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We use random matrix theory to study the spectrum of random geometric graphs, a fundamental model of spatial networks. Considering ensembles of random geometric graphs we look at short range correlations in the level spacings of the…

Physics and Society · Physics 2017-06-08 Carl P. Dettmann , Orestis Georgiou , Georgie Knight

Graphs are central to modeling complex systems in domains such as social networks, molecular chemistry, and neuroscience. While Graph Neural Networks, particularly Graph Convolutional Networks, have become standard tools for graph learning,…

Machine Learning · Computer Science 2025-11-03 Angelica Liguori , Ettore Ritacco , Pietro Sabatino , Annalisa Socievole

Vehicular communication channels are characterized by a non-stationary time- and frequency-selective fading process due to rapid changes in the environment. The non-stationary fading process can be characterized by assuming local…

Networking and Internet Architecture · Computer Science 2014-04-28 Laura Bernadó , Thomas Zemen , Fredrik Tufvesson , Andreas F. Molisch , Christoph F. Mecklenbräuker

Large graphs commonly appear in social networks, knowledge graphs, recommender systems, life sciences, and decision making problems. Summarizing large graphs by their high level properties is helpful in solving problems in these settings.…

Machine Learning · Statistics 2022-08-01 Elise van der Pol , Ian Gemp , Yoram Bachrach , Richard Everett

Large-scale multiple-input multiple-output (MIMO) holds great promise for the fifth-generation (5G) and future communication systems. In near-field scenarios, the spherical wavefront model is commonly utilized to accurately depict the…

Signal Processing · Electrical Eng. & Systems 2024-10-14 Hao Jiang , Wangqi Shi , Xiao Chen , Qiuming Zhu , Zhen Chen

A Non-terrestrial Network (NTN) comprising Low Earth Orbit (LEO) satellites can enable connectivity to underserved areas, thus complementing existing telecom networks. The high-speed satellite motion poses several challenges at the physical…

Information Theory · Computer Science 2020-05-08 Talha Ahmed Khan , Mehrnaz Afshang

This paper studies the air-to-ground (AG) ultra-wideband (UWB) propagation channel through measurements between 3.1 GHz to 4.8 GHz using unmanned-aerial-vehicles (UAVs). Different line-of-sight (LOS) and obstructed- LOS scenarios and two…

Signal Processing · Electrical Eng. & Systems 2019-06-11 Wahab Ali Gulzar Khawaja , Ozgur Ozdemir , Fatih Erden , Ismail Guvenc , David Matolak

Graph-based clustering methods like spectral clustering and SpectralNet are very efficient in detecting clusters of non-convex shapes. Unlike the popular $k$-means, graph-based clustering methods do not assume that each cluster has a single…

Machine Learning · Computer Science 2023-02-28 Mashaan Alshammari , John Stavrakakis , Masahiro Takatsuka

Gaussian graphical models represent the underlying graph structure of conditional dependence between random variables which can be determined using their partial correlation or precision matrix. In a high-dimensional setting, the precision…

Applications · Statistics 2016-05-24 Adria Caballe , Natalia Bochkina , Claus Mayer

This paper presents a diffusion based probabilistic interpretation of spectral clustering and dimensionality reduction algorithms that use the eigenvectors of the normalized graph Laplacian. Given the pairwise adjacency matrix of all…

Numerical Analysis · Mathematics 2007-05-23 Boaz Nadler , Stephane Lafon , Ronald R. Coifman , Ioannis G. Kevrekidis

Wireless channel propagation parameter estimation forms the foundation of channel sounding, estimation, modeling, and sensing. This paper introduces a Deep Learning approach for joint delay- and Doppler estimation from frequency and time…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Steffen Schieler , Sebastian Semper , Reiner Thomä

When signals propagate through forest areas, they will be affected by environmental factors such as vegetation. Different types of environments have different influences on signal attenuation. This paper analyzes the existing classical…

Information Theory · Computer Science 2022-09-08 Zhe Xiao , Shu Sun , Zhenyu Liu , Lianming Xu , Wei Huang , Li Wang , Aiguo Fei

The evolution toward 6G communication systems is expected to rely on integrated three-dimensional network architectures where terrestrial infrastructures coexist with non-terrestrial stations such as satellites, enabling ubiquitous…

Signal Processing · Electrical Eng. & Systems 2026-03-27 Nicolò Cenni , Marina Barbiroli , Vittorio Degli-Esposti , Enrico M. Vitucci , Carla Amatetti , Franco Fuschini

Channel Charting is a dimensionality reduction technique that reconstructs a map of the radio environment from similarity relationships found in channel state information. Distances in the channel chart are often computed based on some…

Information Theory · Computer Science 2024-04-16 Florian Euchner , Phillip Stephan , Stephan ten Brink

Finding the parameters of a latent variable causal model is central to causal inference and causal identification. In this article, we show that existing graphical structures that are used in causal inference are not stable under…

Machine Learning · Statistics 2025-10-03 Mehrzad Saremi

In many problem settings that require spatio-temporal forecasting, the values in the time-series not only exhibit spatio-temporal correlations but are also influenced by spatial diffusion across locations. One such example is forecasting…

Machine Learning · Computer Science 2024-12-19 Malay Pandey , Vaishali Jain , Nimit Godhani , Sachchida Nand Tripathi , Piyush Rai

In this work, simulation-based equations to calculate propagation constant in uniform or periodic structures (SES) are deduced and verified through simulations in various types of structures. The modeling of those structures are essentially…

Computational Engineering, Finance, and Science · Computer Science 2025-05-07 Yifan Yin , Bingjie Zhang , Ke Wu

In the Telephone Broadcast problem we are given a graph $G=(V,E)$ with a designated source vertex $s\in V$. Our goal is to transmit a message, which is initially known only to $s$, to all vertices of the graph by using a process where in…

Data Structures and Algorithms · Computer Science 2025-04-21 Yudai Egami , Tatsuya Gima , Tesshu Hanaka , Yasuaki Kobayashi , Michael Lampis , Valia Mitsou , Edouard Nemery , Yota Otachi , Manolis Vasilakis , Daniel Vaz

Graph diffusion models have recently been proposed to synthesize entire graphs, such as molecule graphs. Although existing methods have shown great performance in generating entire graphs for graph-level learning tasks, no graph diffusion…

Machine Learning · Computer Science 2025-03-18 Yancheng Wang , Changyu Liu , Yingzhen Yang

Realistic propagation modeling requires a detailed understanding and characterization of the radio channel properties. This paper is based on channel sounder measurements with 1 GHz bandwidth at a carrier frequency of 5.7 GHz and particular…

Networking and Internet Architecture · Computer Science 2018-09-12 Kim Mahler , Wilhelm Keusgen , Fredrik Tufvesson , Thomas Zemen , Giuseppe Caire