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We present an optimization framework for solving multi-agent nonlinear programs subject to inequality constraints while keeping the agents' state trajectories private. Each agent has an objective function depending only upon its own state…

Optimization and Control · Mathematics 2016-08-03 Matthew Hale , Magnus Egerstedt

Optimal Power Flow (OPF) is a fundamental problem in power systems. It is computationally challenging and a recent line of research has proposed the use of Deep Neural Networks (DNNs) to find OPF approximations at vastly reduced runtimes…

Machine Learning · Computer Science 2021-11-23 My H. Dinh , Ferdinando Fioretto , Mostafa Mohammadian , Kyri Baker

How much data is needed to optimally schedule distributed energy resources (DERs)? Does the distribution system operator (DSO) have to know load demands at each bus of the feeder to solve an optimal power flow (OPF)? This work exploits…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Vassilis Kekatos , Ridley Annin , Manish K. Singh , Junjie Qin

Large organizations that collect data about populations (like the US Census Bureau) release summary statistics that are used by multiple stakeholders for resource allocation and policy making problems. These organizations are also legally…

Databases · Computer Science 2021-11-08 David Pujol , Yikai Wu , Brandon Fain , Ashwin Machanavajjhala

In this paper, we present a comprehensive framework for differential privacy over affine manifolds and validate its usefulness in the contexts of differentially private cloud-based control and average consensus. We consider differential…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Zihao Ren , Lei Wang , Deming Yuan , Guodong Shi

Differential Privacy (DP) considers a scenario in which an adversary has almost complete information about the entries of a database. This worst-case assumption is likely to overestimate the privacy threat faced by an individual in…

Cryptography and Security · Computer Science 2026-02-11 Dennis Breutigam , Rüdiger Reischuk

Distributed data sharing in dynamic networks is ubiquitous. It raises the concern that the private information of dynamic networks could be leaked when data receivers are malicious or communication channels are insecure. In this paper, we…

Optimization and Control · Mathematics 2019-12-18 Yang Lu , Minghui Zhu

We generalize a previous framework for designing utility-optimal differentially private (DP) mechanisms via graphs, where datasets are vertices in the graph and edges represent dataset neighborhood. The boundary set contains datasets where…

Data Structures and Algorithms · Computer Science 2022-03-30 Sahel Torkamani , Javad B. Ebrahimi , Parastoo Sadeghi , Rafael G. L. D'Oliveira , Muriel Medard

We study how to release summary statistics on a data stream subject to the constraint of differential privacy. In particular, we focus on releasing the family of symmetric norms, which are invariant under sign-flips and coordinate-wise…

Data Structures and Algorithms · Computer Science 2023-07-11 Vladimir Braverman , Joel Manning , Zhiwei Steven Wu , Samson Zhou

As multi-agent systems proliferate, there is increasing demand for coordination protocols that protect agents' sensitive information while allowing them to collaborate. To help address this need, this paper presents a differentially private…

Optimization and Control · Mathematics 2020-09-15 Calvin Hawkins , Matthew Hale

The objective of differential privacy (DP) is to protect privacy by producing an output distribution that is indistinguishable between any two neighboring databases. However, traditional differentially private mechanisms tend to produce…

Cryptography and Security · Computer Science 2023-11-07 Kai Zhang , Yanjun Zhang , Ruoxi Sun , Pei-Wei Tsai , Muneeb Ul Hassan , Xin Yuan , Minhui Xue , Jinjun Chen

This paper considers privacy-concerned distributed constraint-coupled resource allocation problems over an undirected network, where each agent holds a private cost function and obtains the solution via only local communication. With…

Optimization and Control · Mathematics 2025-06-05 Wenwen Wu , Shanying Zhu , Shuai Liu , Xinping Guan

Dynamic models of power systems are critical for analyzing grid response to disturbances and blackouts, but the release of real-world dynamic models is hindered by privacy and cybersecurity concerns, as such models carry sensitive…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Shengyang Wu , Vladimir Dvorkin

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

Being able to release and exploit open data gathered in information systems is crucial for researchers, enterprises and the overall society. Yet, these data must be anonymized before release to protect the privacy of the subjects to whom…

Cryptography and Security · Computer Science 2015-12-17 David Sánchez , Josep Domingo-Ferrer , Sergio Martínez , Jordi Soria-Comas

This paper develops a novel differentially private framework to solve convex optimization problems with sensitive optimization data and complex physical or operational constraints. Unlike standard noise-additive algorithms, that act…

Cryptography and Security · Computer Science 2020-06-23 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

A privacy-utility tradeoff is developed for an arbitrary set of finite-alphabet source distributions. Privacy is quantified using differential privacy (DP), and utility is quantified using expected Hamming distortion maximized over the set…

Information Theory · Computer Science 2018-08-02 Kousha Kalantari , Lalitha Sankar , Anand Sarwate

Data about individuals may contain private and sensitive information. The differential privacy (DP) was proposed to address the problem of protecting the privacy of each individual while keeping useful information about a population.…

Data Structures and Algorithms · Computer Science 2022-04-27 Chenglin Fan , Ping Li

Normalizing flow models have risen as a popular solution to the problem of density estimation, enabling high-quality synthetic data generation as well as exact probability density evaluation. However, in contexts where individuals are…

Machine Learning · Computer Science 2021-03-29 Chris Waites , Rachel Cummings

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional DP formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world…

Cryptography and Security · Computer Science 2023-05-18 Syomantak Chaudhuri , Thomas A. Courtade
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