The probabilistic framework we developed is intended to provide a set of tools for understanding the relationship

We would like to thank the reviewers for their thoughtful comments and questions. We address reviewer concerns for these four tasks separately. We agree with this observation, and note that the use of the CAE is not critical to downstream analyses. ARHMM as a prior model of behavior which is then incorporated into the Bayesian decoder. Though we do not further pursue this variability in the manuscript (e.g.