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More than two decades ago, combinatorial topology was shown to be useful for analyzing distributed fault-tolerant algorithms in shared memory systems and in message passing systems. In this work, we show that combinatorial topology can also…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-05 Armando Castañeda , Pierre Fraigniaud , Ami Paz , Sergio Rajsbaum , Matthieu Roy , Corentin Travers

We consider the setting of data storage across n nodes in a distributed manner. A data collector (DC) should be able to reconstruct the entire data by connecting to any k out of the n nodes and downloading all the data stored in them. When…

Information Theory · Computer Science 2009-09-05 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

In this paper, we propose a framework for cross-layer optimization to ensure ultra-high reliability and ultra-low latency in radio access networks, where both transmission delay and queueing delay are considered. With short transmission…

Information Theory · Computer Science 2017-10-10 Changyang She , Chenyang Yang , Tony Q. S. Quek

We investigate the relation between the girth and the guaranteed error correction capability of $\gamma$-left regular LDPC codes when decoded using the bit flipping (serial and parallel) algorithms. A lower bound on the number of variable…

Information Theory · Computer Science 2016-11-17 Shashi Kiran Chilappagari , Dung Viet Nguyen , Bane Vasic , Michael Marcellin

In coded bi-directional cooperation, two nodes wish to exchange messages over a shared half-duplex channel with the help of a relay. In this paper, we derive performance bounds for this problem for each of three protocols. The first…

Information Theory · Computer Science 2008-06-05 Sang Joon Kim , Patrick Mitran , Vahid Tarokh

One major open problem in network coding is to characterize the capacity region of a general multi-source multi-demand network. There are some existing computational tools for bounding the capacity of general networks, but their…

Information Theory · Computer Science 2015-03-17 Michelle Effros , Tracey Ho , Shirin Jalali

The derivation of ultimate limits to communication over certain quantum repeater networks have provided extremely valuable benchmarks for assessing near-term quantum communication protocols. However, these bounds are usually derived in the…

Quantum Physics · Physics 2022-06-02 Riccardo Laurenza , Nathan Walk , Jens Eisert , Stefano Pirandola

In this paper, we study binary constrained codes that are resilient to bit-flip errors and erasures. In our first approach, we compute the sizes of constrained subcodes of linear codes. Since there exist well-known linear codes that achieve…

Information Theory · Computer Science 2023-04-20 V. Arvind Rameshwar , Navin Kashyap

Batch codes are a useful notion of locality for error correcting codes, originally introduced in the context of distributed storage and cryptography. Many constructions of batch codes have been given, but few lower bound (limitation)…

Information Theory · Computer Science 2021-06-07 Ray Li , Mary Wootters

In this paper, we study the sample complexity lower bounds for the exact recovery of parameters and for a positive excess risk of a feed-forward, fully-connected neural network for binary classification, using information-theoretic tools.…

Machine Learning · Statistics 2020-10-30 Xiaochen Yang , Jean Honorio

Given $n$ wireless transceivers located in a plane, a fundamental problem in wireless communications is to construct a strongly connected digraph on them such that the constituent links can be scheduled in fewest possible time slots,…

Data Structures and Algorithms · Computer Science 2012-03-15 Magnus M. Halldorsson , Pradipta Mitra

We study lower bounds on information dissemination in adversarial dynamic networks. Initially, k pieces of information (henceforth called tokens) are distributed among n nodes. The tokens need to be broadcast to all nodes through a…

Data Structures and Algorithms · Computer Science 2012-08-31 Bernhard Haeupler , Fabian Kuhn

In this paper, we study the problem of relaying a single bit over a tandem of binary-input channels, with the goal of attaining the highest possible error exponent in the exponentially decaying error probability. Our previous work gave an…

Information Theory · Computer Science 2024-06-07 Yan Hao Ling , Jonathan Scarlett

Self-propagating malware (e.g., an Internet worm) exploits security loopholes in software to infect servers and then use them to scan the Internet for more vulnerable servers. While the mechanisms of worm infection and their propagation…

Networking and Internet Architecture · Computer Science 2016-02-10 You Zhou , Yian Zhou , Shigang Chen , O. Patrick Kreidl

Networks are known to be prone to link failures. In this paper we set out to investigate how networks of varying connectivity patterns respond to different link failure schemes in terms of connectivity, clustering coefficient and shortest…

Physics and Society · Physics 2016-08-14 Serdar Çolak , Hilmi Luş , Ali Rana Atılgan

This paper considers the problem of error correction for a cooperative data exchange (CDE) system, where some clients are compromised or failed and send false messages. Assuming each client possesses a subset of the total messages, we…

Information Theory · Computer Science 2012-09-25 Wentu Song , Xiumin Wang , Chau Yuen , Tiffany Jing Li , Rongquan Feng

A new channel coding approach was proposed in [1] for random multiple access communication over the discrete-time memoryless channel. The coding approach allows users to choose their communication rates independently without sharing the…

Information Theory · Computer Science 2016-11-15 Zheng Wang , Jie Luo

We develop deterministic algorithms for the problems of consensus, gossiping and checkpointing with nodes prone to failing. Distributed systems are modeled as synchronous complete networks. Failures are represented either as crashes or…

Data Structures and Algorithms · Computer Science 2023-05-22 Bogdan S. Chlebus , Dariusz R. Kowalski , Jan Olkowski

We consider the problem of designing [n; k] linear codes for distributed storage systems (DSS) that satisfy the (r, t)-Local Repair Property, where any t'(<=t) simultaneously failed nodes can be locally repaired, each with locality r. The…

Information Theory · Computer Science 2015-07-30 Wentu Song , Chau Yuen

We consider the problem of characterizing network capacity in the presence of adversarial errors on network links,focusing in particular on the effect of low-capacity feedback links cross network cuts.

Information Theory · Computer Science 2014-02-04 Yanbo Yang , Tracey Ho , Wentao Huang