New interpretable statistics for large-scale structure analysis and generation

Abstract

The authors introduce a new statistical method, a recent development in data science called Wavelet Phase Harmonic statistics, to study the matter density fields from simulations of the large-scale structure of the Universe. This method appears to be especially well suited for the nonlinearities in the large-scale structure and captures the interactions of different scales, in contrast to a Fourier analysis that is tailored for linear problems (Gaussian fields) like the CMB.