The paper proposes an approach for inferring the communication graph in multi-agent systems. It combines a gradient-based optimization with a discretization or “hardening” step. The method addresses a relevant problem, is reasonably well explained, and produces promising empirical results. In their initial reviews the reviewers expressed a number of concerns, these were, however, addressed at least in parts by the author response, and ultimately all reviewers recommend acceptance. One remaining caveat is the experimental evaluation which could be strengthened, e.g. by demonstrating that the approach works across a broader range of problems. Furthermore, the authors are strongly encouraged to incorporate the clarifications provided to the reviewers as part of the author response.