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Many resource allocation problems can be formulated as an optimization problem whose constraints contain sensitive information about participating users. This paper concerns solving this kind of optimization problem in a distributed manner…

Optimization and Control · Mathematics 2016-11-17 Shuo Han , Ufuk Topcu , George J. Pappas

Many machine learning applications are based on data collected from people, such as their tastes and behaviour as well as biological traits and genetic data. Regardless of how important the application might be, one has to make sure…

Machine Learning · Statistics 2017-04-11 Joonas Jälkö , Onur Dikmen , Antti Honkela

Differential privacy is a framework for privately releasing summaries of a database. Previous work has focused mainly on methods for which the output is a finite dimensional vector, or an element of some discrete set. We develop methods for…

Machine Learning · Statistics 2012-03-13 Rob Hall , Alessandro Rinaldo , Larry Wasserman

Differential privacy is a popular privacy model within the research community because of the strong privacy guarantee it offers, namely that the presence or absence of any individual in a data set does not significantly influence the…

Cryptography and Security · Computer Science 2017-02-09 Jordi Soria-Comas , Josep Domingo-Ferrer , David Sánchez , David Megías

In differential privacy, random noise is introduced to privatize summary statistics of a sensitive dataset before releasing them. The noise level determines the privacy loss, which quantifies how easily an adversary can detect a target…

Statistics Theory · Mathematics 2026-02-24 Youngjoo Yun , Rishabh Dudeja

With the development of machine learning, it is difficult for a single server to process all the data. So machine learning tasks need to be spread across multiple servers, turning the centralized machine learning into a distributed one.…

Cryptography and Security · Computer Science 2022-05-13 Zoe L. Jiang , Jiajing Gu , Hongxiao Wang , Yulin Wu , Junbin Fang , Siu-Ming Yiu , Wenjian Luo , Xuan Wang

We consider a distributed function computation problem in which parties observing noisy versions of a remote source facilitate the computation of a function of their observations at a fusion center through public communication. The…

Information Theory · Computer Science 2022-03-30 Onur Günlü , Matthieu Bloch , Rafael F. Schaefer

Differential privacy is a cryptographically-motivated approach to privacy that has become a very active field of research over the last decade in theoretical computer science and machine learning. In this paradigm one assumes there is a…

Machine Learning · Computer Science 2023-08-02 Marco Avella-Medina

We introduce the multi-dimensional Skellam mechanism, a discrete differential privacy mechanism based on the difference of two independent Poisson random variables. To quantify its privacy guarantees, we analyze the privacy loss…

Machine Learning · Computer Science 2021-11-01 Naman Agarwal , Peter Kairouz , Ziyu Liu

Concern about how to aggregate sensitive user data without compromising individual privacy is a major barrier to greater availability of data. The model of differential privacy has emerged as an accepted model to release sensitive…

Databases · Computer Science 2017-10-03 Graham Cormode , Tejas Kulkarni , Divesh Srivastava

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

In many real-world applications of machine learning, data are distributed across many clients and cannot leave the devices they are stored on. Furthermore, each client's data, computational resources and communication constraints may be…

Machine Learning · Statistics 2019-12-02 Mrinank Sharma , Michael Hutchinson , Siddharth Swaroop , Antti Honkela , Richard E. Turner

Local differential privacy is a promising privacy-preserving model for statistical aggregation of user data that prevents user privacy leakage from the data aggregator. This paper focuses on the problem of estimating the distribution of…

Cryptography and Security · Computer Science 2021-02-26 Ba Dung Le , Tanveer Zia

Convex programming with linear constraints plays an important role in the operation of a number of everyday systems. However, absent any additional protections, revealing or acting on the solutions to such problems may reveal information…

Optimization and Control · Mathematics 2024-09-16 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

A commonly used method to protect user privacy in data collection is to perform randomized perturbation on user's real data before collection so that aggregated statistics can still be inferred without endangering secrets held by…

Social and Information Networks · Computer Science 2019-09-04 Aria Rezaei , Jie Gao

Distributed quantum sensing enables the estimation of multiple parameters encoded in spatially separated probes. While traditional quantum sensing is often focused on estimating a single parameter with maximum precision, distributed quantum…

Quantum Physics · Physics 2025-01-27 Luís Bugalho , Majid Hassani , Yasser Omar , Damian Markham

We propose new differential privacy solutions for when external \emph{invariants} and \emph{integer} constraints are simultaneously enforced on the data product. These requirements arise in real world applications of private data curation,…

Cryptography and Security · Computer Science 2022-12-05 Prathamesh Dharangutte , Jie Gao , Ruobin Gong , Fang-Yi Yu

In this paper, we address the problem of secure distributed computation in scenarios where user data is not uniformly distributed, extending existing frameworks that assume uniformity, an assumption that is challenging to enforce in data…

Information Theory · Computer Science 2025-01-28 Saar Tarnopolsky , Zirui , Deng , Vinayak Ramkumar , Netanel Raviv , Alejandro Cohen

In distributed optimization, multiple parties collaborate to find an optimal solution to a problem. Privacy-preserving distributed optimization uses techniques, such as secure multi-party computation (MPC), to protect the private inputs of…

Neural and Evolutionary Computing · Computer Science 2026-05-21 Sebastian Gruber , Tobias Harzfeld , Christoph G. Schuetz , Florian Wohner , Thomas Lorünser

Sharing and working on sensitive data in distributed settings from healthcare to finance is a major challenge due to security and privacy concerns. Secure multiparty computation (SMC) is a viable panacea for this, allowing distributed…

Cryptography and Security · Computer Science 2017-07-07 Abbas Acar , Z. Berkay Celik , Hidayet Aksu , A. Selcuk Uluagac , Patrick McDaniel