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Despite the non-convex optimization landscape, over-parametrized shallow networks are able to achieve global convergence under gradient descent. The picture can be radically different for narrow networks, which tend to get stuck in…

Machine Learning · Statistics 2023-06-16 Rodrigo Veiga , Ludovic Stephan , Bruno Loureiro , Florent Krzakala , Lenka Zdeborová

Graph Structure Learning (GSL) has demonstrated considerable potential in the analysis of graph-unknown non-Euclidean data across a wide range of domains. However, constructing an end-to-end graph structure learning model poses a challenge…

Machine Learning · Computer Science 2023-12-18 Xiaolong Fan , Maoguo Gong , Yue Wu , Zedong Tang , Jieyi Liu

With the increase in global positioning service demands and the requirement for more precise positioning, assisting existing medium and high orbit satellite-enabled positioning systems with low Earth orbit (LEO) satellites has garnered…

Networking and Internet Architecture · Computer Science 2025-06-05 Ruibo Wang , Mustafa A. Kishk , Howard H. Yang , Mohamed-Slim Alouini

We propose an analytical framework based on stochastic geometry (SG) formulations to estimate a radar's detection performance under generalized discrete clutter conditions. We model the spatial distribution of discrete clutter scatterers as…

Signal Processing · Electrical Eng. & Systems 2022-01-21 Shobha Sundar Ram , Gaurav Singh , Gourab Ghatak

This paper deals with the stochastic geometry-based characterization of the time-varying performance of a drone cellular network in which the initial locations of drone base stations (DBSs) are modeled as a Poisson point process (PPP) and…

Information Theory · Computer Science 2021-01-26 Morteza Banagar , Harpreet S. Dhillon

Power system studies require the topological structures of real-world power networks; however, such data is confidential due to important security concerns. Thus, power grid synthesis (PGS), i.e., creating realistic power grids that imitate…

Social and Information Networks · Computer Science 2019-04-15 Mahdi Khodayar , Jianhui Wang , Zhaoyu Wang

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

Graph Self-Supervised Learning (GSSL) provides a robust pathway for acquiring embeddings without expert labelling, a capability that carries profound implications for molecular graphs due to the staggering number of potential molecules and…

Machine Learning · Computer Science 2023-10-19 Hanchen Wang , Jean Kaddour , Shengchao Liu , Jian Tang , Joan Lasenby , Qi Liu

In literature, a stochastic model for spreading nodes in a cellular cell is available. Despite its existence, the current method does not offer any versatility in dealing with sectored layers. Of course, this needed adaptability could be…

Information Theory · Computer Science 2013-06-04 Mouhamed Abdulla , Yousef R. Shayan , Junho Baek

This paper introduces Polynomial Graphical Lasso (PGL), a new approach to learning graph structures from nodal signals. Our key contribution lies in modeling the signals as Gaussian and stationary on the graph, enabling the development of a…

Signal Processing · Electrical Eng. & Systems 2024-04-04 Andrei Buciulea , Jiaxi Ying , Antonio G. Marques , Daniel P. Palomar

We consider the downlink of a cellular network with multiple cells and multi-antenna base stations including arbitrary inter-cell cooperation, realistic distance-dependent pathloss and general "fairness" requirements. Beyond Monte Carlo…

Information Theory · Computer Science 2010-06-08 Hoon Huh , Giuseppe Caire , Sung-Hyun Moon , Inkyu Lee

In this paper, we present statistical simulators for cascaded Rayleigh fading channels with and without line-of-sight (LOS). These simulators contain two individual summations and are therefore easy to implement with lower complexity.…

Other Computer Science · Computer Science 2012-07-17 Yazan Ibdah , Yanwu Ding

A stochastic modeling methodology for 3-D foliage is presented, aimed at enhancing ray-tracing simulations. The model supports adjustable stochastic geometry, density, and shape to capture variability in foliage structures. The model is…

This paper provides an analytical framework with foundations in stochastic geometry to characterize the spatio-temporal interference correlation as well as the joint coverage probability at two spatial locations in a cellular network. In…

Information Theory · Computer Science 2016-06-17 Shankar Krishnan , Harpreet S. Dhillon

This paper analyzes an emerging architecture of cellular network utilizing both planar base stations uniformly distributed in Euclidean plane and base stations located on roads. An example of this architecture is that where, in addition to…

Information Theory · Computer Science 2017-12-01 Chang-Sik Choi , François Baccelli

The employment of stochastic geometry for the analysis and design of ultra dense networks (UDNs) has provided significant insights into network densification. In addition to the characterization of the network performance and behavior,…

Signal Processing · Electrical Eng. & Systems 2024-12-04 Alexis I. Aravanis , Thanh Tu Lam , Olga Muñoz , Antonio Pascual-Iserte , Marco Di Renzo

We introduce a comprehensive analytical framework to compare between open access and closed access in two-tier femtocell networks, with regard to uplink interference and outage. Interference at both the macrocell and femtocell levels is…

Networking and Internet Architecture · Computer Science 2013-08-13 Wei Bao , Ben Liang

In this paper, we provide an analytical framework to analyze heterogeneous downlink mmWave cellular networks consisting of K tiers of randomly located base stations (BSs) where each tier operates in a mmWave frequency band.…

Information Theory · Computer Science 2017-04-05 Esma Turgut , M. Cenk Gursoy

As emerging massive constellations are intended to provide seamless connectivity for remote areas using hundreds of small low Earth orbit (LEO) satellites, new methodologies have great importance to study the performance of these networks.…

Networking and Internet Architecture · Computer Science 2020-10-05 Niloofar Okati , Taneli Riihonen

In a Poisson Point Process (PPP) network model, in which the locations of Base Stations (BSs) are randomly distributed according to a Spatial Poisson Process, has been recently used as a tractable stochastic model to analyse the performance…

Information Theory · Computer Science 2016-06-21 Sinh Cong Lam , Kumbesan Sandrasegaran