Multivariate signs and ranks

H Oja - Multivariate Nonparametric Methods with R, 2010 - Springer
… the zonotopes. It appears that there is a nice duality relation between zonotopes (lift zonotopes)
… of zonotope Zp(Y) and lift zonotope LZp+1(Y), respectively. See Koshevoy et al. (2004). …

混杂系统模型验证工具的验证效果分析

刘震 - 2010 - cdmd.cnki.com.cn
… 混杂系统连续子系统和离散子系统相互作用的特点, 研究了混杂自动机模, 多面体混杂自动机和
混杂I/O 自动机的建模方法; 对于混杂系统的流管道过近似问题, 给出了齐诺多面体(zonotopes) 的…

Auerbach bases and minimal volume sufficient enlargements

MI Ostrovskii - Canadian Mathematical Bulletin, 2011 - cambridge.org
… 3] that each MVSE is a zonotope generated by a totally unimodular matrix, and the set of all
MVSE’s (for all spaces) coincides with the set of all space tiling zonotopes described in [4, 7]. …

Arrangements of submanifolds and the tangent bundle complement

P Deshpande - arXiv preprint arXiv:1110.1520, 2011 - arxiv.org
… In particular, we show that the combinatorics is similar to that of a zonotope. Recall that a …
of a very special polytope known as the zonotope. Zonotopes can be defined in various ways: …

Set-based computation of vehicle behaviors for the online verification of autonomous vehicles

M Althoff, JM Dolan - 2011 14th International IEEE Conference …, 2011 - ieeexplore.ieee.org
… The method applied in this work is based on [5], which uses zonotopes as a set … abstracts
to linear systems, is efficient, since zonotopes show great performance for linear systems [8]. …

Complexity and algorithms for computing Voronoi cells of lattices

M Dutour Sikirić, A Schürmann, F Vallentin - Mathematics of computation, 2009 - ams.org
… a zonotope associated to the hyperplane arrangement. These two steps are standard and
we cover them rather briefly. In Section 2.4 we show that the Voronoi cell of L(G) is a zonotope

Determination of Edges of a Convex Polytope

T Büyükköroğlu - Anadolu University Journal of Science and …, 2011 - dergipark.org.tr
… In this section for a zonotope (which are important for applications) we show that the
extreme points determine the edges. As mentioned above these polytopes have the form …

Frugal hypothesis testing and classification

KR Varshney - 2010 - dspace.mit.edu
… This additional factor is accounted for through an analysis of zonotopes, which are … by a
matrix on the Stiefel manifold is a zonotope. The fourth section concentrates on the application of …

Nonuniform sampling and recovery of multidimensional bandlimited functions by Gaussian radial-basis functions

BA Bailey, T Schlumprecht, N Sivakumar - Journal of Fourier Analysis and …, 2011 - Springer
… Firstly, given any δ ∈ (0,1), there exist zonotopes Z such that δB2 ⊂ Z ⊂ B2; this fact, well
… here; our argument makes essential use of the additional flexibility offered by zonotopes. …

Bayesian Integrals

M Drton, B Sturmfels, S Sullivant - Lectures on Algebraic Statistics, 2009 - Springer
… polynomial, and a polytope is a zonotope if it is the image of a standard cube under a linear
map; see Chapter 7 of [105] for more on zonotopes. We are here considering the zonotope