We then followed the same GP procedure used in Section 3.1.1, and, in particular, we did not modify the matrix 𝚱(𝝎, 𝝎), see (6c). Panels (a) and (b) of Figure show the Bode plots of the GP-regressed and experimental impedances for the 1×ZARC with the noise model . The EIS spectrum was closely regressed (see the credible bands close to the mean in panels (a) and (b) of Figure . GPs were also able to filter and smooth the exact impedance corrupted by this type of noise. This can be understood graphically (Figure ), and with the boxplots of OMSE, OMSE exp , OMSE ∂ , and OMSE ∂,exp (Figure ) where OMSE ≪ OMSE exp and OMSE ∂ ≪ OMSE ∂,exp .