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Perceptrons, Irises and Voting
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| "cell_type": "code", | |
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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" | |
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| "data, meta = loadarff('ex_1.arff')" | |
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| "df = DataFrame(data)" | |
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| "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n", | |
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| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>friends</th>\n", | |
| " <th>age</th>\n", | |
| " <th>major</th>\n", | |
| " </tr>\n", | |
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| " <th>0</th>\n", | |
| " <td> 8</td>\n", | |
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| " <td> cs</td>\n", | |
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| "dc.friends /= 2" | |
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| "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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| "outputs": [ | |
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| "text": [ | |
| "array(['cs', 'law'], dtype=object)" | |
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| } | |
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| "prompt_number": 72 | |
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| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "m = dc.major.copy().astype(int)" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
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| "prompt_number": 77 | |
| }, | |
| { | |
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| "input": [ | |
| "dm = df.copy()\n", | |
| "dm.major = numpy.arange(len(dm.major))" | |
| ], | |
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| "outputs": [], | |
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| "input": [ | |
| "df[(df.major == 'cs') + (df.friends >= 10)]" | |
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| " <tr style=\"text-align: right;\">\n", | |
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| "text": [ | |
| " friends age major\n", | |
| "0 8 20 cs\n", | |
| "1 2 21 cs\n", | |
| "2 0 25 cs\n", | |
| "3 1 23 cs\n", | |
| "5 20 20 law\n", | |
| "6 10 23 law" | |
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| { | |
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| "collapsed": false, | |
| "input": [ | |
| "nums = df[df.columns[:-1]]" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 108 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "nums['man'] = Series(np.zeros(len(nums)), index=nums.index)" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [], | |
| "prompt_number": 127 | |
| }, | |
| { | |
| "cell_type": "code", | |
| "collapsed": false, | |
| "input": [ | |
| "list(nums.columns)" | |
| ], | |
| "language": "python", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "metadata": {}, | |
| "output_type": "pyout", | |
| "prompt_number": 147, | |
| "text": [ | |
| "['friends', 'age', 'man']" | |
| ] | |
| } | |
| ], | |
| "prompt_number": 147 | |
| }, | |
| { | |
| "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>" | |
| ], | |
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| { | |
| "output_type": "stream", | |
| "stream": "stdout", | |
| "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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| "<h2>Learning Rate 100</h2>" | |
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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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| "<matplotlib.figure.Figure at 0x2ad059ec>" | |
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| "<h2>Learning Rate 10</h2>" | |
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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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| "<matplotlib.figure.Figure at 0x2aa1902c>" | |
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| "<h2>Learning Rate 1</h2>" | |
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| "Fully trained\n", | |
| "Best accuracy 1.0\n", | |
| "Number of epochs: 7\n", | |
| "Weights vs Epochs for each perceptron:\n" | |
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| "<matplotlib.figure.Figure at 0x2b01c74c>" | |
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| "<h2>Learning Rate 0.01</h2>" | |
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| "Fully trained\n", | |
| "Best accuracy 1.0\n", | |
| "Number of epochs: 7\n", | |
| "Weights vs Epochs for each perceptron:\n" | |
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| "<matplotlib.figure.Figure at 0x2b24ef6c>" | |
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| "<h2>Learning Rate 0.001</h2>" | |
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| "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 0x2b10214c>" | |
| ] | |
| }, | |
| { | |
| "html": [ | |
| "<h2>Number of Epochs vs Learning Rate</h2>" | |
| ], | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "text": [ | |
| "<IPython.core.display.HTML at 0x2b795e6c>" | |
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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> 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>" | |
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| "metadata": {}, | |
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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: 46\n", | |
| "Weights vs Epochs for each perceptron:\n" | |
| ] | |
| }, | |
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| "<matplotlib.figure.Figure at 0x2aa1e9ec>" | |
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| "<h2>Learning Rate 100</h2>" | |
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| "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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| "<h2>Learning Rate 10</h2>" | |
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| "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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| "text": [ | |
| "<matplotlib.figure.Figure at 0x2be5fe6c>" | |
| ] | |
| }, | |
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| "<h2>Learning Rate 1</h2>" | |
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| "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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| "text": [ | |
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| "RK5CYII=\n", | |
| "'/>" | |
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| "text": [ | |
| "<matplotlib.figure.Figure at 0x2c32e1ec>" | |
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| "<h2>Learning Rate 0.01</h2>" | |
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| "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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| "text": [ | |
| "<matplotlib.figure.Figure at 0x2c283c4c>" | |
| ] | |
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| "<h2>Learning Rate 0.001</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 0x2c3e4e6c>" | |
| ] | |
| }, | |
| { | |
| "html": [ | |
| "<h2>Number of Epochs vs Learning Rate</h2>" | |
| ], | |
| "metadata": {}, | |
| "output_type": "display_data", | |
| "text": [ | |
| "<IPython.core.display.HTML at 0x2c907bec>" | |
| ] | |
| }, | |
| { | |
| "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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