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Huge scale machine learning problems are nowadays tackled by distributed optimization algorithms, i.e. algorithms that leverage the compute power of many devices for training. The communication overhead is a key bottleneck that hinders…

机器学习 · 计算机科学 2018-11-30 Sebastian U. Stich , Jean-Baptiste Cordonnier , Martin Jaggi

Stochastic Gradient Descent (SGD) is a central tool in machine learning. We prove that SGD converges to zero loss, even with a fixed (non-vanishing) learning rate - in the special case of homogeneous linear classifiers with smooth monotone…

机器学习 · 统计学 2022-04-19 Mor Shpigel Nacson , Nathan Srebro , Daniel Soudry

Humans are able to accelerate their learning by selecting training materials that are the most informative and at the appropriate level of difficulty. We propose a framework for distributing deep learning in which one set of workers search…

机器学习 · 统计学 2016-04-19 Guillaume Alain , Alex Lamb , Chinnadhurai Sankar , Aaron Courville , Yoshua Bengio

Stochastic gradient descent (SGD) provides a simple and efficient way to solve a broad range of machine learning problems. Here, we focus on distribution regression (DR), involving two stages of sampling: Firstly, we regress from…

机器学习 · 统计学 2021-03-08 Nicole Mücke

Decentralized stochastic gradient descent (SGD) is a driving engine for decentralized federated learning (DFL). The performance of decentralized SGD is jointly influenced by inter-node communications and local updates. In this paper, we…

机器学习 · 计算机科学 2022-02-14 Wei Liu , Li Chen , Wenyi Zhang

Distributed Stochastic Gradient Descent (SGD) when run in a synchronous manner, suffers from delays in waiting for the slowest learners (stragglers). Asynchronous methods can alleviate stragglers, but cause gradient staleness that can…

机器学习 · 统计学 2018-05-11 Sanghamitra Dutta , Gauri Joshi , Soumyadip Ghosh , Parijat Dube , Priya Nagpurkar

In centralized, distributed, and federated learning with stochastic gradients and $n$ workers, it was recently shown that it is infeasible to find an $\varepsilon$-stationary point faster than $\tilde{\Omega}\left(\min\left\{\frac{d \kappa…

最优化与控制 · 数学 2026-05-11 Grigory Begunov , Alexander Tyurin

Stochastic distributed optimization methods that solve an optimization problem over a multi-agent network have played an important role in a variety of large-scale signal processing and machine leaning applications. Among the existing…

最优化与控制 · 数学 2023-02-06 Songyang Ge , Tsung-Hui Chang

Stochastic gradient descent (SGD) is one of the most widely used optimization methods for parallel and distributed processing of large datasets. One of the key limitations of distributed SGD is the need to regularly communicate the…

最优化与控制 · 数学 2018-10-25 Xiaojian Xu , Ulugbek S. Kamilov

We propose a family of adaptive integer compression operators for distributed Stochastic Gradient Descent (SGD) that do not communicate a single float. This is achieved by multiplying floating-point vectors with a number known to every…

机器学习 · 计算机科学 2022-03-22 Konstantin Mishchenko , Bokun Wang , Dmitry Kovalev , Peter Richtárik

We develop a general framework unifying several gradient-based stochastic optimization methods for empirical risk minimization problems both in centralized and distributed scenarios. The framework hinges on the introduction of an augmented…

最优化与控制 · 数学 2022-07-11 Yan Huang , Ying Sun , Zehan Zhu , Changzhi Yan , Jinming Xu

We present a unified theorem for the convergence analysis of stochastic gradient algorithms for minimizing a smooth and convex loss plus a convex regularizer. We do this by extending the unified analysis of Gorbunov, Hanzely \& Richt\'arik…

机器学习 · 计算机科学 2020-06-23 Ahmed Khaled , Othmane Sebbouh , Nicolas Loizou , Robert M. Gower , Peter Richtárik

This paper develops a communication-efficient algorithm to solve the stochastic optimization problem defined over a distributed network, aiming at reducing the burdensome communication in applications such as distributed machine…

机器学习 · 统计学 2020-01-06 Weiyu Li , Tianyi Chen , Liping Li , Zhaoxian Wu , Qing Ling

Distributed training is an effective way to accelerate the training process of large-scale deep learning models. However, the parameter exchange and synchronization of distributed stochastic gradient descent introduce a large amount of…

分布式、并行与集群计算 · 计算机科学 2021-08-16 LingFei Dai , Boyu Diao , Chao Li , Yongjun Xu

Stochastic Gradient Descent (SGD) is a fundamental algorithm in machine learning, representing the optimization backbone for training several classic models, from regression to neural networks. Given the recent practical focus on…

分布式、并行与集群计算 · 计算机科学 2018-06-25 Dan Alistarh , Christopher De Sa , Nikola Konstantinov

Stochastic gradient descent (SGD) has taken the stage as the primary workhorse for large-scale machine learning. It is often used with its adaptive variants such as AdaGrad, Adam, and AMSGrad. This paper proposes an adaptive stochastic…

机器学习 · 计算机科学 2021-01-01 Tianyi Chen , Ziye Guo , Yuejiao Sun , Wotao Yin

As the size and complexity of models and datasets grow, so does the need for communication-efficient variants of stochastic gradient descent that can be deployed to perform parallel model training. One popular communication-compression…

机器学习 · 计算机科学 2021-05-05 Ali Ramezani-Kebrya , Fartash Faghri , Ilya Markov , Vitalii Aksenov , Dan Alistarh , Daniel M. Roy

As the size and complexity of models and datasets grow, so does the need for communication-efficient variants of stochastic gradient descent that can be deployed to perform parallel model training. One popular communication-compression…

机器学习 · 计算机科学 2021-05-24 Ali Ramezani-Kebrya , Fartash Faghri , Ilya Markov , Vitalii Aksenov , Dan Alistarh , Daniel M. Roy

Nowadays, massive datasets are typically dispersed across multiple locations, encountering dual challenges of high dimensionality and huge sample size. Therefore, it is necessary to explore sufficient dimension reduction (SDR) methods for…

统计方法学 · 统计学 2025-09-16 Hongying Li , Minyi Zhu , Yaqi Cao , Xinyi Xu

Stochastic optimization algorithms with variance reduction have proven successful for minimizing large finite sums of functions. Unfortunately, these techniques are unable to deal with stochastic perturbations of input data, induced for…

机器学习 · 统计学 2017-11-16 Alberto Bietti , Julien Mairal