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Poster

Efficiently Estimating Erdos-Renyi Graphs with Node Differential Privacy

Jonathan Ullman · Adam Sealfon

East Exhibition Hall B + C #91

Keywords: [ Privacy, Anonymity, and Security ] [ Applications ] [ Theory ] [ Learning Theory ]


Abstract:

We give a simple, computationally efficient, and node-differentially-private algorithm for estimating the parameter of an Erdos-Renyi graph---that is, estimating p in a G(n,p)---with near-optimal accuracy. Our algorithm nearly matches the information-theoretically optimal exponential-time algorithm for the same problem due to Borgs et al. (FOCS 2018). More generally, we give an optimal, computationally efficient, private algorithm for estimating the edge-density of any graph whose degree distribution is concentrated in a small interval.

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