBook Packages: Springer Book Archive