79 citations · 216 across the 12 of their papers we have counts for
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math.CO2020★ 8 cited
Constrained Polynomial Zonotopes
Niklas Kochdumper, Matthias Althoff
We introduce constrained polynomial zonotopes, a novel non-convex set representation that is closed under linear map, Minkowski sum, Cartesian product, convex hull, intersection, u…
math.CO2019★ 5 cited
Representation of Polytopes as Polynomial Zonotopes
Niklas Kochdumper, Matthias Althoff
We prove that each bounded polytope can be represented as a polynomial zonotope, which we refer to as the Z-representation of polytopes. Previous representations are the vertex rep…