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In this paper, we study the problem of consensus-based distributed optimization where a network of agents, abstracted as a directed graph, aims to minimize the sum of all agents' cost functions collaboratively. In existing distributed…

系统与控制 · 电气工程与系统科学 2022-08-30 Xiaomeng Chen , Lingying Huang , Lidong He , Subhrakanti Dey , Ling Shi

This paper studies the problem of multi-agent computation under the differential privacy requirement of the agents' local datasets against eavesdroppers having node-to-node communications. We first propose for the network equipped with…

分布式、并行与集群计算 · 计算机科学 2021-01-06 Lei Wang , Yang Liu , Ian Manchester , Guodong Shi

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

We develop a communication-efficient distributed learning algorithm that is robust against Byzantine worker machines. We propose and analyze a distributed gradient-descent algorithm that performs a simple thresholding based on gradient…

机器学习 · 计算机科学 2021-08-17 Avishek Ghosh , Raj Kumar Maity , Swanand Kadhe , Arya Mazumdar , Kannan Ramchandran

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 a multi-agent network, we consider the problem of minimizing an objective function that is expressed as the sum of private convex and smooth functions, and a (possibly) non-differentiable convex regularizer. We propose a novel…

最优化与控制 · 数学 2021-09-30 Yichuan Li , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

The Alternating Direction Method of Multipliers (ADMM) and its distributed version have been widely used in machine learning. In the iterations of ADMM, model updates using local private data and model exchanges among agents impose critical…

机器学习 · 计算机科学 2020-08-12 Jiahao Ding , Jingyi Wang , Guannan Liang , Jinbo Bi , Miao Pan

Distributed optimization is widely used in large-scale and privacy-preserving machine learning, where each agent stores a local objective and communicates only with its neighbors in a connected network. We study decentralized second-order…

Computing the principal component (PC) of the adjacency matrix of an undirected graph has several applications ranging from identifying key vertices for influence maximization and controlling diffusion processes, to discovering densely…

数据结构与算法 · 计算机科学 2026-03-06 Alireza Khayatian , Anil Vullikanti , Aritra Konar

We propose a communication efficient quasi-Newton method for large-scale multi-agent convex composite optimization. We assume the setting of a network of agents that cooperatively solve a global minimization problem with strongly convex…

最优化与控制 · 数学 2022-02-18 Yichuan Li , Petros G. Voulgaris , Nikolaos M. Freris

Motivated by growing concerns over ensuring privacy on social networks, we develop new algorithms and impossibility results for fitting complex statistical models to network data subject to rigorous privacy guarantees. We consider the…

统计理论 · 数学 2018-10-05 Christian Borgs , Jennifer Chayes , Adam Smith , Ilias Zadik

The use of network Newton methods for the decentralized optimization of a sum cost distributed through agents of a network is considered. Network Newton methods reinterpret distributed gradient descent as a penalty method, observe that the…

最优化与控制 · 数学 2015-04-24 Aryan Mokhtari , Qing Ling , Alejandro Ribeiro

We develop several new communication-efficient second-order methods for distributed optimization. Our first method, NEWTON-STAR, is a variant of Newton's method from which it inherits its fast local quadratic rate. However, unlike Newton's…

机器学习 · 计算机科学 2021-02-16 Rustem Islamov , Xun Qian , Peter Richtárik

Distributed algorithms provide flexibility over centralized algorithms for resource allocation problems, e.g., cyber-physical systems. However, the distributed nature of these algorithms often makes the systems susceptible to…

最优化与控制 · 数学 2019-09-11 Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

This paper investigates privacy issues in distributed resource allocation over directed networks, where each agent holds a private cost function and optimizes its decision subject to a global coupling constraint through local interaction…

系统与控制 · 电气工程与系统科学 2025-07-08 Wei Huo , Xiaomeng Chen , Lingying Huang , Karl Henrik Johansson , Ling Shi

This work proposes a distributed algorithm for solving empirical risk minimization problems, called L-DQN, under the master/worker communication model. L-DQN is a distributed limited-memory quasi-Newton method that supports asynchronous…

最优化与控制 · 数学 2021-09-07 Bugra Can , Saeed Soori , Maryam Mehri Dehnavi , Mert Gürbüzbalaban

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

系统与控制 · 电气工程与系统科学 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

Differentially private (DP) mechanisms face the challenge of providing accurate results while protecting their inputs: the privacy-utility trade-off. A simple but powerful technique for DP adds noise to sensitivity-bounded query outputs to…

密码学与安全 · 计算机科学 2021-07-28 David M. Sommer , Lukas Abfalterer , Sheila Zingg , Esfandiar Mohammadi

This paper proposes a differentially private gradient-tracking-based distributed stochastic optimization algorithm over directed graphs. In particular, privacy noises are incorporated into each agent's state and tracking variable to…

系统与控制 · 电气工程与系统科学 2026-04-15 Jialong Chen , Jimin Wang , Ji-Feng Zhang

This paper investigates the privacy-preserving distributed optimization problem, aiming to protect agents' private information from potential attackers during the optimization process. Gradient tracking, an advanced technique for improving…

机器学习 · 计算机科学 2025-09-24 Furan Xie , Bing Liu , Li Chai