\(\varepsilon\)-coverings of Hölder-Zygmund type spaces on data-defined manifolds

DOI10.1155/2014/402918zbMath1470.41026OpenAlexW2137805402WikidataQ59037474 ScholiaQ59037474MaRDI QIDQ1724045

Martin Ehler, Frank-Dieter Filbir

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/402918

Mathematics Subject Classification ID

Approximation by other special function classes (41A30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Metric entropy, \(n\)-widths, and sampling of functions on manifolds

Cites Work

• Band-limited localized Parseval frames and Besov spaces on compact homogeneous manifolds
• Marcinkiewicz-Zygmund measures on manifolds
• Semi-supervised learning on Riemannian manifolds
• Computational approaches to lattice packing and covering problems
• Eignets for function approximation on manifolds
• On the representation of smooth functions on the sphere using finitely many bits
• Optimal recovery and \(n\)-widths for convex classes of functions
• Diffusion polynomial frames on metric measure spaces
• Consistency of spectral clustering
• \(N\)-widths and \(\varepsilon \)-dimensions for high-dimensional approximations
• Distributions, Sobolev spaces, elliptic equations
• Smooth function extension based on high dimensional unstructured data
• L ^p Spectral Theory of Higher-Order Elliptic Differential Operators
• Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere
• Metric entropy and approximation
• Nonlinear approximations using sets of finite cardinality or finite pseudo-dimension
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