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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

Motivated by the increasing popularity and importance of large-scale training under differential privacy (DP) constraints, we study distributed gradient methods with gradient clipping, i.e., clipping applied to the gradients computed from…

Machine Learning · Computer Science 2023-05-31 Sarit Khirirat , Eduard Gorbunov , Samuel Horváth , Rustem Islamov , Fakhri Karray , Peter Richtárik

Recent optimizers like Muon, Scion, and Gluon have pushed the frontier of large-scale deep learning by exploiting layer-wise linear minimization oracles (LMOs) over non-Euclidean norm balls, capturing neural network structure in ways…

Machine Learning · Computer Science 2025-10-02 Kaja Gruntkowska , Alexander Gaponov , Zhirayr Tovmasyan , Peter Richtárik

Distributed learning, particularly Federated Learning (FL), faces a significant bottleneck in the communication cost, particularly the uplink transmission of client-to-server updates, which is often constrained by asymmetric bandwidth…

Machine Learning · Computer Science 2026-02-19 Tomas Ortega , Chun-Yin Huang , Xiaoxiao Li , Hamid Jafarkhani

In practical federated learning (FL), the large communication overhead between clients and the server is often a significant bottleneck. Gradient compression methods can effectively reduce this overhead, while error feedback (EF) restores…

Machine Learning · Computer Science 2026-02-13 Diying Yang , Yingwei Hou , Weigang Wu

Distributed learning algorithms, such as the ones employed in Federated Learning (FL), require communication compression to reduce the cost of client uploads. The compression methods used in practice are often biased, making error feedback…

Machine Learning · Computer Science 2025-09-12 Tomas Ortega , Chun-Yin Huang , Xiaoxiao Li , Hamid Jafarkhani

Communication is a key bottleneck in distributed training. Recently, an \emph{error-compensated} compression technology was particularly designed for the \emph{centralized} learning and receives huge successes, by showing significant…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-06 Hanlin Tang , Xiangru Lian , Shuang Qiu , Lei Yuan , Ce Zhang , Tong Zhang , Ji Liu

In this work we focus our attention on distributed optimization problems in the context where the communication time between the server and the workers is non-negligible. We obtain novel methods supporting bidirectional compression (both…

Optimization and Control · Mathematics 2023-05-23 Kaja Gruntkowska , Alexander Tyurin , 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

Federated Learning (FL) incurs high communication overhead, which can be greatly alleviated by compression for model updates. Yet the tradeoff between compression and model accuracy in the networked environment remains unclear and, for…

Machine Learning · Computer Science 2021-12-14 Laizhong Cui , Xiaoxin Su , Yipeng Zhou , Jiangchuan Liu

In this paper, a communication-efficient federated learning (FL) framework is proposed for improving the convergence rate of FL under a limited uplink capacity. The central idea of the proposed framework is to transmit the values and…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Jaewon Yun , Yongjeong Oh , Yo-Seb Jeon , H. Vincent Poor

Communication cost is one major bottleneck for the scalability for distributed learning. One approach to reduce the communication cost is to compress the gradient during communication. However, directly compressing the gradient decelerates…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-05 Hanlin Tang , Yao Li , Ji Liu , Ming Yan

We consider strongly convex distributed consensus optimization over connected networks. EFIX, the proposed method, is derived using quadratic penalty approach. In more detail, we use the standard reformulation { transforming the original…

Optimization and Control · Mathematics 2020-12-11 Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic

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

Communication-constrained algorithms for decentralized learning and optimization rely on local updates coupled with the exchange of compressed signals. In this context, differential quantization is an effective technique to mitigate the…

Multiagent Systems · Computer Science 2024-06-27 Roula Nassif , Stefan Vlaski , Marco Carpentiero , Vincenzo Matta , Ali H. Sayed

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,…

Optimization and Control · Mathematics 2022-05-31 Marina Danilova , Eduard Gorbunov

Gradient compression is a recent and increasingly popular technique for reducing the communication cost in distributed training of large-scale machine learning models. In this work we focus on developing efficient distributed methods that…

Optimization and Control · Mathematics 2020-10-02 Xun Qian , Peter Richtárik , Tong Zhang

Federated sampling algorithms have recently gained great popularity in the community of machine learning and statistics. This paper studies variants of such algorithms called Error Feedback Langevin algorithms (ELF). In particular, we…

Machine Learning · Statistics 2023-03-09 Avetik Karagulyan , Peter Richtárik

Federated Learning (FL) enables collaborative model training across decentralized clients while preserving data privacy by keeping raw data local. However, FL suffers from significant communication overhead due to the frequent exchange of…

Machine Learning · Computer Science 2025-11-11 Chaimaa Medjadji , Sadi Alawadi , Feras M. Awaysheh , Guilain Leduc , Sylvain Kubler , Yves Le Traon

We propose Adaptive Compressed Gradient Descent (AdaCGD) - a novel optimization algorithm for communication-efficient training of supervised machine learning models with adaptive compression level. Our approach is inspired by the recently…

Machine Learning · Computer Science 2022-11-02 Maksim Makarenko , Elnur Gasanov , Rustem Islamov , Abdurakhmon Sadiev , Peter Richtarik