My work on the application of a Hermite-based measure of non-Gaussinaity is now out! I am very grateful to have worked on such diverse topics for my Ph.D. and to have them published right when I graduated.

https://www.frontiersin.org/articles/10.3389/fninf.2023.1113988/full

Briefly, this work explores a new measure of deviation from normality based on Hermite functions and evaluates the applicability of the new measure to normality testing and independent component analysis (ICA). The measure was tested on known distributions and simulated EEG datasets and compared to standard normality tests and a common ICA package. Our findings suggest that the measure shows promise as a normality test, with limited advantages for ICA.