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pro vyhledávání: '"Gil Kur"'
We establish estimates for the asymptotic best approximation of the Euclidean unit ball by polytopes under a notion of distance induced by the intrinsic volumes. We also introduce a notion of distance between convex bodies that is induced by the Will
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8220a3f3eaef5159f9a7a9b876ced6a1
http://arxiv.org/abs/1905.08862
http://arxiv.org/abs/1905.08862
Projection pursuit is a classical exploratory data analysis method to detect interesting low-dimensional structures in multivariate data. Originally, projection pursuit was applied mostly to data of moderately low dimension. Motivated by contemporary
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::158642aebc0d1c86b5ae4159a876a95e
https://europepmc.org/articles/PMC6140545/
https://europepmc.org/articles/PMC6140545/
Autor:
Gil Kur
We prove that there is an absolute constant $ C$ such that for every $ n \geq 2 $ and $ N\geq 10^n, $ there exists a polytope $ P_{n,N} \subset \mathbb{R}^n $ with at most $ N $ facets that satisfies $$\Delta_{v}(D_n,P_{n,N}):=\text{vol}_n\left(D_n \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bab40633c44ca15f5e9ae8ad5e06c412
http://arxiv.org/abs/1705.00210
http://arxiv.org/abs/1705.00210