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The communication bottleneck in federated learning (FL) has spurred extensive research into techniques to reduce the volume of data exchanged between client devices and the central parameter server. In this paper, we systematically classify…

Information Theory · Computer Science 2026-04-17 Adrian Edin , Michel Kieffer , Mikael Johansson , Zheng Chen

Compression schemes have been extensively used in Federated Learning (FL) to reduce the communication cost of distributed learning. While most approaches rely on a bounded variance assumption of the noise produced by the compressor, this…

Machine Learning · Computer Science 2023-11-01 Mahmoud Hegazy , Rémi Leluc , Cheuk Ting Li , Aymeric Dieuleveut

Variational inequalities are an important tool, which includes minimization, saddles, games, fixed-point problems. Modern large-scale and computationally expensive practical applications make distributed methods for solving these problems…

Optimization and Control · Mathematics 2023-03-01 Aleksandr Beznosikov , Alexander Gasnikov

This letter proposes a novel distributed compressed estimation scheme for sparse signals and systems based on compressive sensing techniques. The proposed scheme consists of compression and decompression modules inspired by compressive…

Information Theory · Computer Science 2015-02-05 S. Xu , R. C. de Lamare , H. V. Poor

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

Consider a lossy compression system with $\ell$ distributed encoders and a centralized decoder. Each encoder compresses its observed source and forwards the compressed data to the decoder for joint reconstruction of the target signals under…

Information Theory · Computer Science 2018-07-19 Yizhong Wang , Li Xie , Xuan Zhang , Jun Chen

In this work, we propose a joint collaboration-compression framework for sequential estimation of a random vector parameter in a resource constrained wireless sensor network (WSN). Specifically, we propose a framework where the local…

Signal Processing · Electrical Eng. & Systems 2021-09-08 Xiancheng Cheng , Prashant Khanduri , Boxiao Chen , Pramod K. Varshney

We study the problem of distributed mean estimation and optimization under communication constraints. We propose a correlated quantization protocol whose leading term in the error guarantee depends on the mean deviation of data points…

Machine Learning · Computer Science 2022-07-12 Ananda Theertha Suresh , Ziteng Sun , Jae Hun Ro , Felix Yu

Variational inequalities as an effective tool for solving applied problems, including machine learning tasks, have been attracting more and more attention from researchers in recent years. The use of variational inequalities covers a wide…

Optimization and Control · Mathematics 2024-12-20 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov

Information compression is essential to reduce communication cost in distributed optimization over peer-to-peer networks. This paper proposes a communication-efficient linearly convergent distributed (COLD) algorithm to solve strongly…

Optimization and Control · Mathematics 2021-05-17 Jiaqi Zhang , Keyou You , Lihua Xie

Massive amounts of data have led to the training of large-scale machine learning models on a single worker inefficient. Distributed machine learning methods such as Parallel-SGD have received significant interest as a solution to tackle…

Machine Learning · Computer Science 2022-03-31 S Vineeth

Federated learning can enable remote workers to collaboratively train a shared machine learning model while allowing training data to be kept locally. In the use case of wireless mobile devices, the communication overhead is a critical…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-11 Kai Yue , Richeng Jin , Chau-Wai Wong , Huaiyu Dai

Communication is one of the key bottlenecks in the distributed training of large-scale machine learning models, and lossy compression of exchanged information, such as stochastic gradients or models, is one of the most effective instruments…

Machine Learning · Computer Science 2022-06-22 Egor Shulgin , Peter Richtárik

We study channel simulation and distributed matching, two fundamental problems with several applications to machine learning, using a recently introduced generalization of the standard rejection sampling (RS) algorithm known as Ensemble…

Information Theory · Computer Science 2025-10-08 Buu Phan , Ashish Khisti

Distributed averaging, or distributed average consensus, is a common method for computing the sample mean of the data dispersed among the nodes of a network in a decentralized manner. By iteratively exchanging messages with neighbors, the…

Information Theory · Computer Science 2017-10-26 Ryan Pilgrim , Junan Zhu , Dror Baron , Waheed U. Bajwa

In the era of big data, it is necessary to split extremely large data sets across multiple computing nodes and construct estimators using the distributed data. When designing distributed estimators, it is desirable to minimize the amount of…

Statistics Theory · Mathematics 2022-04-25 Azeem Zaman , Botond Szabó

We consider the problem of estimating the arithmetic average of a finite collection of real vectors stored in a distributed fashion across several compute nodes subject to a communication budget constraint. Our analysis does not rely on any…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-24 Jakub Konečný , Peter Richtárik

In a distributed information application an encoder compresses an arbitrary vector while a similar reference vector is available to the decoder as side information. For the Hamming-distance similarity measure, and when guaranteed perfect…

Information Theory · Computer Science 2020-09-08 Yuval Cassuto , Jacob Ziv

The principal support vector machines method (Li et al., 2011) is a powerful tool for sufficient dimension reduction that replaces original predictors with their low-dimensional linear combinations without loss of information. However, the…

Machine Learning · Statistics 2019-12-02 Jun Jin , Chao Ying , Zhou Yu

Distributed Mean Estimation (DME), in which $n$ clients communicate vectors to a parameter server that estimates their average, is a fundamental building block in communication-efficient federated learning. In this paper, we improve on…

Machine Learning · Computer Science 2023-06-13 Ran Ben Basat , Shay Vargaftik , Amit Portnoy , Gil Einziger , Yaniv Ben-Itzhak , Michael Mitzenmacher
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