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…
Constrained quantization for probability distributions
Megha Pandey, Mrinal Kanti Roychowdhury
In this work, we extend the classical framework of quantization for Borel probability measures defined on normed spaces by introducing and analyzing the notions of t…
Constrained Quantization for Uniform Distributions with Two Constraint Families
Pavjeet Singh, S. K. Katiyar, Megha Pandey +1
In this paper, we first consider a family of constraints given by straight lines. For a uniform probability distribution, we determine the constrained optimal sets of -points an…
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…
Quantization for the mixtures of overlap probability distributions
Asha Barua, Angelina Chavera, Ivan Djordjevic +4
Optimal quantization for mixed distributions has emerged as a compelling area of study. In this work, we have focused on a mixed distribution formed from two uniform distributions…
Quantization for the mixtures of uniform distributions on connected and disconnected line segments
Asha Barua, Gustavo Fernandez, Ashley Gomez +2
In this paper, we have studied various mixed distributions generated by two uniform distributions: first, where the supports are two connected line segments, and second, where the…