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In this paper, we propose a novel partition reservation system to study the partition information and its transmission over a noise-free Boolean multi-access channel. The objective of transmission is not message restoration, but to…

Information Theory · Computer Science 2016-11-17 Shuhang Wu , Shuangqing Wei , Yue Wang , Ramachandran Vaidyanathan , Jian Yuan

Oblivious routing has a long history in both the theory and practice of networking. In this work we initiate the formal study of oblivious routing in the context of reconfigurable networks, a new architecture that has recently come to the…

Data Structures and Algorithms · Computer Science 2021-11-18 Daniel Amir , Tegan Wilson , Vishal Shrivastav , Hakim Weatherspoon , Robert Kleinberg , Rachit Agarwal

Random Linear Network Coding (RLNC) has emerged as a powerful tool for robust high-throughput multicast. Projection analysis - a recently introduced technique - shows that the distributed packetized RLNC protocol achieves (order) optimal…

Information Theory · Computer Science 2011-02-17 Bernhard Haeupler , Muriel Médard

A computable expression for the rate-distortion (RD) function proposed by Heegard and Berger has eluded information theory for nearly three decades. Heegard and Berger's single-letter achievability bound is well known to be optimal for…

Information Theory · Computer Science 2012-12-12 Roy Timo , Tobias J. Oechtering , Michèle Wigger

We consider the optimal transmission of distributed correlated discrete memoryless sources across a network with capacity constraints. We present several previously undiscussed structural properties of the set of feasible rates and…

Networking and Internet Architecture · Computer Science 2014-09-11 Bradford D. Boyle , Steven Weber

We study the maximum $k$-set coverage problem in the following distributed setting. A collection of sets $S_1,\ldots,S_m$ over a universe $[n]$ is partitioned across $p$ machines and the goal is to find $k$ sets whose union covers the most…

Data Structures and Algorithms · Computer Science 2018-08-24 Sepehr Assadi , Sanjeev Khanna

We develop upper bounds on code size for an independent and identically distributed deletion and insertion channels for a given code length and target frame error probability. The bounds are obtained as a variation of a general converse…

Information Theory · Computer Science 2026-04-14 Ruslan Morozov , Tolga Mete Duman

Distributed-Multiple Input Multiple Output (DMIMO) networks is a promising enabler to address the challenges of high traffic demand in future wireless networks. A limiting factor that is directly related to the performance of these systems…

Networking and Internet Architecture · Computer Science 2016-11-18 Athanasios S. Lioumpas , Petros S. Bithas , Angeliki Alexiou

We address the problem of distributed uncon- strained convex optimization under separability assumptions, i.e., the framework where each agent of a network is endowed with a local private multidimensional convex cost, is subject to…

Optimization and Control · Mathematics 2015-11-06 Damiano Varagnolo , Filippo Zanella , Angelo Cenedese , Gianluigi Pillonetto , Luca Schenato

In this second part of our multi-part papers, the information flow in degraded interference networks is studied. A full characterization of the sum-rate capacity for the degraded networks with any possible configuration is established. It…

Information Theory · Computer Science 2013-02-18 Reza K. Farsani

Quantum and private communications are affected by a fundamental limitation which severely restricts the optimal rates that are achievable by two distant parties. To overcome this problem, one needs to introduce quantum repeaters and, more…

Quantum Physics · Physics 2019-09-30 Stefano Pirandola

Traffic splitting is a required functionality in networks, for example for load balancing over paths or servers, or by the source's access restrictions. The capacities of the servers (or the number of users with particular access…

Networking and Internet Architecture · Computer Science 2022-12-29 Yaniv Sadeh

Computing the cut-set bound in half-duplex relay networks is a challenging optimization problem, since it requires finding the cut-set optimal half-duplex schedule. This subproblem in general involves an exponential number of variables,…

Information Theory · Computer Science 2013-05-14 Raúl Etkin , Farzad Parvaresh , Ilan Shomorony , A. Salman Avestimehr

We consider the problem of estimating an upper bound on the capacity of a memoryless channel with unknown channel law and continuous output alphabet. A novel data-driven algorithm is proposed that exploits the dual representation of…

Information Theory · Computer Science 2024-01-25 Christian Häger , Erik Agrell

We investigate the achievable rate of data transmission from sources to sinks through a multiple-relay network. We study achievable rates for omniscient coding, in which all nodes are considered in the coding design at each node. We find…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

Interactive coding allows two parties to conduct a distributed computation despite noise corrupting a certain fraction of their communication. Dani et al.\@ (Inf.\@ and Comp., 2018) suggested a novel setting in which the amount of noise is…

Data Structures and Algorithms · Computer Science 2024-07-15 Eden Fargion , Ran Gelles , Meghal Gupta

Two kinds of approximation algorithms exist for the k-BALANCED PARTITIONING problem: those that are fast but compute unsatisfying approximation ratios, and those that guarantee high quality ratios but are slow. In this paper we prove that…

Computational Complexity · Computer Science 2019-04-29 Andreas Emil Feldmann

We consider communication over channels whose statistics are not known in full, but can be parameterized as a finite family of memoryless channels. A typical approach to address channel uncertainty is to design codes for the worst channel…

Information Theory · Computer Science 2023-06-14 Michael Langberg , Oron Sabag

In distributed wireless networks, nodes often do not know the topology (network size, connectivity and the channel gains) of the network. Thus, they have to compute their transmission and reception parameters in a distributed fashion. In…

Information Theory · Computer Science 2009-10-21 Vaneet Aggarwal , Salman Avestimehr , Ashutosh Sabharwal

Network slicing has emerged as an integral concept in 5G, aiming to partition the physical network infrastructure into isolated slices, customized for specific applications. We theoretically formulate the key performance metrics of an…

Networking and Internet Architecture · Computer Science 2024-04-30 Homa Esfahanizadeh , Vipindev Adat Vasudevan , Benjamin D. Kim , Shruti Siva , Jennifer Kim , Alejandro Cohen , Muriel Médard