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Optimal quantization for the Cantor distribution generated by infinite similutudes
Mrinal Kanti Roychowdhury
Let be a Borel probability measure on generated by an infinite system of similarity mappings such that $P=\sum_{j=1}^\infty \frac 1{2^j}…
An algorithm to compute CVTs for finitely generated Cantor distributions
Carl P. Dettmann, Mrinal Kanti Roychowdhury
Centroidal Voronoi tessellations (CVTs) are Voronoi tessellations of a region such that the generating points of the tessellations are also the centroids of the corresponding Voron…
Quantization for uniform distributions of Cantor dusts on
Dogan Comez, Mrinal Kanti Roychowdhury
Let be a Borel probability measure on supported by the Cantor dusts generated by a set of , contractive similarity mappings satisfying the strong s…
Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets
Mrinal Kanti Roychowdhury
Quantization of a probability distribution is the process of estimating a given probability by a discrete probability that assumes only a finite number of levels in its support. Ce…
Quantization for uniform distributions on equilateral triangles
Carl P. Dettmann, Mrinal Kanti Roychowdhury
We approximate the uniform measure on an equilateral triangle by a measure supported on points. We find the optimal sets of points (-means) and corresponding approximation (…