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Inspired by mobile satellite communication systems and the important and prevalent applications of computational tasks, we consider a distributed source coding model for compressing vector-linear functions, which consists of multiple…

Information Theory · Computer Science 2025-08-06 Xuan Guang , Xiufang Sun , Ruze Zhang

In this paper, we address the scenario where nodes with sensor data are connected in a tree network, and every node wants to compute a given symmetric Boolean function of the sensor data. We first consider the problem of computing a…

Information Theory · Computer Science 2010-05-03 Hemant Kowshik , P. R. Kumar

A receiver wants to compute a function of two correlated sources separately observed by two transmitters. One of the transmitters may send a possibly private message to the other transmitter in a cooperation phase before both transmitters…

Information Theory · Computer Science 2015-04-08 Milad Sefidgaran , Aslan Tchamkerten

We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes, with bounded computation and storage capabilities that do not scale with the network size. Our goal is to characterize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-07-28 Julien M. Hendrickx , Alex Olshevsky , John N. Tsitsiklis

Linear network coding transmits data through networks by letting the intermediate nodes combine the messages they receive and forward the combinations towards their destinations. The solvability problem asks whether the demands of all the…

Information Theory · Computer Science 2014-12-18 Maximilien Gadouleau , Adrien Richard , Eric Fanchon

One of the fundamental and most-studied algorithmic problems in distributed computing on networks is graph coloring, both in bounded-degree and in general graphs. Recently, the study of this problem has been extended in two directions.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-14 Nicolas Bousquet , Laurent Feuilloley , Marc Heinrich , Mikaël Rabie

This paper deals with a universal coding problem for a certain kind of multiterminal source coding system that we call the complementary delivery coding system. In this system, messages from two correlated sources are jointly encoded, and…

Information Theory · Computer Science 2007-10-24 Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka

We design a low complexity distributed compression scheme for computing arbitrary functions of sources with discrete alphabets. We use a helper-based method that extends the definition of the G{\'a}cs-K{\"o}rner-Witsenhausen (GKW) common…

Information Theory · Computer Science 2021-04-01 Derya Malak

This paper deals with a universal coding problem for a certain kind of multiterminal source coding network called a generalized complementary delivery network. In this network, messages from multiple correlated sources are jointly encoded,…

Information Theory · Computer Science 2009-04-02 Akisato Kimura , Tomohiko Uyematsu , Shigeaki Kuzuoka , Shun Watanabe

The indirect source-coding problem in which a Bernoulli process is compressed in a lossy manner from its noisy observations is considered. These noisy observations are obtained by passing the source sequence through a The indirect…

Information Theory · Computer Science 2015-06-05 Alon Kipnis , Stefano Rini , Andrea J. Goldsmith

Arithmetic codes are usually deemed as the most important means to implement lossless source coding, whose principle is mapping every source symbol to a sub-interval in [0, 1). For every source symbol, the length of its mapping sub-interval…

Information Theory · Computer Science 2025-03-03 Yong Fang

We consider the problem of minimizing the number of broadcasts for collecting all sensor measurements at a sink node in a noisy broadcast sensor network. Focusing first on arbitrary network topologies, we provide (i) fundamental limits on…

Information Theory · Computer Science 2017-02-01 Yaoqing Yang , Soummya Kar , Pulkit Grover

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 problem of reconstructing a source sequence with the presence of decoder side-information that is mis-synchronized to the source due to deletions is studied in a distributed source coding framework. Motivated by practical applications,…

Information Theory · Computer Science 2016-11-17 Nan Ma , Kannan Ramchandran , David Tse

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

In wireless distributed computing, networked nodes perform intermediate computations over data placed in their memory and exchange these intermediate values to calculate function values. In this paper we consider an asymmetric setting where…

Information Theory · Computer Science 2017-08-10 Linqi Song , Sundara Rajan Srinivasavaradhan , Christina Fragouli

We consider the problem of making distributed computations robust to noise, in particular to worst-case (adversarial) corruptions of messages. We give a general distributed interactive coding scheme which simulates any asynchronous…

Data Structures and Algorithms · Computer Science 2017-02-27 Keren Censor-Hillel , Ran Gelles , Bernhard Haeupler

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

We consider the problem of distributed lossless computation of a function of two sources by one common user. To do so, we first build a bipartite graph, where two disjoint parts denote the individual source outcomes. We then project the…

Information Theory · Computer Science 2023-07-18 Derya Malak

We consider classical and entanglement-assisted versions of a distributed computation scheme that computes nonlinear Boolean functions of a set of input bits supplied by separated parties. Communication between the parties is restricted to…

Quantum Physics · Physics 2020-02-04 Adam Henry Marblestone , Michel Devoret