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This paper studies the distributed least-squares optimization problem with differential privacy requirement of local cost functions, for which two differentially private distributed solvers are proposed. The first is established on the…

Optimization and Control · Mathematics 2024-03-05 Weijia Liu , Lei Wang , Fanghong Guo , Zhengguang Wu , Hongye Su

Distributed model predictive control (DMPC) has attracted extensive attention as it can explicitly handle system constraints and achieve optimal control in a decentralized manner. However, the deployment of DMPC strategies generally…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Kaixiang Zhang , Yongqiang Wang , Ziyou Song , Zhaojian Li

Metric Differential Privacy (mDP) extends the concept of Differential Privacy (DP) to serve as a new paradigm of data perturbation. It is designed to protect secret data represented in general metric space, such as text data encoded as word…

Artificial Intelligence · Computer Science 2024-05-10 Chenxi Qiu

Here we identify a type of privacy concern in Distributed Constraint Optimization (DCOPs) not previously addressed in literature, despite its importance and impact on the application field: the privacy of existence of secrets. Science only…

Multiagent Systems · Computer Science 2019-02-18 Viorel D. Silaghi , Marius C. Silaghi , René Mandiau

In the distributed optimization problem for a multi-agent system, each agent knows a local function and must find a minimizer of the sum of all agents' local functions by performing a combination of local gradient evaluations and…

Optimization and Control · Mathematics 2022-06-16 Bryan Van Scoy , Laurent Lessard

Decentralized optimization is increasingly popular in machine learning for its scalability and efficiency. Intuitively, it should also provide better privacy guarantees, as nodes only observe the messages sent by their neighbors in the…

Cryptography and Security · Computer Science 2024-06-12 Edwige Cyffers , Mathieu Even , Aurélien Bellet , Laurent Massoulié

This paper proposes a locally differentially private federated learning algorithm for strongly convex but possibly nonsmooth problems that protects the gradients of each worker against an honest but curious server. The proposed algorithm…

Machine Learning · Computer Science 2023-08-03 Jiaojiao Zhang , Dominik Fay , Mikael Johansson

Decentralized systems are a subset of distributed systems where multiple authorities control different components and no authority is fully trusted by all. This implies that any component in a decentralized system is potentially…

Cryptography and Security · Computer Science 2022-01-17 Carmela Troncoso , Marios Isaakidis , George Danezis , Harry Halpin

Privacy issues and communication cost are both major concerns in distributed optimization. There is often a trade-off between them because the encryption methods required for privacy-preservation often incur expensive communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Qiongxiu Li , Richard Heusdens , Mads Græsbøll Christensen

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

Differentially Private Stochastic Gradient Descent (DP-SGD) forms a fundamental building block in many applications for learning over sensitive data. Two standard approaches, privacy amplification by subsampling, and privacy amplification…

Machine Learning · Computer Science 2020-07-31 Borja Balle , Peter Kairouz , H. Brendan McMahan , Om Thakkar , Abhradeep Thakurta

Achieving communication efficiency in decentralized machine learning has been attracting significant attention, with communication compression recognized as an effective technique in algorithm design. This paper takes a first step to…

Machine Learning · Computer Science 2023-05-18 Boyue Li , Yuejie Chi

We consider decentralized optimization problems in which a number of agents collaborate to minimize the average of their local functions by exchanging over an underlying communication graph. Specifically, we place ourselves in an…

Optimization and Control · Mathematics 2023-03-20 Yu-Guan Hsieh , Yassine Laguel , Franck Iutzeler , Jérôme Malick

We study the privatization of distributed learning and optimization strategies. We focus on differential privacy schemes and study their effect on performance. We show that the popular additive random perturbation scheme degrades…

Machine Learning · Computer Science 2023-01-18 Elsa Rizk , Stefan Vlaski , Ali H. Sayed

We study differentially private distributed optimization under communication constraints. A server using SGD for optimization aggregates the client-side local gradients for model updates using distributed mean estimation (DME). We develop a…

Machine Learning · Computer Science 2023-02-23 Antonious M. Girgis , Suhas Diggavi

Prior work on differential privacy analysis of randomized SGD algorithms relies on composition theorems, where the implicit (unrealistic) assumption is that the internal state of the iterative algorithm is revealed to the adversary. As a…

Machine Learning · Statistics 2022-10-18 Jiayuan Ye , Reza Shokri

This article presents DDP-SA, a scalable privacy-preserving federated learning framework that jointly leverages client-side local differential privacy (LDP) and full-threshold additive secret sharing (ASS) for secure aggregation. Unlike…

Cryptography and Security · Computer Science 2026-04-09 Wenjing Wei , Farid Nait-Abdesselam , Alla Jammine

We study distributed estimation and learning problems in a networked environment where agents exchange information to estimate unknown statistical properties of random variables from their privately observed samples. The agents can…

Machine Learning · Computer Science 2024-04-02 Marios Papachristou , M. Amin Rahimian

In the last decade, data-driven algorithms outperformed traditional optimization-based algorithms in many research areas, such as computer vision, natural language processing, etc. However, extensive data usages bring a new challenge or…

Machine Learning · Computer Science 2021-12-02 Shih-Chun Lin , Chia-Hung Lin

In this paper, a decentralized proximal method of multipliers (DPMM) is proposed to solve constrained convex optimization problems over multi-agent networks, where the local objective of each agent is a general closed convex function, and…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang
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