We would like to thank the reviewers for taking the time to provide us with helpful feedback and will definitely

Below are our clarifications for the questions raised. The stability of the factorization under other kernels will be important to study in future work. Therefore, it may not make sense to compare LFP channels of different rats. In Section 3.3, the horseshoe prior is used on the loadings as an illustration of the methodology when The effective sample size is 276 (median) for the loadings but falls short for the length scales. Bayesian hypothesis testing in general and the null hypothesis formulation in this case are not well-defined.