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In this paper, we focus on subspace learning problems on the Grassmann manifold. Interesting applications in this setting include low-rank matrix completion and low-dimensional multivariate regression, among others. Motivated by privacy…

Machine Learning · Computer Science 2018-03-01 Bamdev Mishra , Hiroyuki Kasai , Pratik Jawanpuria , Atul Saroop

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

In this paper, we propose novel gossip algorithms for the low-rank decentralized matrix completion problem. The proposed approach is on the Riemannian Grassmann manifold that allows local matrix completion by different agents while…

Numerical Analysis · Computer Science 2016-05-24 Bamdev Mishra , Hiroyuki Kasai , Atul Saroop

Gossip algorithms for aggregation have recently received significant attention for sensor network applications because of their simplicity and robustness in noisy and uncertain environments. However, gossip algorithms can waste significant…

Information Theory · Computer Science 2007-07-13 Alexandros G. Dimakis , Anand D. Sarwate , Martin J. Wainwright

Gossip algorithms for distributed computation are attractive due to their simplicity, distributed nature, and robustness in noisy and uncertain environments. However, using standard gossip algorithms can lead to a significant waste in…

Information Theory · Computer Science 2009-11-13 Alexandros G. Dimakis , Anand D. Sarwate , Martin J. Wainwright

In recent times, a considerable amount of work has been devoted to the development and analysis of gossip algorithms in Geometric Random Graphs. In a recently introduced model termed "Geographic Gossip," each node is aware of its position…

Multiagent Systems · Computer Science 2007-07-16 Hariharan Narayanan

Periodic gossip algorithms have generated a lot of interest due to their ability to compute the global statistics by using local pairwise communications among nodes. Simple execution, robustness to topology changes, and distributed nature…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-31 S. Kouachi , Sateeshkrishna Dhuli , Y. N. Singh

Gossip algorithms are widely used in modern distributed systems, with applications ranging from sensor networks and peer-to-peer networks to mobile vehicle networks and social networks. A tremendous research effort has been devoted to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Guodong Shi , Bo Li , Mikael Johansson , Karl Henrik Johansson

Eigenvectors of data matrices play an important role in many computational problems, ranging from signal processing to machine learning and control. For instance, algorithms that compute positions of the nodes of a wireless network on the…

Data Structures and Algorithms · Computer Science 2011-03-23 Satish Babu Korada , Andrea Montanari , Sewoong Oh

Gossip algorithms are attractive for in-network processing in sensor networks because they do not require any specialized routing, there is no bottleneck or single point of failure, and they are robust to unreliable wireless network…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Alexandros G. Dimakis , Soummya Kar , Jose M. F. Moura , Michael G. Rabbat , Anna Scaglione

This paper studies reliability of probabilistic neighbor-aware gossip algorithms over three well- known large-scale random topologies, namely Bernoulli (or Erd\H{o}s-R\'enyi) graph, the random geometric graph, and the scale-free graph. We…

Networking and Internet Architecture · Computer Science 2017-04-20 Ruijing Hu , Leander Jehl

Machine learning over fully distributed data poses an important problem in peer-to-peer (P2P) applications. In this model we have one data record at each network node, but without the possibility to move raw data due to privacy…

Machine Learning · Computer Science 2012-06-07 Róbert Ormándi , István Hegedüs , Márk Jelasity

In this work we present a new framework for the analysis and design of randomized gossip algorithms for solving the average consensus problem. We show how classical randomized iterative methods for solving linear systems can be interpreted…

Optimization and Control · Mathematics 2019-06-04 Nicolas Loizou , Peter Richtárik

In many applications, nodes in a network desire not only a consensus, but an optimal one. To date, a family of subgradient algorithms have been proposed to solve this problem under general convexity assumptions. This paper shows that, for…

Optimization and Control · Mathematics 2011-02-11 Jie Lu , Choon Yik Tang , Paul R. Regier , Travis D. Bow

Gossip protocols are popular methods for average consensus problems in distributed computing. We prove new convergence guarantees for a variety of such protocols, including path, clique, and synchronous pairwise gossip. These arise by…

Optimization and Control · Mathematics 2021-10-28 Jamie Haddock , Benjamin Jarman , Chen Yap

As decentralized AI and edge intelligence become increasingly prevalent, ensuring robustness and trustworthiness in such distributed settings has become a critical issue-especially in the presence of corrupted or adversarial data.…

Machine Learning · Statistics 2025-09-12 Anna Van Elst , Igor Colin , Stephan Clémençon

In this paper, we study gossip algorithms in communication models that describe the peer-to-peer networking functionality included in most standard smartphone operating systems. We begin by describing and analyzing a new synchronous gossip…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-16 Calvin Newport , Alex Weaver , Chaodong Zheng

We study gossip algorithms for the fundamental rumor spreading problem, where the goal is to disseminate a rumor from a given source node to all nodes in an arbitrary (and unknown) graph. Gossip algorithms allow each node to call only one…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-15 Fabien Dufoulon , William K. Moses , Gopal Pandurangan

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 network of agents connected by communication links, where each agent holds a real value. The gossip problem consists in estimating the average of the values diffused in the network in a distributed manner. We develop a method…

Multiagent Systems · Computer Science 2019-06-12 Raphaël Berthier , Francis Bach , Pierre Gaillard
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