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We study the communication complexity of linear algebraic problems over finite fields in the multi-player message passing model, proving a number of tight lower bounds. Specifically, for a matrix which is distributed among a number of…

计算复杂性 · 计算机科学 2014-07-18 Yi Li , Xiaoming Sun , Chengu Wang , David P. Woodruff

In this paper, multi-agent systems minimizing a sum of objective functions, where each component is only known to a particular node, is considered for continuous-time dynamics with time-varying interconnection topologies. Assuming that each…

多智能体系统 · 计算机科学 2015-03-19 Guodong Shi , Karl Henrik Johansson , Yiguang Hong

In this paper, the extension of the framework of Learning from Constraints (LfC) to a distributed setting where multiple parties, connected over the network, contribute to the learning process is studied. LfC relies on the generic notion of…

机器学习 · 计算机科学 2019-11-14 Francesco Farina , Stefano Melacci , Andrea Garulli , Antonio Giannitrapani

Distributed learning has become a critical enabler of the massively connected world envisioned by many. This article discusses four key elements of scalable distributed processing and real-time intelligence --- problems, data, communication…

机器学习 · 计算机科学 2020-06-24 Tsung-Hui Chang , Mingyi Hong , Hoi-To Wai , Xinwei Zhang , Songtao Lu

Distributed linear algebraic equation over networks, where nodes hold a part of problem data and cooperatively solve the equation via node-to-node communications, is a basic distributed computation task receiving an increasing research…

最优化与控制 · 数学 2021-04-28 Peng Yi , Jinlong Lei , Yiguang Hong , Jie Chen , Guodong Shi

The distributed subgradient method (DSG) is a widely discussed algorithm to cope with large-scale distributed optimization problems in the arising machine learning applications. Most exisiting works on DSG focus on ideal communication…

信号处理 · 电气工程与系统科学 2022-08-24 Zhaoyue Xia , Jun Du , Yong Ren

Theoretical works on supervised transfer learning (STL) -- where the learner has access to labeled samples from both source and target distributions -- have for the most part focused on statistical aspects of the problem, while efficient…

机器学习 · 统计学 2025-07-08 Yuyang Deng , Samory Kpotufe

In decentralized optimization over networks, synchronizing the updates of all nodes incurs significant communication overhead. For this reason, much of the recent literature has focused on the analysis and design of asynchronous…

This paper studies the stochastic distributed nonconvex optimization problem over a network of agents, where agents only access stochastic zeroth-order information about their local cost functions and collaboratively optimize the global…

最优化与控制 · 数学 2025-09-01 Haonan Wang , Xinlei Yi , Yiguang Hong

To design algorithms that reduce communication cost or meet rate constraints and are robust to communication noise, we study convex distributed optimization problems where a set of agents are interested in solving a separable optimization…

最优化与控制 · 数学 2023-05-02 Hadi Reisizadeh , Anand Gokhale , Behrouz Touri , Soheil Mohajer

We consider the problem of distributed learning, where a network of agents collectively aim to agree on a hypothesis that best explains a set of distributed observations of conditionally independent random processes. We propose a…

最优化与控制 · 数学 2017-04-12 Angelia Nedić , Alex Olshevsky , César A. Uribe

We study the approximability of general convex sets in $\mathbb{R}^n$ by intersections of halfspaces, where the approximation quality is measured with respect to the standard Gaussian distribution $N(0,I_n)$ and the complexity of an…

计算复杂性 · 计算机科学 2023-11-16 Anindya De , Shivam Nadimpalli , Rocco A. Servedio

We consider the problem of learning the structure of undirected graphical models with bounded treewidth, within the maximum likelihood framework. This is an NP-hard problem and most approaches consider local search techniques. In this…

机器学习 · 计算机科学 2012-12-12 K. S. Sesh Kumar , Francis Bach

With the rapid growth in the volume of data sets, models, and devices in the domain of deep learning, there is increasing attention on large-scale distributed deep learning. In contrast to traditional distributed deep learning, the…

分布式、并行与集群计算 · 计算机科学 2024-04-10 Feng Liang , Zhen Zhang , Haifeng Lu , Victor C. M. Leung , Yanyi Guo , Xiping Hu

Training deep neural network is a high dimensional and a highly non-convex optimization problem. Stochastic gradient descent (SGD) algorithm and it's variations are the current state-of-the-art solvers for this task. However, due to…

机器学习 · 计算机科学 2017-01-17 Xi He , Dheevatsa Mudigere , Mikhail Smelyanskiy , Martin Takáč

A visible light communication (VLC) system can adopt multi-color light emitting diode (LED) arrays to support multiple users. In this paper, a multi-layer coding and constrained partial group decoding (CPGD) method is proposed to tackle…

信号处理 · 电气工程与系统科学 2018-05-22 Guangtao Zheng , Chen Gong , Zhengyuan Xu

Inspired by the great success of machine learning in the past decade, people have been thinking about the possibility of improving the theoretical results by exploring data distribution. In this paper, we revisit a fundamental problem…

数据结构与算法 · 计算机科学 2020-06-24 Hao Wu , Junhao Gan , Rui Zhang

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

最优化与控制 · 数学 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

The growth of large language models (LLMs) increases challenges of accelerating distributed training across multiple GPUs in different data centers. Moreover, concerns about data privacy and data exhaustion have heightened interest in…

分布式、并行与集群计算 · 计算机科学 2025-02-18 Zhenheng Tang , Zichen Tang , Junlin Huang , Xinglin Pan , Rudan Yan , Yuxin Wang , Amelie Chi Zhou , Shaohuai Shi , Xiaowen Chu , Bo Li

We study distributed optimization algorithms for minimizing the average of convex functions. The applications include empirical risk minimization problems in statistical machine learning where the datasets are large and have to be stored on…

最优化与控制 · 数学 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang