RWST statistics of the output dust map for the component separation applied to Herschel SPIRE maps at 250 μm. The (left) and (right) coefficients of and are compared. These coefficients correspond respectively to the couplings between dyadic scales and their angular modulation. They are normalized with respect to the and are plotted as a function of j₂ − j₁ for j₁ ∈ [0, J − 1] and j₂ ∈ [j₁ + 1, J − 1]. Each curve corresponds to a given j₁. The j₂ − j₁ differences on the bottom axes correspond to ratio of angular scales θ₂/θ₁ on the top axes. The colored bands represent ±1σ error-bars. These coefficients testify of the not-scale invariance and the filamentary structure of the output dust map .