… In this paper, the implementation of set computation is based on zonotopes, because they …
of zonotopes used in this paper are given below [1], [2]. Definition 3.1: An r-order zonotope Z is …

… Therefore, we use zonotopes to estimate the output estimation sets and convert the zonotope
to … In this subsection, the method of converting a zonotope to its mathematically equivalent …

… Furthermore, by Lemma 1, C is a union of zonotopes. Additionally, by virtue of the
centrally symmetric property of zonotopes and Lemma 1, C is also centrally symmetric. …

… has the form of a zonotope, which is a convex and centrally symmetric polygon, and it is
shown that images forming the horseshoe must lie along the vertices of the zonotope, if it exists, …

… We can use the zonotope structure of the permutahedron to compute the volume and …
We can use the zonotope structure of the permutahedron to compute the volume and Ehrhart …

… The behavior of the zonotope could be appreciated in Fig.7. At the beginning the region defined
by the zonotope grows until the reliable … In those moments the zonotope size is reduced. …

… In particular, we use zonotope as they can provide nonconservative overbounds and efficient
computations [13]. The idea of developing the recursive algorithm can be interpreted by the …

… with tighter constraints derived from a zonotope-based disturbance propagation. The
worst-case disturbance reachable sets are computed from zonotopes combined with the mean-…

… (i) We derive a geometric representation (convex hull between two zonotopes) for a super
set to the decision boundaries of a DNN in the form (Affine, ReLU, Affine). (ii) We demonstrate …

… In this work, we use probabilistic zonotopes for the motion prediction. Probabilistic zonotopes
… can be defined as a mixed list of generators of a zonotope and a Gaussian zonotope [3]. …