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@sanglee
Created April 20, 2016 10:00
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{
"cells": [
{
"cell_type": "code",
"execution_count": 196,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO: Updating METADATA...\n",
"INFO: Updating Plotly...\n",
"INFO: Updating UCIMLRepo...\n",
"INFO: Computing changes...\n",
"INFO: No packages to install, update or remove\n",
"INFO: Nothing to be done\n",
"INFO: Nothing to be done\n",
"INFO: Nothing to be done\n"
]
}
],
"source": [
"Pkg.update()\n",
"Pkg.add(\"Optim\")\n",
"Pkg.add(\"JuMP\")\n",
"Pkg.add(\"Cbc\") # for LP and MILP (mixed-integer linear program)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### JuliaOpt \n",
"http://www.juliaopt.org\n",
"\n",
"https://www.youtube.com/watch?v=7LNeR299q88"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### UCI ML Repository\n",
"http://archive.ics.uci.edu/ml/"
]
},
{
"cell_type": "code",
"execution_count": 197,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO: Nothing to be done\n"
]
}
],
"source": [
"Pkg.add(\"RDatasets\")"
]
},
{
"cell_type": "code",
"execution_count": 198,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<table class=\"data-frame\"><tr><th></th><th>SepalLength</th><th>SepalWidth</th><th>PetalLength</th><th>PetalWidth</th><th>Species</th></tr><tr><th>1</th><td>5.1</td><td>3.5</td><td>1.4</td><td>0.2</td><td>setosa</td></tr><tr><th>2</th><td>4.9</td><td>3.0</td><td>1.4</td><td>0.2</td><td>setosa</td></tr><tr><th>3</th><td>4.7</td><td>3.2</td><td>1.3</td><td>0.2</td><td>setosa</td></tr><tr><th>4</th><td>4.6</td><td>3.1</td><td>1.5</td><td>0.2</td><td>setosa</td></tr><tr><th>5</th><td>5.0</td><td>3.6</td><td>1.4</td><td>0.2</td><td>setosa</td></tr><tr><th>6</th><td>5.4</td><td>3.9</td><td>1.7</td><td>0.4</td><td>setosa</td></tr><tr><th>7</th><td>4.6</td><td>3.4</td><td>1.4</td><td>0.3</td><td>setosa</td></tr><tr><th>8</th><td>5.0</td><td>3.4</td><td>1.5</td><td>0.2</td><td>setosa</td></tr><tr><th>9</th><td>4.4</td><td>2.9</td><td>1.4</td><td>0.2</td><td>setosa</td></tr><tr><th>10</th><td>4.9</td><td>3.1</td><td>1.5</td><td>0.1</td><td>setosa</td></tr><tr><th>11</th><td>5.4</td><td>3.7</td><td>1.5</td><td>0.2</td><td>setosa</td></tr><tr><th>12</th><td>4.8</td><td>3.4</td><td>1.6</td><td>0.2</td><td>setosa</td></tr><tr><th>13</th><td>4.8</td><td>3.0</td><td>1.4</td><td>0.1</td><td>setosa</td></tr><tr><th>14</th><td>4.3</td><td>3.0</td><td>1.1</td><td>0.1</td><td>setosa</td></tr><tr><th>15</th><td>5.8</td><td>4.0</td><td>1.2</td><td>0.2</td><td>setosa</td></tr><tr><th>16</th><td>5.7</td><td>4.4</td><td>1.5</td><td>0.4</td><td>setosa</td></tr><tr><th>17</th><td>5.4</td><td>3.9</td><td>1.3</td><td>0.4</td><td>setosa</td></tr><tr><th>18</th><td>5.1</td><td>3.5</td><td>1.4</td><td>0.3</td><td>setosa</td></tr><tr><th>19</th><td>5.7</td><td>3.8</td><td>1.7</td><td>0.3</td><td>setosa</td></tr><tr><th>20</th><td>5.1</td><td>3.8</td><td>1.5</td><td>0.3</td><td>setosa</td></tr><tr><th>21</th><td>5.4</td><td>3.4</td><td>1.7</td><td>0.2</td><td>setosa</td></tr><tr><th>22</th><td>5.1</td><td>3.7</td><td>1.5</td><td>0.4</td><td>setosa</td></tr><tr><th>23</th><td>4.6</td><td>3.6</td><td>1.0</td><td>0.2</td><td>setosa</td></tr><tr><th>24</th><td>5.1</td><td>3.3</td><td>1.7</td><td>0.5</td><td>setosa</td></tr><tr><th>25</th><td>4.8</td><td>3.4</td><td>1.9</td><td>0.2</td><td>setosa</td></tr><tr><th>26</th><td>5.0</td><td>3.0</td><td>1.6</td><td>0.2</td><td>setosa</td></tr><tr><th>27</th><td>5.0</td><td>3.4</td><td>1.6</td><td>0.4</td><td>setosa</td></tr><tr><th>28</th><td>5.2</td><td>3.5</td><td>1.5</td><td>0.2</td><td>setosa</td></tr><tr><th>29</th><td>5.2</td><td>3.4</td><td>1.4</td><td>0.2</td><td>setosa</td></tr><tr><th>30</th><td>4.7</td><td>3.2</td><td>1.6</td><td>0.2</td><td>setosa</td></tr><tr><th>&vellip;</th><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td><td>&vellip;</td></tr></table>"
],
"text/plain": [
"150x5 DataFrames.DataFrame\n",
"│ Row │ SepalLength │ SepalWidth │ PetalLength │ PetalWidth │ Species │\n",
"┝━━━━━┿━━━━━━━━━━━━━┿━━━━━━━━━━━━┿━━━━━━━━━━━━━┿━━━━━━━━━━━━┿━━━━━━━━━━━━━┥\n",
"│ 1 │ 5.1 │ 3.5 │ 1.4 │ 0.2 │ \"setosa\" │\n",
"│ 2 │ 4.9 │ 3.0 │ 1.4 │ 0.2 │ \"setosa\" │\n",
"│ 3 │ 4.7 │ 3.2 │ 1.3 │ 0.2 │ \"setosa\" │\n",
"│ 4 │ 4.6 │ 3.1 │ 1.5 │ 0.2 │ \"setosa\" │\n",
"│ 5 │ 5.0 │ 3.6 │ 1.4 │ 0.2 │ \"setosa\" │\n",
"│ 6 │ 5.4 │ 3.9 │ 1.7 │ 0.4 │ \"setosa\" │\n",
"│ 7 │ 4.6 │ 3.4 │ 1.4 │ 0.3 │ \"setosa\" │\n",
"│ 8 │ 5.0 │ 3.4 │ 1.5 │ 0.2 │ \"setosa\" │\n",
"│ 9 │ 4.4 │ 2.9 │ 1.4 │ 0.2 │ \"setosa\" │\n",
"│ 10 │ 4.9 │ 3.1 │ 1.5 │ 0.1 │ \"setosa\" │\n",
"│ 11 │ 5.4 │ 3.7 │ 1.5 │ 0.2 │ \"setosa\" │\n",
"⋮\n",
"│ 139 │ 6.0 │ 3.0 │ 4.8 │ 1.8 │ \"virginica\" │\n",
"│ 140 │ 6.9 │ 3.1 │ 5.4 │ 2.1 │ \"virginica\" │\n",
"│ 141 │ 6.7 │ 3.1 │ 5.6 │ 2.4 │ \"virginica\" │\n",
"│ 142 │ 6.9 │ 3.1 │ 5.1 │ 2.3 │ \"virginica\" │\n",
"│ 143 │ 5.8 │ 2.7 │ 5.1 │ 1.9 │ \"virginica\" │\n",
"│ 144 │ 6.8 │ 3.2 │ 5.9 │ 2.3 │ \"virginica\" │\n",
"│ 145 │ 6.7 │ 3.3 │ 5.7 │ 2.5 │ \"virginica\" │\n",
"│ 146 │ 6.7 │ 3.0 │ 5.2 │ 2.3 │ \"virginica\" │\n",
"│ 147 │ 6.3 │ 2.5 │ 5.0 │ 1.9 │ \"virginica\" │\n",
"│ 148 │ 6.5 │ 3.0 │ 5.2 │ 2.0 │ \"virginica\" │\n",
"│ 149 │ 6.2 │ 3.4 │ 5.4 │ 2.3 │ \"virginica\" │\n",
"│ 150 │ 5.9 │ 3.0 │ 5.1 │ 1.8 │ \"virginica\" │"
]
},
"execution_count": 198,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using RDatasets\n",
"iris = dataset(\"datasets\", \"iris\")"
]
},
{
"cell_type": "code",
"execution_count": 199,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(150,5)"
]
},
"execution_count": 199,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"size(iris)"
]
},
{
"cell_type": "code",
"execution_count": 200,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"150-element Array{ASCIIString,1}:\n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" \"red\" \n",
" ⋮ \n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\"\n",
" \"yellow\""
]
},
"execution_count": 200,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"class = iris[:Species]\n",
"species = unique(class)\n",
"#show(species)\n",
"color = [\"red\" for i=1:size(iris,1)]\n",
"color[class.==species[2]] = \"blue\"\n",
"color[class.==species[3]] = \"yellow\"\n",
"color"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"![image](https://upload.wikimedia.org/wikipedia/commons/thumb/7/78/Petal-sepal.jpg/226px-Petal-sepal.jpg)"
]
},
{
"cell_type": "code",
"execution_count": 201,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x3077c1d10>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"PyObject <matplotlib.legend.Legend object at 0x31d398b50>"
]
},
"execution_count": 201,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using PyPlot\n",
"\n",
"fig = figure(\"iris_scatterplot\",figsize=(15,5))\n",
"ax = subplot(121)\n",
"for i=1:length(species)\n",
" idx = class.==species[i];\n",
" scatter(iris[idx,:SepalLength], iris[idx,:SepalWidth],color=color[idx],s=30,alpha=0.5,label=species[i])\n",
"end\n",
"title(\"IRIS Data\")\n",
"xlabel(\"SepalLength\")\n",
"ylabel(\"SepalWidth\")\n",
"grid(\"on\")\n",
"legend(loc=4, fontsize=\"small\")\n",
"\n",
"ax = subplot(122)\n",
"for i=1:length(species)\n",
" idx = class.==species[i];\n",
" scatter(iris[idx,:PetalLength], iris[idx,:PetalWidth],color=color[idx],s=30,alpha=0.5,label=species[i])\n",
"end\n",
"title(\"IRIS Data\")\n",
"xlabel(\"PetalLength\")\n",
"ylabel(\"PetalWidth\")\n",
"grid(\"on\")\n",
"legend(loc=4, fontsize=\"small\")\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Support Vector Machine (with $\\ell_1$ regularization)\n",
"\n",
"$$\n",
"\\begin{aligned}\n",
" \\min_{w \\in R^p, b \\in R, \\xi \\in R^m} &\\;\\; \\|w\\|_1 + C\\sum_{i=1}^m \\xi_i \\\\\n",
" s.t. &\\;\\; \\xi_i \\ge 1 - y_i (\\langle w, x_i \\rangle + b)\\\\\n",
" &\\;\\; \\xi_i \\ge 0\n",
"\\end{aligned}\n",
"$$\n",
"\n",
"$$\n",
"\\|w\\|_1 = \\sum_{i=1}^p |w_i|\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 207,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Making binary classification problem: 'virginica (+1)' vs. the rest (-1)"
]
}
],
"source": [
"x = Array(iris[:,1:(end-1)])\n",
"m, p = size(x)\n",
"y = -ones(m)\n",
"@printf \"Making binary classification problem: '%s (+1)' vs. the rest (-1)\" species[3]\n",
"y[class.==species[3]] = 1 \n",
"\n",
"C = 10/m;"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Support Vector Machine (LP version)\n",
"\n",
"$$\n",
"\\begin{aligned}\n",
" \\min_{w \\in R^p, b \\in R, \\xi \\in R^m, \\zeta \\in R^p} &\\;\\; \\sum_{i=1}^p \\zeta_i + C\\sum_{i=1}^m \\xi_i \\\\\n",
" s.t. &\\;\\; \\xi_i \\ge 1 - y_i (\\langle w, x_i \\rangle + b)\\\\\n",
" &\\;\\; \\xi_i \\ge 0\\\\\n",
" &\\;\\; \\zeta_i \\ge w_i\\\\\n",
" &\\;\\; \\zeta_i \\ge -w_i\n",
"\\end{aligned}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 208,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"using JuMP\n",
"using Cbc # NLP solver inc. QP, QCQP\n",
"\n",
"svm = Model(solver=CbcSolver())\n",
"\n",
"@defVar(svm, w[i=1:p])\n",
"@defVar(svm, b)\n",
"@defVar(svm, ξ[i=1:m] >= 0)\n",
"@defVar(svm, ζ[i=1:p])\n",
"\n",
"@setObjective(svm, Min, sum{ ζ[i], i=1:p } + C*sum{ ξ[i], i=1:m})\n",
"\n",
"for i=1:m\n",
" @addConstraint(svm, ξ[i] >= 1 - y[i]*( sum{w[j]*x[i,j], j=1:p} + b))\n",
"end\n",
"\n",
"for i=1:p\n",
" @addConstraint(svm, ζ[i] >= w[i])\n",
" @addConstraint(svm, ζ[i] >= -w[i])\n",
"end\n",
"\n",
"status = solve(svm)\n",
"\n",
"w = getValue(w)\n",
"b = getValue(b);\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 209,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Prediction accuracy on the training set = 0.95 %"
]
}
],
"source": [
"pred = [Float64((x[i,:]*w + b)[1]) for i=1:m]\n",
"correct = y.*pred\n",
"@printf \"Prediction accuracy on the training set = %.2f %%\" sum(correct .> 0) / m"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Call for Student Presentation\n",
"\n",
" * Julia Plotting: https://gist.github.com/gizmaa/7214002\n",
" * 2D: PyPlot, Gadfly (or MMAPlot)\n",
" * 3D: contour and surface (region) plots\n",
" * Interactive: 2-D graphs with slider bars, etc.\n",
" * Automatic differentiation and DualNumbers: http://www.juliaopt.org/notebooks/DualNumbers.html"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 0.4.5",
"language": "julia",
"name": "julia-0.4"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "0.4.5"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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