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Large-scale datasets with count outcome variables are widely present in various applications, and the Poisson regression model is among the most popular models for handling count outcomes. This paper considers the high-dimensional sparse…

Methodology · Statistics 2024-10-29 Prabrisha Rakshit , Zijian Guo

Information delivery using chemical molecules is an integral part of biology at multiple distance scales and has attracted recent interest in bioengineering and communication theory. Potential applications include cooperative networks with…

Information Theory · Computer Science 2017-09-05 Yansha Deng , Adam Noel , Weisi Guo , Arumugam Nallanathan , Maged Elkashlan

The SINR (signal to interference plus noise ratio) is a key factor for wireless networks analysis. Indeed, the SINR distribution allows the derivation of performance and quality of service (QoS) evaluation. Moreover, it also enables the…

Networking and Internet Architecture · Computer Science 2014-11-20 Jean-Marc Kelif , Stephane Senecal , Marceau Coupechoux , Constant Bridon

We study two-receiver Poisson channels using tools derived from stochastic calculus. We obtain a general formula for the mutual information over the Poisson channel that allows for conditioning and the use of auxiliary random variables. We…

Information Theory · Computer Science 2019-11-12 Nirmal V. Shende , Aaron B. Wagner

This paper presents several analytic closed-form approximations of the aggregated interference statistics within the framework of uplink massive machine-type communications (mMTC), taking into account the random activity of the sensors.…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Sergi Liesegang , Antonio Pascual-Iserte , Olga Muñoz

Contribution of this paper lies in the formulation and estimation of a generalized model for stochastic frontier analysis (SFA) that nests virtually all forms used and includes some that have not been considered so far. The model is based…

Econometrics · Economics 2020-10-13 Kamil Makieła , Błażej Mazur

We study parallel symmetric 2-user interference channels when the interference is bursty and feedback is available from the respective receivers. Presence of interference in each subcarrier is modeled as a memoryless Bernoulli random state.…

Information Theory · Computer Science 2014-04-25 Shaunak Mishra , I-Hsiang Wang , Suhas Diggavi

Spectral line-shapes provide a window into the local environment coupled to a quantum transition in the condensed phase. In this paper, we build upon a stochastic model to account for non-stationary background processes produced by…

Mesoscale and Nanoscale Physics · Physics 2022-11-03 Hao Li , S. A. Shah , Eric R. Bittner , Andrei Piryatinski , Carlos Silva

We obtain quenched hitting distributions to be compound Poissonian for a certain class of random dynamical systems. The theory is general and designed to accommodate non-uniformly expanding behavior and targets that do not overlap much with…

Dynamical Systems · Mathematics 2024-02-06 Lucas Amorim , Nicolai Haydn , Sandro Vaienti

Based on a stationary Poisson point process, a wireless network model with random propagation effects (shadowing and/or fading) is considered in order to examine the process formed by the signal-to-interference-plus-noise ratio (SINR)…

Networking and Internet Architecture · Computer Science 2015-03-12 Bartlomiej Blaszczyszyn , Holger Paul Keeler

In this work, we propose a nonlinear stochastic model of a network of stochastic spiking neurons. We heuristically derive the mean-field limit of this system. We then design a Monte Carlo method for the simulation of the microscopic system,…

Numerical Analysis · Mathematics 2019-06-26 Benjamin Aymard , Fabien Campillo , Romain Veltz

Multi-cell cooperation is a promising approach for mitigating inter-cell interference in dense cellular networks. Quantifying the performance of multi-cell cooperation is challenging as it integrates physical-layer techniques and network…

Information Theory · Computer Science 2011-03-23 Kaibin Huang , Jeffrey G. Andrews

Patterns in complex systems store hidden information of the system which is needed to be explored. We present a simple model of cytokine and T-cells interaction and studied the model within stochastic framework by constructing Master…

Populations and Evolution · Quantitative Biology 2022-09-23 Moirangthem Shubhakanta Singh , Mairembam Kelvin Singh , R. K. Brojen Singh

We discuss a non-equilibrium statistical system on a graph or network. Identical particles are injected, interact with each other, traverse, and leave the graph in a stochastic manner described in terms of Poisson rates, possibly dependent…

Statistical Mechanics · Physics 2015-05-19 V. Y. Chernyak , M. Chertkov , N. A. Sinitsyn

Multilayer (or deep) networks are powerful probabilistic models based on multiple stages of a linear transform followed by a non-linear (possibly random) function. In general, the linear transforms are defined by matrices and the non-linear…

Information Theory · Computer Science 2017-10-13 Galen Reeves

Within the framework of probability models for overdispersed count data, we propose the generalized fractional Poisson distribution (gfPd), which is a natural generalization of the fractional Poisson distribution (fPd), and the standard…

Probability · Mathematics 2021-01-12 Dexter Cahoy , Elvira Di Nardo , Federico Polito

A deep understanding of the queuing performance of wireless networks is essential for the advancement of future wireless communications. The stochastic nature of wireless channels in general gives rise to a time varying transmission rate.…

Networking and Internet Architecture · Computer Science 2016-04-05 Sebastian Schiessl , Farshad Naghibi , Hussein Al-Zubaidy , Markus Fidler , James Gross

We characterize the generalized degrees of freedom of the $K$ user symmetric Gaussian interference channel where all desired links have the same signal-to-noise ratio (SNR) and all undesired links carrying interference have the same…

Information Theory · Computer Science 2012-04-03 Syed A. Jafar , Sriram Vishwanath

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

Disordered complex networks are of fundamental interest as stochastic models for information transmission over wireless networks. Well-known networks based on the Poisson point process model have limitations vis-a-vis network efficiency,…

Signal Processing · Electrical Eng. & Systems 2022-03-14 Subhro Ghosh , Naoto Miyoshi , Tomoyuki Shirai
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