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math.OC2026
Discrete Quantization on Spherical Geometries: Explicit Models, Computations, and Didactic Exposition
Mrinal Kanti Roychowdhury
We present an analytically explicit study of optimal discrete quantization on spherical geometries equipped with the geodesic metric, focusing on highly symmetric configurations on…
math.OC2026
Optimal Quantization of Finite Uniform Data on the Sphere
Mrinal Kanti Roychowdhury
This paper develops a systematic and geometric theory of optimal quantization on the unit sphere , focusing on finite uniform probability distributions supported on th…
math.OC2025
Optimal Quantization on Spherical Surfaces: Continuous and Discrete Models -- A Beginner-Friendly Expository Study
Mrinal Kanti Roychowdhury
This expository paper provides a unified and pedagogical introduction to optimal quantization for probability measures supported on spherical curves and discrete subsets of the sph…