13 papers · 1 filter
Optimal Quantization for Nonuniform Densities on Spherical Curves
Silpi Saha, Sangita Jha, Mrinal Kanti Roychowdhury
We present an analysis of optimal quantization of probability measures with nonuniform densities on spherical curves. We begin by deriving the centroid condition, followed by a hig…
Optimal Sets and Quantization Errors under Geometric Constraints for Discrete Distributions
Prabhat Tamrakar, Bismark Bimpong, S. K. Katiyar +2
This paper presents a detailed study of constrained quantization for both finite and infinite discrete probability distributions supported on subsets of the real line. Under specif…
Conditional Optimal Sets and the Quantization Coefficients for Some Uniform Distributions
Evans Nyanney, Megha Pandey, Mrinal Kanti Roychowdhury
Bucklew and Wise (1982) showed that the quantization dimension of an absolutely continuous probability measure on a given Euclidean space is constant and equals the Euclidean dimen…
Conditional quantization for uniform distributions on line segments and regular polygons
Pigar Biteng, Mathieu Caguiat, Tsianna Dominguez +1
Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. If…
Conditional constrained and unconstrained quantization for uniform distributions on regular polygons
Christina Hamilton, Evans Nyanney, Megha Pandey +1
In this paper, we have considered a uniform distribution on a regular polygon with -sides for some and the set of all its vertices as a conditional set. For the un…
Constrained quantization for a uniform distribution
Pigar Biteng, Mathieu Caguiat, Dipok Deb +2
Constrained quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with a finite number of supporting points ly…