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We study non-convex distributed optimization problems where a set of agents collaboratively solve a separable optimization problem that is distributed over a time-varying network. The existing methods to solve these problems rely on (at…

最优化与控制 · 数学 2022-04-26 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

系统与控制 · 电气工程与系统科学 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

Rapid advances in data collection and processing capabilities have allowed for the use of increasingly complex models that give rise to nonconvex optimization problems. These formulations, however, can be arbitrarily difficult to solve in…

多智能体系统 · 计算机科学 2020-04-01 Stefan Vlaski , Ali H. Sayed

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

最优化与控制 · 数学 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

This paper studies a class of distributed optimization problems with coupled equality constraints in networked systems. Many existing distributed algorithms rely on solving local subproblems via the $\operatorname{argmin}$ operator in each…

最优化与控制 · 数学 2025-11-26 Chenyang Qiu , Zongli Lin

We present a new class of decentralized first-order methods for nonsmooth and stochastic optimization problems defined over multiagent networks. Considering that communication is a major bottleneck in decentralized optimization, our main…

最优化与控制 · 数学 2017-02-07 Guanghui Lan , Soomin Lee , Yi Zhou

Decentralized optimization enables a network of agents to cooperatively optimize an overall objective function without a central coordinator and is gaining increased attention in domains as diverse as control, sensor networks, data mining,…

最优化与控制 · 数学 2023-12-27 Yongqiang Wang , Angelia Nedic

Decentralized machine learning (DML) supports collaborative training in large-scale networks with no central server. It is sensitive to the quality and reliability of inter-device communications that result in time-varying and stochastic…

信号处理 · 电气工程与系统科学 2025-11-06 Zhiyuan Zhai , Shuyan Hu , Wei Ni , Xiaojun Yuan , Xin Wang

Decentralized optimization is a promising parallel computation paradigm for large-scale data analytics and machine learning problems defined over a network of nodes. This paper is concerned with decentralized non-convex composite problems…

最优化与控制 · 数学 2021-10-05 Ran Xin , Subhro Das , Usman A. Khan , Soummya Kar

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

最优化与控制 · 数学 2014-11-19 Ion Necoara , Dragos Clipici

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Data and pipeline parallelism are key strategies for scaling neural network training across distributed devices, but their high communication cost necessitates co-located computing clusters with fast interconnects, limiting their…

This paper studies distributed online convex optimization with time-varying coupled constraints, motivated by distributed online control in network systems. Most prior work assumes a separability condition: the global objective and coupled…

最优化与控制 · 数学 2026-02-18 Zhaoye Pan , Haozhe Lei , Fan Zuo , Zilin Bian , Tao Li

We study distributed big-data nonconvex optimization in multi-agent networks. We consider the (constrained) minimization of the sum of a smooth (possibly) nonconvex function, i.e., the agents' sum-utility, plus a convex (possibly) nonsmooth…

最优化与控制 · 数学 2018-09-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

The main contribution of this paper is an efficient and generalized decentralized monitoring algorithm allowing to detect satisfaction or violation of any regular specification by local monitors alone in a system without central observation…

软件工程 · 计算机科学 2014-02-18 Tom Cornebize , Yliès Falcone

This paper presents a decentralized algorithm for solving distributed convex optimization problems in dynamic networks with time-varying objectives. The unique feature of the algorithm lies in its ability to accommodate a wide range of…

最优化与控制 · 数学 2023-07-12 Navneet Agrawal , Renato L. G. Cavalcante , Masahiro Yukawa , Slawomir Stanczak

This paper develops a unified estimation framework, the Maximum Ideal Likelihood Estimation (MILE), for general parametric models with latent variables. Unlike traditional approaches relying on the marginal likelihood of the observed data,…

统计理论 · 数学 2025-10-08 Yizhou Cai , Ting Fung Ma

This paper studies a compressed momentum-based single-point zeroth-order algorithm for stochastic distributed nonconvex optimization, aiming to alleviate communication overhead and address the unavailability of explicit gradient…

最优化与控制 · 数学 2026-05-12 Linjing Chen , Antai Xie , Xinlei Yi , Xiaoqiang Ren , Xiaofan Wang

Most decentralized optimization algorithms are handcrafted. While endowed with strong theoretical guarantees, these algorithms generally target a broad class of problems, thereby not being adaptive or customized to specific problem…

最优化与控制 · 数学 2024-10-03 Yutong He , Qiulin Shang , Xinmeng Huang , Jialin Liu , Kun Yuan

We consider the fully decentralized machine learning scenario where many users with personal datasets collaborate to learn models through local peer-to-peer exchanges, without a central coordinator. We propose to train personalized models…

机器学习 · 计算机科学 2024-12-20 Valentina Zantedeschi , Aurélien Bellet , Marc Tommasi