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We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

最优化与控制 · 数学 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

Bundle adjustment is the common way to solve localization and mapping. It is an iterative process in which a system of non-linear equations is solved using two optimization methods, weighted by a damping factor. In the classic approach, the…

计算机视觉与模式识别 · 计算机科学 2023-08-28 Amir Belder , Refael Vivanti , Ayellet Tal

The proximal bundle method (PBM) is a fundamental and computationally effective algorithm for solving nonsmooth optimization problems. In this paper, we present the first variant of the PBM for smooth objectives, achieving an accelerated…

最优化与控制 · 数学 2025-04-30 David Fersztand , Xu Andy Sun

The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. It arises in various application domains,…

最优化与控制 · 数学 2015-03-17 John Duchi , Alekh Agarwal , Martin Wainwright

In this work, we study decentralized convex constrained optimization problems in networks. We focus on the dual averaging-based algorithmic framework that is well-documented to be superior in handling constraints and complex communication…

最优化与控制 · 数学 2022-08-16 Changxin Liu , Yang Shi , Huiping Li , Wenli Du

Minimax problems have recently attracted a lot of research interests. A few efforts have been made to solve decentralized nonconvex strongly-concave (NCSC) minimax-structured optimization; however, all of them focus on smooth problems with…

最优化与控制 · 数学 2023-04-06 Yangyang Xu

We present a totally asynchronous algorithm for convex optimization that is based on a novel generalization of Nesterov's accelerated gradient method. This algorithm is developed for fast convergence under "total asynchrony," i.e., allowing…

最优化与控制 · 数学 2024-06-17 Ellie Pond , April Sebok , Zachary Bell , Matthew Hale

We consider decentralized optimization problems where one aims to minimize a sum of convex smooth objective functions distributed between nodes in the network. The links in the network can change from time to time. For the setting when the…

最优化与控制 · 数学 2023-01-30 Dmitriy Metelev , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

We propose a distributed bundle adjustment (DBA) method using the exact Levenberg-Marquardt (LM) algorithm for super large-scale datasets. Most of the existing methods partition the global map to small ones and conduct bundle adjustment in…

计算机视觉与模式识别 · 计算机科学 2023-08-15 Maoteng Zheng , Nengcheng Chen , Junfeng Zhu , Xiaoru Zeng , Huanbin Qiu , Yuyao Jiang , Xingyue Lu , Hao Qu

Decentralized training of deep neural networks has attracted significant attention for its theoretically superior scalability over synchronous data-parallel methods like All-Reduce. However, realizing this potential in multi-node training…

分布式、并行与集群计算 · 计算机科学 2024-10-17 Zesen Wang , Jiaojiao Zhang , Xuyang Wu , Mikael Johansson

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where their information exchange is restricted between the…

最优化与控制 · 数学 2015-06-16 Wei Shi , Qing Ling , Kun Yuan , Gang Wu , Wotao Yin

Dual ascent (DA) and the method of multipliers (MM) are fundamental methods for solving linear equality-constrained convex optimization problems, and their dual updates can be viewed as the minimization of a proximal linear surrogate…

最优化与控制 · 数学 2025-11-19 Zhuoqing Zheng , Tao Liu , Xuyang Wu

Decentralized optimization, particularly the class of decentralized composite convex optimization (DCCO) problems, has found many applications. Due to ubiquitous communication congestion and random dropouts in practice, it is highly…

最优化与控制 · 数学 2022-10-12 Changxin Liu , Zirui Zhou , Jian Pei , Yong Zhang , Yang Shi

We develop a distributed algorithm for convex Empirical Risk Minimization, the problem of minimizing large but finite sum of convex functions over networks. The proposed algorithm is derived from directly discretizing the second-order…

最优化与控制 · 数学 2018-11-07 Jingzhao Zhang , César A. Uribe , Aryan Mokhtari , Ali Jadbabaie

Decentralized learning is crucial in supporting on-device learning over large distributed datasets, eliminating the need for a central server. However, the communication overhead remains a major bottleneck for the practical realization of…

机器学习 · 计算机科学 2024-04-10 Sai Aparna Aketi , Abolfazl Hashemi , Kaushik Roy

We introduce a generic scheme for accelerating first-order optimization methods in the sense of Nesterov, which builds upon a new analysis of the accelerated proximal point algorithm. Our approach consists of minimizing a convex objective…

最优化与控制 · 数学 2015-10-27 Hongzhou Lin , Julien Mairal , Zaid Harchaoui

Pre-trained Transformer-based large models have revolutionized personal virtual assistants, but their deployment in cloud environments faces challenges related to data privacy and response latency. Deploying large models closer to the data…

分布式、并行与集群计算 · 计算机科学 2025-07-22 Ziming Dai , Chao Qiu , Fei Gao , Yunfeng Zhao , Xiaofei Wang

Decentralized learning has emerged as an alternative method to the popular parameter-server framework which suffers from high communication burden, single-point failure and scalability issues due to the need of a central server. However,…

机器学习 · 计算机科学 2023-12-19 Guojun Xiong , Gang Yan , Shiqiang Wang , Jian Li

Identifying central nodes using closeness centrality is a critical task in analyzing large-scale complex networks, yet its decentralized computation remains challenging due to high communication overhead. Existing distributed approximation…

分布式、并行与集群计算 · 计算机科学 2025-12-15 Patrick D. Manya , Eugene M. Mbuyi , Gothy T. Ngoie , Jordan F. Masakuna

Decentralized primal-dual methods are widely used for solving decentralized optimization problems, but their updates often rely on the potentially crude first-order Taylor approximations of the objective functions, which can limit…

最优化与控制 · 数学 2026-03-31 Haijuan Liu , Zhuoqing Zheng , Cong Li , Wenying Xu , Xuyang Wu