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Poisson Receivers: a Probabilistic Framework for Analyzing Coded Random Access [article]

Che-Hao Yu, Lin Huang, Cheng-Shang Chang, Duan-Shin Lee
2020 arXiv   pre-print
In this paper, we develop a probabilistic framework for analyzing coded random access.  ...  These two closure properties enable us to use smaller Poisson receivers as building blocks for analyzing a larger Poisson receiver.  ...  We then extend our probabilistic framework to Poisson receivers with multiple classes of input traffic.  ... 
arXiv:2008.07561v1 fatcat:tsqrsnr5qfazrku23bexvkkaxi

On the Stability Regions of Coded Poisson Receivers with Multiple Classes of Users and Receivers [article]

Chia-Ming Chang, Yi-Jheng Lin, Cheng-Shang Chang, Duan-Shin Lee
2021 arXiv   pre-print
Motivated by the need to provide differentiated quality-of-service (QoS) in grant-free uplink transmissions in 5G networks and beyond, we extend the probabilistic analysis of coded Poisson receivers (CPR  ...  For such a CPR system, we prove (under certain technical conditions) that there is a region, called the stability region in this paper.  ...  The coded random access scheme with SIC can then further remove the other copies of the successfully received packets from the rest of receivers.  ... 
arXiv:2107.10696v1 fatcat:vodlxiuncbebhpodnh4di3wwyy

Poisson balanced spiking networks

Camille E. Rullán Buxó, Jonathan W. Pillow, Daniele Marinazzo
2020 PLoS Computational Biology  
Both Poisson frameworks preserve the coding accuracy and robustness to neuron loss of the original model and, moreover, produce positive correlations between similarly tuned neurons, a feature of real  ...  Balanced spiking networks (BSNs) provide a powerful framework for implementing arbitrary linear dynamical systems in networks of integrate-and-fire neurons.  ...  Population framework We now describe a second framework for implementing BSNs with conditionally Poisson neurons.  ... 
doi:10.1371/journal.pcbi.1008261 pmid:33216741 fatcat:flqochdywvdy5nfgv56w72yrue

Dynamic Poisson Factorization

Laurent Charlin, Rajesh Ranganath, James McInerney, David M. Blei
2015 Proceedings of the 9th ACM Conference on Recommender Systems - RecSys '15  
To address this, we propose dPF, a dynamic matrix factorization model based on the recent Poisson factorization model for recommendations. dPF models the time evolving latent factors with a Kalman filter  ...  and the actions with Poisson distributions.  ...  We thank the reviewers for their helpful comments. RR is supported by an NDSEG fellowship. DMB is supported by NSF IIS-0745520, NSF IIS-1247664, ONR N00014-11-1-0651, and DARPA FA8750-14-2-0009.  ... 
doi:10.1145/2792838.2800174 dblp:conf/recsys/CharlinRMB15 fatcat:2is667t2srhnrlausmilvq5hru

ALOHA Receivers: a Network Calculus Approach for Analyzing Coded Multiple Access with SIC [article]

Tzu-Hsuan Liu, Che-Hao Yu, Yi-Jheng Lin, Cheng-Shang Chang, Duan-Shin Lee
2020 arXiv   pre-print
In this paper, we further propose a deterministic framework of ALOHA receivers that can be incorporated into the probabilistic framework of Poisson receivers for analyzing coded multiple access with successive  ...  as a probabilistic framework for providing differentiated services in uplink transmissions in 5G networks.  ...  Intuitively, Poisson receivers can be viewed as a probabilistic framework for analyzing coded random access.  ... 
arXiv:2009.03145v1 fatcat:63gbzxgfjjdbxobl5fsnns5ajy

Interference in Poisson Networks with Isotropically Distributed Nodes [article]

Ralph Tanbourgi, Holger Jäkel, Friedrich K. Jondral
2014 arXiv   pre-print
The resulting link performance is precisely characterized as a function of (i) an arbitrary receiver location and of (ii) an arbitrary isotropic shape of the spatial distribution.  ...  Closed-form expressions for the first moment and the Laplace transform of the interference are derived for the path loss exponents α=2 and α=4, and simple bounds are derived for other cases.  ...  Specifically, Poisson-Cluster [15] and Matérn hard-core models [16] were studied, as they are well-suited for analyzing more sophisticated medium access control (MAC) schemes.  ... 
arXiv:1211.4755v2 fatcat:m6y7w7jvifbklk5z42alyw2qiy

Performance of Optimum Combining in a Poisson Field of Interferers and Rayleigh Fading Channels

Olfa Ben Sik Ali, Christian Cardinal, Francois Gagnon
2010 IEEE Transactions on Wireless Communications  
This paper studies the performance of antenna array processing in distributed multiple access networks without power control. The interference is represented as a Poisson point process.  ...  Using these assumptions, we derive the exact closed form expression for the cumulative distribution function of the output signal-to-interference-plus-noise ratio when optimum combining is applied.  ...  In the particular case of a random access strategy, a simple way to model the network is to consider interfering nodes distributed according to a homogeneous Poisson point process (PPP) [?] , [?] .  ... 
doi:10.1109/twc.2010.061810.090109 fatcat:siqso2lhf5go3bkdwjsqtvpwpm

Linear-Nonlinear-Poisson Models of Primate Choice Dynamics

Greg S Corrado, Leo P Sugrue, H Sebastian Seung, William T Newsome
2005 Journal of The Experimental Analysis of Behavior  
Using a generalization of Wiener kernel analysis, we recover a compact mechanistic description of the impact of past reward on future choice in the form of a Linear-Nonlinear-Poisson model.  ...  In our experiments, 2 rhesus monkeys (Macacca mulatta) foraged for juice rewards by making eye movements to one of two colored icons presented on a computer monitor, each rewarded on dynamic variable-interval  ...  The inputs are binary reward histories for each color (left) that code whether or not a reward was received from that color on each trial in the past.  ... 
doi:10.1901/jeab.2005.23-05 pmid:16596981 pmcid:PMC1389782 fatcat:x2nckx6lsna2zp4dj2d7jkqciy

A Power Allocation Strategy for Multiple Poisson Spectrum-Sharing Networks

Ran Cai, Jian-Kang Zhang, Timothy N. Davidson, Wei Zhang, Kon Max Wong, P. C. Ching
2015 IEEE Transactions on Wireless Communications  
This paper develops a power allocation strategy for multiple networks of Poisson-distributed single-antenna nodes that share the available spectrum in a spectrum underlay scenario.  ...  Furthermore, we obtain a quasi-closed-form solution that has a water-filling interpretation by analyzing the optimality conditions.  ...  First, we analyze a special case in which the equality of (17b) holds for every r m .  ... 
doi:10.1109/twc.2014.2372772 fatcat:duiz57swu5be5mkebvzamzftne

A data-dependent weighted LASSO under Poisson noise [article]

Xin Jiang, Patricia Reynaud-Bouret, Vincent Rivoirard, Laure Sansonnet, Rebecca Willett
2018 arXiv   pre-print
using off-the-shelf LASSO algorithms, and (c) hints at a general framework for broad classes of noise in sparse linear inverse problems.  ...  At the heart of this new approach lies a weighted LASSO estimator for which data-dependent weights are based on Poisson concentration inequalities.  ...  For example, the analysis framework considered in [12, 13, 14] builds upon a coding-theoretic bound which is difficult to adapt to many of the computationally tractable sparsity regularizers used in  ... 
arXiv:1509.08892v2 fatcat:7r5cncyb3nc2rk7zecvqhkhq7e

The Poisson-Lognormal Model as a Versatile Framework for the Joint Analysis of Species Abundances

Julien Chiquet, Mahendra Mariadassou, Stéphane Robin
2021 Frontiers in Ecology and Evolution  
The multivariate Poisson-lognormal (PLN) model is one such model, which can be viewed as a multivariate mixed Poisson regression model.  ...  This paper presents the general PLN framework and illustrates its use on a series a typical experimental datasets.  ...  ACKNOWLEDGMENTS The authors thank Colin Fontaine for helpful comments and advices on early versions of the manuscript.  ... 
doi:10.3389/fevo.2021.588292 fatcat:h32gwj6jljhltklzzhahrzpfze

Design of OFDM Receivers Operating in Severe Interference Conditions [article]

Oana-Elena Barbu, Regionernes Videncenter For Miljø Og Ressourcer
2016 Ph.d.-serien for Det Teknisk-Naturvidenskabelige Fakultet, Aalborg Universitet  
Acknowledgement This work was supported by Intel Mobile Communications (IMC), the Danish Association for Science, Technology and Innovation, and the VIRTUOSO cooperative research project, funded by IMC  ...  Message passing receiver design for insufficient CP conditions MF-BP message-passing technique: preliminaries Consider a probabilistic model consisting of a set Z of random variables and characterized  ...  Our results show that a receiver which knows the modulation and code of the interferer has excellent interference cancellation capabilities, and hence granting access to this information can be a useful  ... 
doi:10.5278/ fatcat:klroumvyuzhozfneyznkqx5brm

Parameter estimation of Poisson mixture with automated model selection through BYY harmony learning

Jinwen Ma, Jianfeng Liu, Zhijie Ren
2009 Pattern Recognition  
In this paper, based on the same BYY harmony learning framework for finite mixture, we propose an adaptive gradient BYY learning algorithm for Poisson mixture with automated model selection.  ...  It is demonstrated well by the simulation experiments that this adaptive gradient BYY learning algorithm can automatically determine the number of actual Poisson components for a sample data set, with  ...  For defining a multivariate Poisson distribution, we introduce a random vector Y = [Y 1 , Y 2 , ... , Y m ] T , where each Y i is an independent Poisson random variable with parameter i .  ... 
doi:10.1016/j.patcog.2009.03.029 fatcat:xitaektxqncarbkuljltq3o6xy

Probing Real Sensory Worlds of Receivers with Unsupervised Clustering

Michael Pfeiffer, Manfred Hartbauer, Alexander B. Lang, Wolfgang Maass, Heinrich Römer, Daniel Durstewitz
2012 PLoS ONE  
Our study shows that burst coding can provide a reliable mechanism for acoustic insects to classify and discriminate signals under very noisy real-world conditions.  ...  We apply a recently developed unsupervised machine learning algorithm based on probabilistic inference to find frequently occurring firing patterns in the response of the acoustic interneuron.  ...  Acknowledgments We are grateful to the Smithsonian Tropical Research Institute (STRI) and the National Authority for the Environment (ANAM) for research permits and logistical support, which ensured that  ... 
doi:10.1371/journal.pone.0037354 pmid:22701566 pmcid:PMC3368931 fatcat:d6a4n5xzxzemdbue7epjviiz2q

Simulated Data to Estimate Real Sensor Events—A Poisson-Regression-Based Modelling

Miguel Angel Ortíz-Barrios, Ian Cleland, Chris Nugent, Pablo Pancardo, Eric Järpe, Jonathan Synnott
2020 Remote Sensing  
Hence, this paper proposes the use of Poisson regression modelling for transforming simulated data in a better approximation of real SEPA.  ...  Then, several Poisson regression models were formulated for estimating real SEPA using simulated data.  ...  Funding: This research has received funding under the REMIND project Marie Sklodowska-Curie EU Framework for Research and Innovation Horizon 2020, under Grant Agreement No. 734355.  ... 
doi:10.3390/rs12050771 fatcat:faxzns3phndatjqp25mqng2ede
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