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In this paper, a family of novel diffusion adaptive estimation algorithm is proposed from the asymmetric cost function perspective by combining diffusion strategy and the linear-linear cost (LLC), quadratic-quadratic cost (QQC), and…

Machine Learning · Computer Science 2021-07-08 Sihai Guan , Qing Cheng , Yong Zhao

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

We consider the problem of distributed dictionary learning, where a set of nodes is required to collectively learn a common dictionary from noisy measurements. This approach may be useful in several contexts including sensor networks.…

Machine Learning · Statistics 2013-04-15 Pierre Chainais , Cédric Richard

Distributed adaptive signal processing has attracted much attention in the recent decade owing to its effectiveness in many decentralized real-time applications in networked systems. Because many natural signals are highly sparse with most…

Optimization and Control · Mathematics 2017-11-22 Xuanyu Cao , K. J. Ray Liu

Random diffusions are a popular tool in Monte-Carlo estimations, with well established algorithms such as Walk-on-Spheres (WoS) going back several decades. In this work, we introduce diffusion estimators for the problems of angular…

Probability · Mathematics 2024-10-15 Hugo Jaquard , Pierre-Olivier Amblard , Simon Barthelmé , Nicolas Tremblay

Graph-based collaborative filtering has been established as a prominent approach in recommendation systems, leveraging the inherent graph topology of user-item interactions to model high-order connectivity patterns and enhance…

Information Retrieval · Computer Science 2025-03-21 Fan Huang , Wei Wang

In this paper, we design distributed multi-modal localization approaches for Connected and Automated vehicles. We utilize information diffusion on graphs formed by moving vehicles, based on Adapt-then-Combine strategies combined with the…

Signal Processing · Electrical Eng. & Systems 2024-11-07 Nikos Piperigkos , Aris S. Lalos , Kostas Berberidis

In this paper we propose a distributed algorithm for the estimation and control of the connectivity of ad-hoc networks in the presence of a random topology. First, given a generic random graph, we introduce a novel stochastic power…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Paolo Di Lorenzo , Sergio Barbarossa

Cooperative decision making is a vision of future network management and control. Distributed connection preemption is an important example where nodes can make intelligent decisions on allocating resources and controlling traffic flows for…

Machine Learning · Computer Science 2009-01-08 Sung-eok Jeon , Chuanyi Ji

Joint network topology inference represents a canonical problem of jointly learning multiple graph Laplacian matrices from heterogeneous graph signals. In such a problem, a widely employed assumption is that of a simple common component…

Statistics Theory · Mathematics 2021-07-09 Yanli Yuan , De Wen Soh , Xiao Yang , Kun Guo , Tony Q. S. Quek

Motivated by applications in machine learning and statistics, we study distributed optimization problems over a network of processors, where the goal is to optimize a global objective composed of a sum of local functions. In these problems,…

Optimization and Control · Mathematics 2019-05-14 Thinh T. Doan , Carolyn L. Beck , R. Srikant

In this work, we revisit a classical distributed gradient-descent algorithm, introducing an interesting class of perturbed multi-agent systems. The state of each subsystem represents a local estimate of a solution to the global optimization…

Optimization and Control · Mathematics 2025-09-04 Tarek Bazizi , Mohamed Maghenem , Paolo Frasca , Antonio Lorìa , Elena Panteley

We investigate the performance of distributed least-mean square (LMS) algorithms for parameter estimation over sensor networks where the regression data of each node are corrupted by white measurement noise. Under this condition, we show…

Systems and Control · Computer Science 2016-11-18 Reza Abdolee , Benoit Champagne

The concept of a random process has been recently extended to graph signals, whereby random graph processes are a class of multivariate stochastic processes whose coefficients are matrices with a \textit{graph-topological} structure. The…

Signal Processing · Electrical Eng. & Systems 2020-03-13 Thiernithi Variddhisai , Danilo Mandic

Distributed adaptive networks achieve better estimation performance by exploiting temporal and as well spatial diversity while consuming few resources. Recent works have studied the single task distributed estimation problem, in which the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-02 Vinay Chakravarthi Gogineni , Mrityunjoy Chakraborty

In this paper, we develop a novel weighted Laplacian method, which is partially inspired by the theory of graph Laplacian, to study recent popular graph problems, such as multilevel graph partitioning and balanced minimum cut problem, in a…

Machine Learning · Computer Science 2020-05-20 Shijie Xu , Jiayan Fang , Xiang-Yang Li

This paper presents distributed conjugate gradient algorithms for distributed parameter estimation and spectrum estimation over wireless sensor networks. In particular, distributed conventional conjugate gradient (CCG) and modified…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 R. C. de Lamare

Despite the recent success of Graph Neural Networks (GNNs), training GNNs on large graphs remains challenging. The limited resource capacities of the existing servers, the dependency between nodes in a graph, and the privacy concern due to…

Machine Learning · Computer Science 2022-03-15 Morteza Ramezani , Weilin Cong , Mehrdad Mahdavi , Mahmut T. Kandemir , Anand Sivasubramaniam

When solving consensus optimization problems over a graph, there is often an explicit characterization of the convergence rate of Gradient Descent (GD) using the spectrum of the graph Laplacian. The same type of problems under the…

Machine Learning · Statistics 2017-10-04 Guilherme França , José Bento

We propose a data-efficient Gaussian process-based Bayesian approach to the semi-supervised learning problem on graphs. The proposed model shows extremely competitive performance when compared to the state-of-the-art graph neural networks…

Machine Learning · Computer Science 2018-10-15 Yin Cheng Ng , Nicolo Colombo , Ricardo Silva
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