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In this paper we initiate the study of adaptive composition in differential privacy when the length of the composition, and the privacy parameters themselves can be chosen adaptively, as a function of the outcome of previously run analyses.
Probability in Banach Spaces: Isoperimetry and Processes
M. Ledoux and M. Talagrand · 1991
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On Hoeffding’s inequality for dependent random variables
Sara A van de Geer · 2002
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Self-normalized processes: exponential inequalities, moment bounds and iterated logarithm laws
Victor H. de la Peña, Michael J. Klass, and Tze Leung Lai · 2004
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Our data, ourselves: Privacy via distributed noise generation
Cynthia Dwork, Krishnaram Kenthapadi, Frank McSherry, Ilya Mironov, and Moni Naor · 2006
Earlier work this paper cites.
Calibrating noise to sensitivity in private data analysis
Cynthia Dwork, Frank McSherry, Kobbi Nissim, and Adam Smith · 2006
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Boosting and differential privacy
Cynthia Dwork, Guy N. Rothblum, and Salil P. Vadhan · 2010
Earlier work this paper cites.
Exponential inequalities for self-normalized martingales
Shanshan Chen, Zhenping Wang, Wenfei Xu, and Yu Miao · 2014
Cited alongside, same era.
On the ‘Semantics’ of Differential Privacy: A Bayesian Formulation
S.P. Kasiviswanathan and A. Smith · 2014
Cited alongside, same era.
Preserving statistical validity in adaptive data analysis
Cynthia Dwork, Vitaly Feldman, Moritz Hardt, Toniann Pitassi, Omer Reingold, and Aaron Leon Roth · 2015
Cited alongside, same era.
Hamid Ebadi and David Sands · 2015
Cited alongside, same era.
The composition theorem for differential privacy
Peter Kairouz, Sewoong Oh, and Pramod Viswanath · 2015
Cited alongside, same era.
Algorithmic stability for adaptive data analysis
Raef Bassily, Kobbi Nissim, Adam D. Smith, Thomas Steinke, Uri Stemmer, and Jonathan Ullman · 2016
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Concentrated differential privacy
Cynthia Dwork and Guy N. Rothblum · 2016
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The complexity of computing the optimal composition of differential privacy
Jack Murtagh and Salil P. Vadhan · 2016
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Privacy odometers and filters: Pay-as-you-go composition
Ryan M Rogers, Aaron Roth, Jonathan Ullman, and Salil Vadhan · 2016
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Personal communication, April 4, 2017
Yu Miao · 2017
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