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Related papers: Multi-User Non-Linearly Separable Distributed Comp…

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The work considers the $N$-server distributed computing scenario with $K$ users requesting functions that are linearly-decomposable over an arbitrary basis of $L$ real (potentially non-linear) subfunctions. In our problem, the aim is for…

Information Theory · Computer Science 2024-04-23 Ali Khalesi , Petros Elia

In this work, we explore the problem of multi-user linearly-separable distributed computation, where $N$ servers help compute the desired functions (jobs) of $K$ users, and where each desired function can be written as a linear combination…

Information Theory · Computer Science 2022-06-27 Ali Khalesi , Petros Elia

This work addresses the problem of distributed computation of linearly separable functions, where a master node with access to $K$ datasets, employs $N$ servers to compute $L$ user-requested functions, each defined over the datasets.…

Information Theory · Computer Science 2025-09-30 K. K. Krishnan Namboodiri , Elizabath Peter , Derya Malak , Petros Elia

The multi-user linearly-separable distributed computing problem is considered here, in which $N$ servers help to compute the real-valued functions requested by $K$ users, where each function can be written as a linear combination of up to…

Information Theory · Computer Science 2023-01-10 Ali Khalesi , Sajad Daei , Marios Kountouris , Petros Elia

In this paper, we investigate the problem of multi-user linearly decomposable function computation, where $N$ servers help compute functions for $K$ users, and where each such function can be expressed as a linear combination of $L$ basis…

Information Theory · Computer Science 2024-02-07 Ali Khalesi , Petros Elia

The introduction of the new multi-user linearly-separable distributed computing framework, has recently revealed how a parallel treatment of users can yield large parallelization gains with relatively low computation and communication…

Information Theory · Computer Science 2026-04-22 Amir Masoud Jafarpisheh , Ali Khalesi , Petros Elia

This work establishes the fundamental limits of the classical problem of multi-user distributed computing of linearly separable functions. In particular, we consider a distributed computing setting involving $L$ users, each requesting a…

Information Theory · Computer Science 2026-01-16 K. K. Krishnan Namboodiri , Elizabath Peter , Derya Malak , Petros Elia

The distributed linearly separable computation problem finds extensive applications across domains such as distributed gradient coding, distributed linear transform, real-time rendering, etc. In this paper, we investigate this problem in a…

Information Theory · Computer Science 2024-01-30 Haoning Chen , Minquan Cheng , Zhenhao Huang , Youlong Wu

This paper formulates a distributed computation problem, where a master asks $N$ distributed workers to compute a linearly separable function. The task function can be expressed as $K_c$ linear combinations of $K$ messages, where each…

Information Theory · Computer Science 2021-10-26 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

The work here studies the communication cost for a multi-server multi-task distributed computation framework, and does so for a broad class of functions and data statistics. Considering the framework where a user seeks the computation of…

Information Theory · Computer Science 2024-05-15 Derya Malak , Mohammad Reza Deylam Salehi , Berksan Serbetci , Petros Elia

This work addresses the $K$-user computation broadcast problem consisting of a master node, that holds all datasets and users for a general class of function demands, including linear and non-linear functions, over finite fields. The master…

Information Theory · Computer Science 2025-02-20 Mohammad Reza Deylam Salehi , Vijith Kumar Kizhakke Purakkal , Derya Malak

This paper studies the distributed linearly separable computation problem, which is a generalization of many existing distributed computing problems such as distributed gradient descent and distributed linear transform. In this problem, a…

Information Theory · Computer Science 2020-10-06 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

We study the joint minimization of communication and computation costs in distributed computing, where a master node coordinates $N$ workers to evaluate a function over a library of $n$ files. Assuming that the function is decomposed into…

Information Theory · Computer Science 2026-01-12 Javad Maheri , K. K. Krishnan Namboodiri , Petros Elia

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2019-06-25 Mohammad Vahid Jamali , Mahdi Soleymani , Hessam Mahdavifar

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2021-10-06 Mahdi Soleymani , Mohammad Vahid Jamali , Hessam Mahdavifar

Tensor factorization is a powerful tool to analyse multi-way data. Compared with traditional multi-linear methods, nonlinear tensor factorization models are capable of capturing more complex relationships in the data. However, they are…

Machine Learning · Computer Science 2016-05-24 Shandian Zhe , Kai Zhang , Pengyuan Wang , Kuang-chih Lee , Zenglin Xu , Yuan Qi , Zoubin Ghahramani

Distributed linearly separable computation is a fundamental problem in large-scale distributed systems, requiring the computation of linearly separable functions over different datasets across distributed workers. This paper studies a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-16 Ziting Zhang , Kai Wan , Minquan Cheng , Shuo Shao , Giuseppe Caire

Coded computing has proved to be useful in distributed computing. We have observed that almost all coded computing systems studied so far consider a setup of one master and some workers. However, recently emerging technologies such as…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Nastaran Abadi Khooshemehr , Mohammad Ali Maddah-Ali

Multivariate functions emerge naturally in a wide variety of data-driven models. Popular choices are expressions in the form of basis expansions or neural networks. While highly effective, the resulting functions tend to be hard to…

Machine Learning · Statistics 2022-06-15 Jan Decuyper , Koen Tiels , Siep Weiland , Mark C. Runacres , Johan Schoukens

Distributed linearly separable computation, where a user asks some distributed servers to compute a linearly separable function, was recently formulated by the same authors and aims to alleviate the bottlenecks of stragglers and…

Information Theory · Computer Science 2021-02-02 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire
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