Fig. 2

Examples of 20 000 points drawn from the 3D ellipsoid used in Fig. 1 but now according to the super-Gaussian priors . Panels from left to right show the histogram densities of the number of drawn points per dimension. By definition, the histogram corresponding to the coordinate θ2 has a plateau with twice the width of the plateau of the other two coordinates, while we see the same spread in the tails of the histograms for θ1 and θ2 and a smaller one for that of θ3. All the distributions are also centered in the given input center position.
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