… For our stochastic reachability analysis we use probabilistic zonotopes as the set representation.
Zonotopes and probabilistic zonotopes have been … A zonotope P is defined as follows: …

… Moreover, we can formulate linear programming problems in terms of zonotope (the Minkowski
sum of line segments; see, eg, [16]), which will be discussed in Section 4. Zonotopes are …

… We show that computing the volume of zonotopes is #P-hard (while each corresponding
mixed volume can be computed easily) but also give examples showing that computing mixed …

… zonotope containing an interior lattice point with respect to any combinatorially positive
valuation has real-rooted |$a$|- and |$b$|-polynomials. In the case that the lattice zonotope is …

… zonotopes in I~ n with respect to the Hausdorff metric. The sum of the centers of the segments
defines a center of symmetry for a zonotope… the support function of a zonotope we see that …

It is shown that if there exists a binary code C of length d and covering radius k then a
zonotope in the d-dimensional Euclidean space can be illuminated by ¦C¦ affine subspaces of …

… In order to realize robust AFD for the dynamics (1), we first exploit the zonotope geometry
to … t represents the order of the zonotope Z. Denote Z = g ⊕ HBt as Z = 〈g, H〉. Given two …

We study real-valued, continuous and translation invariant valuations defined on the space
of quasi-concave functions of N variables. In particular, we prove a homogeneous …

… zonotopes and H-convex sets instead of ellipsoids. We describe here one of the results for
zonotopes… d , we say that a convex set K is a zonotope centered at p with directions v 1 , … , v …

… If the NODE is nonlinear, we make use of zonotope and polynomial-zonotope based …
scalable than other zonotope-based methods and possess soundness guarantees as well. …