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In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

系统与控制 · 计算机科学 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

This paper addresses the problem of distributed optimization, where a network of agents represented as a directed graph (digraph) aims to collaboratively minimize the sum of their individual cost functions. Existing approaches for…

最优化与控制 · 数学 2023-07-06 Xiaomeng Chen , Wei Jiang , Themistoklis Charalambous , Ling Shi

We consider a multi-agent optimization problem where agents subject to local, intermittent interactions aim to minimize a sum of local objective functions subject to a global inequality constraint and a global state constraint set. In…

最优化与控制 · 数学 2012-10-10 Minghui Zhu , Sonia Martinez

Privacy-preserving distributed processing has recently attracted considerable attention. It aims to design solutions for conducting signal processing tasks over networks in a decentralized fashion without violating privacy. Many algorithms…

密码学与安全 · 计算机科学 2020-09-03 Qiongxiu Li , Jaron Skovsted Gundersen , Richard Heusdens , Mads Græsbøll Christensen

Data publishing under privacy constraints can be achieved with mechanisms that add randomness to data points when released to an untrusted party, thereby decreasing the data's utility. In this paper, we analyze this privacy-utility tradeoff…

信息论 · 计算机科学 2024-08-28 Leonhard Grosse , Sara Saeidian , Tobias Oechtering

Privacy preservation is becoming an increasingly important issue in data mining and machine learning. In this paper, we consider the privacy preserving features of distributed subgradient optimization algorithms. We first show that a…

分布式、并行与集群计算 · 计算机科学 2015-12-31 Youcheng Lou , Lean Yu , Shouyang Wang

In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

密码学与安全 · 计算机科学 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya

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…

机器学习 · 计算机科学 2019-03-20 Mehrdad Showkatbakhsh , Can Karakus , Suhas Diggavi

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…

神经与进化计算 · 计算机科学 2026-05-21 Sebastian Gruber , Tobias Harzfeld , Christoph G. Schuetz , Florian Wohner , Thomas Lorünser

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…

分布式、并行与集群计算 · 计算机科学 2021-06-01 Qiongxiu Li , Richard Heusdens , Mads Græsbøll Christensen

Differentially private distributed stochastic optimization has become a hot topic due to the urgent need of privacy protection in distributed stochastic optimization. In this paper, two-time scale stochastic approximation-type algorithms…

系统与控制 · 电气工程与系统科学 2024-03-19 Jimin Wang , Ji-Feng Zhang

We consider cooperative multi-agent consensus optimization problems over an undirected network of agents, where only those agents connected by an edge can directly communicate. The objective is to minimize the sum of agent-specific…

最优化与控制 · 数学 2016-07-12 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

Analyzing data owned by several parties while achieving a good trade-off between utility and privacy is a key challenge in federated learning and analytics. In this work, we introduce a novel relaxation of local differential privacy (LDP)…

机器学习 · 计算机科学 2022-03-08 Edwige Cyffers , Aurélien Bellet

The shuffle model is recently proposed to address the issue of severe utility loss in Local Differential Privacy (LDP) due to distributed data randomization.In the shuffle model, a shuffler is utilized to break the link between the user…

密码学与安全 · 计算机科学 2021-08-03 Xiaochen Li , Weiran Liu , Hanwen Feng , Kunzhe Huang , Jinfei Liu , Kui Ren , Zhan Qin

In this paper, a centralized two-block separable optimization is considered for which a fully parallel primal-dual discrete-time algorithm with fixed step size is derived based on monotone operator splitting method. In this algorithm, the…

最优化与控制 · 数学 2020-09-30 S. Sh. Alaviani , A. G. Kelkar

Large-scale multi-agent cooperative control problems have materially enjoyed the scalability, adaptivity, and flexibility of decentralized optimization. However, due to the mandatory iterative communications between the agents and the…

最优化与控制 · 数学 2021-03-04 Xiang Huo , Mingxi Liu

Differential privacy (DP) techniques can be applied to the federated learning model to statistically guarantee data privacy against inference attacks to communication among the learning agents. While ensuring strong data privacy, however,…

机器学习 · 计算机科学 2022-02-22 Minseok Ryu , Kibaek Kim

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…

数据结构与算法 · 计算机科学 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar

In this paper, we develop a distributed mixing-accelerated primal-dual proximal algorithm, referred to as MAP-Pro, which enables nodes in multi-agent networks to cooperatively minimize the sum of their nonconvex, smooth local cost functions…

最优化与控制 · 数学 2024-03-12 Zichong Ou , Chenyang Qiu , Dandan Wang , Jie Lu

Noisy gradient descent and its variants are the predominant algorithms for differentially private machine learning. It is a fundamental question to quantify their privacy leakage, yet tight characterizations remain open even in the…

机器学习 · 计算机科学 2024-06-13 Jinho Bok , Weijie Su , Jason M. Altschuler