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The Collective Graphical Model (CGM) models a population of independent and identically distributed individuals when only collective statistics (i.e., counts of individuals) are observed. Exact inference in CGMs is intractable, and previous…

Machine Learning · Computer Science 2014-05-21 Li-Ping Liu , Daniel Sheldon , Thomas G. Dietterich

This work studies the achievable secure rate per source-destination pair in wireless networks. First, a path loss model is considered, where the legitimate and eavesdropper nodes are assumed to be placed according to Poisson point processes…

Information Theory · Computer Science 2010-04-13 O. Ozan Koyluoglu , C. Emre Koksal , Hesham El Gamal

This work is devoted to the asymptotic analysis of high frequency wave propagation in random media with long-range dependence. We are interested in two asymptotic regimes, that we investigate simultaneously: the paraxial approximation,…

Analysis of PDEs · Mathematics 2015-08-26 Christophe Gomez , Olivier Pinaud

We consider the problem of linear fitting of noisy data in the case of broad (say $\alpha$-stable) distributions of random impacts ("noise"), which can lack even the first moment. This situation, common in statistical physics of small…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Eugene B. Postnikov , Igor M. Sokolov

Given a set of wireless links, a fundamental problem is to find the largest subset that can transmit simultaneously, within the SINR model of interference. Significant progress on this problem has been made in recent years. In this note, we…

Data Structures and Algorithms · Computer Science 2012-03-15 Magnus M. Halldorsson , Pradipta Mitra

The emergence of large-scale wireless networks with partially-observable and time-varying dynamics has imposed new challenges on the design of optimal control policies. This paper studies efficient scheduling algorithms for wireless…

Networking and Internet Architecture · Computer Science 2023-08-08 Quang Minh Nguyen , Eytan Modiano

We consider the problem of rate allocation in a Gaussian multiple-access channel, with the goal of maximizing a utility function over transmission rates. In contrast to the literature which focuses on linear utility functions, we study…

Information Theory · Computer Science 2008-10-08 Ali ParandehGheibi , Atilla Eryilmaz , Asuman Ozdaglar , Muriel Medard

In wireless mesh networks such as WLAN (IEEE 802.11s) or WMAN (IEEE 802.11), each node should help to relay packets of neighboring nodes toward gateway using multi-hop routing mechanisms. Wireless mesh networks usually intensively deploy…

Networking and Internet Architecture · Computer Science 2010-07-15 Hung-Chin Jang

In the wireless environment, dissemination techniques may improve data access for the users. In this paper, we show a description of dissemination architecture that fits the overall telecommunication network. This architecture is designed…

Networking and Internet Architecture · Computer Science 2010-07-15 Ahmad Saad Al-Mogren

This paper presents a stochastic geometry model for the investigation of fundamental information theoretic limitations in wireless networks. We derive a new unified multi-parameter cut-set bound on the capacity of networks of arbitrary…

Information Theory · Computer Science 2013-05-02 Georgios Rodolakis

In this paper, the impact of imperfect beam alignment (IBA) on millimeter wave (mmWave) wireless power transfer (WPT) is investigated. We consider a mmWave WPT network, where the location of the energy transmitters follows a Poisson point…

Information Theory · Computer Science 2021-02-23 Man Wang , Chao Zhang , Xiaoming Chen , Suhua Tang

As wireless systems grow rapidly worldwide, one of the most important things, wireless systems designers and service providers faces is interference. Interference decreases coverage, capacity [1], and limits the effectiveness of both new…

Networking and Internet Architecture · Computer Science 2018-11-01 Zeeshan Haider , Muhammad Saleem , T. Jamal

Gaussian Process is a non-parametric prior which can be understood as a distribution on the function space intuitively. It is known that by introducing appropriate prior to the weights of the neural networks, Gaussian Process can be…

Machine Learning · Statistics 2021-01-08 Erdong Guo , David Draper

We revisit the replica method for analyzing inference and learning in parametric models, considering situations where the data-generating distribution is unknown or analytically intractable. Instead of assuming idealized distributions to…

Disordered Systems and Neural Networks · Physics 2025-11-17 Takashi Takahashi

We present a deterministic channel model which captures several key features of multiuser wireless communication. We consider a model for a wireless network with nodes connected by such deterministic channels, and present an exact…

Information Theory · Computer Science 2007-10-23 A. S. Avestimehr , S. N. Diggavi , D. N. C. Tse

Multi-user Gaussian MIMO wiretap channel is considered under interference power constraints (IPC), in addition to the total transmit power constraint (TPC). Algorithms for \textit{global} maximization of its secrecy rate are proposed. Their…

Information Theory · Computer Science 2020-12-02 Limeng Dong , Sergey Loyka , Yong Li

In this paper we provide explicit upper bounds on some distances between the (law of the) output of a random Gaussian NN and (the law of) a random Gaussian vector. Our results concern both shallow random Gaussian neural networks with…

In this paper we study the large deviations of time averaged mean square displacement (TAMSD) for Gaussian processes. The theory of large deviations is related to the exponential decay of probabilities of large fluctuations in random…

Probability · Mathematics 2018-11-29 J. Gajda , A. Wylomanska , H. Kantz , A. V. Chechkin , G. Sikora

Propagation of high-frequency wave in periodic media is a challenging problem due to the existence of multiscale characterized by short wavelength, small lattice constant and large physical domain size. Conventional computational methods…

Numerical Analysis · Mathematics 2016-06-07 Ricardo Delgadillo , Jianfeng Lu , Xu Yang

In this paper we consider the problem of transmission power allocation for remote estimation of a dynamical system in the case where the estimator is able to simultaneously receive packets from multiple interfering sensors, as it is…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Matthias Pezzutto , Luca Schenato , Subhrakanti Dey