Review for NeurIPS paper: Neuronal Gaussian Process Regression

Additional Feedback: It would be useful to define the specific task setting up front -- both at training and testing time -- and how this relates to biology. I'm relatively happy with the test time operation: the goal is to define a neural network that takes input locations x* as inputs and returns (approximate) predictive means and variances at the queried location. I have less clarity on how the supervised training phase is handled in a biologically plausible way: in what biologically relevant scenario can the learning rule have direct access to the training outputs? Presumably these are provided by another system, such as a sensory system, but what is the biologically plausible mechanism for the learning rule to have access to them? Along similar lines, the use of the stochastic online learning rule seems to assume a setting where there are a large numbers of (x_i,y_i) training pairs which is an additional assumption that would be good to state up front.