Optimal quantization

DOI10.1007/s00591-002-0053-7zbMath1032.52001OpenAlexW4240325063MaRDI QIDQ1811226

Peter M. Gruber

Publication date: 11 March 2004

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00591-002-0053-7

zbMATH Keywords

surveyquantizationbest approximating polytopesinequalities in discrete geometrysum of moments

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Global Riemannian geometry, including pinching (53C20) Numerical quadrature and cubature formulas (65D32) Isoperimetric problems for polytopes (52B60) Discrete geometry (52C99) Approximation by convex sets (52A27) Numerical integration (65D30) Coding theorems (Shannon theory) (94A24) Rate-distortion theory in information and communication theory (94A34)

Related Items (3)

Optimum quantization and its applications ⋮ Quantization of probability distributions under norm-based distortion measures. II: Self-similar distributions ⋮ Approximation of smooth convex bodies by circumscribed polytopes with respect to the surface area

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