Wavelet Moments for Cosmological Parameter Estimation

Understand

Extracting non-Gaussian information from the non-linear regime of structure formation is key to fully exploiting the rich data from upcoming cosmological surveys probing the large-scale structure of the universe.

• However, due to theoretical and computational complexities, this remains one of the main challenges in analyzing observational data.
• We present a set of summary statistics for cosmological matter fields based on 3D wavelets to tackle this challenge.
• These statistics are computed as the spatial average of the complex modulus of the 3D wavelet transform raised to a power $q$ and are therefore known as invariant wavelet moments.