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our response to Reviewer 2. We will also include the suggested references for Bayesian UQ methods

Neural Information Processing Systems

We greatly thank the reviewers for their constructive comments. However, in certain applications, there is scientific evidence for a parametric form of the triggering kernel (e.g., [Beggs We show here a small example with 5 nodes in Figure 1. We have similar observations for recovering other edges in this example. In each picture, the two blue curves outline the proposed CIs, and the two red curves outline the asymptotic CI. Moreover, we will adjust Section 2-3 as suggested.