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We study the fundamental problem of counting the number of nodes in a sparse network (of unknown size) under the presence of a large number of Byzantine nodes. We assume the full information model where the Byzantine nodes have complete…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

Numerous distributed tasks have to be handled in a setting where a fraction of nodes behaves Byzantine, that is, deviates arbitrarily from the intended protocol. Resilient, deterministic protocols rely on the detection of majorities to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-10 Philipp Schneider

This paper presents a random coding scheme with which two nodes can exchange information with guaranteed integrity over a two-way Byzantine relay. This coding scheme is employed to obtain an inner bound on the capacity region with…

Information Theory · Computer Science 2013-02-04 Eric Graves , Tan Wong

This paper considers the problem of Byzantine fault tolerance in distributed linear regression in a multi-agent system. However, the proposed algorithms are given for a more general class of distributed optimization problems, of which…

Machine Learning · Computer Science 2019-04-05 Nirupam Gupta , Nitin H. Vaidya

We propose a secure scheme for wireless network coding, called the algebraic watchdog. By enabling nodes to detect malicious behaviors probabilistically and use overheard messages to police their downstream neighbors locally, the algebraic…

Cryptography and Security · Computer Science 2016-11-15 MinJi Kim , Muriel Medard , Joao Barros

In distributed learning systems, robustness issues may arise from two sources. On one hand, due to distributional shifts between training data and test data, the trained model could exhibit poor out-of-sample performance. On the other hand,…

Machine Learning · Computer Science 2022-11-01 Guanqiang Zhou , Ping Xu , Yue Wang , Zhi Tian

This paper considers rateless network error correction codes for reliable multicast in the presence of adversarial errors. Most existing network error correction codes are designed for a given network capacity and maximum number of errors…

Information Theory · Computer Science 2013-01-15 Wentao Huang , Tracey Ho , Hongyi Yao , Sidharth Jaggi

The goal of Byzantine Broadcast (BB) is to allow a set of fault-free nodes to agree on information that a source node wants to broadcast to them, in the presence of Byzantine faulty nodes. We consider design of efficient algorithms for BB…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-05-03 Guanfeng Liang , Nitin Vaidya

We consider the problem of reliably broadcasting information in a multihop asynchronous network, despite the presence of Byzantine failures: some nodes are malicious and behave arbitrarly. We focus on non-cryptographic solutions. Most…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-10 Alexandre Maurer , Sébastien Tixeuil

In this paper, the problem of distributed detection in tree networks in the presence of Byzantines is considered. Closed form expressions for optimal attacking strategies that minimize the miss detection error exponent at the fusion center…

Cryptography and Security · Computer Science 2014-10-23 Bhavya Kailkhura , Swastik Brahma , Berkan Dulek , Yunghsiang S Han , Pramod K. Varshney

Efficient communication in wireless networks is typically challenged by the possibility of interference among several transmitting nodes. Much important research has been invested in decreasing the number of collisions in order to obtain…

Networking and Internet Architecture · Computer Science 2012-08-31 Keren Censor-Hillel , Bernhard Haeupler , Nancy Lynch , Muriel Médard

We consider a Gaussian two-hop network where the source and the destination can communicate only via a relay node who is both an eavesdropper and a Byzantine adversary. Both the source and the destination nodes are allowed to transmit, and…

Information Theory · Computer Science 2015-03-14 Xiang He , Aylin Yener

This paper investigates the problem of decentralized resource allocation in the presence of Byzantine attacks. Such attacks occur when an unknown number of malicious agents send random or carefully crafted messages to their neighbors,…

Optimization and Control · Mathematics 2024-09-10 Runhua Wang , Qing Ling , Zhi Tian

We present two distributed algorithms for the {\em Byzantine counting problem}, which is concerned with estimating the size of a network in the presence of a large number of Byzantine nodes. In an $n$-node network ($n$ is unknown), our…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-27 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

A main distinguishing feature of a wireless network compared with a wired network is its broadcast nature, in which the signal transmitted by a node may reach several other nodes, and a node may receive signals from several other nodes,…

Networking and Internet Architecture · Computer Science 2009-10-15 Zhang Shengli , Soung Chang Liew

In this paper, we propose a scheme, called the "algebraic watchdog" for wireless network coding, in which nodes can detect malicious behaviors probabilistically, police their downstream neighbors locally using overheard messages, and, thus,…

Networking and Internet Architecture · Computer Science 2016-11-15 MinJi Kim , Muriel Medard , Joao Barros , Ralf Koetter

We investigate the use of network coding for information dissemination over a wireless network. Using network coding allows for a simple, distributed and robust algorithm where nodes do not need any information from their neighbors. In this…

Information Theory · Computer Science 2016-11-18 Mohammad Hamed Firooz , Sumit Roy

Distributed storage systems provide reliable access to data through redundancy spread over individually unreliable nodes. Application scenarios include data centers, peer-to-peer storage systems, and storage in wireless networks. Storing…

Networking and Internet Architecture · Computer Science 2008-03-06 Alexandros G. Dimakis , P. Brighten Godfrey , Yunnan Wu , Martin J. Wainwright , Kannan Ramchandran

While network coding can be an efficient means of information dissemination in networks, it is highly susceptible to "pollution attacks," as the injection of even a single erroneous packet has the potential to corrupt each and every packet…

Information Theory · Computer Science 2019-05-07 Da Wang , Danilo Silva , Frank R. Kschischang

One of the fundamental challenges in the design of distributed wireless networks is the large dynamic range of network state. Since continuous tracking of global network state at all nodes is practically impossible, nodes can only acquire…

Information Theory · Computer Science 2017-04-18 Alireza Vahid , Vaneet Aggarwal , A. Salman Avestimehr , Ashutosh Sabharwal