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math.MG2022
The Vector Balancing Constant for Zonotopes
Laurel Heck, Victor Reis, Thomas Rothvoss
The vector balancing constant of two symmetric convex bodies is the minimum so that any number of vectors from can be balanced into an -s…
math.MG2022
Approximate Carathéodory bounds via Discrepancy Theory
Victor Reis, Thomas Rothvoss
The approximate Carathéodory problem in general form is as follows: Given two symmetric convex bodies , a parameter and $\mathbf{z} \…