A Graph-theoretic Generalization of the Sauer-Shelah Lemma

We show a natural graph-theoretic generalization of the Sauer–Shelah lemma. This result is applied to bound the ‘∞ and L1 packing numbers of classes of functions whose range is an arbitrary, totally bounded metric space. ? 1998 Elsevier Science B.V. All rights reserved.

• Type: Journal
• Year: 1998
• Where: DAM
• Authors: Nicolò Cesa-Bianchi, David Haussler
• Keywords: DAM 1998, Natural Graph-theoretic Generalization, Packing Numbers, Sauer–Shelah Lemma