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Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Changsong Zhou , Adilson E. Motter , Jurgen Kurths

Federated learning (FL) is an emerging technique for training machine learning models using geographically dispersed data collected by local entities. It includes local computation and synchronization steps. To reduce the communication…

Machine Learning · Computer Science 2020-03-23 Pengchao Han , Shiqiang Wang , Kin K. Leung

Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but, paradoxically, may suppress synchronization in…

Disordered Systems and Neural Networks · Physics 2007-05-23 Adilson E. Motter , Changsong Zhou , Juergen Kurths

While a practical wireless network has many tiers where end users do not directly communicate with the central server, the users' devices have limited computation and battery powers, and the serving base station (BS) has a fixed bandwidth.…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Md Ferdous Pervej , Richeng Jin , Huaiyu Dai

Increasing concerns on intelligent spectrum sensing call for efficient training and inference technologies. In this paper, we propose a novel federated learning (FL) framework, dubbed federated spectrum learning (FSL), which exploits the…

Networking and Internet Architecture · Computer Science 2022-05-24 Bo Yang , Xuelin Cao , Chongwen Huang , Chau Yuen , Marco Di Renzo , Yong Liang Guan , Dusit Niyato , Lijun Qian , Merouane Debbah

By a model of coupled phase oscillators, we show analytically how synchronization in {\em non-identical} complex networks can be enhanced by introducing a proper gradient into the couplings. It is found that, by pointing the gradient from…

Chaotic Dynamics · Physics 2011-11-10 Xingang Wang , Shuguang Guan , Ying-Cheng Lai , Choy Heng Lai

We investigate the distributed multi-agent sharing optimization problem in a directed graph, with a composite objective function consisting of a smooth function plus a convex (possibly non-smooth) function shared by all agents. While…

Optimization and Control · Mathematics 2024-06-21 Sajad Zandi , Mehdi Korki

Personalized Federated Learning (pFL) holds immense promise for tailoring machine learning models to individual users while preserving data privacy. However, achieving optimal performance in pFL often requires a careful balancing act…

Machine Learning · Computer Science 2024-09-12 Azal Ahmad Khan , Ahmad Faraz Khan , Haider Ali , Ali Anwar

Training sparse networks to converge to the same performance as dense neural architectures has proven to be elusive. Recent work suggests that initialization is the key. However, while this direction of research has had some success,…

Machine Learning · Computer Science 2021-06-17 Kale-ab Tessera , Sara Hooker , Benjamin Rosman

Federated Learning (FL) is a distributed machine learning setting that requires multiple clients to collaborate on training a model while maintaining data privacy. The unaddressed inherent sparsity in data and models often results in overly…

Machine Learning · Statistics 2025-12-30 Krishna Harsha Kovelakuntla Huthasana , Alireza Olama , Andreas Lundell

In this paper, we show new data structures maintaining approximate shortest paths in sparse directed graphs with polynomially bounded non-negative edge weights under edge insertions. We give more efficient incremental…

Data Structures and Algorithms · Computer Science 2025-02-17 Adam Górkiewicz , Adam Karczmarz

We study the synchronization of coupled maps on a variety of networks including regular one and two dimensional networks, scale free networks, small world networks, tree networks, and random networks. For small coupling strengths nodes show…

Chaotic Dynamics · Physics 2009-11-10 Sarika Jalan , R. E. Amritkar

We review results on the scaling of the optimal path length in random networks with weighted links or nodes. In strong disorder we find that the length of the optimal path increases dramatically compared to the known small world result for…

Disordered Systems and Neural Networks · Physics 2015-06-25 L. A. Braunstein , Z. Wu , Y. Chen , S. V. Buldyrev , S. Sreenivasan , T. Kalisky , R. Cohen , E. Lopez , S. Havlin , H. E. Stanley

Network densification along with universal resources reuse is expected to play a key role in the realization of 5G radio access as an enabler for delivering most of the anticipated network capacity improvements. On the one hand, neither the…

Information Theory · Computer Science 2013-12-06 Antonis G. Gotsis , Angeliki Alexiou

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times…

Disordered Systems and Neural Networks · Physics 2015-06-30 Carsten Grabow , Stefan Grosskinsky , Marc Timme

We consider synchronization of weighted networks, possibly with asymmetrical connections. We show that the synchronizability of the networks cannot be directly inferred from their statistical properties. Small local changes in the network…

Disordered Systems and Neural Networks · Physics 2007-06-22 Fatihcan M. Atay , Turker Biyikoglu , Juergen Jost

Gradient sparsification, while mitigating communication bottlenecks in Federated Learning (FL), fundamentally alters the geometric landscape of model updates. We reveal that the resultant high-dimensional orthogonality renders traditional…

Cryptography and Security · Computer Science 2026-03-03 Zhiyong Jin , Runhua Xu , Chao Li , Yizhong Liu , Jianxin Li , James Joshi

Neural networks are becoming increasingly popular in applications, but our mathematical understanding of their potential and limitations is still limited. In this paper, we further this understanding by developing statistical guarantees for…

Machine Learning · Computer Science 2022-12-13 Johannes Lederer

In distributed optimization for large-scale learning, a major performance limitation comes from the communications between the different entities. When computations are performed by workers on local data while a coordinator machine…

Optimization and Control · Mathematics 2020-06-26 Dmitry Grishchenko , Franck Iutzeler , Jérôme Malick , Massih-Reza Amini

In this work, we analyze the performance of full-duplex relay selection (FDRS) in spectrum-sharing networks. Contrary to half-duplex relaying, full-duplex relaying (FDR) enables simultaneous listening/forwarding at the secondary relay(s),…

Information Theory · Computer Science 2017-10-03 Mohammad Galal Khafagy , Mohamed-Slim Alouini , Sonia Aissa
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