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Optimal Sparsifiers for Minkowski Sums and Sums of Seminorms

Basu, Arpon et al.
arXiv (All) · Papers
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data-structures-and-algorithmsmetric-geometry
We extend the recent work of Reis and Rothvoss on sparsifying sums of $\ell_1$ norms to the more general task of sparsifying (Minkowski) sums of centrally symmetric, convex sets. As our main result, we prove that for any $\varepsilon > 0$ and centrally symmetric, convex sets $C_1, \ldots, C_m\subset
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