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Ising example
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library("qgraph") | |
library("igraph") | |
library("Rcpp") | |
library("shiny") | |
download.file("http://sachaem47.fortyseven.versio.nl/files/IsingCppBinary.cpp", file <- tempfile(fileext=".cpp")) | |
sourceCpp(file) |
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shinyServer(function(input, output) { | |
# Network parameters: | |
J <- reactive({ | |
network <- matrix(input$net,input$nNodes,input$nNodes) | |
diag(network) <- 0 | |
return(network) | |
}) | |
h <- reactive({ | |
return(rep(input$thresh, input$nNodes)) | |
}) | |
AllStates <- reactive({ | |
return(do.call(expand.grid,lapply(1:input$nNodes,function(x)c(0L,1L)))) | |
}) | |
output$adjplot <- renderPlot({ | |
qgraph(J(),weighted=FALSE) | |
}) | |
### State distribution: | |
output$statedist <- renderTable({ | |
Dist <- exp(-input$beta * apply(AllStates(),1,function(s)H(J(),s,h()))) | |
Dist <- Dist/sum(Dist) | |
### Return: | |
return(cbind(AllStates(), P = Dist)) | |
}) | |
### State distribution: | |
output$endist <- renderPlot({ | |
En <- apply(AllStates(),1,function(s)H(J(),s,h())) | |
layout(1:2) | |
curve(exp(-input$beta * x), min(En), max(En), yaxt = "n", xlab = "Energy", ylab = "Probability", bty = "n") | |
hist(En, breaks = 16, xlim=c( min(En), max(En)), xlab = "Energy", ylab = "Number of states", main = "") | |
}) | |
# Sumscore distribution: | |
output$sumdist <- renderPlot({ | |
Dist <- IsingDirLik(Graph = J(), Thresholds = h(), Beta = input$beta) | |
barplot(Dist$P, names.arg = Dist$Sum) | |
},width='auto',height='auto') | |
# Plotting window: | |
output$window <- renderUI({ | |
if (input$show == 'Sumscore distribution') | |
{ | |
plotOutput('sumdist', width = 1000, height = 500) | |
} else if (input$show == 'State distribution') | |
{ | |
tableOutput('statedist') | |
} else | |
{ | |
plotOutput('endist', width = 1000, height = 1000) | |
} | |
}) | |
}) |
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shinyUI(pageWithSidebar( | |
# Header: | |
headerPanel("Ising example (fully connected network)"), | |
# Input in sidepanel: | |
sidebarPanel( | |
sliderInput("nNodes", "Number of Nodes:", | |
min=1, max=10, value=2, step = 1), | |
sliderInput("net", "Network Strength:", | |
min=0, max=10, value=1, step = 0.1), | |
sliderInput("thresh", "External Field:", | |
min=-10, max=0, value=-1, step = 0.1), | |
sliderInput("beta", "Inverse Temperature:", | |
min=0.1, max=5, value=1, step = 0.1), | |
br(), | |
plotOutput("adjplot",'100%') | |
), | |
# Plot in main: | |
mainPanel( | |
# Show a plot of the generated distribution | |
radioButtons("show", "Show:", | |
c('Sumscore distribution','State distribution','Energy distribution')), | |
htmlOutput("window") | |
) | |
)) |
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