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cs.IT2014★ 2 cited
Covering numbers of -balls of convex sets and functions
Adityanand Guntuboyina
We prove bounds for the covering numbers of classes of convex functions and convex sets in Euclidean space. Previous results require the underlying convex functions or sets to be u…
cs.IT2012★ 1 cited
Covering Numbers for Convex Functions
Adityanand Guntuboyina, Bodhisattva Sen
In this paper we study the covering numbers of the space of convex and uniformly bounded functions in multi-dimension. We find optimal upper and lower bounds for the -covering n…