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The turnstile continual release model of differential privacy captures scenarios where a privacy-preserving real-time analysis is sought for a dataset evolving through additions and deletions. In typical applications of real-time data…

Data Structures and Algorithms · Computer Science 2025-05-30 Rachel Cummings , Alessandro Epasto , Jieming Mao , Tamalika Mukherjee , Tingting Ou , Peilin Zhong

Estimating frequencies of certain items among a population is a basic step in data analytics, which enables more advanced data analytics (e.g., heavy hitter identification, frequent pattern mining), client software optimization, and…

Cryptography and Security · Computer Science 2018-12-12 Jinyuan Jia , Neil Zhenqiang Gong

We present an algorithm that releases a pure differentially private (under the replacement neighboring relation) sparse histogram for $n$ participants over a domain of size $d \gg n$. Our method achieves the optimal $\ell_\infty$-estimation…

Data Structures and Algorithms · Computer Science 2025-12-25 Florian Kerschbaum , Steven Lee , Hao Wu

We study the problem of locally private mean estimation of high-dimensional vectors in the Euclidean ball. Existing algorithms for this problem either incur sub-optimal error or have high communication and/or run-time complexity. We propose…

Machine Learning · Computer Science 2023-06-28 Hilal Asi , Vitaly Feldman , Jelani Nelson , Huy L. Nguyen , Kunal Talwar

In the \emph{shuffle model} of differential privacy, data-holding users send randomized messages to a secure shuffler, the shuffler permutes the messages, and the resulting collection of messages must be differentially private with regard…

Cryptography and Security · Computer Science 2020-08-13 Victor Balcer , Albert Cheu , Matthew Joseph , Jieming Mao

There are now several large scale deployments of differential privacy used to collect statistical information about users. However, these deployments periodically recollect the data and recompute the statistics using algorithms designed for…

Machine Learning · Computer Science 2018-11-21 Matthew Joseph , Aaron Roth , Jonathan Ullman , Bo Waggoner

Distributed stochastic gradient descent is an important subroutine in distributed learning. A setting of particular interest is when the clients are mobile devices, where two important concerns are communication efficiency and the privacy…

Machine Learning · Statistics 2018-05-29 Naman Agarwal , Ananda Theertha Suresh , Felix Yu , Sanjiv Kumar , H. Brendan Mcmahan

We show new lower bounds on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer large sets of counting queries. A counting query on a database $D \in (\{0,1\}^d)^n$ has the form "What…

Cryptography and Security · Computer Science 2018-10-25 Mark Bun , Jonathan Ullman , Salil Vadhan

Given a dataset of $n$ user-contributed strings, each of length at most $\ell$, a key problem is how to identify all frequent substrings while preserving each user's privacy. Recent work by Bernardini et al. (PODS'25) introduced a…

Data Structures and Algorithms · Computer Science 2026-03-11 Peaker Guo , Rayne Holland , Hao Wu

We prove a tight lower bound (up to constant factors) on the sample complexity of any non-interactive local differentially private protocol for optimizing a linear function over the simplex. This lower bound also implies a tight lower bound…

Cryptography and Security · Computer Science 2021-05-17 Jonathan Ullman

We consider the problem of designing scalable, robust protocols for computing statistics about sensitive data. Specifically, we look at how best to design differentially private protocols in a distributed setting, where each user holds a…

Cryptography and Security · Computer Science 2019-05-20 Albert Cheu , Adam Smith , Jonathan Ullman , David Zeber , Maxim Zhilyaev

Sketches are widely used for frequency estimation of data with a large domain. However, sketches-based frequency estimation faces more challenges when considering privacy. Local differential privacy (LDP) is a solution to frequency…

Cryptography and Security · Computer Science 2022-11-22 Meifan Zhang , Sixin Lin , Lihua Yin

In this work, we introduce a new approach for statistical quantification of differential privacy in a black box setting. We present estimators and confidence intervals for the optimal privacy parameter of a randomized algorithm $A$, as well…

Cryptography and Security · Computer Science 2022-05-03 Önder Askin , Tim Kutta , Holger Dette

We investigate a problem of finding the minimum, in which each user has a real value and we want to estimate the minimum of these values under the local differential privacy constraint. We reveal that this problem is fundamentally…

Statistics Theory · Mathematics 2019-05-28 Kazuto Fukuchi , Chia-Mu Yu , Arashi Haishima , Jun Sakuma

Privacy preservation has become a critical concern in high-dimensional data analysis due to the growing prevalence of data-driven applications. Since its proposal, sliced inverse regression has emerged as a widely utilized statistical…

Machine Learning · Statistics 2025-04-08 Xintao Xia , Linjun Zhang , Zhanrui Cai

Protocols satisfying Local Differential Privacy (LDP) enable parties to collect aggregate information about a population while protecting each user's privacy, without relying on a trusted third party. LDP protocols (such as Google's RAPPOR)…

Cryptography and Security · Computer Science 2017-05-16 Tianhao Wang , Jeremiah Blocki , Ninghui Li , Somesh Jha

Local Differential Privacy (LDP) protects user privacy from the data collector. LDP protocols have been increasingly deployed in the industry. A basic building block is frequency oracle (FO) protocols, which estimate frequencies of values.…

Cryptography and Security · Computer Science 2020-01-31 Tianhao Wang , Milan Lopuhaä-Zwakenberg , Zitao Li , Boris Skoric , Ninghui Li

Differential privacy is the de-facto privacy standard in data analysis. The classic model of differential privacy considers the data to be static. The dynamic setting, called differential privacy under continual observation, captures many…

Data Structures and Algorithms · Computer Science 2023-06-21 Monika Henzinger , A. R. Sricharan , Teresa Anna Steiner

We consider the problem of designing and analyzing differentially private algorithms that can be implemented on {\em discrete} models of computation in {\em strict} polynomial time, motivated by known attacks on floating point…

Data Structures and Algorithms · Computer Science 2019-01-18 Victor Balcer , Salil Vadhan

We investigate differentially private estimators for individual parameters within larger parametric models. While generic private estimators exist, the estimators we provide repose on new local notions of estimand stability, and these…

Machine Learning · Computer Science 2025-03-24 Hilal Asi , John C. Duchi , Kunal Talwar