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Metric entropy of classes of sets with positive reach

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Publication:1745370
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DOI10.1007/s00365-017-9388-0zbMath1393.52011OpenAlexW2749753869MaRDI QIDQ1745370

Fuchang Gao, James Cockreham

Publication date: 17 April 2018

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-017-9388-0


zbMATH Keywords

metric entropyHausdorff distancestar-shapedpositive reachsimplicial approximation


Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)


Related Items (2)

Entropy of convex functions on \(\mathbb R^d\) ⋮ A new \(H^2\) regularity condition of the solution to Dirichlet problem of the Poisson equation and its applications



Cites Work

  • Entropy of convex functions on \(\mathbb R^d\)
  • Metric entropy of some classes of sets with differentiable boundaries
  • Covering Numbers for Convex Functions
  • Curvature Measures
  • Uniform Central Limit Theorems
  • Unnamed Item
  • Unnamed Item


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