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Power amplifiers (PAs) are essential components in wireless communication systems, and the design of their behavioral models has been an important research topic for many years. The widely used generalized memory polynomial (GMP) model…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Yuchao Wang , Yimin Wei

Assuming a network of infinite extent, several researchers have analyzed small-cell networks using a Poisson point process (PPP) location model, leading to simple analytic expressions. The general assumption has been that these results…

Information Theory · Computer Science 2015-12-11 S. Alireza Banani , Andrew W. Eckford , Raviraj S. Adve

Coupling from the past (CFTP) methods have been used to generate perfect samples from finite Gibbs hard-sphere models, an important class of spatial point processes, which is a set of spheres with the centers on a bounded region that are…

Probability · Mathematics 2021-03-05 S. B. Moka , S. Juneja , M. R. H. Mandjes

This paper proposes a novel approach for computing the meta distribution of the signal-to-interference-plus-noise ratio (SINR) for the downlink transmission in a wireless network with Rayleigh fading. The novel approach relies on an…

Information Theory · Computer Science 2023-02-08 Yujie Qin , Mustafa A. Kishk , Mohamed-Slim Alouini

We analyze a model of relay-augmented cellular wireless networks. The network users, who move according to a general mobility model based on a Poisson point process of continuous trajectories in a bounded domain, try to communicate with a…

Probability · Mathematics 2016-02-16 Christian Hirsch , Benedikt Jahnel , Paul Keeler , Robert I. A. Patterson

We consider a class of point processes (pp), which we call {\em sub-Poisson}; these are pp that can be directionally-convexly ($dcx$) dominated by some Poisson pp. The $dcx$ order has already been shown useful in comparing various point…

Probability · Mathematics 2012-12-05 Bartlomiej Blaszczyszyn , D. Yogeshwaran

Preceptron model updating with back propagation has become the routine of deep learning. Continuous feed forward procedure is required in order for backward propagate to function properly. Doubting the underlying physical interpretation on…

Signal Processing · Electrical Eng. & Systems 2020-10-19 Shirui Tang

The uplink of a wireless network with base stations distributed according to a Poisson Point Process (PPP) is analyzed. The base stations are assumed to have a large number of antennas and use linear minimum-mean-square-error (MMSE) spatial…

Information Theory · Computer Science 2013-11-20 Siddhartan Govindasamy

The growing complexity of heterogeneous cellular networks (HetNets) has necessitated a variety of user and base station (BS) configurations to be considered for realistic performance evaluation and system design. This is directly reflected…

Information Theory · Computer Science 2017-05-05 Chiranjib Saha , Mehrnaz Afshang , Harpreet S. Dhillon

Owing to its unparalleled tractability, the Poisson point process (PPP) has emerged as a popular model for the analysis of cellular networks. Considering a stationary point process of users, which is independent of the base station (BS)…

Information Theory · Computer Science 2019-08-29 Praful D. Mankar , Priyabrata Parida , Harpreet S. Dhillon , Martin Haenggi

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

Methodology · Statistics 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

The elliptic Ginibre ensemble of complex non-Hermitian random matrices allows to interpolate between the rotational invariant Ginibre ensemble and the Gaussian unitary ensemble of Hermitian random matrices. It corresponds to a…

Mathematical Physics · Physics 2023-02-09 G. Akemann , M. Duits , L. D. Molag

The determinantal point process (DPP) is an elegant probabilistic model of repulsion with applications in various machine learning tasks including summarization and search. However, the maximum a posteriori (MAP) inference for DPP which…

Information Retrieval · Computer Science 2018-05-29 Laming Chen , Guoxin Zhang , Hanning Zhou

Graphical models have been widely applied in solving distributed inference problems in sensor networks. In this paper, the problem of coordinating a network of sensors to train a unique ensemble estimator under communication constraints is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Haipeng Zheng , Sanjeev R. Kulkarni , H. Vincent Poor

Gaussian Processes (\textbf{GPs}) are flexible non-parametric models with strong probabilistic interpretation. While being a standard choice for performing inference on time series, GPs have few techniques to work in a streaming setting.…

Machine Learning · Statistics 2021-07-22 Théo Galy-Fajou , Manfred Opper

Determinantal Point Process (DPPs) are statistical models for repulsive point patterns. Both sampling and inference are tractable for DPPs, a rare feature among models with negative dependence that explains their popularity in machine…

Machine Learning · Computer Science 2021-11-30 Michaël Fanuel , Rémi Bardenet

We study computational aspects of repulsive Gibbs point processes, which are probabilistic models of interacting particles in a finite-volume region of space. We introduce an approach for reducing a Gibbs point process to the hard-core…

Data Structures and Algorithms · Computer Science 2023-12-15 Tobias Friedrich , Andreas Göbel , Maximilian Katzmann , Martin Krejca , Marcus Pappik

Gaussian process ($GP$) regression is a widely used non-parametric modeling tool, but its cubic complexity in the training size limits its use on massive data sets. A practical remedy is to predict using only the nearest neighbours of each…

Machine Learning · Statistics 2026-04-09 Robert Allison , Tomasz Maciazek , Anthony Stephenson

This paper presents a tractable model for analyzing non-coherent joint transmission base station (BS) cooperation, taking into account the irregular BS deployment typically encountered in practice. Besides cellular-network specific aspects…

Information Theory · Computer Science 2014-09-22 Ralph Tanbourgi , Sarabjot Singh , Jeffrey G. Andrews , Friedrich K. Jondral

The paper establishes the capacity region of the Gaussian interference channel with many transmitter-receiver pairs constrained to use point-to-point codes. The capacity region is shown to be strictly larger in general than the achievable…

Information Theory · Computer Science 2011-02-15 Francois Baccelli , Abbas El Gamal , David Tse