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Consider a database of $n$ people, each represented by a bit-string of length $d$ corresponding to the setting of $d$ binary attributes. A $k$-way marginal query is specified by a subset $S$ of $k$ attributes, and a $|S|$-dimensional binary…

Data Structures and Algorithms · Computer Science 2013-08-07 Cynthia Dwork , Aleksandar Nikolov , Kunal Talwar

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

We present three new algorithms for constructing differentially private synthetic data---a sanitized version of a sensitive dataset that approximately preserves the answers to a large collection of statistical queries. All three algorithms…

Machine Learning · Computer Science 2020-07-13 Giuseppe Vietri , Grace Tian , Mark Bun , Thomas Steinke , Zhiwei Steven Wu

We address the problem of synthesizing distorting mechanisms that maximize privacy of stochastic dynamical systems. Information about the system state is obtained through sensor measurements. This data is transmitted to a remote station…

Cryptography and Security · Computer Science 2021-08-05 Haleh Hayati , Carlos Murguia , Nathan van de Wouw

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

Differential privacy (DP) is increasingly used to protect the release of hierarchical, tabular population data, such as census data. A common approach for implementing DP in this setting is to release noisy responses to a predefined set of…

Cryptography and Security · Computer Science 2024-04-03 Aadyaa Maddi , Swadhin Routray , Alexander Goldberg , Giulia Fanti

Differential privacy is a promising privacy-preserving paradigm for statistical query processing over sensitive data. It works by injecting random noise into each query result, such that it is provably hard for the adversary to infer the…

Databases · Computer Science 2012-12-12 Ganzhao Yuan , Zhenjie Zhang , Marianne Winslett , Xiaokui Xiao , Yin Yang , Zhifeng Hao

In this manuscript, we provide a set of tools (in terms of semidefinite programs) to synthesize Gaussian mechanisms to maximize privacy of databases. Information about the database is disclosed through queries requested by (potentially)…

Systems and Control · Electrical Eng. & Systems 2022-03-30 Haleh Hayati , Carlos Murguia , Nathan van de Wouw

We show a new lower bound on the sample complexity of $(\varepsilon, \delta)$-differentially private algorithms that accurately answer statistical queries on high-dimensional databases. The novelty of our bound is that it depends optimally…

Data Structures and Algorithms · Computer Science 2015-01-27 Thomas Steinke , Jonathan Ullman

While differentially private synthetic data generation has been explored extensively in the literature, how to update this data in the future if the underlying private data changes is much less understood. We propose an algorithmic…

Cryptography and Security · Computer Science 2024-09-04 Girish Kumar , Thomas Strohmer , Roman Vershynin

The sensitivity metric in differential privacy, which is informally defined as the largest marginal change in output between neighboring databases, is of substantial significance in determining the accuracy of private data analyses.…

Data Structures and Algorithms · Computer Science 2019-01-24 Rachel Cummings , David Durfee

As organizations struggle with processing vast amounts of information, outsourcing sensitive data to third parties becomes a necessity. To protect the data, various cryptographic techniques are used in outsourced database systems to ensure…

Cryptography and Security · Computer Science 2021-09-29 Dmytro Bogatov , Georgios Kellaris , George Kollios , Kobbi Nissim , Adam O'Neill

We present a practical, differentially private algorithm for answering a large number of queries on high dimensional datasets. Like all algorithms for this task, ours necessarily has worst-case complexity exponential in the dimension of the…

Data Structures and Algorithms · Computer Science 2018-03-16 Marco Gaboardi , Emilio Jesús Gallego Arias , Justin Hsu , Aaron Roth , Zhiwei Steven Wu

We give new mechanisms for answering exponentially many queries from multiple analysts on a private database, while protecting differential privacy both for the individuals in the database and for the analysts. That is, our mechanism's…

Data Structures and Algorithms · Computer Science 2018-03-16 Justin Hsu , Aaron Roth , Jonathan Ullman

In this paper, we consider the problem of responding to a count query (or any other integer-valued queries) evaluated on a dataset containing sensitive attributes. To protect the privacy of individuals in the dataset, a standard practice is…

Information Theory · Computer Science 2020-07-21 Parastoo Sadeghi , Shahab Asoodeh , Flavio du Pin Calmon

Numerical vector aggregation plays a crucial role in privacy-sensitive applications, such as distributed gradient estimation in federated learning and statistical analysis of key-value data. In the context of local differential privacy,…

Cryptography and Security · Computer Science 2023-04-11 Shaowei Wang , Jin Li , Yuntong Li , Jin Li , Wei Yang , Hongyang Yan

Differentially private data generation techniques have become a promising solution to the data privacy challenge -- it enables sharing of data while complying with rigorous privacy guarantees, which is essential for scientific progress in…

Cryptography and Security · Computer Science 2022-11-09 Dingfan Chen , Raouf Kerkouche , Mario Fritz

We propose a novel mechanism for answering sets of count- ing queries under differential privacy. Given a workload of counting queries, the mechanism automatically selects a different set of "strategy" queries to answer privately, using…

Databases · Computer Science 2012-02-20 Chao Li , Gerome Miklau

The problem of privately releasing data is to provide a version of a dataset without revealing sensitive information about the individuals who contribute to the data. The model of differential privacy allows such private release while…

Databases · Computer Science 2011-03-07 Graham Cormode , Magda Procopiuc , Divesh Srivastava , Thanh T. L. Tran

The streaming model of computation is a popular approach for working with large-scale data. In this setting, there is a stream of items and the goal is to compute the desired quantities (usually data statistics) while making a single pass…

Data Structures and Algorithms · Computer Science 2023-01-16 Alessandro Epasto , Jieming Mao , Andres Munoz Medina , Vahab Mirrokni , Sergei Vassilvitskii , Peilin Zhong