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The recovered model however contains some artefacts in deeper regions.

a Horizontal slice of the recovered model with a radial length of 1698 km, b vertical profile of the recovered model at the latitude of 35°.

Checkerboard test: Recovered model (left panel) compared to the target model (right panel).

The recovered model is shown in the left panel of Fig. 1.

Using the same scheme, with a density bound of 0 0.7 g/cm3, the recovered model was obtained, as in Fig. 13; the recovered model was well fitted with the blank lines indicating the boundaries of the theoretical models.

The recovered model agrees well with the laterally averaged target model, although the latter comprises large jumps in conductivity.

By checking the differences between the simulated and recovered models, we demonstrated the reliability of our method.

As can be seen in Fig. 4 b, the recovered models cannot fit all instances as well as on the Mocap-Face dataset [9].

The values of the inversion parameters were set according to the results of synthetic modeling, enabling maximum similarity between the initial and recovered models, both in terms of amplitude and the positions of the synthetic patterns.

More importantly, the convergence of the linearized alternating direction method multiple on our matrix recovering model is discussed and proved mathematically.

It can be shown that inversions can recover model parameter values correctly or closely with cost function errors close to zero (errors 3.0 to 8.1; zero is the minimum).