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Distributed optimization has gained significant attention in recent years, primarily fueled by the availability of a large amount of data and privacy-preserving requirements. This paper presents a fixed-time convergent optimization…

Systems and Control · Computer Science 2022-05-30 Kunal Garg , Mayank Baranwal

In personalized Federated Learning, each member of a potentially large set of agents aims to train a model minimizing its loss function averaged over its local data distribution. We study this problem under the lens of stochastic…

Optimization and Control · Mathematics 2022-02-02 Mathieu Even , Laurent Massoulié , Kevin Scaman

Consensus-based distributed optimization methods have recently been advocated as alternatives to parameter server and ring all-reduce paradigms for large scale training of machine learning models. In this case, each worker maintains a local…

Machine Learning · Computer Science 2020-03-02 Giovanni Neglia , Chuan Xu , Don Towsley , Gianmarco Calbi

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

Decentralized optimization algorithms are important in different contexts, such as distributed optimal power flow or distributed model predictive control, as they avoid central coordination and enable decomposition of large-scale problems.…

Optimization and Control · Mathematics 2019-03-28 Alexander Engelmann , Yuning Jiang , Boris Houska , Timm Faulwasser

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

We present a distributed algorithm that enables a group of robots to collaboratively optimize the parameters of a deep neural network model while communicating over a mesh network. Each robot only has access to its own data and maintains…

Robotics · Computer Science 2022-01-25 Javier Yu , Joseph A. Vincent , Mac Schwager

This thesis explores a particular class of distributed optimization methods for various separable resource allocation problems, which are of high interest in a wide array of multi-agent settings. A distinctly motivating application for this…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Tor Anderson

This paper presents a decentralized algorithm for non-convex optimization over tree-structured networks. We assume that each node of this network can solve small-scale optimization problems and communicate approximate value functions with…

Optimization and Control · Mathematics 2020-11-02 Yuning Jiang , Dimitris Kouzoupis , Haoyu Yin , Moritz Diehl , Boris Houska

We propose a decentralized learning algorithm over a general social network. The algorithm leaves the training data distributed on the mobile devices while utilizing a peer to peer model aggregation method. The proposed algorithm allows…

Machine Learning · Statistics 2019-05-28 Anusha Lalitha , Xinghan Wang , Osman Kilinc , Yongxi Lu , Tara Javidi , Farinaz Koushanfar

In this paper, we consider the algorithms and convergence for a general optimization problem, which has a wide range of applications in image segmentation, topology optimization, flow network formulation, and surface reconstruction. In…

Optimization and Control · Mathematics 2024-03-15 Dong Wang , Shangzhi Zeng , Jin Zhang

In this paper, we develop a class of decentralized algorithms for solving a convex resource allocation problem in a network of $n$ agents, where the agent objectives are decoupled while the resource constraints are coupled. The agents…

Optimization and Control · Mathematics 2018-12-18 Angelia Nedić , Alex Olshevsky , Wei Shi

This paper addresses the distributed optimization of the finite condition number of the Laplacian matrix in multi-agent systems. The finite condition number, defined as the ratio of the largest to the second smallest eigenvalue of the…

Optimization and Control · Mathematics 2026-03-17 Yicheng Xu , Faryar Jabbari

Decentralized optimization of distributed stochastic differential systems has been an active area of research for over half a century. Its formulation utilizing static team and person-by-person optimality criteria is well investigated.…

Optimization and Control · Mathematics 2013-02-15 Charalambos D. Charalambous , Nasir U. Ahmed

Distributed optimization is manifesting great potential in multiple fields, e.g., machine learning, control, and resource allocation. Existing decentralized optimization algorithms require sharing explicit state information among the…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Huqiang Cheng , Xiaofeng Liao , Huaqing Li , You Zhao

The design of decentralized learning algorithms is important in the fast-growing world in which data are distributed over participants with limited local computation resources and communication. In this direction, we propose an online…

Machine Learning · Computer Science 2022-08-02 Angan Mitra , Nguyen Kim Thang , Tuan-Anh Nguyen , Denis Trystram , Paul Youssef

We study decentralized optimization where multiple agents minimize the average of their (strongly) convex, smooth losses over a communication graph. Convergence of the existing decentralized methods generally hinges on an apriori, proper…

Optimization and Control · Mathematics 2025-08-01 Ilya Kuruzov , Xiaokai Chen , Gesualdo Scutari , Alexander Gasnikov

We consider the decentralized minimization of a separable objective $\sum_{i=1}^{n} f_i(x_i)$, where the variables are coupled through an affine constraint $\sum_{i=1}^n\left(\mathbf{A}_i x_i - b_i\right) = 0$. We assume that the functions…

Optimization and Control · Mathematics 2026-04-21 Demyan Yarmoshik , Alexander Rogozin , Nikita Kiselev , Daniil Dorin , Alexander Gasnikov , Dmitry Kovalev

Multi-agent planning in stochastic environments can be framed formally as a decentralized Markov decision problem. Many real-life distributed problems that arise in manufacturing, multi-robot coordination and information gathering scenarios…

Artificial Intelligence · Computer Science 2011-11-02 Claudia V. Goldman , Shlomo Zilberstein

We study decentralized optimization over networks where agents cooperatively minimize a smooth (strongly) convex sum of local losses while communicating only with immediate neighbors. Prevailing decentralized methods require either…

Optimization and Control · Mathematics 2026-05-04 Xiaokai Chen , Ilya Kuruzov , Gesualdo Scutari