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math.ST2026
Asymptotic analysis of parameterised univariate Gaussian splitting
Dmitry Mikhin, Athena Xiourouppa
This document provides in-depth details for the derivation of the univariate splitting algorithm developed in arXiv:2606.01530. The algorithm approximates the standard, 1-D Gaussia…
math.ST2026
A flexible and robust approach to univariate Gaussian splitting using parameterised Gaussian mixtures
Dmitry Mikhin, Athena Xiourouppa
We consider approximation of a Gaussian distribution with a mixture of homoscedastic Gaussians of smaller variance. The solution is obtained by minimising the norm between th…