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Table 7

Various statistics of the marginalized posterior distribution of the forward model parameters.

Method: cINN Method: MCMC Difference: 100 · (xcINNxMCMC)/xMCMC
Parameter Median 1-σ 2-σ Median 1-σ 2-σ ∆Median ∆1-σ ∆2-σ
wcore 0.09 [0.03, 0.17] [0.00, 0.24] 0.09 [0.03, 0.16] [0.01, 0.23] 5.84 [−4.30, 6.60] [−23.19, 6.95]
wrock 0.64 [0.45, 0.81] [0.30, 0.92] 0.64 [0.47, 0.78] [0.33, 0.89] 0.69 [−4.01, 3.51] [−8.66, 3.32]
wvol 0.25 [0.07, 0.46] [0.00, 0.64] 0.26 [0.11, 0.44] [0.03, 0.61] −3.85 [−34.35, 4.37] [−89.56, 4.35]
xS|core 0.26 [0.08, 0.42] [0.01, 0.48] 0.27 [0.09, 0.43] [0.01, 0.49] −5.10 [−8.83, −3.23] [−16.19, −1.32]
xFeO|mantle 0.09 [0.03, 0.17] [0.01, 0.24] 0.10 [0.03, 0.17] [0.00, 0.23] −4.56 [−8.95, 3.25] [24.75, 5.10]
0.41 [0.36, 0.47] [0.34, 0.49] 0.40 [0.35, 0.46] [0.34, 0.49] 1.47 [0.79, 1.49] [0.14, 0.33]
xMgO|mantle 0.50 [0.39, 0.58] [0.30, 0.63] 0.50 [0.42, 0.57] [0.33, 0.63] −0.19 [−6.02, 1.89] [−8.79, 1.26]
Rcore [RE] 0.55 [0.37, 0.68] [0.19, 0.78] 0.54 [0.37, 0.67] [0.21, 0.76] 2.22 [−0.51, 2.10] [−7.53, 2.08]
Rrock [RE] 0.88 [0.70, 1.08] [0.56, 1.31] 0.86 [0.71, 1.04] [0.57, 1.23] 1.89 [−0.39, 4.67] [−2.29, 6.33]
Rvol [RE] 0.38 [0.15, 0.66] [0.01, 0.88] 0.40 [0.21, 0.64] [0.07, 0.85] −4.89 [−29.47, 2.84] [−85.79, 4.07]

Notes. Comparing the cINN method with a Metropolis-Hastings MCMC scheme when applied to K2-111 b. ∆1σ and ∆2σ are the relative differences of the interval boundaries of the 1σ and 2σ intervals. The wrock and xFeO|mantle were calculated from the other layer mass fractions and other mantle oxide fractions.

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