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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.
Calibrating noise to sensitivity in private data analysis
Cynthia Dwork, Frank McSherry, Kobbi Nissim, and Adam Smith · 2006
Earlier work this paper cites.
Smooth sensitivity and sampling in private data analysis
Kobbi Nissim, Sofya Raskhodnikova, and Adam Smith · 2007
Earlier work this paper cites.
Accurate estimation of the degree distribution of private networks
Michael Hay, Chao Li, Gerome Mikalu, and David D. Jensen · 2009
Earlier work this paper cites.
The johnson-lindenstrauss transform itself preserves differential privacy
Jeremiah Blocki, Avrim Blum, Anupam Datta, and Or Sheffet · 2012
Earlier work this paper cites.
Iterative constructions and private data release
Anupam Gupta, Aaron Roth, and Jonathan Ullman · 2012
Earlier work this paper cites.
Differentially private data analysis of social networks via restricted sensitivity
Jeremiah Blocki, Avrim Blum, Anupam Datta, and Or Sheffet · 2013
Cited alongside, same era.
Analyzing graphs with node differential privacy
Shiva P. Kasiviswanathan, Kobbi Nissim, Sofya Raskhodnikova, and Adam D. Smith · 2013
Cited alongside, same era.
Private analysis of graph structure
Vishesh Karwa, Sofya Raskhodnikova, Adam D. Smith, and Grigory Yaroslavtsev · 2014
Cited alongside, same era.
Differentially private network data release via structural inference
Qian Xiao, Rui Chen, and Kian-Lee Tan · 2014
Cited alongside, same era.
Inference using noisy degrees: Differentially private β \beta -model and synthetic graphs
Vishesh Karwa and Aleksandra Slavković · 2016
Cited alongside, same era.
Lipschitz extensions for node-private graph statistics and the generalized exponential mechanism
Sofya Raskhodnikova and Adam D. Smith · 2016
Later among the works it cites.
Revealing network structure, confidentially: Improved rates for node-private graphon estimation
Christian Borgs, Jennifer T. Chayes, Adam D. Smith, and Ilias Zadik · 2018
Later among the works it cites.
Individual sensitivity preprocessing for data privacy
Rachel Cummings and David Durfee · 2018
Later among the works it cites.
Smooth sensitivity, revisited
Mark Bun and Thomas Steinke · 2019
Closest in time.
Differentially private identity testing for multivariate distributions
Clément L. Canonne, Gautam Kamath, Audra McMillan, Jonathan Ullman, and Lydia Zakynthinou · 2019
Closest in time.
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