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The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich

Objective: Modelling the associations from high-throughput experimental molecular data has provided unprecedented insights into biological pathways and signalling mechanisms. Graphical models and networks have especially proven to be useful…

Machine Learning · Statistics 2013-04-24 Marco Scutari , Radhakrishnan Nagarajan

Large real-life complex networks are often modeled by various random graph constructions and hundreds of further references therein. In many cases it is not at all clear how the modeling strength of differently generated random graph model…

Data Structures and Algorithms · Computer Science 2020-09-01 András Faragó , Rupei Xu

In wireless networks with random node distribution, the underlying point process model and the channel fading process are usually considered separately. A unified framework is introduced that permits the geometric characterization of fading…

Information Theory · Computer Science 2007-11-14 Martin Haenggi

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

Models of network diffusion typically rely on the Laplacian matrix, capturing interactions via direct connections. Beyond direct interactions, information in many systems can also flow via indirect pathways, where influence typically…

Physics and Society · Physics 2025-10-10 Lluís Torres-Hugas , Jordi Duch , Sergio Gómez

Over the past decade, many works on the modeling of wireless networks using stochastic geometry have been proposed. Results about probability of coverage, throughput or mean interference, have been provided for a wide variety of networks…

Networking and Internet Architecture · Computer Science 2016-02-08 Alexandre Mouradian

Regression models applied to network data where node attributes are the dependent variables poses a methodological challenge. As has been well studied, naive regression neither properly accounts for community structure, nor does it account…

Methodology · Statistics 2024-02-16 Riddhi Pratim Ghosh , Jukka-Pekka Onnela , Ian Barnett

Deciphering the associations between network connectivity and nodal attributes is one of the core problems in network science. The dependency structure and high-dimensionality of networks pose unique challenges to traditional dependency…

Methodology · Statistics 2024-06-27 Youjin Lee , Cencheng Shen , Carey E. Priebe , Joshua T. Vogelstein

Room geometry is important prior information for implementing realistic 3D audio rendering. For this reason, various room geometry inference (RGI) methods have been developed by utilizing the time-of-arrival (TOA) or…

Audio and Speech Processing · Electrical Eng. & Systems 2024-11-25 Inmo Yeon , Jung-Woo Choi

Wireless sensor networks are vulnerable to several attacks, one of them being the black hole attack. A black hole is a malicious node that attracts all the traffic in the network by advertising that it has the shortest path in the network.…

Networking and Internet Architecture · Computer Science 2014-01-14 Deepali Virmani , Ankita Soni , Nikhil Batra

This paper studies the effect of boundary value conditions on consensus networks. Consider a network where some nodes keep their estimates constant while other nodes average their estimates with that of their neighbors. We analyze such…

Social and Information Networks · Computer Science 2014-07-29 Amir Leshem , Maziyar Hamdi , Vikram Krishnamurthy

The aim of this paper is to study the effect of cooperation on system delay, quantified as the number of retransmissions required to deliver a broadcast message to all intended receivers. Unlike existing works on broadcast scenarios, where…

Information Theory · Computer Science 2013-06-19 Anvar Tukmanov , Zhiguo Ding , Said Boussakta , Abbas Jamalipour

This article reviews and evaluates models of network evolution based on the notion of structural diversity. We show that diversity is an underlying theme of three principles of network evolution: the preferential attachment model,…

Social and Information Networks · Computer Science 2020-09-22 Jérôme Kunegis

In this paper, a lower bound on the capacity of wireless ad hoc erasure networks is derived in closed form in the canonical case where $n$ nodes are uniformly and independently distributed in the unit area square. The bound holds almost…

Information Theory · Computer Science 2009-01-15 Rayyan G. Jaber , Jeffrey G. Andrews

The industry is satisfying the increasing demand for wireless bandwidth by densely deploying a large number of access points which are centrally managed, e.g. enterprise WiFi networks deployed in university campuses, companies, airports…

Networking and Internet Architecture · Computer Science 2014-05-02 Antonios Michaloliakos , Ryan Rogalin , Yonglong Zhang , Konstantinos Psounis , Giuseppe Caire

Lattices are important as models for the node locations in wireless networks for two main reasons: (1) When network designers have control over the placement of the nodes, they often prefer a regular arrangement in a lattice for coverage…

Information Theory · Computer Science 2010-04-02 Martin Haenggi

We consider a diffusion process on the edges of a finite network and allow for feedback effects between different, possibly non-adjacent edges. This generalizes the setting that is common in the literature, where the only considered…

Functional Analysis · Mathematics 2010-05-13 Stefano Cardanobile , Delio Mugnolo , Robin Nittka

In this paper, the application of wireless information and power transfer to cooperative networks is investigated, where the relays in the network are randomly located and based on the decode-forward strategy. For the scenario with one…

Information Theory · Computer Science 2014-03-26 Z. Ding , I. Krikidis , B. Sharif , H. V. Poor

We study the effect of the choice of embedding geometry on the entropy of random geometric graph ensembles with soft connection functions. First we show that when the connection range is small, the entropy is dependent only on the dimension…

Probability · Mathematics 2026-01-22 Oliver Baker , Carl P. Dettmann
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