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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…

Signal Processing · Electrical Eng. & Systems 2022-08-24 Zhaoyue Xia , Jun Du , Yong Ren

Distributed adaptive stochastic gradient methods have been widely used for large-scale nonconvex optimization, such as training deep learning models. However, their communication complexity on finding $\varepsilon$-stationary points has…

Machine Learning · Computer Science 2023-08-25 Congliang Chen , Li Shen , Wei Liu , Zhi-Quan Luo

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

Optimization and Control · Mathematics 2013-12-03 João F. C. Mota

We propose LQ-SGD (Low-Rank Quantized Stochastic Gradient Descent), an efficient communication gradient compression algorithm designed for distributed training. LQ-SGD further develops on the basis of PowerSGD by incorporating the low-rank…

Machine Learning · Computer Science 2025-06-24 Hongyang Li , Lincen Bai , Caesar Wu , Mohammed Chadli , Said Mammar , Pascal Bouvry

Stochastic convex optimization algorithms are the most popular way to train machine learning models on large-scale data. Scaling up the training process of these models is crucial, but the most popular algorithm, Stochastic Gradient Descent…

Machine Learning · Statistics 2018-10-30 Ashok Cutkosky , Robert Busa-Fekete

Despite impressive performance, deep neural networks require significant memory and computation costs, prohibiting their application in resource-constrained scenarios. Sparse training is one of the most common techniques to reduce these…

Machine Learning · Computer Science 2023-12-06 Bowen Lei , Dongkuan Xu , Ruqi Zhang , Shuren He , Bani K. Mallick

We study diffusion and consensus based optimization of a sum of unknown convex objective functions over distributed networks. The only access to these functions is through stochastic gradient oracles, each of which is only available at a…

Numerical Analysis · Computer Science 2015-09-01 N. Denizcan Vanli , Muhammed O. Sayin , Suleyman S. Kozat

Gradient compression is a widely-established remedy to tackle the communication bottleneck in distributed training of large deep neural networks (DNNs). Under the error-feedback framework, Top-$k$ sparsification, sometimes with $k$ as…

Machine Learning · Computer Science 2021-08-03 Atal Narayan Sahu , Aritra Dutta , Ahmed M. Abdelmoniem , Trambak Banerjee , Marco Canini , Panos Kalnis

We propose a communicationally and computationally efficient algorithm for high-dimensional distributed sparse learning. At each iteration, local machines compute the gradient on local data and the master machine solves one shifted $l_1$…

Machine Learning · Statistics 2017-09-12 Jineng Ren , Jarvis Haupt

In distributed optimization, a large number of machines alternate between local computations and communication with a coordinating server. Communication, which can be slow and costly, is the main bottleneck in this setting. To reduce this…

Machine Learning · Computer Science 2026-04-03 Laurent Condat , Ivan Agarský , Peter Richtárik

Data explosion and an increase in model size drive the remarkable advances in large-scale machine learning, but also make model training time-consuming and model storage difficult. To address the above issues in the distributed model…

Machine Learning · Computer Science 2022-08-12 Ke Xu , Jianqiao Wangni , Yifan Zhang , Deheng Ye , Jiaxiang Wu , Peilin Zhao

Large-scale machine learning training, in particular distributed stochastic gradient descent, needs to be robust to inherent system variability such as node straggling and random communication delays. This work considers a distributed…

Machine Learning · Computer Science 2019-03-08 Jianyu Wang , Gauri Joshi

Many popular distributed optimization methods for training machine learning models fit the following template: a local gradient estimate is computed independently by each worker, then communicated to a master, which subsequently performs…

Machine Learning · Computer Science 2019-06-05 Konstantin Mishchenko , Filip Hanzely , Peter Richtárik

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…

Machine Learning · Computer Science 2018-08-09 Jeremy Bernstein , Yu-Xiang Wang , Kamyar Azizzadenesheli , Anima Anandkumar

We consider distributed optimization under communication constraints for training deep learning models. We propose a new algorithm, whose parameter updates rely on two forces: a regular gradient step, and a corrective direction dictated by…

Machine Learning · Computer Science 2022-04-29 Yunfei Teng , Wenbo Gao , Francois Chalus , Anna Choromanska , Donald Goldfarb , Adrian Weller

In distributed machine learning, efficient training across multiple agents with different data distributions poses significant challenges. Even with a centralized coordinator, current algorithms that achieve optimal communication complexity…

Machine Learning · Computer Science 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng

To train deep learning models faster, distributed training on multiple GPUs is the very popular scheme in recent years. However, the communication bandwidth is still a major bottleneck of training performance. To improve overall training…

Machine Learning · Computer Science 2022-09-20 Daegun Yoon , Sangyoon Oh

In recent years, as data and problem sizes have increased, distributed learning has become an essential tool for training high-performance models. However, the communication bottleneck, especially for high-dimensional data, is a challenge.…

Optimization and Control · Mathematics 2025-04-28 Dmitry Bylinkin , Aleksandr Beznosikov

With the rapid growth of data, distributed momentum stochastic gradient descent~(DMSGD) has been widely used in distributed learning, especially for training large-scale deep models. Due to the latency and limited bandwidth of the network,…

Machine Learning · Statistics 2024-04-04 Chang-Wei Shi , Shen-Yi Zhao , Yin-Peng Xie , Hao Gao , Wu-Jun Li

The training efficiency of complex deep learning models can be significantly improved through the use of distributed optimization. However, this process is often hindered by a large amount of communication cost between workers and a…

Machine Learning · Computer Science 2023-02-16 Chanho Park , Namyoon Lee
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