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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

Stochastic gradient descent (SGD) is a prevalent optimization technique for large-scale distributed machine learning. While SGD computation can be efficiently divided between multiple machines, communication typically becomes a bottleneck…

机器学习 · 计算机科学 2021-05-24 Dmitrii Avdiukhin , Grigory Yaroslavtsev

SOTA decentralized SGD algorithms can overcome the bandwidth bottleneck at the parameter server by using communication collectives like Ring All-Reduce for synchronization. While the parameter updates in distributed SGD may happen…

机器学习 · 计算机科学 2022-11-10 Haoze He , Parijat Dube

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

Asynchronous distributed stochastic gradient descent methods have trouble converging because of stale gradients. A gradient update sent to a parameter server by a client is stale if the parameters used to calculate that gradient have since…

机器学习 · 统计学 2016-01-18 Augustus Odena

In distributed training of deep neural networks, parallel mini-batch SGD is widely used to speed up the training process by using multiple workers. It uses multiple workers to sample local stochastic gradient in parallel, aggregates all…

最优化与控制 · 数学 2018-11-19 Hao Yu , Sen Yang , Shenghuo Zhu

Mini-batch stochastic gradient methods (SGD) are state of the art for distributed training of deep neural networks. Drastic increases in the mini-batch sizes have lead to key efficiency and scalability gains in recent years. However,…

机器学习 · 计算机科学 2020-02-18 Tao Lin , Sebastian U. Stich , Kumar Kshitij Patel , Martin Jaggi

We consider distributed optimization where $N$ nodes in a connected network minimize the sum of their local costs subject to a common constraint set. We propose a distributed projected gradient method where each node, at each iteration $k$,…

信息论 · 计算机科学 2016-08-24 Dusan Jakovetic , Dragana Bajovic , Natasa Krejic , Natasa Krklec-Jerinkic

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

最优化与控制 · 数学 2020-01-08 Bryan Van Scoy , Laurent Lessard

We consider speeding up stochastic gradient descent (SGD) by parallelizing it across multiple workers. We assume the same data set is shared among $n$ workers, who can take SGD steps and coordinate with a central server. Unfortunately, this…

最优化与控制 · 数学 2020-06-05 Artin Spiridonoff , Alex Olshevsky , Ioannis Ch. Paschalidis

In recent years, Graph Convolutional Networks (GCNs) have achieved great success in learning from graph-structured data. With the growing tendency of graph nodes and edges, GCN training by single processor cannot meet the demand for time…

机器学习 · 计算机科学 2021-10-08 Taige Zhao , Xiangyu Song , Jianxin Li , Wei Luo , Imran Razzak

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

机器学习 · 计算机科学 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

Asynchronous stochastic gradient descent (SGD) is attractive from a speed perspective because workers do not wait for synchronization. However, the Transformer model converges poorly with asynchronous SGD, resulting in substantially lower…

计算与语言 · 计算机科学 2021-11-30 Alham Fikri Aji , Kenneth Heafield

Decentralized optimization algorithms have recently attracted increasing attention due to its wide applications in all areas of science and engineering. In these algorithms, a collection of agents collaborate to minimize the average of a…

最优化与控制 · 数学 2024-09-18 Shujing Feng , Xin Jiang

As graphs scale to billions of nodes and edges, graph Machine Learning workloads are constrained by the cost of multi-hop traversals over exponentially growing neighborhoods. While various system-level and algorithmic optimizations have…

机器学习 · 计算机科学 2026-03-10 Yuhang Song , Naima Abrar Shami , Romaric Duvignau , Vasiliki Kalavri

Methods for distributed optimization have received significant attention in recent years owing to their wide applicability in various domains. A distributed optimization method typically consists of two key components: communication and…

最优化与控制 · 数学 2018-06-04 Albert S. Berahas , Raghu Bollapragada , Nitish Shirish Keskar , Ermin Wei

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

系统与控制 · 电气工程与系统科学 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

To address the communication bottleneck challenge in distributed learning, our work introduces a novel two-stage quantization strategy designed to enhance the communication efficiency of distributed Stochastic Gradient Descent (SGD). The…

机器学习 · 计算机科学 2024-02-05 Guangfeng Yan , Tan Li , Yuanzhang Xiao , Congduan Li , Linqi Song

With the rapid growth of data, distributed momentum stochastic gradient descent~(DMSGD) has been widely used in distributed learning, especially for training large-scale deep models. Due to the latency and limited bandwidth of the network,…

机器学习 · 统计学 2024-04-04 Chang-Wei Shi , Shen-Yi Zhao , Yin-Peng Xie , Hao Gao , Wu-Jun Li

Stochastic gradient descent (SGD) now acts as a fundamental part of optimization in current machine learning. Meanwhile, deep learning architectures have shown outstanding performance in a wide range of fields, such as natural language…

机器学习 · 计算机科学 2026-01-27 Zhao Song , Song Yue