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This chapter deals with decentralized learning algorithms for in-network processing of graph-valued data. A generic learning problem is formulated and recast into a separable form, which is iteratively minimized using the…

Optimization and Control · Mathematics 2015-04-01 Georgios B. Giannakis , Qing Ling , Gonzalo Mateos , Ioannis D. Schizas , Hao Zhu

We consider a joint uplink and downlink scheduling problem of a fully distributed wireless networked control system (WNCS) with a limited number of frequency channels. Using elements of stochastic systems theory, we derive a sufficient…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Gaoyang Pang , Kang Huang , Daniel E. Quevedo , Branka Vucetic , Yonghui Li , Wanchun Liu

Self-stabilization is a versatile technique to withstand any transient fault in a distributed system. Mobile robots (or agents) are one of the emerging trends in distributed computing as they mimic autonomous biologic entities. The…

Data Structures and Algorithms · Computer Science 2009-09-29 Lélia Blin , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

Unlabeled motion planning involves assigning a set of robots to target locations while ensuring collision avoidance, aiming to minimize the total distance traveled. The problem forms an essential building block for multi-robot systems in…

This work presents dyGRASS, an efficient dynamic algorithm for spectral sparsification of large undirected graphs that undergo streaming edge insertions and deletions. At its core, dyGRASS employs a random-walk-based method to efficiently…

Social and Information Networks · Computer Science 2025-09-09 Yihang Yuan , Ali Aghdaei , Zhuo Feng

This paper presents a data-driven decentralized trajectory optimization approach for multi-robot motion planning in dynamic environments. When navigating in a shared space, each robot needs accurate motion predictions of neighboring robots…

Robotics · Computer Science 2021-02-25 Hai Zhu , Francisco Martinez Claramunt , Bruno Brito , Javier Alonso-Mora

Network growth models that embody principles such as preferential attachment and local attachment rules have received much attention over the last decade. Among various approaches, random walks have been leveraged to capture such…

Probability · Mathematics 2017-11-09 Giulio Iacobelli , Daniel R. Figueiredo , Giovanni Neglia

Graph embedding, representing local and global neighborhood information by numerical vectors, is a crucial part of the mathematical modeling of a wide range of real-world systems. Among the embedding algorithms, random walk-based algorithms…

Social and Information Networks · Computer Science 2022-07-06 Sarmad N. Mohammed , Semra Gündüç

We present a decentralized and scalable approach for deployment of a robot swarm. Our approach tackles scenarios in which the swarm must reach multiple spatially distributed targets, and enforce the constraint that the robot network cannot…

Robotics · Computer Science 2018-06-04 Nathalie Majcherczyk , Adhavan Jayabalan , Giovanni Beltrame , Carlo Pinciroli

Graph embedding based on random-walks supports effective solutions for many graph-related downstream tasks. However, the abundance of embedding literature has made it increasingly difficult to compare existing methods and to identify…

Machine Learning · Computer Science 2021-10-26 Zexi Huang , Arlei Silva , Ambuj Singh

This paper studies the stability and convergence properties of a class of multi-agent concurrent learning (CL) algorithms with momentum and restart. Such algorithms can be integrated as part of the estimation pipelines of data-enabled…

Optimization and Control · Mathematics 2024-06-24 Daniel E. Ochoa , Muhammad U. Javed , Xudong Chen , Jorge I. Poveda

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

Enabling robots to autonomously navigate complex environments is essential for real-world deployment. Prior methods approach this problem by having the robot maintain an internal map of the world, and then use a localization and planning…

Machine Learning · Computer Science 2018-05-21 Gregory Kahn , Adam Villaflor , Bosen Ding , Pieter Abbeel , Sergey Levine

Message-passing graph neural networks (GNNs) excel at capturing local relationships but struggle with long-range dependencies in graphs. In contrast, graph transformers (GTs) enable global information exchange but often oversimplify the…

Machine Learning · Computer Science 2024-10-08 Dexiong Chen , Till Hendrik Schulz , Karsten Borgwardt

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

Machine Learning · Computer Science 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

As distributed learning applications such as Federated Learning, the Internet of Things (IoT), and Edge Computing grow, it is critical to address the shortcomings of such technologies from a theoretical perspective. As an abstraction, we…

Machine Learning · Computer Science 2025-03-14 Sajjad Ghiasvand , Amirhossein Reisizadeh , Mahnoosh Alizadeh , Ramtin Pedarsani

We present DeepWalk, a novel approach for learning latent representations of vertices in a network. These latent representations encode social relations in a continuous vector space, which is easily exploited by statistical models. DeepWalk…

Social and Information Networks · Computer Science 2014-06-30 Bryan Perozzi , Rami Al-Rfou , Steven Skiena

We give a short proof of Theorem 2.1 from [MR07], stating that the linearly edge reinforced random walk (ERRW) on a locally finite graph is recurrent if and only if it returns to its starting point almost surely. This result was proved in…

Probability · Mathematics 2009-11-30 Laurent Tournier

Graph Neural Networks (GNNs) have become the backbone for a myriad of tasks pertaining to graphs and similar topological data structures. While many works have been established in domains related to node and graph classification/regression…

Machine Learning · Computer Science 2022-09-07 Appan Rakaraddi , Siew Kei Lam , Mahardhika Pratama , Marcus De Carvalho
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