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This paper proposes a distributed optimization algorithm with a convergence time that can be assigned in advance according to task requirements. To this end, a sliding manifold is introduced to achieve the sum of local gradients approaching…

Optimization and Control · Mathematics 2024-12-31 Renyongkang Zhang , Ge Guo , Zeng-di Zhou

Coded computing has emerged as a promising framework for tackling significant challenges in large-scale distributed computing, including the presence of slow, faulty, or compromised servers. In this approach, each worker node processes a…

Machine Learning · Computer Science 2026-03-26 Parsa Moradi , Behrooz Tahmasebi , Mohammad Ali Maddah-Ali

Distributed computing has become a common approach for large-scale computation of tasks due to benefits such as high reliability, scalability, computation speed, and costeffectiveness. However, distributed computing faces critical issues…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-21 Jer Shyuan Ng , Wei Yang Bryan Lim , Nguyen Cong Luong , Zehui Xiong , Alia Asheralieva , Dusit Niyato , Cyril Leung , Chunyan Miao

Motivated by economic dispatch and linearly-constrained resource allocation problems, this paper proposes a novel Distributed Approx-Newton algorithm that approximates the standard Newton optimization method. A main property of this…

Numerical Analysis · Computer Science 2017-03-24 Tor Anderson , Chin-Yao Chang , Sonia Martinez

In distributed optimization, a large number of machines alternate between local computations and communication with a coordinating server. Communication, which can be slow and costly, is the main bottleneck in this setting. To reduce this…

Machine Learning · Computer Science 2026-04-03 Laurent Condat , Ivan Agarský , Peter Richtárik

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

Optimization and Control · Mathematics 2020-03-05 Peng Lin , Wei Ren , Huijun Gao

We study distributed composite optimization over networks: agents minimize the sum of a smooth (strongly) convex function, the agents' sum-utility, plus a non-smooth (extended-valued) convex one. We propose a general algorithmic framework…

Optimization and Control · Mathematics 2019-10-23 Jinming Xu , Ying Sun , Ye Tian , Gesualdo Scutari

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Given a network of agents, we study the problem of designing a distributed algorithm that computes k independent weighted means of the network's initial conditions (namely, the agents agree on a k-dimensional space). Akin to average…

Optimization and Control · Mathematics 2024-10-23 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

We propose basic and natural assumptions under which iterative optimization methods with compressed iterates can be analyzed. This problem is motivated by the practice of federated learning, where a large model stored in the cloud is…

Machine Learning · Computer Science 2019-12-23 Sélim Chraibi , Ahmed Khaled , Dmitry Kovalev , Peter Richtárik , Adil Salim , Martin Takáč

Distributed multi-task learning (DMTL) effectively improves model generalization performance through the collaborative training of multiple related models. However, in large-scale learning scenarios, communication bottlenecks severely limit…

Information Theory · Computer Science 2025-07-25 Minquan Cheng , Yongkang Wang , Lingyu Zhang , Youlong Wu

Distributed abstract programs are a novel class of distributed optimization problems where (i) the number of variables is much smaller than the number of constraints and (ii) each constraint is associated to a network node. Abstract…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-02 Giuseppe Notarstefano , Francesco Bullo

Compressed communication, in the form of sparsification or quantization of stochastic gradients, is employed to reduce communication costs in distributed data-parallel training of deep neural networks. However, there exists a discrepancy…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-20 Aritra Dutta , El Houcine Bergou , Ahmed M. Abdelmoniem , Chen-Yu Ho , Atal Narayan Sahu , Marco Canini , Panos Kalnis

A wider selection of step sizes is explored for the distributed subgradient algorithm for multi-agent optimization problems, for both time-invariant and time-varying communication topologies. The square summable requirement of the step…

Optimization and Control · Mathematics 2016-02-02 Peng Wang , Wei Ren

In this paper, we propose matrix-scaled consensus algorithms for linear dynamical agents interacting over an undirected network. Under the proposed algorithms, the state vectors of all agents to asymptotically agree up to some matrix…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Minh Hoang Trinh , Hoang Huy Vu , Nhat-Minh Le-Phan , Quyen Ngoc Nguyen

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

Optimization and Control · Mathematics 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

This paper investigates the distributed fixed point seeking problem of sum-separable stochastic operators over the multi-agent network. Based on inexact Krasnosel'ski\u{\i}--Mann iterations, the communication-efficient distributed algorithm…

Optimization and Control · Mathematics 2026-05-22 Fan Li , Lei Xu , Xinlei Yi , Guanghui Wen , Yang Shi , Tao Yang

Many large-scale constrained optimization problems can be formulated as bilevel distributed optimization tasks over undirected networks, where agents collaborate to minimize a global cost function while adhering to constraints, relying only…

Optimization and Control · Mathematics 2025-11-25 Ajay Tak , Mayank Baranwal

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Multiagent Systems · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

In modern large-scale systems with sensor networks and IoT devices it is essential to collaboratively solve complex problems while utilizing network resources efficiently. In our paper we present three distributed optimization algorithms…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson