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Decentralized stochastic gradient method emerges as a promising solution for solving large-scale machine learning problems. This paper studies the decentralized Markov chain gradient descent (DMGD) algorithm - a variant of the decentralized…

最优化与控制 · 数学 2021-04-14 Tao Sun , Dongsheng Li

Recently, decentralized optimization over the Stiefel manifold has attacked tremendous attentions due to its wide range of applications in various fields. Existing methods rely on the gradients to update variables, which are not applicable…

最优化与控制 · 数学 2024-01-09 Lei Wang , Xin Liu

Decentralized training of deep learning models is a key element for enabling data privacy and on-device learning over networks. In realistic learning scenarios, the presence of heterogeneity across different clients' local datasets poses an…

机器学习 · 计算机科学 2021-06-21 Tao Lin , Sai Praneeth Karimireddy , Sebastian U. Stich , Martin Jaggi

Decentralized Federated Graph Learning (DFGL) overcomes potential bottlenecks of the parameter server in FGL by establishing a peer-to-peer (P2P) communication network among workers. However, while extensive cross-worker communication of…

分布式、并行与集群计算 · 计算机科学 2025-09-11 Shilong Wang , Jianchun Liu , Hongli Xu , Chenxia Tang , Qianpiao Ma , Liusheng Huang

Muon is a recently proposed optimizer that enforces orthogonality in parameter updates by projecting gradients onto the Stiefel manifold, leading to stable and efficient training in large-scale deep neural networks. Meanwhile, the…

机器学习 · 计算机科学 2026-03-18 Hideaki Iiduka

This paper considers decentralized optimization of convex functions with mixed affine equality constraints involving both local and global variables. Constraints on global variables may vary across different nodes in the network, while…

最优化与控制 · 数学 2026-02-05 Demyan Yarmoshik , Nhat Trung Nguyen , Alexander Rogozin , Alexander Gasnikov

Decentralized learning has recently been attracting increasing attention for its applications in parallel computation and privacy preservation. Many recent studies stated that the underlying network topology with a faster consensus rate…

机器学习 · 计算机科学 2023-10-17 Yuki Takezawa , Ryoma Sato , Han Bao , Kenta Niwa , Makoto Yamada

Graph matching is a fundamental tool in computer vision and pattern recognition. In this paper, we introduce an algorithm for graph matching based on the proximal operator, referred to as differentiable proximal graph matching (DPGM).…

计算机视觉与模式识别 · 计算机科学 2024-05-28 Haoru Tan , Chuang Wang , Xu-Yao Zhang , Cheng-Lin Liu

While Graph Neural Networks (GNNs) excel on graph-structured data, their performance is fundamentally limited by the quality of the observed graph, which often contains noise, missing links, or structural properties misaligned with GNNs'…

机器学习 · 计算机科学 2026-01-14 Hao Deng , Bo Liu

Decentralized optimization algorithms have received much attention due to the recent advances in network information processing. However, conventional decentralized algorithms based on projected gradient descent are incapable of handling…

最优化与控制 · 数学 2018-08-29 Hoi-To Wai , Jean Lafond , Anna Scaglione , Eric Moulines

The problem of decentralized multi-robot target tracking asks for jointly selecting actions, e.g., motion primitives, for the robots to maximize target tracking performance with local communications. One major challenge for practical…

机器人学 · 计算机科学 2022-09-15 Lifeng Zhou , Vishnu D. Sharma , Qingbiao Li , Amanda Prorok , Alejandro Ribeiro , Pratap Tokekar , Vijay Kumar

Recent advances in spectral optimization, notably Muon, have demonstrated that constraining update steps to the Stiefel manifold can significantly accelerate training and improve generalization. However, Muon implicitly assumes an isotropic…

机器学习 · 计算机科学 2026-04-02 Yechen Zhang , Shuhao Xing , Junhao Huang , Kai Lv , Yunhua Zhou , Xipeng Qiu , Qipeng Guo , Kai Chen

The present paper considers leveraging network topology information to improve the convergence rate of ADMM for decentralized optimization, where networked nodes work collaboratively to minimize the objective. Such problems can be solved…

最优化与控制 · 数学 2019-05-28 Meng Ma , Bingcong Li , Georgios B. Giannakis

We analyze convergence of decentralized cooperative online estimation algorithms by a network of multiple nodes via information exchanging in an uncertain environment. Each node has a linear observation of an unknown parameter with randomly…

信号处理 · 电气工程与系统科学 2020-12-08 Jiexiang Wang , Tao Li , Xiwei Zhang

Graph matching is one of the most significant graph analytic tasks, which aims to find the node correspondence across different graphs. Most existing graph matching approaches mainly rely on topological information, whose performances are…

人工智能 · 计算机科学 2024-10-15 Haoran Cheng , Dixin Luo , Hongteng Xu

This paper introduces a novel method for eigenvalue computation using a distributed cooperative neural network framework. Unlike traditional techniques that face scalability challenges in large systems, our decentralized algorithm enables…

机器学习 · 计算机科学 2024-09-20 Ronald Katende

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

We introduce a novel decentralized monitoring algorithm for mobile ad-hoc networks. This algorithm is a combination of gossip-based and tree-based approaches. Its main feature is on multi root nodes selection which provides an opportunity…

网络与互联网体系结构 · 计算机科学 2017-12-06 Jose Alvarez , Stephane Maag , Fatiha Zaidi

Decentralized distributed optimization over time-varying graphs (networks) is nowadays a very popular branch of research in optimization theory and consensus theory. One of the motivations to consider such networks is an application to…

最优化与控制 · 数学 2020-06-24 Alexander Rogozin , Alexander Gasnikov

We propose a novel decoding approach for neural machine translation (NMT) based on continuous optimisation. We convert decoding - basically a discrete optimization problem - into a continuous optimization problem. The resulting constrained…

计算与语言 · 计算机科学 2017-07-25 Cong Duy Vu Hoang , Gholamreza Haffari , Trevor Cohn