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Voting plays a central role in bringing crowd wisdom to collective decision making, meanwhile data privacy has been a common ethical/legal issue in eliciting preferences from individuals. This work studies the problem of aggregating…

Cryptography and Security · Computer Science 2019-08-15 Shaowei Wang , Jiachun Du , Wei Yang , Xinrong Diao , Zichun Liu , Yiwen Nie , Liusheng Huang , Hongli Xu

We study elliptical distributions in locally convex vector spaces, and determine conditions when they can or cannot be used to satisfy differential privacy (DP). A requisite condition for a sanitized statistical summary to satisfy DP is…

Cryptography and Security · Computer Science 2021-05-06 Matthew Reimherr , Jordan Awan

The randomized power method has gained significant interest due to its simplicity and efficient handling of large-scale spectral analysis and recommendation tasks. However, its application to large datasets containing personal information…

Machine Learning · Computer Science 2025-06-13 Julien Nicolas , César Sabater , Mohamed Maouche , Sonia Ben Mokhtar , Mark Coates

Integer data is typically made differentially private by adding noise from a Discrete Laplace (or Discrete Gaussian) distribution. We study the setting where differential privacy of a counting query is achieved using bit-wise randomized…

Information Theory · Computer Science 2023-11-17 David Rasmussen Lolck , Rasmus Pagh

We study the problem of discrete distribution estimation under utility-optimized local differential privacy (ULDP), which enforces local differential privacy (LDP) on sensitive data while allowing more accurate inference on non-sensitive…

Cryptography and Security · Computer Science 2025-09-30 Sun-Moon Yoon , Hyun-Young Park , Seung-Hyun Nam , Si-Hyeon Lee

How to achieve differential privacy in the distributed setting, where the dataset is distributed among the distrustful parties, is an important problem. We consider in what condition can a protocol inherit the differential privacy property…

Cryptography and Security · Computer Science 2017-04-06 Genqiang Wu , Yeping He , Jingzheng Wu , Xianyao Xia

We present an asymptotically optimal $(\epsilon,\delta)$ differentially private mechanism for answering multiple, adaptively asked, $\Delta$-sensitive queries, settling the conjecture of Steinke and Ullman [2020]. Our algorithm has a…

Data Structures and Algorithms · Computer Science 2021-11-09 Yuval Dagan , Gil Kur

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

LDP (Local Differential Privacy) has been widely studied to estimate statistics of personal data (e.g., distribution underlying the data) while protecting users' privacy. Although LDP does not require a trusted third party, it regards all…

Databases · Computer Science 2019-05-28 Takao Murakami , Yusuke Kawamoto

Directly releasing those data raises privacy and liability (e.g., due to unauthorized distribution of such datasets) concerns since location data contain users' sensitive information, e.g., regular moving patterns and favorite spots. To…

Cryptography and Security · Computer Science 2023-04-25 Yuzhou Jiang , Emre Yilmaz , Erman Ayday

Distributed data analysis is a large and growing field driven by a massive proliferation of user devices, and by privacy concerns surrounding the centralised storage of data. We consider two \emph{adaptive} algorithms for estimating one…

Cryptography and Security · Computer Science 2025-02-06 Anders Aamand , Fabrizio Boninsegna , Abigail Gentle , Jacob Imola , Rasmus Pagh

The Gaussian mechanism is an essential building block used in multitude of differentially private data analysis algorithms. In this paper we revisit the Gaussian mechanism and show that the original analysis has several important…

Machine Learning · Computer Science 2018-06-08 Borja Balle , Yu-Xiang Wang

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

Representing a sparse histogram, or more generally a sparse vector, is a fundamental task in differential privacy. An ideal solution would use space close to information-theoretical lower bounds, have an error distribution that depends…

Cryptography and Security · Computer Science 2021-09-28 Martin Aumüller , Christian Janos Lebeda , Rasmus Pagh

Data privacy is an important concern in learning, when datasets contain sensitive information about individuals. This paper considers consensus-based distributed optimization under data privacy constraints. Consensus-based optimization…

Machine Learning · Computer Science 2019-03-20 Mehrdad Showkatbakhsh , Can Karakus , Suhas Diggavi

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

Privacy concerns with sensitive data are receiving increasing attention. In this paper, we study local differential privacy (LDP) in interactive decentralized optimization. By constructing random local aggregators, we propose a framework to…

Optimization and Control · Mathematics 2019-06-04 Hanshen Xiao , Yu Ye , Srinivas Devadas

It is common for data structures such as images and shapes of 2D objects to be represented as points on a manifold. The utility of a mechanism to produce sanitized differentially private estimates from such data is intimately linked to how…

Machine Learning · Statistics 2022-09-27 Carlos Soto , Karthik Bharath , Matthew Reimherr , Aleksandra Slavkovic

We analyze the privacy guarantees of the Laplace mechanism releasing the histogram of a dataset through the lens of pointwise maximal leakage (PML). While differential privacy is commonly used to quantify the privacy loss, it is a…

Cryptography and Security · Computer Science 2025-08-27 Sara Saeidian , Ata Yavuzyılmaz , Leonhard Grosse , Georg Schuppe , Tobias J. Oechtering

In this paper we study the implementation challenge in an abstract interdependent values model and an arbitrary objective function. We design a mechanism that allows for approximate optimal implementation of insensitive objective functions…

Computer Science and Game Theory · Computer Science 2015-03-14 Kobbi Nissim , Rann Smorodinsky , Moshe Tennenholtz