“…Furthermore, the increasing precision reached with next-generation surveys will enable us to access the non-Gaussian part of cosmological signals, induced by the nonlinear evolution of structure on small scales and low redshifts, which is not captured with second-order summary statistics alone. Specifically for weak lensing, a rich literature proposing several non-Gaussian statistics (Euclid Collaboration 2023), such as Minkowski functionals (e.g., Kratochvil et al 2012 andParroni et al 2020), higher order moments (e.g., Petri et al 2016 andGatti et al 2020), bispectrum (Takada & Jain 2004;Coulton et al 2019), peak counts (Kruse & Schneider 1999;Dietrich & Hartlap 2010;Liu et al 2015;Lin & Kilbinger 2015;Peel et al 2017;Martinet et al 2017;Li et al 2019;Ajani et al 2020;Zücher et al 2022b;Ayçoberry et al 2023), Betti numbers (Parroni et al 2021), the scattering transform (Cheng et al 2020), wavelet phase harmonic statistics (Allys et al 2020), and machine learning-based methods (e.g., Fluri et al 2018 andShirasaki et al 2021), is catching the attention of the community. The 1 -norm of wavelet coefficients of weak-lensing convergence maps has been proposed (Ajani et al 2021) as a new summary statistics for weak lensing as it provides a unified framework to perform a multi-scale analysis that takes into account the information encoded in all pixels of the map.…”