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Fast and scalable non-parametric Bayesian inference for Poisson point processes

Authors: Gugushvili, Shota; van der Meulen, Frank; Schauer, Moritz; Spreij, Peter;

Fast and scalable non-parametric Bayesian inference for Poisson point processes

Abstract

Code and datasets accompanying the article "Gugushvili, van der Meulen, Schauer, Spreij (2018): Fast and scalable non-parametric Bayesian inference for Poisson point processes" (http://arxiv.org/abs/1804.03616) Correspondence: f.h.vandermeulen@tudelft.nl Instruction: - Put all files into one directory (R, jl and csv files); say the path is 'wd'. - Make a directory named 'out' within this directory. - Set the working directory in Julia to 'wd' and run 'include("ppp.jl"). - Within ppp.jl, the variable 'data_choice' can be set to analyse the datasets from the paper. For example 'data_choice="coal"' will analyse the coal-ming disaster data. Data can also be generated using 'data_choice="generated"'. In that case, in the file 'gen-extract-data.jl', the user has to provide the intensity function lambda, the right-end-point of the sampling interval T, the number of Poisson point process samples n, and an upper bound on lambda over the interval [0,T]. - Csv files containing simulation results are written to the directory ~\out - Run 'makeFigs.R' (adjust with setwd the working directory op top of this script) in R. - For the plot of the posterior mean, changing the value 'y_max' in the R-script may be necessary (it sets the upper bound on the vertical axis). Julia version 0.6.1. Julia dependencies: - Package Distributions (version 0.15.0) - Package Optim (version 0.14.0) R version 3.4.3. R dependencies: - ggplot2 - dyplyr - gridExtra

Keywords

Non-homogeneous Poisson process, Non-parametric Bayesian estimation, Poisson point process

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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