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Last active January 4, 2016 13:49
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Perceptrons, Irises and Voting
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"input": [
"import numpy as np\n",
"from pandas import DataFrame, Series\n",
"from scipy.io.arff import loadarff\n",
"import scipy"
],
"language": "python",
"metadata": {},
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"prompt_number": 1
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{
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"input": [
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],
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},
{
"cell_type": "code",
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"input": [
"df = DataFrame(data)"
],
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},
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"input": [
"df[df.major == 'cs']"
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"language": "python",
"metadata": {},
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"dc = df.copy()"
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"input": [
"dc.major = True"
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"input": [
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"dc.friends /= 2"
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"input": [
"dc.major = df.major == 'cs'"
],
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"dc.age[df.major == 'cs'] = 2"
],
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"df.major.unique()"
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"array(['cs', 'law'], dtype=object)"
]
}
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"m = dc.major.copy().astype(int)"
],
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"dm = df.copy()\n",
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" friends age major\n",
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"nums = df[df.columns[:-1]]"
],
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"metadata": {},
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},
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"cell_type": "code",
"collapsed": false,
"input": [
"nums['man'] = Series(np.zeros(len(nums)), index=nums.index)"
],
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"metadata": {},
"outputs": [],
"prompt_number": 127
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"list(nums.columns)"
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{
"metadata": {},
"output_type": "pyout",
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"text": [
"['friends', 'age', 'man']"
]
}
],
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},
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"cell_type": "code",
"collapsed": false,
"input": [
"data, meta = loadarff('iris.arff')\n",
"df = DataFrame(data)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from itertools import cycle\n",
"from IPython.display import display\n",
"\n",
"def plot_weights(weights, labels):\n",
" styles = cycle(('-', '--', '-.'))\n",
" n = len(weights[0])\n",
" ncolors = 7\n",
" i = -1\n",
" for i in range(0, n/ncolors):\n",
" plot(weights[:,i*ncolors:(i+1)*ncolors], ls=styles.next())\n",
" plot(weights[:,(i+1)*ncolors:], ls=styles.next())\n",
" legend(list(labels) + ['Bias'], loc='upper left', bbox_to_anchor=(1.01,1))\n",
"\n",
"def test(fname):\n",
" m = p.fromArff(fname, .1)\n",
" a = m.trainUp()\n",
" print 'Done Training'\n",
" # Plot the accuracies over epochs\n",
" ps = m.perceptrons.items()\n",
" for i in range(len(a[0][1])):\n",
" figure()\n",
" plot_weights(array([x[1][i] for x in a]), m.data.columns[:-1])\n",
" title(ps[i][0][0] + ' vs ' + ps[i][0][1])\n",
" xlabel('Epoch')\n",
" ylabel('Weight')\n",
"\n",
" if len(a[0][0]) > 1:\n",
" figure()\n",
" plot(array([x[0] for x in a]))\n",
" legend(list(l[0] + ' vs ' + l[1] for l, p in ps), loc='upper left', bbox_to_anchor=(1.01,1))\n",
" ylim(-0.1, 1.1)\n",
" title('Individual Perceptron Accuracy')\n",
" xlabel('Epoch')\n",
" ylabel('% Accuracy')\n",
"\n",
" figure()\n",
" plot(array([array(x[0]).mean() for x in a]))\n",
" title('Mean Accuracy')\n",
" xlabel('Epoch')\n",
" ylabel('% Accuracy')\n",
" return m, a\n",
"\n",
"def show_resuls(m, data, a):\n",
" # Plot the accuracies over epochs\n",
" ps = m.perceptrons.items()\n",
" print 'Weights vs Epochs for each perceptron:'\n",
" for i in range(len(a[0][1])):\n",
" f = figure()\n",
" plot_weights(array([x[1][i] for x in a]), data.columns[:-1])\n",
" title(ps[i][0][0] + ' vs ' + ps[i][0][1])\n",
" xlabel('Epoch')\n",
" ylabel('Weight')\n",
" display(f)\n",
"\n",
" print 'Accuracies:'\n",
" if len(a[0][0]) > 1:\n",
" f = figure()\n",
" plot(array([x[0] for x in a]))\n",
" legend(list(l[0] + ' vs ' + l[1] for l, p in ps), loc='upper left', bbox_to_anchor=(1.01,1))\n",
" ylim(-0.1, 1.1)\n",
" title('Individual Perceptron Accuracy')\n",
" xlabel('Epoch')\n",
" ylabel('% Accuracy')\n",
" display(f)\n",
" f = figure()\n",
" plot(array([array(x[0]).mean() for x in a]))\n",
" title('Mean Accuracy')\n",
" xlabel('Epoch')\n",
" ylabel('% Accuracy')\n",
" display(f)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import perceive as p\n",
"from pylab import *\n",
"#a = m.train(d, split=.7)\n",
"#a\n",
"\n",
"def htmltitle(*args, **kwds):\n",
" level = str(kwds.get('level', 2))\n",
" message = ' '.join(map(str, args))\n",
" display(HTML('<h' + level + '>' + message + '</h' + level + '>'))\n",
"\n",
"def try_rates(meta, data, rates):\n",
" allz = []\n",
" for rate in rates:\n",
" htmltitle('Learning Rate', rate)\n",
" m = p.Main(meta, rate)\n",
" results = m.train(data.copy(), split=None)\n",
" print 'Best accuracy', m.best\n",
" print 'Number of epochs:', len(results)\n",
" show_resuls(m, data, results)\n",
" allz.append(results)\n",
" compare = DataFrame({\n",
" \"Rate\": Series(rates),\n",
" \"Epochs\": Series(tuple(len(results) for results in allz))\n",
" }, columns=['Rate', 'Epochs'])\n",
" htmltitle('Number of Epochs vs Learning Rate')\n",
" display(compare)\n",
" return allz\n",
" \n",
"def trials(meta, data, num, split=.7):\n",
" allz = []\n",
" print 'Running', num, 'trials'\n",
" accuracies = []\n",
" for i in range(num):\n",
" htmltitle('Trial', i+1)\n",
" m = p.Main(meta, .1)\n",
" results, accuracy = m.train(data.copy(), split=split)\n",
" print 'Best accuracy', m.best\n",
" htmltitle('Percent missed (of the test set):', accuracy[0], '; ', accuracy[1], ' instances', level=4)\n",
" accuracies.append(accuracy[0])\n",
" show_resuls(m, data, results)\n",
" allz.append(results)\n",
" htmltitle('Final Results')\n",
" print 'Mean accuracy over', num, 'runs:', 1 - sum(accuracies)/float(num)\n",
" return allz\n",
"\n",
"def runthis(fname, split=.7):\n",
" data, meta = loadarff(fname)\n",
" print 'Running perceptron classification on', fname, 'with a testing split of', split\n",
" \n",
" #figsize(12, 6)\n",
" rcParams['figure.figsize'] = (6, 3)\n",
" return trials(meta, DataFrame(data), 5, split)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 95
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data, meta = loadarff('./ex_1.arff')\n",
"try_rates(meta, DataFrame(data), [1000, 100, 10, 1, .01, .001]);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<h2>Learning Rate 1000</h2>"
],
"metadata": {},
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"output_type": "stream",
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"text": [
"Fully trained\n",
"Best accuracy 1.0\n",
"Number of epochs: 5\n",
"Weights vs Epochs for each perceptron:\n"
]
},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2abab1ac>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"text": [
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"text": [
"Fully trained\n",
"Best accuracy 1.0\n",
"Number of epochs: 3\n",
"Weights vs Epochs for each perceptron:\n"
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2ad2f42c>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"Fully trained\n",
"Best accuracy 1.0\n",
"Number of epochs: 3\n",
"Weights vs Epochs for each perceptron:\n"
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"YII=\n",
"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2b04d16c>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"text": [
"Fully trained\n",
"Best accuracy 1.0\n",
"Number of epochs: 7\n",
"Weights vs Epochs for each perceptron:\n"
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},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2b2540ac>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"text": [
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},
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"text": [
"Fully trained\n",
"Best accuracy 1.0\n",
"Number of epochs: 7\n",
"Weights vs Epochs for each perceptron:\n"
]
},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2b3f330c>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"text": [
"Fully trained\n",
"Best accuracy 1.0\n",
"Number of epochs: 7\n",
"Weights vs Epochs for each perceptron:\n"
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},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2b58172c>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2b10214c>"
]
},
{
"html": [
"<h2>Number of Epochs vs Learning Rate</h2>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<IPython.core.display.HTML at 0x2b795e6c>"
]
},
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Rate</th>\n",
" <th>Epochs</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 1000.000</td>\n",
" <td> 5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 100.000</td>\n",
" <td> 3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 10.000</td>\n",
" <td> 3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 1.000</td>\n",
" <td> 7</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 0.010</td>\n",
" <td> 7</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td> 0.001</td>\n",
" <td> 7</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "display_data",
"text": [
" Rate Epochs\n",
"0 1000.000 5\n",
"1 100.000 3\n",
"2 10.000 3\n",
"3 1.000 7\n",
"4 0.010 7\n",
"5 0.001 7"
]
}
],
"prompt_number": 98
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data, meta = loadarff('./ex_2.arff')\n",
"try_rates(meta, DataFrame(data), [1000, 100, 10, 1, .01, .001]);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<h2>Learning Rate 1000</h2>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<IPython.core.display.HTML at 0x2b5f77ac>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Done classifying; no progress in past 20 epochs\n",
"Best accuracy 0.75\n",
"Number of epochs: 46\n",
"Weights vs Epochs for each perceptron:\n"
]
},
{
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2b19570c>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2aa1e9ec>"
]
},
{
"html": [
"<h2>Learning Rate 100</h2>"
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},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Done classifying; no progress in past 20 epochs\n",
"Best accuracy 0.875\n",
"Number of epochs: 37\n",
"Weights vs Epochs for each perceptron:\n"
]
},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2bf454cc>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"output_type": "display_data",
"text": [
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]
},
{
"html": [
"<h2>Learning Rate 10</h2>"
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"text": [
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},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Done classifying; no progress in past 20 epochs\n",
"Best accuracy 0.875\n",
"Number of epochs: 44\n",
"Weights vs Epochs for each perceptron:\n"
]
},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2bf456ac>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"output_type": "display_data",
"text": [
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]
},
{
"html": [
"<h2>Learning Rate 1</h2>"
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"text": [
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},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Done classifying; no progress in past 20 epochs\n",
"Best accuracy 0.75\n",
"Number of epochs: 21\n",
"Weights vs Epochs for each perceptron:\n"
]
},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2c32e20c>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2c32e1ec>"
]
},
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"html": [
"<h2>Learning Rate 0.01</h2>"
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{
"output_type": "stream",
"stream": "stdout",
"text": [
"Done classifying; no progress in past 20 epochs\n",
"Best accuracy 0.875\n",
"Number of epochs: 24\n",
"Weights vs Epochs for each perceptron:\n"
]
},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2c3339ec>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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"text": [
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},
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{
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"stream": "stdout",
"text": [
"Done classifying; no progress in past 20 epochs\n",
"Best accuracy 0.875\n",
"Number of epochs: 37\n",
"Weights vs Epochs for each perceptron:\n"
]
},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2c6fd38c>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Accuracies:\n"
]
},
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],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2c3e4e6c>"
]
},
{
"html": [
"<h2>Number of Epochs vs Learning Rate</h2>"
],
"metadata": {},
"output_type": "display_data",
"text": [
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]
},
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Rate</th>\n",
" <th>Epochs</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 1000.000</td>\n",
" <td> 46</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 100.000</td>\n",
" <td> 37</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 10.000</td>\n",
" <td> 44</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 1.000</td>\n",
" <td> 21</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 0.010</td>\n",
" <td> 24</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td> 0.001</td>\n",
" <td> 37</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "display_data",
"text": [
" Rate Epochs\n",
"0 1000.000 46\n",
"1 100.000 37\n",
"2 10.000 44\n",
"3 1.000 21\n",
"4 0.010 24\n",
"5 0.001 37"
]
}
],
"prompt_number": 100
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data, meta = loadarff('./ex_1.arff')\n",
"data = DataFrame(data)\n",
"m = p.Main(meta, .1)\n",
"history = m.train(data)\n",
"\n",
"n = p.normalizers(data, meta)\n",
"data = p.normalize(n, data)\n",
"\n",
"f = figure()\n",
"#data[data.columns[:2]].plot()\n",
"cs = data[data.major == 'cs']\n",
"scatter(cs.friends, cs.age, color='r')\n",
"\n",
"law = data[data.major == 'law']\n",
"scatter(law.friends, law.age, color='b')\n",
"\n",
"wx, wy, bias = m.best_weights[0]\n",
"\n",
"y1 = min(data[data.columns[1]])\n",
"y2 = max(data[data.columns[1]])\n",
"\n",
"x1 = (-bias - y1 * wy) / wx\n",
"x2 = (-bias - y2 * wy) / wx\n",
"\n",
"legend(('CS', 'Law'))\n",
"plot([x1, x2], [y1, y2])\n",
"xlabel('Friends (normalized)')\n",
"ylabel('Age (normalized)')\n",
"title('Friends vs Age of CS and Law students')\n",
"display(f)\n",
"data, m.best_weights"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Fully trained\n"
]
},
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"'/>"
],
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0x2f1062cc>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 172,
"text": [
"( friends age major\n",
"0 0.40 0.0 cs\n",
"1 0.10 0.2 cs\n",
"2 0.00 1.0 cs\n",
"3 0.05 0.6 cs\n",
"4 0.40 1.0 law\n",
"5 1.00 0.0 law\n",
"6 0.50 0.6 law\n",
"7 0.35 1.0 law,\n",
" [array([-0.215, -0.08 , 0.1 ])])"
]
}
],
"prompt_number": 172
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data, meta = loadarff('./ex_2.arff')\n",
"data = DataFrame(data)\n",
"m = p.Main(meta, .1)\n",
"history = m.train(data)\n",
"\n",
"n = p.normalizers(data, meta)\n",
"data = p.normalize(n, data)\n",
"\n",
"f = figure()\n",
"#data[data.columns[:2]].plot()\n",
"cs = data[data.hair_color == 'brown']\n",
"scatter(cs.cats, cs.age, color='r')\n",
"\n",
"law = data[data.hair_color == 'blond']\n",
"scatter(law.cats, law.age, color='b')\n",
"\n",
"wx, wy, bias = m.best_weights[0]\n",
"\n",
"x1 = min(data[data.columns[0]])\n",
"x2 = max(data[data.columns[0]])\n",
"\n",
"y1 = (-bias - x1 * wx) / wy\n",
"y2 = (-bias - x2 * wx) / wy\n",
"\n",
"legend(('Brown', 'Blond'))\n",
"plot([x1, x2], [y1, y2])\n",
"xlabel('Number of Cats (normalized)')\n",
"ylabel('Age (normalized)')\n",
"title('Hair Color of Cat Owners')\n",
"display(f)\n",
"data, m.best_weights"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Done classifying; no progress in past 20 epochs\n"
]
},
{
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