Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Kipp, Christian"'
Autor:
Kipp, Christian
We study necessary conditions for local maximizers of the isotropic constant that are related to notions of decomposability. Our main result asserts that the polar body of a local maximizer of the isotropic constant can only have few Minkowski summan
Externí odkaz:
http://arxiv.org/abs/2411.08722
Autor:
Kipp, Christian
We discuss first-order optimality conditions for the isotropic constant and combine them with RS-movements to obtain structural information about polytopal maximizers. Strengthening a result by Rademacher, it is shown that a polytopal local maximizer
Externí odkaz:
http://arxiv.org/abs/2407.01353
We study the problem of covering a given point set in the plane by unit disks so that each point is covered exactly once. We prove that 17 points can always be exactly covered. On the other hand, we construct a set of 657 points where an exact cover
Externí odkaz:
http://arxiv.org/abs/2401.15821
Autor:
Kipp, Christian
Publikováno v:
Journal of Functional Analysis 287 (2024), 110644
Motivated by first-order conditions for extremal bodies of geometric functionals, we study a functional analytic notion of infinitesimal perturbations of convex bodies and give a full characterization of the set of realizable perturbations if the per
Externí odkaz:
http://arxiv.org/abs/2303.18033
Recently, K.-Y. Wu introduced affine subspace concentration conditions for the cone volumes of polytopes and proved that the cone volumes of centered, reflexive, smooth lattice polytopes satisfy these conditions. We extend the result to arbitrary cen
Externí odkaz:
http://arxiv.org/abs/2207.08477
Autor:
Genzel, Martin, Kipp, Christian
Publikováno v:
Sampl. Theory Signal Process. Data Anal. 20.2 (2022), 15
This work performs a non-asymptotic analysis of the generalized Lasso under the assumption of sub-exponential data. Our main results continue recent research on the benchmark case of (sub-)Gaussian sample distributions and thereby explore what conclu
Externí odkaz:
http://arxiv.org/abs/2004.05361
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.