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Gradient descent algorithms are widely used in machine learning. In order to deal with huge volume of data, we consider the implementation of gradient descent algorithms in a distributed computing setting where multiple workers compute the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-29 Haozhao Wang , Song Guo , Bin Tang , Ruixuan Li , Chengjie Li

Distributed implementations of gradient-based methods, wherein a server distributes gradient computations across worker machines, suffer from slow running machines, called 'stragglers'. Gradient coding is a coding-theoretic framework to…

Information Theory · Computer Science 2019-05-01 Swanand Kadhe , O. Ozan Koyluoglu , Kannan Ramchandran

We consider distributed gradient descent in the presence of stragglers. Recent work on \em gradient coding \em and \em approximate gradient coding \em have shown how to add redundancy in distributed gradient descent to guarantee convergence…

Information Theory · Computer Science 2019-05-15 Rawad Bitar , Mary Wootters , Salim El Rouayheb

This paper develops coding techniques to reduce the running time of distributed learning tasks. It characterizes the fundamental tradeoff to compute gradients (and more generally vector summations) in terms of three parameters: computation…

Machine Learning · Statistics 2018-02-13 Min Ye , Emmanuel Abbe

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

Optimization and Control · Mathematics 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

Coded computation is an emerging research area that leverages concepts from erasure coding to mitigate the effect of stragglers (slow nodes) in distributed computation clusters, especially for matrix computation problems. In this work, we…

Information Theory · Computer Science 2019-01-31 Aditya Ramamoorthy , Li Tang , Pascal O. Vontobel

We consider a distributed learning problem in which the computation is carried out on a system consisting of a master node and multiple worker nodes. In such systems, the existence of slow-running machines called stragglers will cause a…

Information Theory · Computer Science 2019-01-16 Shunsuke Horii , Takahiro Yoshida , Manabu Kobayashi , Toshiyasu Matsushima

We propose a new randomized algorithm for solving L2-regularized least-squares problems based on sketching. We consider two of the most popular random embeddings, namely, Gaussian embeddings and the Subsampled Randomized Hadamard Transform…

Machine Learning · Computer Science 2020-10-26 Jonathan Lacotte , Mert Pilanci

In this paper, we consider a large network containing many regions such that each region is equipped with a worker with some data processing and communication capability. For such a network, some workers may become stragglers due to the…

Systems and Control · Electrical Eng. & Systems 2022-04-14 Elie Atallah , Nazanin Rahnavard , Qiyu Sun

Commonly, machine learning models minimize an empirical expectation. As a result, the trained models typically perform well for the majority of the data but the performance may deteriorate in less dense regions of the dataset. This issue…

Machine Learning · Computer Science 2021-07-22 Joachim Schreurs , Hannes De Meulemeester , Michaël Fanuel , Bart De Moor , Johan A. K. Suykens

We propose a randomized first order optimization method--SEGA (SkEtched GrAdient method)-- which progressively throughout its iterations builds a variance-reduced estimate of the gradient from random linear measurements (sketches) of the…

Optimization and Control · Mathematics 2018-10-19 Filip Hanzely , Konstantin Mishchenko , Peter Richtarik

Sampling-based decoding underlies complex reasoning in large language models (LLMs), where decoding strategies critically shape model behavior. Temperature- and truncation-based methods reshape the next-token distribution through global…

Artificial Intelligence · Computer Science 2026-02-02 Yixin Yang , Qingxiu Dong , Zhifang Sui

One popular method for dealing with large-scale data sets is sampling. For example, by using the empirical statistical leverage scores as an importance sampling distribution, the method of algorithmic leveraging samples and rescales…

Methodology · Statistics 2013-06-25 Ping Ma , Michael W. Mahoney , Bin Yu

We propose a communication-efficient optimally structured gradient coding scheme to jointly address straggler resilience and communication efficiency in heterogeneous distributed learning. By establishing a unified framework that…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Heekang Song , Wan Choi

Leverage scores have become essential in statistics and machine learning, aiding regression analysis, randomized matrix computations, and various other tasks. This paper delves into the inverse problem, aiming to recover the intrinsic model…

Machine Learning · Computer Science 2024-08-22 Chenyang Li , Zhao Song , Zhaoxing Xu , Junze Yin

Building on the previous work of Lee et al. and Ferdinand et al. on coded computation, we propose a sequential approximation framework for solving optimization problems in a distributed manner. In a distributed computation system, latency…

Information Theory · Computer Science 2017-10-26 Jingge Zhu , Ye Pu , Vipul Gupta , Claire Tomlin , Kannan Ramchandran

In distributed computing systems slow working nodes, known as stragglers, can greatly extend finishing times. Coded computing is a technique that enables straggler-resistant computation. Most coded computing techniques presented to date…

Information Theory · Computer Science 2021-02-02 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper

Sampling methods (e.g., node-wise, layer-wise, or subgraph) has become an indispensable strategy to speed up training large-scale Graph Neural Networks (GNNs). However, existing sampling methods are mostly based on the graph structural…

Machine Learning · Computer Science 2021-09-07 Weilin Cong , Rana Forsati , Mahmut Kandemir , Mehrdad Mahdavi

In large scale distributed linear transform problems, coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may get delayed due to few slow or faulty processors). We propose a coded…

Information Theory · Computer Science 2018-04-27 Sinong Wang , Jiashang Liu , Ness Shroff , Pengyu Yang

In this paper, we propose CodedSketch, as a distributed straggler-resistant scheme to compute an approximation of the multiplication of two massive matrices. The objective is to reduce the recovery threshold, defined as the total number of…

Information Theory · Computer Science 2021-02-15 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali