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Gathering is a fundamental coordination problem in cooperative mobile robotics. In short, given a set of robots with arbitrary initial locations and no initial agreement on a global coordinate system, gathering requires that all robots,…

We consider the gathering task by a team of $m$ synchronous mobile robots in a graph of $n$ nodes. Each robot has an identifier (ID) and runs its own deterministic algorithm, i.e., there is no centralized coordinator. We consider a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Avery Miller , Ullash Saha

Given a set of robots with arbitrary initial location and no agreement on a global coordinate system, convergence requires that all robots asymptotically approach the exact same, but unknown beforehand, location. Robots are oblivious-- they…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-05-26 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

A set of mobile robots (represented as points) is distributed in the Cartesian plane. The collection contains an unknown subset of byzantine robots which are indistinguishable from the reliable ones. The reliable robots need to gather,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-08 Jurek Czyzowicz , Ryan Killick , Evangelos Kranakis , Danny Krizanc , Oscar Morale-Ponce

The problem of gathering multiple mobile robots to a single location, is one of the fundamental problems in distributed coordination between autonomous robots. The problem has been studied and solved even for robots that are anonymous,…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-03 Zohir Bouzid , Shantanu Das , Sébastien Tixeuil

We study the \emph{Byzantine} gathering problem involving $k$ mobile agents with unique identifiers (IDs), $f$ of which are Byzantine. These agents start the execution of a common algorithm from (possibly different) nodes in an $n$-node…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-14 Jion Hirose , Ryota Eguchi , Yuichi Sudo

We study the convergence problem in fully asynchronous, uni-dimensional robot networks that are prone to Byzantine (i.e. malicious) failures. In these settings, oblivious anonymous robots with arbitrary initial positions are required to…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-08-05 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

This paper considers the problem of Byzantine dispersion and extends previous work along several parameters. The problem of Byzantine dispersion asks: given $n$ robots, up to $f$ of which are Byzantine, initially placed arbitrarily on an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Anisur Rahaman Molla , Kaushik Mondal , William K. Moses

Recent advances in Distributed Computing highlight models and algorithms for autonomous swarms of mobile robots that self-organise and cooperate to solve global objectives. The overwhelming majority of works so far considers handmade…

Logic in Computer Science · Computer Science 2014-05-26 Pierre Courtieu , Lionel Rieg , Xavier Urbain , Sébastien Tixeuil

In this paper we address Approximate Agreement problem in the Mobile Byzantine faults model. Our contribution is threefold. First, we propose the the first mapping from the existing variants of Mobile Byzantine models to the Mixed-Mode…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-14 Silvia Bonomi , Antonella Del Pozzo , Maria Potop-Butucaru , Sébastien Tixeuil

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

Machine Learning · Computer Science 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

Robustness to Byzantine attacks is a necessity for various distributed training scenarios. When the training reduces to the process of solving a minimization problem, Byzantine robustness is relatively well-understood. However, other…

Numerous distributed applications, such as cloud computing and distributed ledgers, necessitate the system to invoke asynchronous consensus objects an unbounded number of times, where the completion of one consensus instance is followed by…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-28 Chryssis Georgiou , Michel Raynal , Elad M. Schiller

Byzantine fault-tolerant (BFT) consensus algorithms are at the core of providing safety and liveness guarantees for distributed systems that must operate in the presence of arbitrary failures. Recently, numerous new BFT algorithms have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-06 Gengrui Zhang , Fei Pan , Yunhao Mao , Sofia Tijanic , Michael Dang'ana , Shashank Motepalli , Shiquan Zhang , Hans-Arno Jacobsen

We study the gathering problem to make multiple agents initially scattered in arbitrary networks gather at a single node. There exist $k$ agents with unique identifiers (IDs) in the network, and $f$ of them are weakly Byzantine agents,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-31 Jion Hirose , Junya Nakamura , Fukuhito Ooshita , Michiko Inoue

A set of mobile robots is placed at points of an infinite line. The robots are equipped with GPS devices and they may communicate their positions on the line to a central authority. The collection contains an unknown subset of "spies",…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-24 Huda Chuangpishit , Jurek Czyzowicz , Evangelos Kranakis , Danny Krizanc

We study the task of Byzantine gathering in a network modeled as a graph. Despite the presence of Byzantine agents, all the other (good) agents, starting from possibly different nodes and applying the same deterministic algorithm, have to…

Data Structures and Algorithms · Computer Science 2018-01-24 Sébastien Bouchard , Yoann Dieudonné , Anissa Lamani

The problem of dispersion of mobile robots on a graph asks that $n$ robots initially placed arbitrarily on the nodes of an $n$-node anonymous graph, autonomously move to reach a final configuration where exactly each node has at most one…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-04 Anisur Rahaman Molla , Kaushik Mondal , William K. Moses

In this paper we address the complexity issues of two agreement problems in oblivious robot networks namely gathering and scattering. These abstractions are fundamental coordination problems in cooperative mobile robotics. Moreover, their…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-07-14 Julien Clement , Xavier Defago , Maria Gradinariu Potop-Butucaru , Stephane Messika

Standard federated learning algorithms are vulnerable to adversarial nodes, a.k.a. Byzantine failures. To solve this issue, robust distributed learning algorithms have been developed, which typically replace parameter averaging by robust…

Machine Learning · Computer Science 2026-02-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx
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