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As the size of models and datasets grows, it has become increasingly common to train models in parallel. However, existing distributed stochastic gradient descent (SGD) algorithms suffer from insufficient utilization of computational…

机器学习 · 计算机科学 2023-08-30 Xin Zhou , Ling Chen , Houming Wu

We study COMP-AMS, a distributed optimization framework based on gradient averaging and adaptive AMSGrad algorithm. Gradient compression with error feedback is applied to reduce the communication cost in the gradient transmission process.…

机器学习 · 统计学 2022-05-12 Xiaoyun Li , Belhal Karimi , Ping Li

We present a novel compression framework for 3D Gaussian splatting (3DGS) data that leverages transform coding tools originally developed for point clouds. Contrary to existing 3DGS compression methods, our approach can produce compressed…

图像与视频处理 · 电气工程与系统科学 2025-06-03 Chenjunjie Wang , Shashank N. Sridhara , Eduardo Pavez , Antonio Ortega , Cheng Chang

Large neural network models present a hefty communication challenge to distributed Stochastic Gradient Descent (SGD), with a communication complexity of O(n) per worker for a model of n parameters. Many sparsification and quantization…

机器学习 · 计算机科学 2020-06-17 Subhadeep Bhattacharya , Weikuan Yu , Fahim Tahmid Chowdhury

The fluctuation effect of gradient expectation and variance caused by parameter update between consecutive iterations is neglected or confusing by current mainstream gradient optimization algorithms.Using this fluctuation effect, combined…

机器学习 · 统计学 2022-02-23 Aixiang , Chen , Jinting Zhang , Zanbo Zhang , Zhihong Li

A standard approach in large scale machine learning is distributed stochastic gradient training, which requires the computation of aggregated stochastic gradients over multiple nodes on a network. Communication is a major bottleneck in such…

分布式、并行与集群计算 · 计算机科学 2020-03-24 Hanlin Tang , Xiangru Lian , Chen Yu , Tong Zhang , Ji Liu

Stochastic gradient descent (SGD) is a promising method for solving large-scale inverse problems, due to its excellent scalability with respect to data size. In this work, we analyze a new data-driven regularized stochastic gradient descent…

数值分析 · 数学 2024-09-30 Zehui Zhou

Stochastic gradient descent (SGD) is a scalable and memory-efficient optimization algorithm for large datasets and stream data, which has drawn a great deal of attention and popularity. The applications of SGD-based estimators to…

统计方法学 · 统计学 2026-03-04 Ruiqi Liu , Xi Chen , Zuofeng Shang

We develop two compression based stochastic gradient algorithms to solve a class of non-smooth strongly convex-strongly concave saddle-point problems in a decentralized setting (without a central server). Our first algorithm is a…

机器学习 · 计算机科学 2023-04-17 Chhavi Sharma , Vishnu Narayanan , P. Balamurugan

Stochastic Gradient Descent (SGD) is one of the most widely used techniques for online optimization in machine learning. In this work, we accelerate SGD by adaptively learning how to sample the most useful training examples at each time…

机器学习 · 计算机科学 2016-03-16 Guillaume Bouchard , Théo Trouillon , Julien Perez , Adrien Gaidon

Gradient compression is a recent and increasingly popular technique for reducing the communication cost in distributed training of large-scale machine learning models. In this work we focus on developing efficient distributed methods that…

最优化与控制 · 数学 2020-10-02 Xun Qian , Peter Richtárik , Tong Zhang

Distributed stochastic optimization intertwines (i) stochastic gradient noise, (ii) communication compression, and (iii) adaptive/normalized updates. While each factor has been studied in isolation, their joint effect under realistic…

Communication compression is a crucial technique for modern distributed learning systems to alleviate their communication bottlenecks over slower networks. Despite recent intensive studies of gradient compression for data parallel-style…

机器学习 · 计算机科学 2023-03-08 Jue Wang , Binhang Yuan , Luka Rimanic , Yongjun He , Tri Dao , Beidi Chen , Christopher Re , Ce Zhang

Stochastic gradient descent (SGD) algorithm and its variations have been effectively used to optimize neural network models. However, with the rapid growth of big data and deep learning, SGD is no longer the most suitable choice due to its…

机器学习 · 计算机科学 2024-02-13 Anuraganand Sharma

In centralized settings, it is well known that stochastic gradient descent (SGD) avoids saddle points and converges to local minima in nonconvex problems. However, similar guarantees are lacking for distributed first-order algorithms. The…

最优化与控制 · 数学 2022-03-07 Brian Swenson , Ryan Murray , H. Vincent Poor , Soummya Kar

In this paper, we propose a unified analysis of variants of distributed SGD with arbitrary compressions and delayed updates. Our framework is general enough to cover different variants of quantized SGD, Error-Compensated SGD (EC-SGD) and…

最优化与控制 · 数学 2020-10-26 Eduard Gorbunov , Dmitry Kovalev , Dmitry Makarenko , Peter Richtárik

We consider a distributed learning problem in which the computation is carried out on a system consisting of a master node and multiple worker nodes. In such systems, the existence of slow-running machines called stragglers will cause a…

信息论 · 计算机科学 2019-01-16 Shunsuke Horii , Takahiro Yoshida , Manabu Kobayashi , Toshiyasu Matsushima

Stochastic Gradient Descent (SGD) is a known stochastic iterative method popular for large-scale convex optimization problems due to its simple implementation and scalability. Some objectives, such as those found in complex-valued neural…

机器学习 · 计算机科学 2026-05-26 Natanael Alpay , Emeric Battaglia

Stochastic gradient descent (SGD) is a standard optimization method to minimize a training error with respect to network parameters in modern neural network learning. However, it typically suffers from proliferation of saddle points in the…

机器学习 · 计算机科学 2017-11-23 Haiping Huang , Taro Toyoizumi

We study the Stochastic Gradient Descent (SGD) method in nonconvex optimization problems from the point of view of approximating diffusion processes. We prove rigorously that the diffusion process can approximate the SGD algorithm weakly…

机器学习 · 统计学 2018-03-06 Wenqing Hu , Chris Junchi Li , Lei Li , Jian-Guo Liu