On Differential Privacy and Adaptive Data Analysis with Bounded Space

Itai Dinur*, Uri Stemmer, David P. Woodruff, Samson Zhou

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study the space complexity of the two related fields of differential privacy and adaptive data analysis. Specifically, 1.Under standard cryptographic assumptions, we show that there exists a problem P that requires exponentially more space to be solved efficiently with differential privacy, compared to the space needed without privacy. To the best of our knowledge, this is the first separation between the space complexity of private and non-private algorithms.2.The line of work on adaptive data analysis focuses on understanding the number of samples needed for answering a sequence of adaptive queries. We revisit previous lower bounds at a foundational level, and show that they are a consequence of a space bottleneck rather than a sampling bottleneck. To obtain our results, we define and construct an encryption scheme with multiple keys that is built to withstand a limited amount of key leakage in a very particular way.

Original languageEnglish
Title of host publicationAdvances in Cryptology – EUROCRYPT 2023 - 42nd Annual International Conference on the Theory and Applications of Cryptographic Techniques, 2023, Proceedings
EditorsCarmit Hazay, Martijn Stam
PublisherSpringer Science and Business Media Deutschland GmbH
Pages35-65
Number of pages31
ISBN (Print)9783031306198
DOIs
StatePublished - 2023
Event42nd Annual International Conference on Theory and Applications of Cryptographic Techniques, EUROCRYPT 2023 - Lyon, France
Duration: 23 Apr 202327 Apr 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume14006 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference42nd Annual International Conference on Theory and Applications of Cryptographic Techniques, EUROCRYPT 2023
Country/TerritoryFrance
CityLyon
Period23/04/2327/04/23

Funding

FundersFunder number
National Science FoundationCCF-1815840
Carnegie Mellon University
Blavatnik Family Foundation
European Research Council757731, 1871/19
Israel Science Foundation1903/20

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