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Optimal extraction of the non-Gaussian information encoded in the Large-ScaleStructure (LSS) of the universe lies at the forefront of modern precisioncosmology. We propose achieving this task through the use of the WaveletScattering Transform (WST), which subjects an input field to a layer ofnon-linear transformations that are sensitive to non-Gaussianity in spatialdensity distributions through a generated set of WST coefficients. In order toassess its applicability in the context of LSS surveys, we apply the WST on the3D overdensity field obtained by the Quijote simulations, out of which weextract the Fisher information in 6 cosmological parameters. It is subsequentlyfound to deliver a large improvement in the marginalized errors on allparameters, ranging between $1.2-4\times$ tighter than the corresponding onesobtained from the regular 3D cold dark matter + baryon power spectrum, as wellas a $50 \%$ improvement over the neutrino mass constraint given by the markedpower spectrum. Through this first application on 3D cosmological fields, wedemonstrate the great promise held by this novel statistic and set the stagefor its future application to actual galaxy observations.

Towards an Optimal Estimation of Cosmological Parameters with the Wavelet Scattering Transform