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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 introduces a parallel and distributed extension to the alternating direction method of multipliers (ADMM) for solving convex problem: minimize $\sum_{i=1}^N f_i(x_i)$ subject to $\sum_{i=1}^N A_i x_i=c, x_i\in \mathcal{X}_i$. The…

最优化与控制 · 数学 2014-03-20 Wei Deng , Ming-Jun Lai , Zhimin Peng , Wotao Yin

Machine Learning (ML) models integrated with in-situ sensing offer transformative solutions for defect detection in Additive Manufacturing (AM), but this integration brings critical challenges in safeguarding sensitive data, such as part…

机器学习 · 计算机科学 2025-03-19 Fardin Jalil Piran , Prathyush P. Poduval , Hamza Errahmouni Barkam , Mohsen Imani , Farhad Imani

In this paper, we study a dynamic version of the sharing problem, in which a dynamic system cost function composed of time-variant local costs of subsystems and a shared time-variant cost of the whole system is minimized. A dynamic…

最优化与控制 · 数学 2017-03-16 Xuanyu Cao , K. J. Ray Liu

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…

系统与控制 · 电气工程与系统科学 2025-11-21 Kaixiang Zhang , Yongqiang Wang , Ziyou Song , Zhaojian Li

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

最优化与控制 · 数学 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

While machine learning has achieved remarkable results in a wide variety of domains, the training of models often requires large datasets that may need to be collected from different individuals. As sensitive information may be contained in…

机器学习 · 计算机科学 2023-02-07 Richeng Jin , Xiaofan He , Huaiyu Dai

Inexact alternating direction multiplier methods (ADMMs) are developed for solving general separable convex optimization problems with a linear constraint and with an objective that is the sum of smooth and nonsmooth terms. The approach…

最优化与控制 · 数学 2016-04-12 William W. Hager , Hongchao Zhang

We propose a distributed nonparametric algorithm for solving measure-valued optimization problems with additive objectives. Such problems arise in several contexts in stochastic learning and control including Langevin sampling from an…

最优化与控制 · 数学 2022-02-21 Iman Nodozi , Abhishek Halder

We consider a class of distributed optimization problem where the objective function consists of a sum of strongly convex and smooth functions and a (possibly nonsmooth) convex regularizer. A multi-agent network is assumed, where each agent…

最优化与控制 · 数学 2021-10-01 Yichuan Li , Yonghai Gong , Nikolaos M. Freris , Petros Voulgaris , Dusan Stipanovic

This paper considers the problem of releasing privacy-preserving load data of a decentralized operated power system. The paper focuses on data used to solve Optimal Power Flow (OPF) problems and proposes a distributed algorithm that…

最优化与控制 · 数学 2020-04-20 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

We propose an adaptive (stochastic) gradient perturbation method for differentially private empirical risk minimization. At each iteration, the random noise added to the gradient is optimally adapted to the stepsize; we name this process…

机器学习 · 计算机科学 2021-10-26 Xiaoxia Wu , Lingxiao Wang , Irina Cristali , Quanquan Gu , Rebecca Willett

In this paper, we propose and analyze an inexact version of the symmetric proximal alternating direction method of multipliers (ADMM) for solving linearly constrained optimization problems. Basically, the method allows its first subproblem…

最优化与控制 · 数学 2020-06-05 Vando A. Adona , Max L. N. Gonçalves

Matrix completion is fundamental for predicting missing data with a wide range of applications in personalized healthcare, e-commerce, recommendation systems, and social network analysis. Traditional matrix completion approaches typically…

机器学习 · 计算机科学 2025-03-19 Patrick Hytla , Tran T. A. Nghia , Duy Nhat Phan , Andrew Rice

In this paper, we propose decentralized and scalable algorithms for Gaussian process (GP) training and prediction in multi-agent systems. To decentralize the implementation of GP training optimization algorithms, we employ the alternating…

机器学习 · 统计学 2022-03-08 George P. Kontoudis , Daniel J. Stilwell

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

The alternating direction method of multipliers (ADMM) were extensively investigated in the past decades for solving separable convex optimization problems. Fewer researchers focused on exploring its convergence properties for the nonconvex…

数值分析 · 数学 2019-07-02 Jianchao Bai , Junli Liang , Ke Guo , Yang Jing

Stochastic alternating direction method of multipliers (ADMM), which visits only one sample or a mini-batch of samples each time, has recently been proved to achieve better performance than batch ADMM. However, most stochastic methods can…

机器学习 · 计算机科学 2015-07-21 Shen-Yi Zhao , Wu-Jun Li , Zhi-Hua Zhou

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

分布式、并行与集群计算 · 计算机科学 2024-02-20 Richard Heusdens , Guoqiang Zhang

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