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Decentralized stochastic optimization methods have gained a lot of attention recently, mainly because of their cheap per iteration cost, data locality, and their communication-efficiency. In this paper we introduce a unified convergence…

机器学习 · 计算机科学 2021-03-03 Anastasia Koloskova , Nicolas Loizou , Sadra Boreiri , Martin Jaggi , Sebastian U. Stich

Local SGD is a popular optimization method in distributed learning, often outperforming other algorithms in practice, including mini-batch SGD. Despite this success, theoretically proving the dominance of local SGD in settings with…

This thesis contributes to the theoretical understanding of local update algorithms, especially Local SGD, in distributed and federated optimization under realistic models of data heterogeneity. A central focus is on the bounded…

机器学习 · 计算机科学 2025-07-02 Kumar Kshitij Patel

We propose Multi-Level Local SGD, a distributed gradient method for learning a smooth, non-convex objective in a heterogeneous multi-level network. Our network model consists of a set of disjoint sub-networks, with a single hub and multiple…

机器学习 · 计算机科学 2022-02-21 Timothy Castiglia , Anirban Das , Stacy Patterson

We study adaptive aggregation for heterogeneous local SGD in convex finite-sum optimization, allowing heterogeneous local horizons, minibatch sizes, gradient noise, and participation. We introduce HEW-Local SGD, a corrected local-SGD method…

最优化与控制 · 数学 2026-04-29 Dmitry Pasechnyuk-Vilensky , Martin Takáč

Mini-batch stochastic gradient descent (SGD) is state of the art in large scale distributed training. The scheme can reach a linear speedup with respect to the number of workers, but this is rarely seen in practice as the scheme often…

最优化与控制 · 数学 2019-05-06 Sebastian U. Stich

Distributed optimization plays an important role in modern large-scale machine learning and data processing systems by optimizing the utilization of computational resources. One of the classical and popular approaches is Local Stochastic…

最优化与控制 · 数学 2024-12-19 Andrey Sadchikov , Savelii Chezhegov , Aleksandr Beznosikov , Alexander Gasnikov

We consider the distributed stochastic optimization problem where $n$ agents want to minimize a global function given by the sum of agents' local functions, and focus on the heterogeneous setting when agents' local functions are defined…

机器学习 · 计算机科学 2023-10-19 Tiancheng Qin , S. Rasoul Etesami , César A. Uribe

With multiple iterations of updates, local statistical gradient descent (L-SGD) has been proven to be very effective in distributed machine learning schemes such as federated learning. In fact, many innovative works have shown that L-SGD…

机器学习 · 计算机科学 2023-05-29 Linxuan Pan , Shenghui Song

In federated distributed learning, the goal is to optimize a global training objective defined over distributed devices, where the data shard at each device is sampled from a possibly different distribution (a.k.a., heterogeneous or non…

机器学习 · 计算机科学 2019-12-10 Farzin Haddadpour , Mehrdad Mahdavi

Communication overhead is one of the key challenges that hinders the scalability of distributed optimization algorithms. In this paper, we study local distributed SGD, where data is partitioned among computation nodes, and the computation…

机器学习 · 计算机科学 2020-05-15 Farzin Haddadpour , Mohammad Mahdi Kamani , Mehrdad Mahdavi , Viveck R. Cadambe

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

Stochastic gradient descent (SGD) is a widely adopted iterative method for optimizing differentiable objective functions. In this paper, we propose and discuss a novel approach to scale up SGD in applications involving non-convex functions…

机器学习 · 统计学 2022-10-07 Saad Mohamad , Hamad Alamri , Abdelhamid Bouchachia

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. While it is…

分布式、并行与集群计算 · 计算机科学 2021-10-28 Artin Spiridonoff , Alex Olshevsky , Ioannis Ch. Paschalidis

Local SGD is a promising approach to overcome the communication overhead in distributed learning by reducing the synchronization frequency among worker nodes. Despite the recent theoretical advances of local SGD in empirical risk…

机器学习 · 计算机科学 2021-03-01 Yuyang Deng , Mehrdad Mahdavi

This paper presents a new generalization error analysis for Decentralized Stochastic Gradient Descent (D-SGD) based on algorithmic stability. The obtained results overhaul a series of recent works that suggested an increased instability due…

机器学习 · 计算机科学 2024-06-14 Batiste Le Bars , Aurélien Bellet , Marc Tommasi , Kevin Scaman , Giovanni Neglia

One of the most common methods to train machine learning algorithms today is the stochastic gradient descent (SGD). In a distributed setting, SGD-based algorithms have been shown to converge theoretically under specific circumstances. A…

机器学习 · 计算机科学 2025-08-22 Soumya Sarkar , Shweta Jain

We analyze Local SGD (aka parallel or federated SGD) and Minibatch SGD in the heterogeneous distributed setting, where each machine has access to stochastic gradient estimates for a different, machine-specific, convex objective; the goal is…

机器学习 · 计算机科学 2022-03-02 Blake Woodworth , Kumar Kshitij Patel , Nathan Srebro

When using stochastic gradient descent to solve large-scale machine learning problems, a common practice of data processing is to shuffle the training data, partition the data across multiple machines if needed, and then perform several…

机器学习 · 统计学 2017-10-02 Qi Meng , Wei Chen , Yue Wang , Zhi-Ming Ma , Tie-Yan Liu

Hogwild! implements asynchronous Stochastic Gradient Descent (SGD) where multiple threads in parallel access a common repository containing training data, perform SGD iterations and update shared state that represents a jointly learned…

机器学习 · 计算机科学 2021-03-02 Marten van Dijk , Nhuong V. Nguyen , Toan N. Nguyen , Lam M. Nguyen , Quoc Tran-Dinh , Phuong Ha Nguyen
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