Least upper bound of the exact formula for optimal quantization of some uniform Cantor distributions

DOI10.3934/dcds.2018199zbMath1409.60033arXiv1606.04134OpenAlexW2964272451MaRDI QIDQ1661185

Mrinal Kanti Roychowdhury

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04134

zbMATH Keywords

Cantor setprobability distributionquantization erroroptimal quantizers

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17) Fractals (28A80)

Related Items

Canonical sequences of optimal quantization for condensation measures ⋮ Optimal quantization for the Cantor distribution generated by infinite similutudes ⋮ Quantization coefficients for uniform distributions on the boundaries of regular polygons ⋮ Quantization for uniform distributions on stretched Sierpiński triangles ⋮ Optimal quantization for mixed distributions ⋮ Optimal quantization via dynamics ⋮ Optimal quantization for some triadic uniform Cantor distributions with exact bounds

Cites Work

• Unnamed Item
• Unnamed Item
• Some remarks on the existence of optimal quantizers
• Optimal quantizers for some absolutely continuous probability measures
• Quantization for uniform distributions on equilateral triangles
• Foundations of quantization for probability distributions
• Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets
• The Quantization of the Cantor Distribution
• Lattice Coding for Signals and Networks
• Locally optimal block quantizer design
• Asymptotic quantization error of continuous signals and the quantization dimension
• Quantization and the method of<tex>k</tex>-means
• On the structure of optimal entropy-constrained scalar quantizers
• Centroidal Voronoi Tessellations: Applications and Algorithms
• Quantization