Optimal approximation and quantisation

DOI10.1016/j.jmaa.2006.02.073zbMath1132.49023OpenAlexW2094364902MaRDI QIDQ854015

Nikolay Tontchev, Ilya S. Molchanov

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.02.073

zbMATH Keywords

triangulationapproximationVoronoi tesselationquantisationBezier surface

Mathematics Subject Classification ID

Spline approximation (41A15) Optimality conditions for problems involving randomness (49K45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (2)

Optimal Poisson quantisation ⋮ Variational Analysis of Poisson Processes

Cites Work

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• Small ball probabilities around random centers of Gaussian measures and applications to quantization
• Functional quantization and small ball probabilities for Gaussian processes
• Limit theorems for random normalized distortion
• On the link between small ball probabilities and the quantization problem for Gaussian measures on Banach spaces
• Optimum quantization and its applications
• Foundations of quantization for probability distributions
• Variational Analysis of Functionals of Poisson Processes
• Clustering methods based on variational analysis in the space of measures
• Quantization of probability distributions under norm-based distortion measures
• Nonlinear segmented function approximation and analysis of line patterns
• The Error in Linear Interpolation at the Vertices of a Simplex

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