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We study the convergence speed of distributed iterative algorithms for the consensus and averaging problems, with emphasis on the latter. We first consider the case of a fixed communication topology. We show that a simple adaptation of a…

最优化与控制 · 数学 2011-06-13 Alex Olshevsky , John N. Tsitsiklis

We study the wake-up problem in distributed networks, where an adversary awakens a subset of nodes at arbitrary times, and the goal is to wake up all other nodes as quickly as possible by sending only few messages. We prove the following…

分布式、并行与集群计算 · 计算机科学 2025-07-16 Peter Robinson , Ming Ming Tan

This paper concerns {\em randomized} leader election in synchronous distributed networks. A distributed leader election algorithm is presented for complete $n$-node networks that runs in O(1) rounds and (with high probability) uses only…

数据结构与算法 · 计算机科学 2013-05-16 Shay Kutten , Gopal Pandurangan , David Peleg , Peter Robinson , Amitabh Trehan

Consensus is a most fundamental task in distributed computing. This paper studies the consensus problem for a set of processes connected by a dynamic directed network, in which computation and communication is lock-step synchronous but…

分布式、并行与集群计算 · 计算机科学 2022-02-28 Ami Paz , Hugo Rincon Galeana , Stefan Schmid , Ulrich Schmid , Kyrill Winkler

Broadcast and consensus are most fundamental tasks in distributed computing. These tasks are particularly challenging in dynamic networks where communication across the network links may be unreliable, e.g., due to mobility or failures.…

分布式、并行与集群计算 · 计算机科学 2024-08-21 Antoine El-Hayek , Monika Henzinger , Stefan Schmid

We present a tight analysis for the well-studied randomized 3-majority dynamics of stabilizing consensus, hence answering the main open question of Becchetti et al. [SODA'16]. Consider a distributed system of n nodes, each initially holding…

分布式、并行与集群计算 · 计算机科学 2017-05-17 Mohsen Ghaffari , Johannes Lengler

Byzantine agreement is a fundamental problem in fault-tolerant distributed computing that has been studied intensively for the last four decades. Much of the research has focused on a static Byzantine adversary, where the adversary is…

分布式、并行与集群计算 · 计算机科学 2025-06-06 Fabien Dufoulon , Gopal Pandurangan

The full-information model was introduced by Ben-Or and Linial in 1985 to study collective coin-flipping: the problem of generating a common bounded-bias bit in a network of $n$ players with $t=t(n)$ faults. They showed that the majority…

密码学与安全 · 计算机科学 2015-05-06 Shafi Goldwasser , Yael Tauman Kalai , Sunoo Park

Algorithms to solve fault-tolerant consensus in asynchronous systems often rely on primitives such as crusader agreement, adopt-commit, and graded broadcast, which provide weaker agreement properties than consensus. Although these…

分布式、并行与集群计算 · 计算机科学 2023-08-10 Hagit Attiya , Jennifer L. Welch

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…

数据结构与算法 · 计算机科学 2023-05-22 Bogdan S. Chlebus , Dariusz R. Kowalski , Jan Olkowski

This paper explores the problem of reaching approximate consensus in synchronous point-to-point networks, where each pair of nodes is able to communicate with each other directly and reliably. We consider the mobile Byzantine fault model…

分布式、并行与集群计算 · 计算机科学 2017-07-25 Lewis Tseng

We describe an algorithm for Byzantine agreement that is scalable in the sense that each processor sends only $\tilde{O}(\sqrt{n})$ bits, where $n$ is the total number of processors. Our algorithm succeeds with high probability against an…

分布式、并行与集群计算 · 计算机科学 2010-02-25 Valerie King , Jared Saia

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

最优化与控制 · 数学 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

We describe a protocol for the average consensus problem on any fixed undirected graph whose convergence time scales linearly in the total number nodes $n$. The protocol is completely distributed, with the exception of requiring all nodes…

最优化与控制 · 数学 2017-08-07 Alex Olshevsky

While the very first consensus protocols for the synchronous model were designed to match the worst-case lower bound, deciding in exactly t+1 rounds in all runs, it was soon realized that they could be strictly improved upon by early…

分布式、并行与集群计算 · 计算机科学 2013-11-28 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

We explore the fundamental limits of distributed balls-into-bins algorithms. We present an adaptive symmetric algorithm that achieves a bin load of two in log* n+O(1) communication rounds using O(n) messages in total. Larger bin loads can…

计算复杂性 · 计算机科学 2011-03-01 Christoph Lenzen , Roger Wattenhofer

Consensus conditions and convergence speeds are crucial for distributed consensus algorithms of networked systems. Based on a basic first-order average-consensus protocol with time-varying topologies and additive noises, this paper first…

最优化与控制 · 数学 2017-04-26 Ge Chen , Le Yi Wang , Chen Chen , George Yin

Network topology is critical for efficient parameter synchronization in distributed learning over networks. However, most existing studies do not account for bandwidth limitations in network topology design. In this paper, we propose a…

分布式、并行与集群计算 · 计算机科学 2025-12-09 Yipeng Shen , Zehan Zhu , Yan Huang , Changzhi Yan , Cheng Zhuo , Jinming Xu

Load balancing is among the basic primitives in distributed computing. In this paper, we consider this problem when executed locally on a network with nodes prone to failures. We show that there exist lightweight network topologies that are…

分布式、并行与集群计算 · 计算机科学 2025-08-05 Dariusz R. Kowalski , Jan Olkowski

The classic Fischer, Lynch, and Paterson impossibility proof demonstrates that any deterministic protocol for consensus in either a message-passing or shared-memory system must violate at least one of termination, validity, or agreement in…

分布式、并行与集群计算 · 计算机科学 2026-02-20 James Aspnes , Shlomi Dolev , Amit Hendin