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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

Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

最优化与控制 · 数学 2022-05-31 Marina Danilova , Eduard Gorbunov

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

Recent developments on large-scale distributed machine learning applications, e.g., deep neural networks, benefit enormously from the advances in distributed non-convex optimization techniques, e.g., distributed Stochastic Gradient Descent…

最优化与控制 · 数学 2019-05-13 Hao Yu , Rong Jin , Sen Yang

Lossy gradient compression, with either unbiased or biased compressors, has become a key tool to avoid the communication bottleneck in centrally coordinated distributed training of machine learning models. We analyze the performance of two…

机器学习 · 计算机科学 2020-12-23 Sebastian U. Stich

Modern distributed optimization methods mostly rely on traditional synchronous approaches, despite substantial recent progress in asynchronous optimization. We revisit Synchronous SGD and its robust variant, called $m$-Synchronous SGD, and…

分布式、并行与集群计算 · 计算机科学 2026-02-04 Grigory Begunov , Alexander Tyurin

In this paper, we consider solving the distributed optimization problem over a multi-agent network under the communication restricted setting. We study a compressed decentralized stochastic gradient method, termed ``compressed exact…

最优化与控制 · 数学 2024-10-01 Kun Huang , Shi Pu

For SGD based distributed stochastic optimization, computation complexity, measured by the convergence rate in terms of the number of stochastic gradient calls, and communication complexity, measured by the number of inter-node…

最优化与控制 · 数学 2019-05-14 Hao Yu , Rong Jin

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

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

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

Training large neural networks requires distributing learning across multiple workers, where the cost of communicating gradients can be a significant bottleneck. signSGD alleviates this problem by transmitting just the sign of each…

机器学习 · 计算机科学 2018-08-09 Jeremy Bernstein , Yu-Xiang Wang , Kamyar Azizzadenesheli , Anima Anandkumar

An increasing bottleneck in decentralized optimization is communication. Bigger models and growing datasets mean that decentralization of computation is important and that the amount of information exchanged is quickly growing. While…

机器学习 · 计算机科学 2021-08-19 Tharindu B. Adikari , Stark C. Draper

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

We first propose a decentralized proximal stochastic gradient tracking method (DProxSGT) for nonconvex stochastic composite problems, with data heterogeneously distributed on multiple workers in a decentralized connected network. To save…

最优化与控制 · 数学 2023-03-01 Yonggui Yan , Jie Chen , Pin-Yu Chen , Xiaodong Cui , Songtao Lu , Yangyang Xu

In this paper, we design two compressed decentralized algorithms for solving nonconvex stochastic optimization under two different scenarios. Both algorithms adopt a momentum technique to achieve fast convergence and a message-compression…

When scaling distributed training, the communication overhead is often the bottleneck. In this paper, we propose a novel SGD variant with reduced communication and adaptive learning rates. We prove the convergence of the proposed algorithm…

机器学习 · 计算机科学 2020-12-08 Cong Xie , Oluwasanmi Koyejo , Indranil Gupta , Haibin Lin

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

最优化与控制 · 数学 2022-04-19 Mohammad Taha Toghani , César A. Uribe

Most commonly used distributed machine learning systems are either synchronous or centralized asynchronous. Synchronous algorithms like AllReduce-SGD perform poorly in a heterogeneous environment, while asynchronous algorithms using a…

最优化与控制 · 数学 2018-09-26 Xiangru Lian , Wei Zhang , Ce Zhang , Ji Liu

Decentralized and asynchronous communications are two popular techniques to speedup communication complexity of distributed machine learning, by respectively removing the dependency over a central orchestrator and the need for…

最优化与控制 · 数学 2023-11-02 Mathieu Even , Anastasia Koloskova , Laurent Massoulié