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Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

最优化与控制 · 数学 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

We investigate algorithms to find short paths in spatial networks with stochastic edge weights. Our formulation of the problem of finding short paths differs from traditional formulations because we specifically do not make two of the usual…

社会与信息网络 · 计算机科学 2013-09-06 Till Hoffmann , Renaud Lambiotte , Mason A. Porter

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. Recent advances using the distributed gradient…

最优化与控制 · 数学 2019-05-14 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

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

We study the consensus decentralized optimization problem where the objective function is the average of $n$ agents private non-convex cost functions; moreover, the agents can only communicate to their neighbors on a given network topology.…

分布式、并行与集群计算 · 计算机科学 2022-07-20 Sulaiman A. Alghunaim , Kun Yuan

Decentralized optimization with time-varying networks is an emerging paradigm in machine learning. It saves remarkable communication overhead in large-scale deep training and is more robust in wireless scenarios especially when nodes are…

机器学习 · 计算机科学 2022-11-02 Xinmeng Huang , Kun Yuan

This paper considers a general stochastic resource allocation problem that arises widely in wireless networks, cognitive radio, networks, smart-grid communications, and cross-layer design. The problem formulation involves expectations with…

最优化与控制 · 数学 2017-12-12 Amrit Singh Bedi , Ketan Rajawat

This paper seeks an efficient algorithm for stochastic precoding to maximize the long-term average weighted sum rates throughout a multiple-input multiple-output (MIMO) network. Unlike many existing works that assume a particular…

信息论 · 计算机科学 2026-03-10 Wenyu Wang , Kaiming Shen

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

最优化与控制 · 数学 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

数据结构与算法 · 计算机科学 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

This paper describes a novel algorithmic framework to minimize a finite-sum of functions available over a network of nodes. The proposed framework, that we call~\GTVR, is stochastic and decentralized, and thus is particularly suitable for…

最优化与控制 · 数学 2020-12-02 Ran Xin , Usman A. Khan , Soummya Kar

Distributed training is an effective way to accelerate the training process of large-scale deep learning models. However, the parameter exchange and synchronization of distributed stochastic gradient descent introduce a large amount of…

分布式、并行与集群计算 · 计算机科学 2021-08-16 LingFei Dai , Boyu Diao , Chao Li , Yongjun Xu

This paper considers decentralized optimization with application to machine learning on graphs. The growing size of neural network (NN) models has motivated prior works on decentralized stochastic gradient algorithms to incorporate…

最优化与控制 · 数学 2021-10-12 Arjun Ashok Rao , Hoi-To Wai

Stochastic gradient MCMC methods, such as stochastic gradient Langevin dynamics (SGLD), employ fast but noisy gradient estimates to enable large-scale posterior sampling. Although we can easily extend SGLD to distributed settings, it…

机器学习 · 统计学 2021-06-16 Khaoula El Mekkaoui , Diego Mesquita , Paul Blomstedt , Samuel Kaski

Consider $n$ agents connected over a network collaborating to minimize the average of their local cost functions combined with a common nonsmooth function. This paper introduces a unified algorithmic framework for solving such a problem…

最优化与控制 · 数学 2026-05-05 Kun Huang , Shi Pu , Angelia Nedić

We consider centralized distributed optimization in the classical federated learning setup, where $n$ workers jointly find an $\varepsilon$-stationary point of an $L$-smooth, $d$-dimensional nonconvex function $f$, having access only to…

最优化与控制 · 数学 2026-03-31 Alexander Tyurin

Decentralized sparsity learning has attracted a significant amount of attention recently due to its rapidly growing applications. To obtain the robust and sparse estimators, a natural idea is to adopt the non-smooth median loss combined…

机器学习 · 统计学 2022-03-02 Weidong Liu , Xiaojun Mao , Xin Zhang

The paper studies the distributed stochastic compositional optimization problems over networks, where all the agents' inner-level function is the sum of each agent's private expectation function. Focusing on the aggregative structure of the…

最优化与控制 · 数学 2022-11-10 Shengchao Zhao , Yongchao Liu

Despite the recent success of Graph Neural Networks, it remains challenging to train a GNN on large graphs with millions of nodes and billions of edges, which are prevalent in many graph-based applications. Traditional sampling-based…

机器学习 · 计算机科学 2022-10-04 Zheng Chai , Guangji Bai , Liang Zhao , Yue Cheng

We propose a flexible gradient tracking approach with adjustable computation and communication steps for solving distributed stochastic optimization problem over networks. The proposed method allows each node to perform multiple local…

最优化与控制 · 数学 2023-06-13 Yan Huang , Jinming Xu
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