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Due to the high communication overhead when training machine learning models in a distributed environment, modern algorithms invariably rely on lossy communication compression. However, when untreated, the errors caused by compression…

Machine Learning · Computer Science 2023-10-31 Ilyas Fatkhullin , Alexander Tyurin , Peter Richtárik

Error feedback (EF), also known as error compensation, is an immensely popular convergence stabilization mechanism in the context of distributed training of supervised machine learning models enhanced by the use of contractive communication…

Machine Learning · Computer Science 2021-06-10 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin

Error Feedback (EF) is a highly popular and immensely effective mechanism for fixing convergence issues which arise in distributed training methods (such as distributed GD or SGD) when these are enhanced with greedy communication…

Machine Learning · Computer Science 2024-02-19 Peter Richtárik , Elnur Gasanov , Konstantin Burlachenko

First proposed by Seide (2014) as a heuristic, error feedback (EF) is a very popular mechanism for enforcing convergence of distributed gradient-based optimization methods enhanced with communication compression strategies based on the…

Machine Learning · Computer Science 2025-06-23 Ilyas Fatkhullin , Igor Sokolov , Eduard Gorbunov , Zhize Li , Peter Richtárik

We provide the first proof of convergence for normalized error feedback algorithms across a wide range of machine learning problems. Despite their popularity and efficiency in training deep neural networks, traditional analyses of error…

Machine Learning · Computer Science 2024-10-23 Sarit Khirirat , Abdurakhmon Sadiev , Artem Riabinin , Eduard Gorbunov , Peter Richtárik

Communication efficiency is a central challenge in distributed machine learning training, and message compression is a widely used solution. However, standard Error Feedback (EF) methods (Seide et al., 2014), though effective for smooth…

Optimization and Control · Mathematics 2025-10-07 Yuan Gao , Anton Rodomanov , Jeremy Rack , Sebastian Stich

Federated learning faces severe communication bottlenecks due to the high dimensionality of model updates. Communication compression with contractive compressors (e.g., Top-K) is often preferable in practice but can degrade performance…

Machine Learning · Computer Science 2025-06-04 Rustem Islamov , Yarden As , Ilyas Fatkhullin

Modern large-scale machine learning applications require stochastic optimization algorithms to be implemented on distributed compute systems. A key bottleneck of such systems is the communication overhead for exchanging information across…

Machine Learning · Computer Science 2021-03-16 Samuel Horváth , Peter Richtárik

In federated learning (FL) systems, e.g., wireless networks, the communication cost between the clients and the central server can often be a bottleneck. To reduce the communication cost, the paradigm of communication compression has become…

Machine Learning · Statistics 2022-11-28 Xiaoyun Li , Ping Li

Modern distributed training relies heavily on communication compression to reduce the communication overhead. In this work, we study algorithms employing a popular class of contractive compressors in order to reduce communication overhead.…

Optimization and Control · Mathematics 2023-11-13 Yuan Gao , Rustem Islamov , Sebastian Stich

Biased gradient compression with error feedback (EF) reduces communication in federated learning (FL), but under non-IID data, the residual error can decay slowly, causing gradient mismatch and stalled progress in the early rounds. We…

Machine Learning · Computer Science 2026-05-26 Dawit Kiros Redie , Reza Arablouei , Stefan Werner

Communication overhead is a known bottleneck in federated learning (FL). To address this, lossy compression is commonly used on the information communicated between the server and clients during training. In horizontal FL, where each client…

Machine Learning · Computer Science 2025-02-25 Pedro Valdeira , João Xavier , Cláudia Soares , Yuejie Chi

Sign-based algorithms (e.g. signSGD) have been proposed as a biased gradient compression technique to alleviate the communication bottleneck in training large neural networks across multiple workers. We show simple convex counter-examples…

Machine Learning · Computer Science 2019-05-30 Sai Praneeth Karimireddy , Quentin Rebjock , Sebastian U. Stich , Martin Jaggi

Modern machine learning tasks often involve massive datasets and models, necessitating distributed optimization algorithms with reduced communication overhead. Communication compression, where clients transmit compressed updates to a…

Optimization and Control · Mathematics 2025-04-01 Yuan Gao , Anton Rodomanov , Jeremy Rack , Sebastian U. Stich

Communication between agents often constitutes a major computational bottleneck in distributed learning. One of the most common mitigation strategies is to compress the information exchanged, thereby reducing communication overhead. To…

Machine Learning · Computer Science 2025-11-04 Daniel Berg Thomsen , Adrien Taylor , Aymeric Dieuleveut

In distributed or federated optimization and learning, communication between the different computing units is often the bottleneck and gradient compression is widely used to reduce the number of bits sent within each communication round of…

Machine Learning · Computer Science 2023-03-07 Laurent Condat , Kai Yi , Peter Richtárik

Although the distributed machine learning methods can speed up the training of large deep neural networks, the communication cost has become the non-negligible bottleneck to constrain the performance. To address this challenge, the gradient…

Machine Learning · Computer Science 2022-01-25 An Xu , Zhouyuan Huo , Heng Huang

Distributed stochastic optimization algorithms can simultaneously process large-scale datasets, significantly accelerating model training. However, their effectiveness is often hindered by the sparsity of distributed networks and data…

Machine Learning · Computer Science 2025-02-14 Yuchen Hu , Xi Chen , Weidong Liu , Xiaojun Mao

On-device memory concerns in distributed deep learning have become severe due to (i) the growth of model size in multi-GPU training, and (ii) the wide adoption of deep neural networks for federated learning on IoT devices which have limited…

Machine Learning · Computer Science 2023-12-15 Bingcong Li , Shuai Zheng , Parameswaran Raman , Anshumali Shrivastava , Georgios B. Giannakis

Tuning hyperparameters, such as the stepsize, presents a major challenge of training machine learning models. To address this challenge, numerous adaptive optimization algorithms have been developed that achieve near-optimal complexities,…

Optimization and Control · Mathematics 2023-11-07 Florian Hübler , Junchi Yang , Xiang Li , Niao He
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