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In the context of sensor networks, gossip algorithms are a popular, well esthablished technique for achieving consensus when sensor data is encoded in linear spaces. Gossip algorithms also have several extensions to non linear data spaces.…

Optimization and Control · Mathematics 2014-05-19 Anass Bellachehab , Jérémie Jakubowicz

The concept of ranking aggregation plays a central role in preference analysis, and numerous algorithms for calculating median rankings, often originating in social choice theory, have been documented in the literature, offering theoretical…

Machine Learning · Computer Science 2026-05-14 Kerrian Le Caillec , Anna Van Elst , Igor Colin , Stephan Clémençon

In this work we present three different randomized gossip algorithms for solving the average consensus problem while at the same time protecting the information about the initial private values stored at the nodes. We give iteration…

Optimization and Control · Mathematics 2017-06-26 Filip Hanzely , Jakub Konečný , Nicolas Loizou , Peter Richtárik , Dmitry Grishchenko

In the IoT era, information is more and more frequently picked up by connected smart sensors with increasing, though limited, storage, communication and computation abilities. Whether due to privacy constraints or to the structure of the…

Machine Learning · Computer Science 2026-03-26 Igor Colin , Aurélien Bellet , Stephan Clémençon , Joseph Salmon

We consider the average-consensus problem in a multi-node network of finite size. Communication between nodes is modeled by a sequence of directed signals with arbitrary communication delays. Four distributed algorithms that achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-23 Kevin Topley , Vikram Krishnamurthy

We study the average consensus problem of multi-agent systems for general network topologies with unidirectional information flow. We propose two (linear) distributed algorithms, deterministic and gossip, respectively for the cases where…

Systems and Control · Computer Science 2012-03-13 Kai Cai , Hideaki Ishii

The convergence of the gossip process has been extensively studied; however, algorithms that generate a set of stochastic matrices, the infinite product of which converges to a rank-one matrix determined by a given weight vector, have been…

Optimization and Control · Mathematics 2025-02-28 Erkan Bayram , Mohamed-Ali Belabbas

Consider a connected network of agents endowed with local cost functions representing private objectives. Agents seek to find an agreement on some minimizer of the aggregate cost, by means of repeated communications between neighbors.…

Optimization and Control · Mathematics 2013-09-30 Walid Ben-Ameur , Pascal Bianchi , Jérémie Jakubowicz

We have recently proposed quantized gossip algorithms which solve the consensus and averaging problems on directed graphs with the least restrictive connectivity requirements. In this paper we study the convergence time of these algorithms.…

Systems and Control · Computer Science 2011-11-10 Kai Cai , Hideaki Ishii

Efficient and robust algorithms for decentralized estimation in networks are essential to many distributed systems. Whereas distributed estimation of sample mean statistics has been the subject of a good deal of attention, computation of…

Machine Learning · Statistics 2019-01-25 Igor Colin , Aurélien Bellet , Joseph Salmon , Stéphan Clémençon

In this paper, we develop and analyze a gossip-based average consensus algorithm that enables all of the components of a distributed system, each with some initial value, to reach (approximate) average consensus on their initial values…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Nicolaos E. Manitara , Apostolos I. Rikos , Christoforos N. Hadjicostis

This paper proposes the matrix-weighted consensus algorithm, which is a generalization of the consensus algorithm in the literature. Given a networked dynamical system where the interconnections between agents are weighted by nonnegative…

Optimization and Control · Mathematics 2018-01-09 Minh Hoang Trinh , Hyo-Sung Ahn

We consider two variants of the classical gossip algorithm. The first variant is a version of asynchronous stochastic approximation. We highlight a fundamental difficulty associated with the classical asynchronous gossip scheme, viz., that…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Vivek S. Borkar , Rahul Makhijani , Rajesh Sundaresan

There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept…

Physics and Society · Physics 2019-07-24 Isaac Klickstein , Louis Pecora , Francesco Sorrentino

Large language models have advanced rapidly, but no single model excels in every area -- each has its strengths and weaknesses. Instead of relying on one model alone, we take inspiration from gossip protocols in distributed systems, where…

Multiagent Systems · Computer Science 2025-08-27 Saksham Arora

Consensus formation is a central problem in collective behavior. In this work, we develop quantum models of opinion dynamics that can be exactly solved and implemented on current quantum hardware. By exploiting quantum superposition,…

Physics and Society · Physics 2026-03-10 Xingyu Guo , Xiaoyang Wang , Lingxiao Wang

In this paper we study two related iterative randomized algorithms for distributed computation of averages. The first one is the recently proposed Broadcast Gossip Algorithm, in which at each iteration one randomly selected node broadcasts…

Optimization and Control · Mathematics 2011-07-25 Paolo Frasca , Fabio Fagnani

From a quantum information perspective, verifying quantum coherence in a quantum experiment typically requires adjusting measurement settings or changing inputs. A paradigmatic example is that of a double-slit experiment, where observing…

Quantum Physics · Physics 2025-04-01 Fatemeh Bibak , Flavio Del Santo , Borivoje Dakić

Gossip protocols aim at arriving, by means of point-to-point or group communications, at a situation in which all the agents know each other secrets. Recently a number of authors studied distributed epistemic gossip protocols. These…

Logic in Computer Science · Computer Science 2017-07-28 Krzysztof R. Apt , Dominik Wojtczak

Gossip protocols have been proposed as a robust and efficient method for disseminating information throughout large-scale networks. In this paper, we propose a compositional analysis technique to study formal probabilistic models of gossip…

Logic in Computer Science · Computer Science 2023-06-22 Ruggero Lanotte , Massimo Merro , Simone Tini