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We study the maximum $k$-set coverage problem in the following distributed setting. A collection of sets $S_1,\ldots,S_m$ over a universe $[n]$ is partitioned across $p$ machines and the goal is to find $k$ sets whose union covers the most…

数据结构与算法 · 计算机科学 2018-08-24 Sepehr Assadi , Sanjeev Khanna

Modern realities and trends in learning require more and more generalization ability of models, which leads to an increase in both models and training sample size. It is already difficult to solve such tasks in a single device mode. This is…

最优化与控制 · 数学 2024-12-03 Dmitry Bylinkin , Kirill Degtyarev , Aleksandr Beznosikov

Distributed-memory implementations of numerical optimization algorithm, such as stochastic gradient descent (SGD), require interprocessor communication at every iteration of the algorithm. On modern distributed-memory clusters where…

分布式、并行与集群计算 · 计算机科学 2025-01-14 Aditya Devarakonda , Ramakrishnan Kannan

Compressed Stochastic Gradient Descent (SGD) algorithms have been recently proposed to address the communication bottleneck in distributed and decentralized optimization problems, such as those that arise in federated machine learning.…

机器学习 · 统计学 2022-07-21 Adarsh M. Subramaniam , Akshayaa Magesh , Venugopal V. Veeravalli

The scalability of Distributed Stochastic Gradient Descent (SGD) is today limited by communication bottlenecks. We propose a novel SGD variant: Communication-efficient SGD with Error Reset, or CSER. The key idea in CSER is first a new…

机器学习 · 计算机科学 2020-12-08 Cong Xie , Shuai Zheng , Oluwasanmi Koyejo , Indranil Gupta , Mu Li , Haibin Lin

The loss surface of deep neural networks has recently attracted interest in the optimization and machine learning communities as a prime example of high-dimensional non-convex problem. Some insights were recently gained using spin glass…

机器学习 · 统计学 2017-06-05 C. Daniel Freeman , Joan Bruna

Distributed machine learning enables scalability and computational offloading, but requires significant levels of communication. Consequently, communication efficiency in distributed learning settings is an important consideration,…

机器学习 · 计算机科学 2022-09-27 Yicheng Chen , Rick S. Blum , Brian M. Sadler

One of the most fundamental problems in wireless networks is to achieve high throughput. Fractional Connected Dominating Set (FCDS) Packings can achieve a throughput of ${\Theta}(k/\log n)$ messages for networks with node connectivity $k$,…

分布式、并行与集群计算 · 计算机科学 2015-08-19 Fabian Fuchs , Matthias Wolf

Distributed stochastic gradient descent (SGD) is essential for scaling the machine learning algorithms to a large number of computing nodes. However, the infrastructures variability such as high communication delay or random node slowdown…

机器学习 · 计算机科学 2020-02-25 Jianyu Wang , Hao Liang , Gauri Joshi

This paper studies distributed online convex optimization with time-varying coupled constraints, motivated by distributed online control in network systems. Most prior work assumes a separability condition: the global objective and coupled…

最优化与控制 · 数学 2026-02-18 Zhaoye Pan , Haozhe Lei , Fan Zuo , Zilin Bian , Tao Li

This paper considers optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network to lie in…

多智能体系统 · 计算机科学 2020-04-22 Roula Nassif , Stefan Vlaski , Ali H. Sayed

Communication overhead is the key challenge for distributed training. Gradient compression is a widely used approach to reduce communication traffic. When combining with parallel communication mechanism method like pipeline, gradient…

机器学习 · 计算机科学 2021-09-08 Enda Yu , Dezun Dong , Yemao Xu , Shuo Ouyang , Xiangke Liao

Mirror descent (MD) is a powerful first-order optimization technique that subsumes several optimization algorithms including gradient descent (GD). In this work, we develop a semi-definite programming (SDP) framework to analyze the…

最优化与控制 · 数学 2022-01-19 Youbang Sun , Mahyar Fazlyab , Shahin Shahrampour

Federated learning is a framework for distributed optimization that places emphasis on communication efficiency. In particular, it follows a client-server broadcast model and is particularly appealing because of its ability to accommodate…

机器学习 · 计算机科学 2022-03-30 Han Wang , Siddartha Marella , James Anderson

We propose an innovative algorithm for non-convex composite federated learning that decouples the proximal operator evaluation and the communication between server and clients. Moreover, each client uses local updates to communicate less…

机器学习 · 计算机科学 2025-02-07 Jiaojiao Zhang , Jiang Hu , Mikael Johansson

We present a new method that includes three key components of distributed optimization and federated learning: variance reduction of stochastic gradients, partial participation, and compressed communication. We prove that the new method has…

机器学习 · 计算机科学 2024-01-04 Alexander Tyurin , Peter Richtárik

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

机器学习 · 计算机科学 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

Training large neural networks requires distributing learning across multiple workers, where the cost of communicating gradients can be a significant bottleneck. signSGD alleviates this problem by transmitting just the sign of each…

机器学习 · 计算机科学 2018-08-09 Jeremy Bernstein , Yu-Xiang Wang , Kamyar Azizzadenesheli , Anima Anandkumar

Distributed nonconvex optimization underpins key functionalities of numerous distributed systems, ranging from power systems, smart buildings, cooperative robots, vehicle networks to sensor networks. Recently, it has also merged as a…

最优化与控制 · 数学 2024-03-18 Yanan Bo , Yongqiang Wang

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