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Related papers: Correction to Byzantine Agreement in Expected Poly…

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FaB Paxos[5] sets a lower bound of 5f + 1 replicas for any two-step consensus protocols tolerating f byzantine failures. Yet, hBFT[3] promises a two-step consensus protocol with only 3f + 1 replicas. As a result, it violates safety property…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-30 Nibesh Shrestha , Mohan Kumar , SiSi Duan

We study Byzantine collaborative learning, where $n$ nodes seek to collectively learn from each others' local data. The data distribution may vary from one node to another. No node is trusted, and $f < n$ nodes can behave arbitrarily. We…

To implement a blockchain, the trend is now to integrate a non-trivial Byzantine fault tolerant consensus algorithm instead of the seminal idea of waiting to receive blocks to decide upon the longest branch. After a decade of existence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Pierre Tholoniat , Vincent Gramoli

This note corrects some technical inaccuracies in a recently published paper on predefined-time convergence (Automatica 112 (2020) 108710) and discusses implementation issues of the presented control algorithm.

Systems and Control · Electrical Eng. & Systems 2020-07-16 Michael Basin

Distributed control systems require high reliability and availability guarantees despite often being deployed at the edge of network infrastructure. Edge computing resources are less secure and less reliable than centralized resources in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-21 Roy Shadmon , Daniel Spencer , Owen Arden

We address the problem of reaching consensus in the presence of Byzantine faults. In particular, we are interested in investigating the impact of messages relay on the network connectivity for a correct iterative approximate Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-17 Lili Su , Nitin Vaidya

Multiplicative weights update algorithms have been used extensively in designing iterative algorithms for many computational tasks. The core idea is to maintain a distribution over a set of experts and update this distribution in an online…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-17 Abhinav Aggarwal , José Abel Castellanos Joo , Diksha Gupta

Here we present some revised arguments to a randomized algorithm proposed by Sudan to find the polynomials of bounded degree agreeing on a dense fraction of a set of points in $\mathbb{F}^{2}$ for some field $\mathbb{F}$.

Symbolic Computation · Computer Science 2020-07-02 Priyank Deshpande

We propose the first deterministic algorithm that tolerates up to $f$ byzantine faults in $3f+1$-sized networks and performs in the asynchronous CORDA model. Our solution matches the previously established lower bound for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

We exhibit that, when given a classical Byzantine agreement protocol designed in the private-channel model, it is feasible to construct a quantum agreement protocol that can effectively handle a full-information adversary. Notably, both…

Quantum Physics · Physics 2024-09-04 Longcheng Li , Xiaoming Sun , Jiadong Zhu

The alternating direction of multipliers method (ADMM) is a popular method to solve distributed consensus optimization utilizing efficient communication among various nodes in the network. However, in the presence of faulty or attacked…

Optimization and Control · Mathematics 2025-12-10 Vishnu Vijay , Kartik A. Pant , Minhyun Cho , Inseok Hwang

In this paper we analyse the correctness of Istanbul BFT (IBFT), which is a Byzantine-fault-tolerant (BFT) proof-of-authority (PoA) blockchain consensus protocol that ensures immediate finality. We show that the IBFT protocol does not…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-28 Roberto Saltini , David Hyland-Wood

We introduce new techniques for proving lower bounds on the running time of randomized algorithms for asynchronous agreement against powerful adversaries. In particular, we define a \emph{strongly adaptive adversary} that is computationally…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-13 Allison Lewko , Mark Lewko

In this work, we study the approximate consensus problem in asynchronous message-passing networks where some nodes may become Byzantine faulty. We answer an open problem raised by Tseng and Vaidya, 2012, proposing the first algorithm of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-21 Dimitris Sakavalas , Lewis Tseng , Nitin H. Vaidya

Causal ordering in an asynchronous system has many applications in distributed computing, including in replicated databases and real-time collaborative software. Previous work in the area focused on ordering point-to-point messages in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-01 Anshuman Misra , Ajay Kshemkalyani

Strong replica consistency is often achieved by writing deterministic applications, or by using a variety of mechanisms to render replicas deterministic. There exists a large body of work on how to render replicas deterministic under the…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-03-12 Wenbing Zhao

We consider the problem of approximate consensus in mobile networks containing Byzantine nodes. We assume that each correct node can communicate only with its neighbors and has no knowledge of the global topology. As all nodes have moving…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-04 Chuanyou Li , Michel Hurfin , Yun Wang

We consider the problem of reliably broadcasting information in a multihop asyn- chronous network that is subject to Byzantine failures. That is, some nodes of the network can exhibit arbitrary (and potentially malicious) behavior. Existing…

Data Structures and Algorithms · Computer Science 2012-01-30 Alexandre Maurer , Sébastien Tixeuil

We show that prices and shortfall risks of game (Israeli) barrier options in a sequence of binomial approximations of the Black--Scholes (BS) market converge to the corresponding quantities for similar game barrier options in the BS market…

Pricing of Securities · Quantitative Finance 2009-07-24 Yan Dolinsky , Yuri Kifer

Recent advances in large-scale distributed learning algorithms have enabled communication-efficient training via SignSGD. Unfortunately, a major issue continues to plague distributed learning: namely, Byzantine failures may incur serious…

Information Theory · Computer Science 2020-10-27 Jy-yong Sohn , Dong-Jun Han , Beongjun Choi , Jaekyun Moon