3 papers
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…
physics.data-an2024
An insightful approach to bearings-only tracking in log-polar coordinates
Athena Helena Xiourouppa, Dmitry Mikhin, Melissa Humphries +1
The choice of coordinate system in a bearings-only (BO) tracking problem influences the methods used to observe and predict the state of a moving target. Modified Polar Coordinates…