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This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

最优化与控制 · 数学 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

The optimal power flow (OPF) problem is an important mathematical program that aims at obtaining the best operating point of an electric power grid. The optimization problem typically minimizes the total generation cost subject to certain…

最优化与控制 · 数学 2023-05-02 Shourya Bose , Kejun Chen , Yu Zhang

We propose a unified optimization framework for designing continuous and discrete noise distributions that ensure differential privacy (DP) by minimizing R\'enyi DP, a variant of DP, under a cost constraint. R\'enyi DP has the advantage…

Differential privacy (DP) has become the de facto standard for protecting sensitive data, providing strong guarantees that published statistics or models reveal limited information about any individual. However, privacy noise and restricted…

数据库 · 计算机科学 2026-05-25 Mariia Vologdin , Yuchao Tao , Amir Gilad

Solving optimal power flow (OPF) problems for large distribution networks incurs high computational complexity. We consider a large multi-phase distribution network of tree topology with a deep penetration of active devices. We divide the…

最优化与控制 · 数学 2020-09-10 Xinyang Zhou , Yue Chen , Zhiyuan Liu , Changhong Zhao , Lijun Chen

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…

最优化与控制 · 数学 2016-11-17 Shuo Han , Ufuk Topcu , George J. Pappas

Differentially private noise mechanisms commonly use symmetric noise distributions. This is attractive both for achieving the differential privacy definition, and for unbiased expectations in the noised answers. However, there are contexts…

密码学与安全 · 计算机科学 2021-10-18 Benjamin M. Case , James Honaker , Mahnush Movahedi

Optimal power flow (OPF) is considered for microgrids, with the objective of minimizing either the power distribution losses, or, the cost of power drawn from the substation and supplied by distributed generation (DG) units, while effecting…

最优化与控制 · 数学 2016-11-17 Emiliano Dall'Anese , Hao Zhu , Georgios B. Giannakis

In this paper, we present a notion of differential privacy (DP) for data that comes from different classes. Here, the class-membership is private information that needs to be protected. The proposed method is an output perturbation…

信号处理 · 电气工程与系统科学 2023-06-12 Raksha Ramakrishna , Anna Scaglione , Tong Wu , Nikhil Ravi , Sean Peisert

Many real-world graphs have degree distributions that are well approximated by a power-law, and the corresponding scaling parameter $\alpha$ provides a compact summary of that structure which is useful for graph analysis and system…

数据库 · 计算机科学 2026-05-07 Adam Tan , Mohamed Hefny , Keval Vora

Optimal Power Flow (OPF) is a core optimization problem in power system operation and planning, aiming to minimize generation costs while satisfying physical constraints such as power flow equations, generator limits, and voltage limits.…

机器学习 · 计算机科学 2025-12-02 Xuezhi Liu

While pursuing better utility by discovering knowledge from the data, individual's privacy may be compromised during an analysis. To that end, differential privacy has been widely recognized as the state-of-the-art privacy notion. By…

密码学与安全 · 计算机科学 2022-09-07 Meisam Mohammady

Graphs are the dominant formalism for modeling multi-agent systems. The algebraic connectivity of a graph is particularly important because it provides the convergence rates of consensus algorithms that underlie many multi-agent control and…

密码学与安全 · 计算机科学 2021-04-02 Bo Chen , Calvin Hawkins , Kasra Yazdani , Matthew Hale

We investigate the distributed DC-Optimal Power Flow (DC-OPF) problem for a dynamic and uncertain environment. The unpredictable supply of renewable resources and varying prices of the electricity market are a few factors responsible for…

最优化与控制 · 数学 2023-08-10 Sushobhan Chatterjee , Rachel Kalpana Kalaimani

While preserving the privacy of federated learning (FL), differential privacy (DP) inevitably degrades the utility (i.e., accuracy) of FL due to model perturbations caused by DP noise added to model updates. Existing studies have considered…

机器学习 · 计算机科学 2023-03-09 Xin Yuan , Wei Ni , Ming Ding , Kang Wei , Jun Li , H. Vincent Poor

Managing uncertainty and variability in power injections has become a major concern for power system operators due to the increasing levels of fluctuating renewable energy connected to the grid. This work addresses this uncertainty via a…

最优化与控制 · 数学 2020-05-05 Alejandra Pena-Ordieres , Daniel Molzahn , Line Roald , Andreas Waechter

We present a differentially private mechanism to display statistics (e.g., the moving average) of a stream of real valued observations where the bound on each observation is either too conservative or unknown in advance. This is…

密码学与安全 · 计算机科学 2018-11-09 Victor Perrier , Hassan Jameel Asghar , Dali Kaafar

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…

密码学与安全 · 计算机科学 2020-11-19 Mark Cesar , Ryan Rogers

Power system operators are increasingly looking toward distributed optimization to address various challenges facing electric power systems. To assess their capabilities in environments with nonideal communications, this paper investigates…

系统与控制 · 电气工程与系统科学 2022-07-05 Mohannad Alkhraijah , Carlos Menendez , Daniel K. Molzahn

Differential Privacy (DP) is the current gold-standard for ensuring privacy for statistical queries. Estimation problems under DP constraints appearing in the literature have largely focused on providing equal privacy to all users. We…

机器学习 · 计算机科学 2025-04-22 Syomantak Chaudhuri , Thomas A. Courtade