The influence of 𝜎 𝑛 exp , the experimental noise level, on the 𝜆 from CV and LC methods was also studied. Specifically, we repeated the same procedure described in Section 3.1.1.1 with 𝜎 𝑛 exp = 0.4, 0.6, 0.8, and 1.0 Ω . Graphically, Figures S3-S4, S5-S6, S7-S8, and S9-S10 show the averaged recovered impedances and DRTs using each parameter regularization method for 𝜎 𝑛 exp = 0.4, 0.6, 0.8, and 1.0 Ω, respectively. For increasing 𝜎 𝑛 exp , we note that the impedance recovery with the GCV, mGCV, re-im CV, and kf-CV methods are more accurate compared to the rGCV and LC methods. Quantitatively, the values of all the scores reported in Table increase with 𝜎 𝑛 exp , indicating an increasing distance between the optimal 𝜆 opt and the selected 𝜆 as 𝜎 𝑛 exp increases. Moreover, consistent with the experiments of Section 3.1.1.1, GCV and mGCV remain the most accurate methods for this set of experiments (Table ).