Duality Bounds for Convexified Packing in Hilbert Geometry

Sunil Arya, David M. Mount

Let $G$ and $K$ be convex bodies in ${\mathbb{R}}^d$, where $0\in \text{int}G$ and $G\subset \text{int}K$. Given $\alpha >0$, the Hilbert packing number $M_H(G,K;\alpha )$ is the maximum…