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We study the averaging-based distributed optimization solvers over random networks. We show a general result on the convergence of such schemes using weight-matrices that are row-stochastic almost surely and column-stochastic in expectation…

Optimization and Control · Mathematics 2020-10-06 Adel Aghajan , Behrouz Touri

This paper considers vector network coding solutions based on rank-metric codes and subspace codes. The main result of this paper is that vector solutions can significantly reduce the required alphabet size compared to the optimal scalar…

Information Theory · Computer Science 2018-01-16 Tuvi Etzion , Antonia Wachter-Zeh

In this paper we propose a new framework for distributed source coding of structured sources, such as sparse signals. Our framework capitalizes on recent advances in the theory of linear inverse problems and signal representations using…

Information Theory · Computer Science 2020-12-02 Maxim Goukhshtein , Petros T. Boufounos , Toshiaki Koike-Akino , Stark C. Draper

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

We consider the problem of constructing a communication infrastructure from scratch, for a collection of identical wireless nodes. Combinatorially, this means a) finding a set of links that form a strongly connected spanning graph on a set…

Networking and Internet Architecture · Computer Science 2012-10-17 Magnus M. Halldorsson , Pradipta Mitra

Network coding has been widely used as a technology to ensure efficient and reliable communication. The ability to recode packets at the intermediate nodes is a major benefit of network coding implementations. This allows the intermediate…

Networking and Internet Architecture · Computer Science 2023-06-21 Vipindev Adat Vasudevan , Tarun Soni , Muriel Médard

A variety of problems in distributed control involve a networked system of autonomous agents cooperating to carry out some complex task in a decentralized fashion, e.g., orienting a flock of drones, or aggregating data from a network of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Bernadette Charron-Bost , Patrick Lambein-Monette

We give an improved algorithm for drawing a random sample from a large data stream when the input elements are distributed across multiple sites which communicate via a central coordinator. At any point in time the set of elements held by…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-29 Srikanta Tirthapura , David P. Woodruff

A new random linear network coding scheme for reliable communications for time division duplexing channels is proposed. The setup assumes a packet erasure channel and that nodes cannot transmit and receive information simultaneously. The…

Information Theory · Computer Science 2008-09-16 Daniel E. Lucani , Milica Stojanovic , Muriel Médard

The paper presents four distinct new ideas and results for communication networks: 1) We show that relay-networks (i.e. communication networks where different nodes use the same coding functions) can be used to model dynamic networks. 2) We…

Information Theory · Computer Science 2015-03-17 Soren Riis , Maximilien Gadouleau

The coded caching scheme proposed by Maddah-Ali and Niesen (MAN) transmits coded multicast messages to users equipped with caches and it is known to be optimal within a constant factor. This work extends this caching scheme to two-hop relay…

Information Theory · Computer Science 2019-03-15 Mozhgan Bayat , Kai Wan , Giuseppe Caire

Coded distributed computing (CDC) introduced by Li et al. in 2015 offers an efficient approach to trade computing power to reduce the communication load in general distributed computing frameworks such as MapReduce. For the more general…

Information Theory · Computer Science 2019-01-24 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

We consider distributed learning in the presence of slow and unresponsive worker nodes, referred to as stragglers. In order to mitigate the effect of stragglers, gradient coding redundantly assigns partial computations to the worker such…

Information Theory · Computer Science 2022-12-19 Luis Maßny , Christoph Hofmeister , Maximilian Egger , Rawad Bitar , Antonia Wachter-Zeh

This paper considers the MapReduce-like coded distributed computing framework originally proposed by Li et al., which uses coding techniques when distributed computing servers exchange their computed intermediate values, in order to reduce…

Information Theory · Computer Science 2020-04-10 Kai Wan , Mingyue Ji , Giuseppe Caire

Random network coding recently attracts attention as a technique to disseminate information in a network. This paper considers a non-coherent multi-shot network, where the unknown and time-variant network is used several times. In order to…

Information Theory · Computer Science 2016-11-17 Antonia Wachter-Zeh , Markus Stinner , Vladimir Sidorenko

Random network models, constrained to reproduce specific statistical features, are often used to represent and analyze network data and their mathematical descriptions. Chief among them, the configuration model constrains random networks by…

Social and Information Networks · Computer Science 2025-01-28 Laurent Hébert-Dufresne , Jean-Gabriel Young , Alexander Daniels , Alec Kirkley , Antoine Allard

In this paper queue stability in a single-hop wireless multicast networks over erasure channels is analyzed. First, a queuing model consisting of several sub-queues is introduced. Under the queueing stability constraint, we adopt Lyapunov…

Information Theory · Computer Science 2016-12-01 Nadieh Moghadam , Mohammad Mohebbi , Hongxiang Li

Small interconnected quantum processors can collaborate to tackle quantum computational problems that typically demand more capable devices. These linked processors, referred to as quantum nodes, can use shared entangled states to execute…

Quantum Physics · Physics 2024-08-26 Lars Talsma , Álvaro G. Iñesta , Stephanie Wehner

In this paper we study spread codes: a family of constant-dimension codes for random linear network coding. In other words, the codewords are full-rank matrices of size (k x n) with entries in a finite field F_q. Spread codes are a family…

Information Theory · Computer Science 2012-06-08 Elisa Gorla , Felice Manganiello , Joachim Rosenthal

In this study, we consider a quantum version of multicast network coding as a multicast protocol for sending universal quantum clones (UQCs) from a source node to the target nodes on a quantum network. By extending Owari et al.'s previous…

Quantum Physics · Physics 2022-06-23 Yuichi Hirota , Masaki Owari