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Linear computation broadcast (LCBC) refers to a setting with $d$ dimensional data stored at a central server, where $K$ users, each with some prior linear side-information, wish to retrieve various linear combinations of the data. For each…

Information Theory · Computer Science 2025-08-18 Yuhang Yao , Syed A. Jafar

The $K$ User Linear Computation Broadcast (LCBC) problem is comprised of $d$ dimensional data (from $\mathbb{F}_q$), that is fully available to a central server, and $K$ users, who require various linear computations of the data, and have…

Information Theory · Computer Science 2025-08-18 Yuhang Yao , Syed A. Jafar

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

We study a $K$-user coded-caching broadcast problem in a joint source-channel coding framework. The transmitter observes a database of files that are being generated at a certain rate per channel use, and each user has a cache, which can…

Information Theory · Computer Science 2023-10-13 Hadi Reisizadeh , Mohammad Ali Maddah-Ali , Soheil Mohajer

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

A cache-aided $K$-user Gaussian broadcast channel (BC) is studied. The transmitter has a library of $N$ files, from which each user requests one. The users are equipped with caches of different sizes, which are filled without the knowledge…

Information Theory · Computer Science 2018-06-27 Mohammad Mohammadi Amiri , Deniz Gunduz

A novel class of achievable rate regions is obtained for the K-receiver broadcast channel with two groupcast messages. The associated achievability schemes are parameterized by an expansion of the message set which then determines how…

Information Theory · Computer Science 2020-01-28 Mohamed Salman , Mahesh K. Varanasi

In this paper, we consider a multi-access coded caching system with decentralized prefetching, where a server hosts $N$ files, each of size $F$ bits, and is connected to $K$ users through a shared link. There are $c$ caches distributed…

Information Theory · Computer Science 2024-06-25 Monolina Dutta , Anoop Thomas , B. Sundar Rajan

We consider the content delivery problem in a fading multi-input single-output channel with cache-aided users. We are interested in the scalability of the equivalent content delivery rate when the number of users, $K$, is large. Analytical…

Information Theory · Computer Science 2020-06-05 Khac-Hoang Ngo , Sheng Yang , Mari Kobayashi

This paper presents a novel achievable scheme for coded caching systems with $N$ files and $K$ users, specifically when $N \leq K$. This new scheme employs linear coding both during the placement phase - where cache contents are linear…

Information Theory · Computer Science 2024-06-11 Yinbin Ma , Daniela Tuninetti

In this paper, we investigate the transmission delay of cache-aided broadcast networks with user cooperation. Novel coded caching schemes are proposed for both centralized and decentralized caching settings, by efficiently exploiting time…

Information Theory · Computer Science 2021-07-06 Jiahui Chen , Xiaowen You , Youlong Wu , Shuai Ma

Coded caching (CC) techniques have been shown to be conveniently applicable in multi-input multi-output (MIMO) systems. In a $K$-user network with spatial multiplexing gains of $L$ at the transmitter and $G$ at every receiver, if each user…

Information Theory · Computer Science 2022-11-03 MohammadJavad Salehi , Mohammad NaseriTehrani , Antti Tölli

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 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

Coded caching can significantly reduce the communication bandwidth requirement for satisfying users' demands by utilizing the multicasting gain among multiple users. Most existing works assume that the users follow the prescriptions for…

Information Theory · Computer Science 2019-03-29 Seyed Mohammad Asghari , Yi Ouyang , Ashutosh Nayyar , A. Salman Avestimehr

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

In this paper, we consider the coded-caching broadcast network with user cooperation, where a server connects with multiple users and the users can cooperate with each other through a cooperation network. We propose a centralized coded…

Information Theory · Computer Science 2019-04-12 Jiahui Chen , Haoyu Yin , Xiaowen You , Yanlin Geng , Youlong Wu

Coded multicasting has been shown to improve the caching performance of content delivery networks with multiple caches downstream of a common multicast link. However, the schemes that have been shown to achieve order-optimal perfor- mance…

Information Theory · Computer Science 2015-11-25 Mingyue Ji , Karthikeyan Shanmugam , Giuseppe Vettigli , Jaime Llorca , Antonia M. Tulino , Giuseppe Caire

Network function computation is an active topic in network coding, with much recent progress for linear (over a finite field) computations over broadcast (LCBC) and multiple access (LCMAC) channels. Over a quantum multiple access channel…

Information Theory · Computer Science 2025-10-22 Yuhang Yao , Syed A. Jafar

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
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