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We prove new upper and lower bounds on the sample complexity of $(\epsilon, \delta)$ differentially private algorithms for releasing approximate answers to threshold functions. A threshold function $c_x$ over a totally ordered domain $X$…

Cryptography and Security · Computer Science 2024-12-23 Mark Bun , Kobbi Nissim , Uri Stemmer , Salil Vadhan

Differential privacy for the 2020 census required an estimated 90 terabytes of randomness [GL20], an amount which may be prohibitively expensive or entirely infeasible to generate. Motivated by these practical concerns, [CSV25] initiated…

Cryptography and Security · Computer Science 2025-10-22 Surendra Ghentiyala

We present new theoretical results on differentially private data release useful with respect to any target class of counting queries, coupled with experimental results on a variety of real world data sets. Specifically, we study a simple…

Data Structures and Algorithms · Computer Science 2012-03-16 Moritz Hardt , Katrina Ligett , Frank McSherry

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 introduce general tools for designing efficient private estimation algorithms, in the high-dimensional settings, whose statistical guarantees almost match those of the best known non-private algorithms. To illustrate our techniques, we…

Data Structures and Algorithms · Computer Science 2023-11-17 Hongjie Chen , Vincent Cohen-Addad , Tommaso d'Orsi , Alessandro Epasto , Jacob Imola , David Steurer , Stefan Tiegel

We revisit the input perturbations framework for differential privacy where noise is added to the input $A\in \mathcal{S}$ and the result is then projected back to the space of admissible datasets $\mathcal{S}$. Through this framework, we…

Machine Learning · Computer Science 2024-08-09 Vincent Cohen-Addad , Tommaso d'Orsi , Alessandro Epasto , Vahab Mirrokni , Peilin Zhong

Releasing the result size of conjunctive queries and graph pattern queries under differential privacy (DP) has received considerable attention in the literature, but existing solutions do not offer any optimality guarantees. We provide the…

Databases · Computer Science 2021-12-28 Wei Dong , Ke Yi

Numerical linear algebra plays an important role in computer science. In this paper, we initiate the study of performing linear algebraic tasks while preserving privacy when the data is streamed online. Our main focus is the space…

Data Structures and Algorithms · Computer Science 2017-10-26 Jalaj Upadhyay

We study the top-$k$ selection problem under the differential privacy model: $m$ items are rated according to votes of a set of clients. We consider a setting in which algorithms can retrieve data via a sequence of accesses, each either a…

Cryptography and Security · Computer Science 2023-05-31 Hao Wu , Olga Ohrimenko , Anthony Wirth

We study the problem of estimating $k$-ary distributions under $\varepsilon$-local differential privacy. $n$ samples are distributed across users who send privatized versions of their sample to a central server. All previously known sample…

Machine Learning · Computer Science 2018-06-29 Jayadev Acharya , Ziteng Sun , Huanyu Zhang

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

Machine Learning · Computer Science 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

In this work we study the problem of differentially private (DP) quantiles, in which given dataset $X$ and quantiles $q_1, ..., q_m \in [0,1]$, we want to output $m$ quantile estimations which are as close as possible to the true quantiles…

Machine Learning · Computer Science 2021-10-12 Haim Kaplan , Shachar Schnapp , Uri Stemmer

Consider the following problem: given a metric space, some of whose points are "clients", open a set of at most $k$ facilities to minimize the average distance from the clients to these facilities. This is just the well-studied $k$-median…

Data Structures and Algorithms · Computer Science 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar

Finding min $s$-$t$ cuts in graphs is a basic algorithmic tool with applications in image segmentation, community detection, reinforcement learning, and data clustering. In this problem, we are given two nodes as terminals, and the goal is…

Data Structures and Algorithms · Computer Science 2023-12-29 Mina Dalirrooyfard , Slobodan Mitrović , Yuriy Nevmyvaka

We introduce an automata model for describing interesting classes of differential privacy mechanisms/algorithms that include known mechanisms from the literature. These automata can model algorithms whose inputs can be an unbounded sequence…

Cryptography and Security · Computer Science 2021-04-30 Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

In the approximate quantiles problem, the goal is to output $m$ quantile estimates, the ranks of which are as close as possible to $m$ given quantiles $0 \leq q_1 \leq\dots \leq q_m \leq 1$. We present a mechanism for approximate quantiles…

Data Structures and Algorithms · Computer Science 2025-12-15 Jacob Imola , Fabrizio Boninsegna , Hannah Keller , Anders Aamand , Amrita Roy Chowdhury , Rasmus Pagh

The problem of counting subgraphs or graphlets under local differential privacy is an important challenge that has attracted significant attention from researchers. However, much of the existing work focuses on small graphlets like…

Social and Information Networks · Computer Science 2025-05-20 Vorapong Suppakitpaisarn , Donlapark Ponnoprat , Nicha Hirankarn , Quentin Hillebrand

In this paper, we study the problem of publishing a stream of real-valued data satisfying differential privacy (DP). One major challenge is that the maximal possible value can be quite large; thus it is necessary to estimate a threshold so…

Cryptography and Security · Computer Science 2023-12-11 Tianhao Wang , Joann Qiongna Chen , Zhikun Zhang , Dong Su , Yueqiang Cheng , Zhou Li , Ninghui Li , Somesh Jha

We present a polynomial-time algorithm for online differentially private synthetic data generation. For a data stream within the hypercube $[0,1]^d$ and an infinite time horizon, we develop an online algorithm that generates a…

Statistics Theory · Mathematics 2024-10-31 Yiyun He , Roman Vershynin , Yizhe Zhu

Differential privacy (DP), provides a framework for provable privacy protection against arbitrary adversaries, while allowing the release of summary statistics and synthetic data. We address the problem of releasing a noisy real-valued…

Methodology · Statistics 2024-11-04 Jordan Awan , Aleksandra Slavkovic
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