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Communication overhead severely hinders the scalability of distributed machine learning systems. Recently, there has been a growing interest in using gradient compression to reduce the communication overhead of the distributed training.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-19 Yuchen Zhong , Cong Xie , Shuai Zheng , Haibin Lin

In 1981 Hong and Kung proved a lower bound on the amount of communication needed to perform dense, matrix-multiplication using the conventional $O(n^3)$ algorithm, where the input matrices were too large to fit in the small, fast memory. In…

Computational Complexity · Computer Science 2011-09-20 Grey Ballard , James Demmel , Olga Holtz , Oded Schwartz

One of the major bottlenecks for efficient deployment of neural network based recommendation systems is the memory footprint of their embedding tables. Although many neural network based recommendation systems could benefit from the faster…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-05 Lutfi Eren Erdogan , Vijay Anand Raghava Kanakagiri , Kurt Keutzer , Zhen Dong

Recently, reducing communication time between machines becomes the main focus of distributed data mining. Previous methods propose to make workers do more computation locally before aggregating local solutions in the server such that fewer…

Machine Learning · Computer Science 2019-10-11 Zhouyuan Huo , Heng Huang

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

Methods for distributed optimization have received significant attention in recent years owing to their wide applicability in various domains. A distributed optimization method typically consists of two key components: communication and…

Optimization and Control · Mathematics 2018-06-04 Albert S. Berahas , Raghu Bollapragada , Nitish Shirish Keskar , Ermin Wei

This paper presents a distributed, optimal, communication-aware trajectory planning algorithm for multi-robot systems. Building on prior work, it addresses the multi-robot communication-aware trajectory planning problem using a general…

Robotics · Computer Science 2024-08-12 Jeppe Heini Mikkelsen , Roberto Galeazzi , Matteo Fumagalli

Stochastic bilevel optimization finds widespread applications in machine learning, including meta-learning, hyperparameter optimization, and neural architecture search. To extend stochastic bilevel optimization to distributed data, several…

Machine Learning · Computer Science 2026-05-26 Yihan Zhang , My T. Thai , Jie Wu , Hongchang Gao

We describe several features of parallel or distributed asynchronous iterative algorithms such as unbounded delays, possible out of order messages or flexible communication. We concentrate on the concept of macroiteration sequence which was…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-11 Didier El Baz

We study infinite-horizon average-reward constrained Markov decision processes (CMDPs) under the weakly communicating assumption. Our contributions are twofold. First, we establish strong duality for weakly communicating average-reward…

Machine Learning · Computer Science 2026-05-13 Kihyun Yu , Beomhan Baek , Dabeen Lee

Hiding or minimizing the communication cost is key in order to obtain good performance on large-scale systems. While communication overlapping attempts to hide communications cost, 2.5D communication avoiding algorithms improve performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-07 Jorge González-Domínguez , Evangelos Georganas , Yili Zheng , María J. Martín

Scaling models has led to significant advancements in deep learning, but training these models in decentralized settings remains challenging due to communication bottlenecks. While existing compression techniques are effective in…

Machine Learning · Computer Science 2025-06-03 Sameera Ramasinghe , Thalaiyasingam Ajanthan , Gil Avraham , Yan Zuo , Alexander Long

Variational inequalities are a broad and flexible class of problems that includes minimization, saddle point, and fixed point problems as special cases. Therefore, variational inequalities are used in various applications ranging from…

Optimization and Control · Mathematics 2024-04-02 Aleksandr Beznosikov , Martin Takáč , Alexander Gasnikov

The fast iterative soft thresholding algorithm (FISTA) is used to solve convex regularized optimization problems in machine learning. Distributed implementations of the algorithm have become popular since they enable the analysis of large…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-25 Saeed Soori , Aditya Devarakonda , James Demmel , Mert Gurbuzbalaban , Maryam Mehri Dehnavi

We give lower bounds on the communication complexity required to solve several computational problems in a distributed-memory parallel machine, namely standard matrix multiplication, stencil computations, comparison sorting, and the Fast…

Data Structures and Algorithms · Computer Science 2013-09-24 Michele Scquizzato , Francesco Silvestri

Communication overhead is the key challenge for distributed training. Gradient compression is a widely used approach to reduce communication traffic. When combining with parallel communication mechanism method like pipeline, gradient…

Machine Learning · Computer Science 2021-09-08 Enda Yu , Dezun Dong , Yemao Xu , Shuo Ouyang , Xiangke Liao

We propose a doubly stochastic primal-dual coordinate optimization algorithm for empirical risk minimization, which can be formulated as a bilinear saddle-point problem. In each iteration, our method randomly samples a block of coordinates…

Machine Learning · Computer Science 2017-04-13 Adams Wei Yu , Qihang Lin , Tianbao Yang

Communication, i.e., data movement, is a critical bottleneck for the performance of classical Krylov subspace method solvers on modern computer architectures. Variants of these methods which avoid communication have been introduced, which,…

Numerical Analysis · Mathematics 2025-06-17 Erin Carson , Yuxin Ma

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

Scalable QR factorization algorithms for solving least squares and eigenvalue problems are critical given the increasing parallelism within modern machines. We introduce a more general parallelization of the CholeskyQR2 algorithm and show…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-18 Edward Hutter , Edgar Solomonik