File:Mutual Information Examples.svg
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[edit]DescriptionMutual Information Examples.svg |
English: Recreation of File:Correlation_examples2.svg using mutual information |
Date | |
Source | Own work |
Author | Naught101 |
#Title: An example of the mutual information of x and y for various distributions of (x,y) pairs #Tags: Mathematics; Statistics; Information theory #Author: Denis Boigelot #Packets needed : mvtnorm (rmvnorm), RSVGTipsDevice (devSVGTips), entropy, gplots #How to use: output() # #This is an translated version in R of an Matematica 6 code by Imagecreator. library(mvtnorm) library(entropy) library(gplots) library(RSVGTipsDevice) MyPlot <- function(xy, xlim = c(-4, 4), ylim = c(-4, 4), eps = 1e-15) { counts = hist2d(xy[,1], xy[,2], show=FALSE, bins=500)'counts' title = round(mi.plugin(counts), 1) plot(xy, main = title, xlab = "", ylab = "", col = "darkblue", pch = 16, cex = 0.2, xaxt = "n", yaxt = "n", bty = "n", xlim = xlim, ylim = ylim) } MvNormal <- function(n = 1000, cor = 0.8) { for (i in cor) { sd = matrix(c(1, i, i, 1), ncol = 2) x = rmvnorm(n, c(0, 0), sd) MyPlot(x) } } rotation <- function(t, X) return(X %*% matrix(c(cos(t), sin(t), -sin(t), cos(t)), ncol = 2)) RotNormal <- function(n = 1000, t = pi/2) { sd = matrix(c(1, 1, 1, 1), ncol = 2) x = rmvnorm(n, c(0, 0), sd) for (i in t) MyPlot(rotation(i, x)) } Others <- function(n = 1000, spread = 1) { # x = seq(-1, 1, length.out = n) #generates a time series (serial dependence) x = runif(n, -1, 1) #same image, not a time series (no serial dependence) y = 4 * (x^2 - 1/2)^2 + runif(n, -1, 1) /3 * spread MyPlot(cbind(x,y), xlim = c(-1, 1), ylim = c(-1/3, 1+1/3)) y = runif(n, -1, 1) xy = rotation(-pi/8, cbind(x,y)) lim = sqrt(2+sqrt(2)) / sqrt(2) MyPlot(cbind(xy[,1], xy[,2]*spread), xlim = c(-lim, lim), ylim = c(-lim, lim)) xy = rotation(-pi/8, xy) MyPlot(cbind(xy[,1], xy[,2]*spread), xlim = c(-sqrt(2), sqrt(2)), ylim = c(-sqrt(2), sqrt(2)))
y = 2*x^2 + runif(n, -1, 1) * spread MyPlot(cbind(x,y), xlim = c(-1, 1), ylim = c(-1, 3)) y = (x^2 + runif(n, 0, 1/2) * spread) * sample(seq(-1, 1, 2), n, replace = TRUE) MyPlot(cbind(x,y), xlim = c(-1.5, 1.5), ylim = c(-1.5, 1.5)) y = cos(x*pi) + rnorm(n, 0, 1/8) * spread x = sin(x*pi) + rnorm(n, 0, 1/8) * spread MyPlot(cbind(x,y), xlim = c(-1.5, 1.5), ylim = c(-1.5, 1.5)) xy1 = rmvnorm(n/4, c( 3, 3), diag(2)*spread) xy2 = rmvnorm(n/4, c(-3, 3), diag(2)*spread) xy3 = rmvnorm(n/4, c(-3, -3), diag(2)*spread) xy4 = rmvnorm(n/4, c( 3, -3), diag(2)*spread) MyPlot(rbind(xy1, xy2, xy3, xy4), xlim = c(-3-4, 3+4), ylim = c(-3-4, 3+4)) } output <- function() { devSVGTips(width = 7, height = 4.4) # remove first and last line for no svg exporting par(mfrow = c(4, 7), oma = c(0,0,0,0), mar=c(2,2,2,0)) MvNormal(800, c(1.0, 0.8, 0.4, 0.0, -0.4, -0.8, -1.0)); RotNormal(200, c(0, pi/12, pi/6, pi/4, pi/2-pi/6, pi/2-pi/12, pi/2)); Others(800) Others(800, 0.3) dev.off() # remove first and last line for no svg exporting }
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 00:07, 27 January 2016 | 506 × 318 (3.62 MB) | Naught101 (talk | contribs) | {{Information |Description ={{en|1=Recreation of File:Correlation_examples2.svg using mutual information}} |Source ={{own}} |Author =Naught101 |Date =2016-01-27 |Permission = |other_versions = }} #T... |
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Short title | R SVG Plot |
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Image title | R SVG Plot with tooltips! (mode=1) |
Width | 505.89 |
Height | 317.99 |