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Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

Optimization and Control · Mathematics 2008-01-22 S. Emre Tuna

By the CAP Theorem, a distributed data storage system can ensure either Consistency under Partition (CP) or Availability under Partition (AP), but not both. This has led to a split between CP databases, in which updates are synchronous, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-22 Marc Shapiro , Annette Bieniusa , Nuno Preguiça , Valter Balegas , Christopher Meiklejohn

This paper considers the minimization of a sum of smooth and strongly convex functions dispatched over the nodes of a communication network. Previous works on the subject either focus on synchronous algorithms, which can be heavily slowed…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-09 Mathieu Even , Hadrien Hendrikx , Laurent Massoulié

Graph partition is a fundamental problem of parallel computing for big graph data. Many graph partition algorithms have been proposed to solve the problem in various applications, such as matrix computations and PageRank, etc., but none has…

Social and Information Networks · Computer Science 2015-01-05 Xiaoming Liu , Yadong Zhou , Xiaohong Guan

The PALS architecture reduces distributed, real-time asynchronous system design to the design of a synchronous system under reasonable requirements. Assuming logical synchrony leads to fewer system behaviors and provides a conceptually…

Logic in Computer Science · Computer Science 2010-09-24 Michael Katelman , José Meseguer

Distributed data processing systems have advanced through models that expose more and more opportunities for concurrency within a computation. The scheduling of these increasingly sophisticated models has become the bottleneck for improved…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-13 Andrea Lattuada , Frank McSherry

In certain approaches to quantum computing the operations between qubits are non-deterministic and likely to fail. For example, a distributed quantum processor would achieve scalability by networking together many small components;…

Quantum Physics · Physics 2013-05-29 Ying Li , Sean D. Barrett , Thomas M. Stace , Simon C. Benjamin

Consensus halving refers to the problem of dividing a resource into two parts so that every agent values both parts equally. Prior work has shown that when the resource is represented by an interval, a consensus halving with at most $n$…

Computer Science and Game Theory · Computer Science 2022-11-22 Paul W. Goldberg , Alexandros Hollender , Ayumi Igarashi , Pasin Manurangsi , Warut Suksompong

We propose an algorithm for average consensus over a directed graph which is both fully asynchronous and robust to unreliable communications. We show its convergence to the average, while allowing for slowly growing but potentially…

Optimization and Control · Mathematics 2018-02-26 Alex Olshevsky , Ioannis Ch. Paschalidis , Artin Spiridonoff

Fault-tolerant consensus is about reaching agreement on some of the input values in a limited time by non-faulty autonomous processes, despite of failures of processes or communication medium. This problem is particularly challenging and…

Data Structures and Algorithms · Computer Science 2023-05-19 MohammadTaghi Hajiaghayi , Dariusz R. Kowalski , Jan Olkowski

Efficient computability is an important property of solution concepts in matching markets. We consider the computational complexity of finding and verifying various solution concepts in trading networks-multi-sided matching markets with…

Computational Complexity · Computer Science 2025-10-03 Tamás Fleiner , Zsuzsanna Jankó , Ildikó Schlotter , Alexander Teytelboym

Building consensus sequences based on distributed, fault-tolerant consensus, as used for replicated state machines, typically requires a separate distributed state for every new consensus instance. Allocating and maintaining this state…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-02 Jan Skrzypczak , Florian Schintke , Thorsten Schütt

The CAP Theorem is a frequently cited impossibility result in distributed systems, especially among NoSQL distributed databases. In this paper we survey some of the confusion about the meaning of CAP, including inconsistencies and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-21 Martin Kleppmann

We apply the Min-Sum message-passing protocol to solve the consensus problem in distributed optimization. We show that while the ordinary Min-Sum algorithm does not converge, a modified version of it known as Splitting yields convergence to…

Optimization and Control · Mathematics 2017-11-06 Patrick Rebeschini , Sekhar Tatikonda

The CAP theorem is routinely treated as a systems law: under network partition, a replicated service must sacrifice either consistency or availability. The theorem is correct within its standard asynchronous network model, but operational…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-25 Paul Borrill

Like Asynchrony, Mobility of faults precludes consensus. Yet, a model M in which Consensus is solvable, has an analogue relaxed model in which Consensus is not solvable and for which we can ask, whether Consensus is solvable if the system…

Data Structures and Algorithms · Computer Science 2023-02-14 Eli Gafni , Vasileios Zikas

Foundational models of computation often abstract away physical hardware limitations. However, in extreme environments like In-Network Computing (INC), these limitations become inviolable laws, creating an acute trilemma among communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Zhiyuan Ren , Mingxuan Lu , Wenchi Cheng

Maintaining causal consistency in distributed shared memory systems using vector timestamps has received a lot of attention from both theoretical and practical prospective. However, most of the previous literature focuses on full…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-28 Zhuolun Xiang , Nitin H. Vaidya

We show that the synchronized states of two systems of identical chaotic maps subject to either, a common drive that acts with a probability p in time or to the same drive acting on a fraction p of the maps, are similar. The synchronization…

Chaotic Dynamics · Physics 2015-05-13 O. Alvarez-Llamoza , M. G. Cosenza

Distributed algorithms and theories are called for in this era of big data. Under weaker local signal-to-noise ratios, we improve upon the celebrated one-round distributed principal component analysis (PCA) algorithm designed in the spirit…

Methodology · Statistics 2025-07-01 ZeYu Li , Xinsheng Zhang , Wang Zhou
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