Jun 20, 2008 · We introduce a quantitative parameter measuring m-neighbourliness of symmetric convex polytopes in ℝk. We discuss this parameter for random ...
Stability Properties of Neighbourly Random Polytopes. Piotr Mankiewicz; Nicole Tomczak-Jaegermann. OriginalPaper 20 June 2008 Pages: 257 - 272. Lower Bounds for ...
Apr 25, 2024 · Stability Properties of Neighbourly Random Polytopes. Discret ... Banach-Mazur Distances and Projections on Random Subgaussian Polytopes.
k-neighborly polytope: A polytope such that each subset of at most k vertices forms the vertex set of a face. Thus every polytope is 1-neighborly, and a poly-.
If m ≍ s ln ( N / s ) and if Weibull random matrices are used, we prove here that the equality-constrained ℓ 1 -minimization remains stable and robust.
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The second case deals with purely combinatorial properties of random polytopes, namely neighborliness. Here, regular simplices or crosspolytopes of ...
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Jul 16, 2019 · Abstract. We study the geometry of centrally-symmetric random polytopes, generated by N inde- pendent copies of a random vector X taking ...
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May 22, 2024 · This paper is concerned with the problem of robust stability of uncertain two-dimensional (2-D) discrete systems described by the Roesser model ...
Aug 16, 2023 · ... random 0∕1 polytopes have good expansion properties. Our main result gives an affirmative answer to this question. We consider three ...
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All simplicial neighborly d-polytopes with n vertices have the same number of facets (in fact, the same f-vector (f0,f1,...,fd−1)) as Cd(n). They constitute the ...
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