We thank the reviewers for their careful reading of our work and for their helpful comments

We thank the reviewers for their careful reading of our work and for their helpful comments. We will also clarify that the text in sections 2.1 and 2.2 In terms of experimental predictions, our work predicts the synaptic weights in the SFA circuit. One mechanism for implementing a quadratic expansion are so-called "Sigma-Pi units" (Rumelhart, Hinton and (Mel and Koch, 1990). In this case, the derivation proceeds exactly as laid out in the paper. Thank you for pointing out the typos.