Posterior distributions of the parameters of the turbulent power spectrum estimated with SBI on the reference realization with different summary statistics. The input values of the realization are plotted with black dotted lines. The blue posterior was obtained with SNPE trained uniquely on the structure functions. The green posterior was obtained with SNPE trained on the structure functions together with additional statistics of the output maps. The red posterior was obtained with SNPE trained on the raw output vectors with an embedding network.