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Surfaces of n-dimensional ellipsoids – I – quadratic form and matrix equation

This post requires Javascript to display formulas! Multidimensional ellipsoids are mathematically interesting figures per se. But there is a reason why they sometimes also appear in the context of Machine Learning experiments. One reason is that Multivariate Normal Distributions [MND] often describe the statistical distributions of properties which characterize natural objects we investigate by ML-methods. And the locations of constant probability density of MNDs are surfaces of multidimensional ellipsoids. MNDs and ellipsoids may therefore appear in data distributions in diverse variable spaces which we use… Read More »Surfaces of n-dimensional ellipsoids – I – quadratic form and matrix equation