Response to Reviewer Comment: 'The reason of comparing the proposed method to PDA is not clear.'

Thank you for your feedback. We apologize for any confusion caused by the comparison of the proposed method to PDA.

In our study, we compared the proposed method to PDA as both methods are based on the LSIE inversion model and incorporate sparse mixed regularization methods. We first compared the proposed method to PDA in the context of degraded synthetic data inversion, where we compared the performance of methods based on the LSIE inversion model. Subsequently, we also compared the proposed method to other methods based on the CIE inversion model in the context of experimental data inversion.

We understand that this may not have been explicitly stated in the manuscript. To address this, we will revise the manuscript to clarify the rationale behind the comparison of the proposed method to PDA and explicitly state the comparison between methods based on the LSIE inversion model.

Thank you once again for bringing this to our attention, and we appreciate your valuable input.