Plots.jl/examples/facets.ipynb
2015-10-09 13:12:40 -04:00

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Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[Plots.jl] Switched to backend: gadfly\n"
]
}
],
"source": [
"using Plots\n",
"gadfly()\n",
"default(leg=false,size=(400,400));\n",
"#debugplots();"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Plot{Plots.GadflyPackage() n=2}"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"l = 6\n",
"plot(EllipseRecipe(1, 3.5, 1, 0.5, 0.3π), xlim=(-l,l),ylim=(-l,l))"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"n = 100\n",
"x = randn(n) * 2 + 1\n",
"y = randn(n) * 1 + x + 4\n",
"scatter(x, y, c=:orange, m=4);"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Plot{Plots.GadflyPackage() n=2}"
]
},
"execution_count": 91,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using OnlineStats\n",
"matx = reshape(x,n,1)\n",
"reg = SGModel(matx, y)\n",
"yhat = predict(reg, matx)\n",
"scatter!(x,yhat,m=3)"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2x2 Array{Float64,2}:\n",
" 0.707107 -0.707107\n",
" 0.707107 0.707107"
]
},
"execution_count": 120,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using OnlineStats, MultivariateStats\n",
"c = CovarianceMatrix([x y])\n",
"p = pca(c)\n",
"w,h = 1.96 * sqrt(principalvars(p))\n",
"projection(p)"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Plot{Plots.GadflyPackage() n=3}"
]
},
"execution_count": 121,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"mx, my, c = mean(x), mean(y), cor(x,y)\n",
"U, S, V = svd([x y-my])\n",
"#w, h = sqrt(S)\n",
"#w, h = 1.96 * std([x y] * V, 1)\n",
"ep = EllipseRecipe(w, h, mx, my, 2π - 0.25π*c)\n",
"plot!(ep)"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1x2 Array{Float64,2}:\n",
" 2.66054 1.29587"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"U,S,V = svd([x y])\n",
"std([x y] * V,1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"y = linspace(0,1,100)\n",
"p = subplot(repmat(y,1,4),n=4)\n",
"subplot!(ylabel=[\"y1\",\"y1\",\"y2\",\"y2\"], xlabel=[\"x1\",\"x2\",\"x1\",\"x2\"])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"function addOrReplace(v::AbstractVector, t::DataType, args...; kw...)\n",
" for (i,vi) in enumerate(v)\n",
" if isa(guide, t)\n",
" gplt.guides[i] = t(args...; kw...)\n",
" end\n",
" end\n",
"end\n",
"\n",
"\n",
"# findGuideAndSet(gplt, t::DataType, s::@compat(AbstractString))\n",
"for (i,(r,c)) in enumerate(p.layout)\n",
" gplt = p.plts[i].o\n",
" if r < Plots.nrows(p.layout)\n",
" push!(gplt.guides, Gadfly.Guide.xticks(label=false))\n",
" Plots.findGuideAndSet(gplt, Gadfly.Guide.xlabel, \"\")\n",
" end\n",
" if c > 1\n",
" #push!(gplt.guides, Gadfly.Guide.yticks(label=false))\n",
" Plots.findGuideAndSet(gplt, Gadfly.Guide.yticks, label=false)\n",
" Plots.findGuideAndSet(gplt, Gadfly.Guide.ylabel, \"\")\n",
" end\n",
"end\n",
"#p1 = p.plts[1].o\n",
"#push!(p1.guides, Gadfly.Guide.xticks(label=false,ticks=nothing))\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# link the subplots together to share axes... useful for facet plots, cross-scatters, etc\n",
"function linkXAxis(subplt::Plots.Subplot{Plots.GadflyPackage, Plots.GridLayout})\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"p = subplot(repmat(y,1,4),layout=[1,1,2])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fl = FlexLayout(5, [2,1,2])\n",
"gl = GridLayout(3,2)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"for (r,c) in gl\n",
" @show r,c\n",
"end\n",
"length(gl)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.4.0-rc4",
"language": "julia",
"name": "julia-0.4"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.4.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}