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Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

最优化与控制 · 数学 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

Communication is a major bottleneck in distributed learning, especially in large-scale settings and in federated learning environments with slow links. Three standard ways to reduce this cost are communication compression, local training,…

机器学习 · 计算机科学 2026-05-21 Yassine Maziane , Ammar Mahran , Artavazd Maranjyan , Peter Richtárik

Scaling distributed training of Large Language Models (LLMs) requires not only algorithmic advances but also efficient utilization of heterogeneous hardware resources. While existing methods such as DiLoCo have demonstrated promising…

In distributed deep learning with data parallelism, synchronizing gradients at each training step can cause a huge communication overhead, especially when many nodes work together to train large models. Local gradient methods, such as Local…

机器学习 · 计算机科学 2024-04-15 Xinran Gu , Kaifeng Lyu , Sanjeev Arora , Jingzhao Zhang , Longbo Huang

A scaled conjugate gradient method that accelerates existing adaptive methods utilizing stochastic gradients is proposed for solving nonconvex optimization problems with deep neural networks. It is shown theoretically that, whether with…

机器学习 · 计算机科学 2024-12-17 Naoki Sato , Koshiro Izumi , Hideaki Iiduka

Scalable machine learning over big data is an important problem that is receiving a lot of attention in recent years. On popular distributed environments such as Hadoop running on a cluster of commodity machines, communication costs are…

机器学习 · 计算机科学 2015-03-18 Dhruv Mahajan , Nikunj Agrawal , S. Sathiya Keerthi , S. Sundararajan , Leon Bottou

Distributed deep learning (DL) has become prevalent in recent years to reduce training time by leveraging multiple computing devices (e.g., GPUs/TPUs) due to larger models and datasets. However, system scalability is limited by…

分布式、并行与集群计算 · 计算机科学 2023-09-04 Zhenheng Tang , Shaohuai Shi , Wei Wang , Bo Li , Xiaowen Chu

A major obstacle to achieving global convergence in distributed and federated learning is the misalignment of gradients across clients, or mini-batches due to heterogeneity and stochasticity of the distributed data. In this work, we show…

机器学习 · 计算机科学 2021-12-14 Yatin Dandi , Luis Barba , Martin Jaggi

We study how the batch size affects the total gradient variance in differentially private stochastic gradient descent (DP-SGD), seeking a theoretical explanation for the usefulness of large batch sizes. As DP-SGD is the basis of modern DP…

机器学习 · 统计学 2024-09-20 Ossi Räisä , Joonas Jälkö , Antti Honkela

As deep learning models and datasets rapidly scale up, network training is extremely time-consuming and resource-costly. Instead of training on the entire dataset, learning with a small synthetic dataset becomes an efficient solution.…

机器学习 · 计算机科学 2022-08-02 Zixuan Jiang , Jiaqi Gu , Mingjie Liu , David Z. Pan

In distributed and federated learning algorithms, communication overhead is often reduced by performing multiple local updates between communication rounds. However, due to data heterogeneity across nodes and the local gradient noise within…

机器学习 · 计算机科学 2025-12-02 Yan Huang , Jinming Xu , Jiming Chen , Karl Henrik Johansson

In this work, we explore the capabilities of multiplexed gradient descent (MGD), a scalable and efficient perturbative zeroth-order training method for estimating the gradient of a loss function in hardware and training it via stochastic…

机器学习 · 计算机科学 2025-05-01 Bakhrom G. Oripov , Andrew Dienstfrey , Adam N. McCaughan , Sonia M. Buckley

We consider distributed learning scenarios where M machines interact with a parameter server along several communication rounds in order to minimize a joint objective function. Focusing on the heterogeneous case, where different machines…

机器学习 · 计算机科学 2025-01-22 Tehila Dahan , Kfir Y. Levy

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

Stochastic gradient descent is a canonical tool for addressing stochastic optimization problems, and forms the bedrock of modern machine learning and statistics. In this work, we seek to balance the fact that attenuating step-size is…

信号处理 · 电气工程与系统科学 2020-07-10 Zhan Gao , Alec Koppel , Alejandro Ribeiro

We study the asynchronous stochastic gradient descent algorithm for distributed training over $n$ workers which have varying computation and communication frequency over time. In this algorithm, workers compute stochastic gradients in…

机器学习 · 计算机科学 2022-06-17 Anastasia Koloskova , Sebastian U. Stich , Martin Jaggi

In this paper, we propose a novel approach to automatically determine the batch size in stochastic gradient descent methods. The choice of the batch size induces a trade-off between the accuracy of the gradient estimate and the cost in…

机器学习 · 计算机科学 2017-12-12 Matteo Pirotta , Marcello Restelli

A fundamental challenge in Deep Learning is to find optimal step sizes for stochastic gradient descent automatically. In traditional optimization, line searches are a commonly used method to determine step sizes. One problem in Deep…

机器学习 · 计算机科学 2022-02-22 Maximus Mutschler , Kevin Laube , Andreas Zell

Distance metric learning (DML) is an important task that has found applications in many domains. The high computational cost of DML arises from the large number of variables to be determined and the constraint that a distance metric has to…

机器学习 · 计算机科学 2013-04-05 Qi Qian , Rong Jin , Jinfeng Yi , Lijun Zhang , Shenghuo Zhu

Motivated by applications in machine learning and statistics, we study distributed optimization problems over a network of processors, where the goal is to optimize a global objective composed of a sum of local functions. In these problems,…

最优化与控制 · 数学 2019-05-14 Thinh T. Doan , Carolyn L. Beck , R. Srikant