5 citations · 11 across the 45 of their papers we have counts for
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Asymptotics of the quantization errors for condensation measures
Mrinal Kanti Roychowdhury
Let , where , for all , and be a Borel probabi…
Optimal quantizers for some absolutely continuous probability measures
Mrinal Kanti Roychowdhury
The representation of a given quantity with less information is often referred to as `quantization' and it is an important subject in information theory. In this paper, we have con…
Least upper bound of the exact formula for optimal quantization of some uniform Cantor distributions
Mrinal Kanti Roychowdhury
The quantization scheme in probability theory deals with finding a best approximation of a given probability distribution by a probability distribution that is supported on finitel…
Optimal quantization for a probability measure on a nonuniform stretched Sierpiński triangle
Megha Pandey, Mrinal Kanti Roychowdhury
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. In…
Quantization for uniform distributions on stretched Sierpiński triangles
Dogan Comez, Mrinal Kanti Roychowdhury
In this paper, we have considered a uniform probability distribution supported by a stretched Sierpiński triangle. For this probability measure, the optimal sets of -means and t…
A Study of -dipath Colourings of Oriented Graphs
Christopher Duffy, Gary MacGillivray, Éric Sopena
We examine -colourings of oriented graphs in which, for a fixed integer , vertices joined by a directed path of length at most must be assigned different colours.…
Quantization for infinite affine transformations
Dogan Comez, Mrinal Kanti Roychowdhury
Quantization for a probability distribution refers to the idea of estimating a given probability by a discrete probability supported by a finite set. In this article, we consider a…
Quantization for a probability distribution generated by an infinite iterated function system
Lakshmi Roychowdhury, Mrinal Kanti Roychowdhury
Quantization for probability distributions concerns the best approximation of a -dimensional probability distribution by a discrete probability with a given number of su…