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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

This paper proposes the first distributed algorithm that solves the weight-balancing problem using only finite rate and simplex communications among nodes, compliant with the directed nature of the graph edges. It is proved that the…

Optimization and Control · Mathematics 2020-03-03 Chang-Shen Lee , Nicolò Michelusi , Gesualdo Scutari

This paper regards randomized discrete-time consensus systems that preserve the average "on average". As a main result, we provide an upper bound on the mean square deviation of the consensus value from the initial average. Then, we apply…

Optimization and Control · Mathematics 2013-04-19 Paolo Frasca , Julien M. Hendrickx

A common approach for designing scalable algorithms for massive data sets is to distribute the computation across, say $k$, machines and process the data using limited communication between them. A particularly appealing framework here is…

Data Structures and Algorithms · Computer Science 2017-05-24 Sepehr Assadi , Sanjeev Khanna

We consider distributed plurality consensus in a complete graph of size $n$ with $k$ initial opinions. We design an efficient and simple protocol in the asynchronous communication model that ensures that all nodes eventually agree on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-23 Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Frederik Mallmann-Trenn , Horst Trinker

In this paper, we study fault-tolerant distributed consensus in wireless systems. In more detail, we produce two new randomized algorithms that solve this problem in the abstract MAC layer model, which captures the basic interface and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-09 Calvin Newport , Peter Robinson

Many distributed optimization algorithms achieve existentially-optimal running times, meaning that there exists some pathological worst-case topology on which no algorithm can do better. Still, most networks of interest allow for…

Data Structures and Algorithms · Computer Science 2023-12-29 Bernhard Haeupler , David Wajc , Goran Zuzic

An anonymous dynamic network is a network of indistinguishable processes whose communication links may appear or disappear unpredictably over time. Previous research has shown that deterministically computing an arbitrary function of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-25 Giuseppe A. Di Luna , Giovanni Viglietta

We give a simple characterization of the functions that can be computed deterministically by anonymous processes in dynamic networks, depending on the number of leaders in the network. In addition, we provide efficient distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Giuseppe A. Di Luna , Giovanni Viglietta

This two-part paper discusses robustification methodologies for linear-iterative distributed algorithms for consensus and coordination problems in multicomponent systems, in which unreliable communication links may drop packets. We consider…

Systems and Control · Computer Science 2011-09-30 Alejandro D. Dominguez-Garcia , Christoforos N. Hadjicostis , Nitin H. Vaidya

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Armando Castañeda , Yannai A. Gonczarowski , Yoram Moses

When processing data with uncertainty, it is desirable that the output of the algorithm is stable against small perturbations in the input. Varma and Yoshida [SODA'21] recently formalized this idea and proposed the notion of average…

Data Structures and Algorithms · Computer Science 2021-11-08 Soh Kumabe , Yuichi Yoshida

Solving optimization problems in multi-agent systems (MAS) involves information exchange between agents. These solutions must be robust to delays and errors that arise from an unreliable wireless network which typically connects the MAS. In…

Dynamical Systems · Mathematics 2019-12-19 Arunselvan Ramaswamy , Adrian Redder , Daniel E. Quevedo

The paper considers the consensus problem in large networks represented by time-varying directed graphs. A practical way of dealing with large-scale networks is to reduce their dimension by collapsing the states of nodes belonging to…

Systems and Control · Computer Science 2016-08-31 Samuel Martin , Irinel-Constantin Morarescu , Dragan Nesic

Distributed optimization finds applications in large-scale machine learning, data processing and classification over multi-agent networks. In real-world scenarios, the communication network of agents may encounter latency that may affect…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Mohammadreza Doostmohammadian , Narahari Kasagatta Ramesh , Alireza Aghasi

The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. The accent is put here on the study of the time-delays influence: both constant and time-varying…

Optimization and Control · Mathematics 2020-10-02 Pierre-Alexandre Bliman , Giancarlo Ferrari-Trecate

The present paper is devoted to estimating the speed of convergence towards consensus for a general class of discrete-time multi-agent systems. In the systems considered here, both the topology of the interconnection graph and the weight of…

Optimization and Control · Mathematics 2020-10-02 David Angeli , Pierre-Alexandre Bliman

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

Optimization and Control · Mathematics 2024-06-07 Aaron Fainman , Stefan Vlaski

Considering some predictive mechanisms, we show that ultrafast average-consensus can be achieved in networks of interconnected agents. More specifically, by predicting the dynamics of the network several steps ahead and using this…

Data Analysis, Statistics and Probability · Physics 2007-12-06 Hai-Tao Zhang , Guy-Bart Stan , Michael ZhiQiang Chen , Jan M. Maciejowski , Tao Zhou

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
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