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In distributed machine learning, efficient training across multiple agents with different data distributions poses significant challenges. Even with a centralized coordinator, current algorithms that achieve optimal communication complexity…

Machine Learning · Computer Science 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng

We introduce a memory- and compute-efficient method for low-communication distributed training. Existing methods reduce communication by performing multiple local updates between infrequent global synchronizations. We demonstrate that their…

Machine Learning · Computer Science 2025-09-29 Anastasiia Filippova , Angelos Katharopoulos , David Grangier , Ronan Collobert

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…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

This paper presents a novel method of global adaptive dynamic programming (ADP) for the adaptive optimal control of nonlinear polynomial systems. The strategy consists of relaxing the problem of solving the Hamilton-Jacobi-Bellman (HJB)…

Dynamical Systems · Mathematics 2017-01-11 Yu Jiang , Zhong-Ping Jiang

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…

Optimization and Control · Mathematics 2022-02-18 Yichuan Li , Petros G. Voulgaris , Nikolaos M. Freris

Quantum Hamiltonian Descent (QHD) is a continuous optimization algorithm based on simulating a time-dependent quantum Hamiltonian whose potential energy encodes the objective function and whose kinetic energy promotes exploration through…

Quantum Physics · Physics 2026-05-13 Zeguan Wu , Mingze Li , Muqing Zheng , Meng Wang , Junyu Liu , Samuel Stein , Ang Li , Yousu Chen , Chenxu Liu

In modern large-scale machine learning applications, the training data are often partitioned and stored on multiple machines. It is customary to employ the "data parallelism" approach, where the aggregated training loss is minimized without…

Machine Learning · Computer Science 2017-08-28 Shun Zheng , Jialei Wang , Fen Xia , Wei Xu , Tong Zhang

We consider the distributed optimization problem, the goal of which is to minimize the sum of local objective functions over a directed network. Though it has been widely studied recently, most of the existing algorithms are designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Jiaqi Zhang , Keyou You

We consider the setting of agents cooperatively minimizing the sum of local objectives plus a regularizer on a graph. This paper proposes a primal-dual method in consideration of three distinctive attributes of real-life multi-agent…

Optimization and Control · Mathematics 2023-12-11 Ziyi Yu , Nikolaos M. Freris

This paper proposes a scheme to efficiently execute distributed learning tasks in an asynchronous manner while minimizing the gradient staleness on wireless edge nodes with heterogeneous computing and communication capacities. The approach…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-19 Umair Mohammad , Sameh Sorour

Distributed optimization offers a promising paradigm for trajectory planning in Unmanned Aerial Vehicle (UAV) swarms, yet its deployment in communication-constrained environments remains challenging due to unreliable links and limited data…

Robotics · Computer Science 2025-11-20 Yue Yu , Xiaobo Zheng , Shaoming He

This paper studies distributed continuous-time optimization for time-varying quadratic cost functions with uncertain parameters. We first propose a centralized adaptive optimization algorithm using partial information of the cost function.…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Liangze Jiang , Zheng-Guang Wu , Lei Wang

We study distributed optimization where nodes cooperatively minimize the sum of their individual, locally known, convex costs $f_i(x)$'s, $x \in {\mathbb R}^d$ is global. Distributed augmented Lagrangian (AL) methods have good empirical…

Information Theory · Computer Science 2014-04-15 Dusan Jakovetic , Jose M. F. Moura , Joao Xavier

In this paper, we propose an inexact Augmented Lagrangian Method (ALM) for the optimization of convex and nonsmooth objective functions subject to linear equality constraints and box constraints where errors are due to fixed-point data. To…

Optimization and Control · Mathematics 2019-07-23 Yan Zhang , Michael M. Zavlanos

Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

Optimization and Control · Mathematics 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

Stochastic network optimization problems entail finding resource allocation policies that are optimum on an average but must be designed in an online fashion. Such problems are ubiquitous in communication networks, where resources such as…

Optimization and Control · Mathematics 2018-05-09 Amrit S. Bedi , Ketan Rajawat

Augmented Lagrangian (AL) methods are a well known class of algorithms for solving constrained optimization problems. They have been extended to the solution of saddle-point systems of linear equations. We study an AL (SPAL) algorithm for…

Numerical Analysis · Mathematics 2024-04-24 N. Huang , Y. -H. Dai , D. Orban , M. A. Saunders

Distributed quantum computation is often proposed to increase the scalability of quantum hardware, as it reduces cooperative noise and requisite connectivity by sharing quantum information between distant quantum devices. However, such…

Quantum Physics · Physics 2023-09-13 Abigail McClain Gomez , Taylor L. Patti , Anima Anandkumar , Susanne F. Yelin

This paper is concerned with the distributed composite optimization problem over networks, where agents aim to minimize a sum of local smooth components and a common nonsmooth term. Leveraging the probabilistic local updates mechanism, we…

Optimization and Control · Mathematics 2026-02-19 Luyao Guo , Xinli Shi , Wenying Xu , Jinde Cao

Intelligent transportation systems have recently emerged to address the growing interest for safer, more efficient, and sustainable transportation solutions. In this direction, this paper presents distributed algorithms for control and…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Mohammadreza Doostmohammadian , Alireza Aghasi , Hamid R. Rabiee