5 citations · 11 across the 45 of their papers we have counts for
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Optimal quantization for some triadic uniform Cantor distributions with exact bounds
Mrinal Kanti Roychowdhury
Let be a set of three contractive similarity mappings such that for all , and , where $0<r<…
Quantization dimension for infinite conformal iterated function systems
Jason Atnip, Mrinal Kanti Roychowdhury, Mariusz Urbański
The quantization dimension function for an -conformal measure generated by an infinite conformal iterated function system satisfying the strong open set condition and by a…
The quantization of the standard triadic Cantor distribution
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…
High Precision Numerical Computation of Principal Points For Univariate Distributions
Santanu Chakraborty, Mrinal Kanti Roychowdhury, Josef Sifuentes
Principal points were first introduced by Flury: for a positive integer , principal points of a random variable are the points that minimize the mean squared distance be…
Optimal Quantization via Dynamics
Joseph Rosenblatt, Mrinal Kanti Roychowdhury
Quantization for probability distributions refers broadly to estimating a given probability measure by a discrete probability measure supported by a finite number of points. We con…