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This paper investigates under which conditions information can be reliably shared and consensus can be solved in unknown and anonymous message-passing networks that suffer from crash-failures. We provide algorithms to emulate registers and…

Data Structures and Algorithms · Computer Science 2009-03-23 Carole Delporte-Gallet , Hugues Fauconnier , Andreas Tielmann

Counting the number of nodes in Anonymous Dynamic Networks is enticing from an algorithmic perspective: an important computation in a restricted platform with promising applications. Starting with Michail, Chatzigiannakis, and Spirakis…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-08 Dariusz R. Kowalski , Miguel A. Mosteiro

A team consisting of an unknown number of mobile agents, starting from different nodes of an unknown network, possibly at different times, have to meet at the same node. Agents are anonymous (identical), execute the same deterministic…

Data Structures and Algorithms · Computer Science 2016-03-15 Yoann Dieudonné , Andrzej Pelc

We propose an asynchronous, decentralized algorithm for consensus optimization. The algorithm runs over a network in which the agents communicate with their neighbors and perform local computation. In the proposed algorithm, each agent can…

Optimization and Control · Mathematics 2017-03-06 Tianyu Wu , Kun Yuan , Qing Ling , Wotao Yin , Ali H. Sayed

In the distributed localization problem (DLP), $n$ anonymous robots (agents) $a_0, a_1, ..., a_{n-1}$ begin at arbitrary positions $p_0, ..., p_{n-1}$ in $S$, where $S$ is an Euclidean space. The primary goal in DLP is for agents to reach a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-09 Leszek Gąsieniec , Łukasz Kuszner , Ehsan Latif , Ramviyas Parasuraman , Paul Spirakis , Grzegorz Stachowiak

Quantum sampling, a fundamental subroutine in numerous quantum algorithms, involves encoding a given probability distribution in the amplitudes of a pure state. Given the hefty cost of large-scale quantum storage, we initiate the study of…

Quantum Physics · Physics 2025-06-10 Longyun Chen , Jingcheng Liu , Penghui Yao

The aim of the paper is to introduce general techniques in order to optimize the parallel execution time of sorting on a distributed architectures with processors of various speeds. Such an application requires a partitioning step. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Christophe Cérin , Jean-Christophe Dubacq , Jean-Louis Roch , the SafeScale Collaboration

Privacy-preserving distributed processing has received considerable attention recently. The main purpose of these algorithms is to solve certain signal processing tasks over a network in a decentralised fashion without revealing…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Sebastian O. Jordan , Qiongxiu Li , Richard Heusdens

This paper concerns designing distributed algorithms that are singularly optimal, i.e., algorithms that are simultaneously time and message optimal, for the fundamental leader election problem in networks. Our main result is a randomized…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-18 Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

Motivated by large-scale optimization problems arising in the context of machine learning, there have been several advances in the study of asynchronous parallel and distributed optimization methods during the past decade. Asynchronous…

Machine Learning · Computer Science 2020-06-25 Mahmoud Assran , Arda Aytekin , Hamid Feyzmahdavian , Mikael Johansson , Michael Rabbat

A task is a distributed problem for $n$ processes, in which each process starts with a private input value, communicates with other processes, and eventually decides an output value. A task is colorless if each process can adopt the input…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-13 Carole Delporte-Gallet , Hugues Fauconnier , Sergio Rajsbaum , Nayuta Yanagisawa

Given an undirected, anonymous, port-labeled graph of $n$ memory-less nodes, $m$ edges, and degree $\Delta$, we consider the problem of dispersing $k\leq n$ robots (or tokens) positioned initially arbitrarily on one or more nodes of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-05 Ajay D. Kshemkalyani , Gokarna Sharma

This paper studies broadcasting and gossiping algorithms in random and general AdHoc networks. Our goal is not only to minimise the broadcasting and gossiping time, but also to minimise the energy consumption, which is measured in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Petra Berenbrink , Colin Cooper , Zengjian Hu

We consider a natural generalization of scheduling $n$ jobs on $m$ parallel machines so as to minimize the makespan. In our extension the set of jobs is partitioned into several classes and a machine requires a setup whenever it switches…

Data Structures and Algorithms · Computer Science 2018-09-28 Klaus Jansen , Marten Maack , Alexander Mäcker

We investigate the minimal number of failures that can partition a system where processes communicate both through shared memory and by message passing. We prove that this number precisely captures the resilience that can be achieved by…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Hagit Attiya , Sweta Kumari , Noa Schiller

We prove that a random automaton with $n$ states and any fixed non-singleton alphabet is synchronizing with high probability (modulo an unpublished result about unique highest trees of random graphs). Moreover, we also prove that the…

Formal Languages and Automata Theory · Computer Science 2024-07-10 Mikhail V. Berlinkov

We introduce an automata-theoretic method for the verification of distributed algorithms running on ring networks. In a distributed algorithm, an arbitrary number of processes cooperate to achieve a common goal (e.g., elect a leader).…

Logic in Computer Science · Computer Science 2015-04-27 C. Aiswarya , Benedikt Bollig , Paul Gastin

We consider algorithmic problems in the setting in which the input data has been partitioned arbitrarily on many servers. The goal is to compute a function of all the data, and the bottleneck is the communication used by the algorithm. We…

Data Structures and Algorithms · Computer Science 2014-07-01 Ravindran Kannan , Santosh Vempala , David Woodruff

We study the problem of how to coordinate the actions of independent agents in a distributed system where message arrival times are unbounded, but are determined by an exponential probability distribution. Asynchronous protocols executed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-10 Ariel Livshits , Yoram Moses

We study the problem of privately emulating shared memory in message-passing networks. The system includes clients that store and retrieve replicated information on N servers, out of which e are malicious. When a client access a malicious…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-12 Shlomi Dolev , Thomas Petig , Elad Michael Schiller