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Differential privacy is a de facto standard for statistical computations over databases that contain private data. The strength of differential privacy lies in a rigorous mathematical definition that guarantees individual privacy and yet…

Cryptography and Security · Computer Science 2020-05-05 Gilles Barthe , Rohit Chadha , Vishal Jagannath , A. Prasad Sistla , Mahesh Viswanathan

The algorithmic tasks of computing the Hamming distance between a given pattern of length $m$ and each location in a text of length $n$ is one of the most fundamental algorithmic tasks in string algorithms. Unfortunately, there is evidence…

Data Structures and Algorithms · Computer Science 2015-12-15 Tsvi Kopelowitz , Ely Porat

Differential privacy has recently emerged as the de facto standard for private data release. This makes it possible to provide strong theoretical guarantees on the privacy and utility of released data. While it is well-known how to release…

Databases · Computer Science 2012-03-14 Graham Cormode , Magda Procopiuc , Entong Shen , Divesh Srivastava , Ting Yu

With the growth of online social services, social information graphs are becoming increasingly complex. Privacy issues related to analyzing or publishing on social graphs are also becoming increasingly serious. Since the shortest paths play…

Cryptography and Security · Computer Science 2025-01-15 Weihong Sheng , Jiajun Chen , Chunqiang Hu , Bin Cai , Meng Han , Jiguo Yu

We study person-level differentially private (DP) mean estimation in the case where each person holds multiple samples. DP here requires the usual notion of distributional stability when $\textit{all}$ of a person's datapoints can be…

Data Structures and Algorithms · Computer Science 2024-07-22 Sushant Agarwal , Gautam Kamath , Mahbod Majid , Argyris Mouzakis , Rose Silver , Jonathan Ullman

We study the problem of performing counting queries at different levels in hierarchical structures while preserving individuals' privacy. Motivated by applications, we propose a new error measure for this problem by considering a…

Data Structures and Algorithms · Computer Science 2023-04-28 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Kewen Wu

In this work, we study trade-offs between accuracy and privacy in the context of linear queries over histograms. This is a rich class of queries that includes contingency tables and range queries, and has been a focus of a long line of…

Data Structures and Algorithms · Computer Science 2013-08-05 Aleksandar Nikolov , Kunal Talwar , Li Zhang

We study the problem of differentially private (DP) mechanisms for representing sets of size $k$ from a large universe. Our first construction creates $(\epsilon,\delta)$-DP representations with error probability of $1/(e^\epsilon + 1)$…

Cryptography and Security · Computer Science 2025-07-23 Sarvar Patel , Giuseppe Persiano , Joon Young Seo , Kevin Yeo

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

Data Structures and Algorithms · Computer Science 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

New regulations and increased awareness of data privacy have led to the deployment of new and more efficient differentially private mechanisms across public institutions and industries. Ensuring the correctness of these mechanisms is…

Cryptography and Security · Computer Science 2023-12-20 William Kong , Andrés Muñoz Medina , Mónica Ribero , Umar Syed

Many methods in differentially private model training rely on computing the similarity between a query point (such as public or synthetic data) and private data. We abstract out this common subroutine and study the following fundamental…

Cryptography and Security · Computer Science 2024-03-15 Arturs Backurs , Zinan Lin , Sepideh Mahabadi , Sandeep Silwal , Jakub Tarnawski

Metric Differential Privacy (mDP) extends the concept of Differential Privacy (DP) to serve as a new paradigm of data perturbation. It is designed to protect secret data represented in general metric space, such as text data encoded as word…

Artificial Intelligence · Computer Science 2024-05-10 Chenxi Qiu

Differential privacy is a recent notion of privacy for statistical databases that provides rigorous, meaningful confidentiality guarantees, even in the presence of an attacker with access to arbitrary side information. We show that for a…

Cryptography and Security · Computer Science 2008-09-30 Adam Smith

This work considers computationally efficient privacy-preserving data release. We study the task of analyzing a database containing sensitive information about individual participants. Given a set of statistical queries on the data, we want…

Computational Complexity · Computer Science 2011-07-14 Moritz Hardt , Guy N. Rothblum , Rocco A. Servedio

Differential privacy (DP) provides rigorous privacy guarantees on individual's data while also allowing for accurate statistics to be conducted on the overall, sensitive dataset. To design a private system, first private algorithms must be…

Cryptography and Security · Computer Science 2020-11-19 Mark Cesar , Ryan Rogers

Differential privacy is a widely studied notion of privacy for various models of computation. Technically, it is based on measuring differences between probability distributions. We study $\epsilon,\delta$-differential privacy in the…

Formal Languages and Automata Theory · Computer Science 2020-07-16 Dmitry Chistikov , Andrzej S. Murawski , David Purser

In this work we describe the High-Dimensional Matrix Mechanism (HDMM), a differentially private algorithm for answering a workload of predicate counting queries. HDMM represents query workloads using a compact implicit matrix representation…

Databases · Computer Science 2021-06-24 Ryan McKenna , Gerome Miklau , Michael Hay , Ashwin Machanavajjhala

Differential privacy (DP) is a privacy-preserving paradigm that protects the training data when training deep learning models. Critically, the performance of models is determined by the training hyperparameters, especially those of the…

Machine Learning · Computer Science 2025-03-04 Zhiqi Bu , Ruixuan Liu

We describe a new algorithm for answering a given set of range queries under $\epsilon$-differential privacy which often achieves substantially lower error than competing methods. Our algorithm satisfies differential privacy by adding noise…

Databases · Computer Science 2014-10-02 Chao Li , Michael Hay , Gerome Miklau , Yue Wang

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