From 8e382827dc3d4f143e51b6ec582366c810aa28d6 Mon Sep 17 00:00:00 2001 From: David Goldberg Date: Sun, 20 Sep 2015 10:27:58 -0400 Subject: [PATCH] moved .git folder up one level and added my work from the first 3 chapters --- .ipynb_checkpoints/Chapter_1-checkpoint.ipynb | 6 + .ipynb_checkpoints/Chapter_2-checkpoint.ipynb | 353 ++++++ .../chapter_3_clustering-checkpoint.ipynb | 6 + Chapter_1.ipynb | 430 +++++++ Chapter_2.ipynb | 419 ++++++ chapter_3_clustering.ipynb | 1123 +++++++++++++++++ figure2.png | Bin 0 -> 12275 bytes mlbook.pdf | Bin 0 -> 6805939 bytes .gitignore => repo/.gitignore | 0 LICENSE => repo/LICENSE | 0 README.md => repo/README.md | 0 .../SimpleImageDataset}/building00.jpg | Bin .../SimpleImageDataset}/building01.jpg | Bin .../SimpleImageDataset}/building02.jpg | Bin .../SimpleImageDataset}/building03.jpg | Bin .../SimpleImageDataset}/building04.jpg | Bin .../SimpleImageDataset}/building05.jpg | Bin .../SimpleImageDataset}/building06.jpg | Bin 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"nbformat_minor": 0 +} diff --git a/.ipynb_checkpoints/Chapter_2-checkpoint.ipynb b/.ipynb_checkpoints/Chapter_2-checkpoint.ipynb new file mode 100644 index 00000000..4fac1c04 --- /dev/null +++ b/.ipynb_checkpoints/Chapter_2-checkpoint.ipynb @@ -0,0 +1,353 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#Classifying with Real-World Examples\n", + "\n", + "##Visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt\n", + "%matplotlib inline\n", + "import numpy as np\n", + "from sklearn.datasets import load_iris\n", + "from itertools import combinations\n" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data = load_iris()\n", + "\n", + "features = data.data\n", + "feature_names = data.feature_names\n", + "target = data.target\n", + "target_names = data.target_names\n", + "\n", + "def get_combos(li, r):\n", + " return [c for c in combinations(li, r)]\n", + "\n", + "def plot_features(x, y):\n", + " for t in range(3):\n", + " if t==0:\n", + " c = 'r'\n", + " marker = '>'\n", + " elif t==1:\n", + " c = 'g'\n", + " marker = 'o'\n", + " elif t==2:\n", + " c = 'b'\n", + " marker = 'x'\n", + " plt.scatter(features[target==t,x],\n", + " features[target==t,y],\n", + " marker=marker,\n", + " c=c)\n", + " plt.gca().set_xlabel(feature_names[x])\n", + " plt.gca().set_ylabel(feature_names[y])\n", + "\n", + "for x,y in get_combos(range(4), 2):\n", + " plt.figure()\n", + " plot_features(x,y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "petal length allows us to separate out iris setosa." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Maximum of setosa: 1.9.\n", + "Minimum of others: 3.0.\n" + ] + } + ], + "source": [ + "labels = target_names[target] #array of strings\n", + "plength = features[:, 2]\n", + "is_setosa = (labels=='setosa')\n", + "\n", + "#important step:\n", + "max_setosa = plength[is_setosa].max()\n", + "min_non_setosa = plength[~is_setosa].min()\n", + "print('Maximum of setosa: {0}.'.format(max_setosa))\n", + "print('Minimum of others: {0}.'.format(min_non_setosa))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Therefore, if petal length is smaller than 2, we can conclude this is an Iris Setosa.\n", + "\n", + "We can only look for \"best possible\" separation between other species." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([False, False, False, False, False], dtype=bool)" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "features = features[~is_setosa]\n", + "labels = labels[~is_setosa]\n", + "is_virginica = (labels == 'virginica')\n", + "is_virginica[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "best_acc = -1.0\n", + "for fi in range(features.shape[1]):\n", + " # We are going to test all possible thresholds\n", + " thresh = features[:, fi]\n", + " for t in thresh:\n", + " feature_i = features[:, fi]\n", + " pred = (feature_i > t) #viginica is greater\n", + " acc = (pred == is_virginica).mean()\n", + " rev_acc = (pred == ~is_virginica).mean()\n", + " if rev_acc > acc:\n", + " reverse = True\n", + " acc = rev_acc\n", + " else:\n", + " reverse = False\n", + " \n", + " if acc > best_acc:\n", + " best_acc = acc\n", + " best_fi = fi\n", + " best_t = t\n", + " best_reverse = reverse" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def is_virginica(fi, t, reverse, example):\n", + " \"Apply threshold model to a new example\"\n", + " test = example[fi] > t\n", + " if reverse:\n", + " test = not test\n", + " return test" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Evaluation\n", + "\n", + "* separate into training and testing sets\n", + "* testing set usually has lower accuracy than training.\n", + "\n", + "###cross validation\n", + "Ideally we'd like to use all of the data for training and testing, but we can't. Leave out a subset of the training set. Train on the rest of the set and test on this subset. Repeat for all elements in the dataset." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "correct = 0.0\n", + "for ei in range(len(features)):\n", + " # select all but the one at 'ei'\n", + " training = np.ones(len(features), bool)\n", + " training[ei] = False\n", + " testing = ~training\n", + " model = fit_model(features[training], is_virginica[training])\n", + " predictions = predict(model, features[testing])\n", + " correct += np.sum(predictions == is_virginica[testing])\n", + "acc = correct/float(len(features))\n", + "print('Accuracy: {0:.1%}'.format(acc))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is computationally expensive though. **x-fold cross validation** attempts to solve this. Instead of leaving one out, leave out say, 20%, in a 5 fold cross validation.\n", + "\n", + "With less data, use up to 10 or 20 folds.\n", + "\n", + "Never report your training accuracy. You will look like a noob\n", + "\n", + "##More Complex Classifiers\n", + "What makes up a classification model?\n", + "* **The Structure of the Model** - how does it make decisions?\n", + "* **The search procedure** - How do we find the model we need to use?\n", + "* **gain or loss function** - Which possibilities tested should be returned? Optimize so that model makes fewer erros of a specific kind.\n", + "\n", + "**feature engineering** - derive new combined features. Should vary with what matters but be invariant with what does not.\n", + "\n", + "**feature selection** is choosing good features automatically.\n", + "\n", + "###Classifying with scikit-learn" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.3.5" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/.ipynb_checkpoints/chapter_3_clustering-checkpoint.ipynb b/.ipynb_checkpoints/chapter_3_clustering-checkpoint.ipynb new file mode 100644 index 00000000..286dcb3d --- /dev/null +++ b/.ipynb_checkpoints/chapter_3_clustering-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Chapter_1.ipynb b/Chapter_1.ipynb new file mode 100644 index 00000000..f06c597d --- /dev/null +++ b/Chapter_1.ipynb @@ -0,0 +1,430 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Numpy and Scipy\n", + "* always try to move loops into np.... functions\n", + "* tilde (~) unary operator as in c[~np.isnan(c)] will give you all the values in c that are not nan\n", + "\n", + "##First ML Application" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 1.00000000e+00 2.27200000e+03]\n", + " [ 2.00000000e+00 nan]\n", + " [ 3.00000000e+00 1.38600000e+03]\n", + " [ 4.00000000e+00 1.36500000e+03]\n", + " [ 5.00000000e+00 1.48800000e+03]\n", + " [ 6.00000000e+00 1.33700000e+03]\n", + " [ 7.00000000e+00 1.88300000e+03]\n", + " [ 8.00000000e+00 2.28300000e+03]\n", + " [ 9.00000000e+00 1.33500000e+03]\n", + " [ 1.00000000e+01 1.02500000e+03]]\n", + "(743, 2)\n" + ] + } + ], + "source": [ + "url = 'https://raw.githubusercontent.com/goodwordalchemy/BuildingMachineLearningSystemsWithPython/master/ch01/data/web_traffic.tsv'\n", + "import requests\n", + "from io import BytesIO\n", + "import scipy as sp\n", + "\n", + "r=requests.get(url)\n", + "data = sp.genfromtxt(BytesIO(r.content), delimiter='\\t')\n", + "print(data[:10])\n", + "print (data.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "8" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x = data[:,0]\n", + "y = data[:,1]\n", + "sp.sum(sp.isnan(y))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "x = x[~sp.isnan(y)]\n", + "y = y[~sp.isnan(y)]" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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eeeaZho6bzOzLMhkcHNTBwcHU+n1ZJlk0QyaDg4NarU5XeFrhaa1Wp6fkv379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\nvzImw2SyvrzzDQwMxHwNixa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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "def plot_web_traffic():\n", + " plt.scatter(x,y,s=10)\n", + " plt.title(\"Web traffic over the last month\")\n", + " plt.xlabel(\"Time\")\n", + " plt.ylabel(\"Hits/hour\")\n", + "\n", + " #the following sets the locations and names in the x-axis\n", + " plt.xticks([w*7*24 for w in range(10)],\n", + " ['week %i' % w for w in range(10)])\n", + " plt.autoscale(tight=True)\n", + " plt.grid(True, linestyle='-', color='0.75')\n", + "plot_web_traffic()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model parameters: [ 2.59619213 989.02487106]\n", + "[ 3.17389767e+08]\n" + ] + } + ], + "source": [ + "#for a learned model function f:\n", + "def error(f, x, y):\n", + " return sp.sum((f(x)-y)**2)\n", + "\n", + "fp1, residuals, rank, sv, rcond = sp.polyfit(x,y,1,full=True)\n", + "print('Model parameters: %s' %fp1)\n", + "print(residuals)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "317389767.34\n" + ] + } + ], + "source": [ + "f1 = sp.poly1d(fp1)\n", + "print(error(f1, x, y))" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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WsG1ffLYik/WJyJ+AJcDdqrqsrqWqEEvWV102N5lks1kGDx6el1Bt48a1PRXO\n5iaPOJhMHPwO8Tvv/C0TJpwA5KYXLfVsNZJKk/UdD6wHLhSRJ0XkChH5mohsEfOk/UXk7yLylIgs\nFZFL3PXDReReEXleRO4RkaG+fc4TkeUiskxEDvGtHy0iT7v/zYtzfsMw+ha9HcPQKIJmo3vuubfX\n0VTNQqSCUNXXVPVaVT0GJ7z1BvfzHhG5T0TOKXZgVc0An1PVPYFPAp8TkQOA6cC9qroLcJ/7GxEZ\nBYwHRgHjgEXiDDEEJzngZFX9GPAxERlX+SUbRjg2j3TjiGN+aZQCCTuvt84rd3gepSyeRaPPPluq\nWvYC/AfwrTK2Hwg8CnwCJ0H61u76bYBl7vfzgHN9+ywBxuJEUD3nW38McEXEebRSVqxYUfG+myqb\nq0wymYxmMpmC9ZurPIpRDZlkMhlNpwcqvKjwoqbTAwvkv3DhlZpOD9R0eqAuXHhlr84Vdm+jCDuv\nty6VGqDJZH+FGQoDFdI6Z85cveWWWzWRGKCQ1mSyf155yz1/PXDrzfC6O+oPzVW6s4AtgTROi38N\nMKHUfu6+CeApYCNwmbtune9/8X4DP/crHeBq4EiccRj3+tYfCNwVcb6KhWQvfyEmk3xMHoXUQ0HE\nUSBxKFfJZDIZVwE4500m+2t7e7uvLEsVUq5yeNFVFGk94YQT8/artLz1opiCiDNQ7hBVPVtEvo4z\n3egRwEPAL2P0TrqBPUVkS+BPIvK5wP8qIlUbgDdmzBimTp3a83vs2LGMHTs21r7r169n5cqV1SrK\nJoHJJB+TRyHVkslNN93AkiWXADBu3A2sXr2657+uri4mTDiWrq71ACSTx7Jq1SqSyWTs43d1dfH4\n449y7LEPAfD445fzwgufL3qMbDbLcccdi+OKBXDO6y+LyES3cfo2TvXYxic/+T7HHdfds18l5a2E\n7m5IxBjZ1tbWRltbW7yDRmkOzbXKn3U/rwEOc7//o9R+Icf5IU4W2GXANu66keRMTNOB6b7tlwD7\n4Zih/Camb2ImprpgMsnH5FFIMZmUa04ptn1vTUyV9ELa29tdU9FAhYGaSAzQTCZTUJZ58xZoKuWY\nlOBFnTjxcYX+7u+0HnXUsVXvQXR3q65cqfrLX6qedJLqqFGqhx1W2bHopYlpplupPwX0Az4E/D3G\nfiOAoe73AcCDwBeAy3B9Da5SmOl+H+U7x07Ai+TCcP/uKgsB/giMizhnZRJSe/nDMJnkY/IoJEom\n1fIZ+OkkmqJqAAAgAElEQVSt/b6cMnnbJhIDNJFo0VRqQFFfQiaT0XnzFmg6PdBnYlqqcKFCutdy\n6OpS/cc/VBcuVD3mGNUPf9ipvf3LkCGqnZ3lH7uYgogcB+EhIv2BLYB2Ve10w1wHq+rrJfbbA7ge\nxw+RAH6pqrNEZDiwGNgBp0/2DVVd7+5zPjAJZ0Kiqar6J3f9aOA6V9H8UVVPizinlrqeKCyeuxCT\nST4mj0LCZNLMMf9xRjJv2LDBHR39NJAlmdybtWvfYMiQISWPt2HDBlatWsVee+1LR8djOIGf5csh\nm4XHHoOHHoKHH4b//V9Yv77kbjzxBOy1V+nt/BQbBxHHB/E3Vd3b+6Gq74rIQzgpwCNR1afDtlHV\ntcAXI/a5GGfEdnD948AeMcpqGIYRSanKedGiq5g6dZo7l8PNwMV0dXVx3XW/5LTTTgFySuGaa65n\n2rTTAWdAHMC0aaczYcKxHHHEkdx+++ieOSFK0d4Of/ubowweeggeecRREuWQSMDSpeUriGIUy8U0\nEtgWGCgie+OYdxQYghO2ahiGUYAX8z9tmtOm6ysx//kpvH+Jk4TPSSJx5pm7c/zxE7jxxluYNu30\nHhNMV9ezAEydujsi4k4ctJ477jiQt99+ncmTv8dtt+0KwBFHHNMjh9Wrc8rgoYfgn/90DEXl0L8/\n7LcfHHggHHAA7L8/hHRyekWxHsShwERgO/JzL20Ezq9uMQzD6MsETS31TpxXfb4BXOR+v5nOzk62\n2mobn1LIAp8qeZTf/vZO4B9AP267bQ7HHdfF//1fkhUryi/RsGGOIjjgAEcpjB4N/fqVf5xyiFQQ\nqnodcJ2IHKmqt9e2GIZHX8v2aBieWQZg3rzWnhTXxZ7hZnzOgz2fI444httv3901Ey2js9OvFO7A\nMarsSjKZZN48JwPQtGl7kEgcx+mn38gVVwyks/NXODM2J+nqWsRNN8Uvzw475JTBAQfAqFHxwlir\nSpT3GncwHHAmcIZvORM4I2q/Ri708SimWkR+9IZmkEkzYfIoZPny5aGhoMVotuc8iD9CKX9g3AyF\nfu7guLS77ilNJIbrH/+Y1R//WPVzn+vS73xnRUGEUZzlE59QPflk1ZtuUn355fpdLxUOlPP8DINx\nfA8eEvhtVAH/lIngtEQmT57YVC0swwjS2dlJd7fTwgbo7t6VbDYb+dz2hefcXxYvnffUqbmeBLTj\nxNK8CaTo7n6DL33Jq0oT7LBD6XOk07DPPrnewWc+A8OHV/1Sek0xE9OV7ueFdSuNYRh9ilQqRTKZ\npKvL+Z1MJpuqsu8tqjBu3EksWDCB733vFlSHAB8Ffl3WcQYPhk9/Omcy2ndfGDCgJkWuKsWimH7u\n+6k4PYee3xoxFsGojGpEfjSjXdeoLY2+58lkkvnz5/me23k9ZQkrW9RzHrZtI66tqwueeSYXXfTw\nw07EkTME64TYx9l6a0cReMsee0AqzqCCZiPK9oQzH8RE9/Nl3/fjgYlR+zVyoY/7IFQrHy1aC7tu\ntWTSjBksK6FZnhGPZrDlezIJ3uNSZfNvXyxjaq2v7f33VR98UPWii5xUFVtuWb7vwFmyKnKdXnXV\nB/rYYyu0u7tmRa469CbVhrM/T8bZrtHLpqAgKqFa2S6DVEMmzVCJVYtmekZqdc/LJUwm5ZQtbNt8\nx3Dl1xbWMFm3TvX3v1edPl31M59R7devuwJl0K2wWqFV4RhNJHbIe76b6TmJQzEF0Rc7PU1Fo7v4\nzUxfcEgafZuo92/RoqvcAW3bMmHCFQwY8AUefhiefjo4IC00w0QeAwbA2LGQTj/KPff8CGjFSRLx\nNPAVEondWbPm9dBUHH2dekfVblI0yyTkfXa2KqNimvmel1O2sG29yKFS+wffP1V47jlYuLCD739/\nMB0d6+nsXM61136BRYvij1YePhy++lW45JJOHnzwA9avhzvv3MD9938WOADYC+jo2V5EevwofXl6\n0VCiuhbAOzijpjfiJM/b6Fs2RO3XyIU6mpiapYsfLFM1y1BtE1Nr64KGy6g3NKPpoNH+nWql+w7b\n1lsX9V8qNUTh3wprVOR3utVWlZiL1PUf/EoXLPhAn33WyZzqf27Hj5+Ql84blqpI/zzTqX/7xYtv\nK1+QDYTe+iD6yrK5K4hqU00ntZcKuS/7IppRQTQKr9KutUz8Fe+cOdfoPfeo/uhHqgcd1KXwbgXK\noEsho7Be4dsKH1FI6/jxE/KuLX/WuLQ7SC5/GlG/8vLXBZMmndin6gJTEDGo5EH3z03b2rqg4nM3\nKytWrKhKC3VTUaamIByq1Vou9Wy9/HJGk8ljFNYovKfQUbZC6NevWz/zGdVzz3Wc07NmXRuYTzr/\nmcxkMiWmFV2qqVT+aHFTEH1kqbeCUNWKWsa1NgtU6/iLF99WtYni4yiIRptLSlHpM9Ls11UO1aoM\ng9Ft3d2qy5erXnut6qRJqrvsUp4iyE2a062HHtqpF13khK++/374NYRFSnkzw6VSA3T8+Ak95Tvq\nqGPdXsRShaWhz6+ZmPrAUm8FUUnLuNZhn9U6fiaT0UmTTqxaq79UufpCOGxUSGeUnVy1uvejGZRM\nuQoi2n8wSGGVwlsqcptus02l/oPVKvJrPfroh/WMM27UVGpQbFkH/WPBnFLt7e09Zc8piXxzVNi1\n9rWepimIGNRDQdTa1FLN41dbQXjHjOo5+Lv7yWT/pqgMgwSfEf+0lMlk/4KKqVr3o9mUZ9zWsn+7\nuXOv1r/+VXXGDNWDD+5SaK9IIeyyS5eeeKLq9dervvii6vvvO89UrgIvlHUcB3h7e3ve/pDSN998\ns2fbcu6jKYgmXRphYirn5e1LCkK1eiamUhS+nGltb2+v2fkqxf+M5GS91GefLqyYens/mtV/U6y1\nnMlkdOXKdk0mj1BYp/C+QrYChdCh8KjCPIXxKrJ96LU7z08q9D7EHaXd3t7ua6TMUP880qYgNpGl\nEQpCtbzuf18xMalGO6mLXW8lppBMJlN2yui4x61V2G8cBaHa+/tRj0ZFb3qZy5cvV1UnPfVNN6ke\ncMCzCs9UaC56R53IpAcUDlbY0pVttO1f1d/AmOFun9Y5c1pDZRfle/B6golES15jJZVyTE3B+1hM\nbqYgmnSpVEH4H/R62Hr7ipM67EEvVuH1JpR14cIrexyE1VCc9chNVcrE5BH3ftTaj1Gt43Z1qf7g\nB4s1kThVjz/+Lh02bEOFCqFT4R1NJM7Rv/xlo86ff1VgvIE3/0IutDRKTjkTU0qPOurYnu2CyuDN\nN9/MW5dKDcj77d3HqJ5EVK/EjymIJl0qURDezZ406cS8yIVmsPXWi6iKKfigF2vNtrYu0CgbcG/L\nUS61anVX4qSOSznJ7apBOTLKZlX/9jfViy7q0C9/uVOHD885lCdOjD85zkc/qvrtb6suWvSBplJ7\nFlTCra0LQivwN998s6dsxUxGyWR/nT17bqRcvffbr9BbWxf4zrdUk8n+OmdOa0BR5YfBlpKbKYgm\nXcpVEP6bPXHiI2VVcI2IKqnFOYtVTHEVhBOV4pmIGm8rr6eCqAaN8DMUO2d7u+qSJaoXXKB60EGq\n/ftHV/rRCqJLt9vuLT3ooKc1mZygqdTOec+XF1Ka31tI51XkcZz+cRL7eU7oYE/Bc0IvXHila+LM\n9VZmz54b+aybguijS70URCOiSmpxzlIPe1wTU+44ORvwvHn5AwfrrVBrEV66KSkIVf9Az5108uR7\n9LTTVPfeWzWRiFYI0QrifXUGs63VROJr+vLL7ZHX5W/xO47hQj9Oe3t7XphplJziZn7N37fQdBTW\nwIkymZqJqY8u9TAxlfMyN7vJpNhx/X6ZsP2C5/ePKp89e25VHbVxriOqUuiNnIIVRC1e/Lh27d4c\n2093t+rzz6tec43q8cer7rxzV2xl4F+23LJbDznkAz3++F8orFQY1mOm8UYax6nQE4kBoeYcT/b+\nLAW5ln5aE4mWvPVxZOf5uYJO6FWrVkX2gCt5tkxBNOlSDyd1qcq6Fi98MdNObxVFMZvupEknlmUP\nz2QKcy5FVRLVaiFXKudSsgvzqfgVZi1kX81eVk5hD9Zzz71d585VPfJI1a23Ll8ZOMu/FRYrTFWR\nMfree05Zc2Nlwh3KYdcY9DGsWrVK58xp7dkuZ97xRyX5TT4X5vUAVLWnx1GKfAWVK7NIi4q0FJS/\nEkxBNOlSjzDXsErQw9+KDsvz0huCL1o1nZr+bfPNbo8XlL3YeeO2GMut0IsppEp6VnFkF9ai9BRE\nNWRfq17hu++qLlmS1UTiJ+qEjFbWQ9htN9WTTlK94QbVZcsymkqFh5t6Y2WKPfNBefijv/yVcmvr\nAp9vIn9cQy7aqNAcFSd6rr29vcfZXewcfod4pZiCaNKl1gqimBkl/4X3MkBW3yQUx1HWm95LMQUR\np/dUzOZcLEFaJf6eSirZOPvklNqF6mXwnDdvQc+4kGL7xw31LSfqq5h81qxR/e1vVc86S3W//VRT\nqfKVQSrl7Hvmmap33qn61luF5w/rGWYymR6ZlDsLXHt7e4ESzlcCFxTIp9CxvTQQlhp+3vHjJ/T0\nFKDFfQZbChREtd5TUxBNutRSQWQyXjqIcEdssOKI21KuxKxQynfQ25ZplIkpzrGjKvSoSqRYhdqb\n81UiO//xoL8G4+pLKYiwSj/MnJY7RrRTP+z6Fiy4UleuVP3lL53W/ahR5SsDUN1iC9WDD1b9yU9U\n//IX1XfeiZaX//zefB5RqTbi3gvvWQhTEP4Bk9BScDxPWfl9EcV66/mjrJcGPnMpvP0+jd5iCiJ+\nhb09cD/wLPAMcJq7fjhwL/A8cA8w1LfPecByYBlwiG/9aJw5/pYD8yLOV7GQSt3UYsP5Pcq1Kfem\npV+sIi7Vyo+jMPx+mXLLHLdHkB+DHr9HUs75SpUhXHbho6O9ZyQqkiu/wiucVCb8ugrTR3u8915G\nU6kxCm8pbFQnuV35CuFDH1I94gjVuXNVH31U9Z138k2KxXoupUyGwWR9xY7X3t6e52sYP35CT0Xv\nmZiCObk8BesplUwmU6CIizXGohWEd56lCv0qfg/DMAURX0FsA+zpfh8E/AvYDbgMOMddfy4w0/0+\nCngKSAMfAV4AxP3vEWBf9/sfgXEh56tYSHF6ECL9tZRZwG8yKVZpVaOlH3WOqAqs3JHOUTKJe42l\nyh3HzFINZ39YOaPWxVEQYfvn9woGKCSLXlv4PVJ9+GHVmTNVv/xl1aFDK8twuvPOToTS1Ver/utf\nuYR2wfOWitqLqyD8vSR/Re7HMfOkCmTiD2ctZqL09xicdBjRgQ9+f4OqN8o6Z2Jy9u/nHsMzWS1V\neCpSWUc9M2GYgqhcYdwJfNHtHWytOSWyTHO9h3N92y8BxgIjged8648Brgg5fsVCiuuD8JREsUiH\nuK3s3ioI/7GKVYBh4X1xzldMJr2tuEuZ7KKupVzKLaffgRpMn1FMQaj6B3/181U80fJ+442M/u53\nWT3/fNUDD1RtaSlfGSQSqnvtpXrqqaqLF6uuXh19/cFRw3Geh2JRbun0QJ0162dFewSewshVwtEV\nu18RePsXmqIKZ3jzPzd+ZSDS0jNdaCLRojNnzgqYOh2lkH+/nIip3jRUTEFUphw+ArwMDAbW+daL\n9xv4OfAt339XA0e65qV7fesPBO4KOUfFQop7U/2TisRtdUW1tqvROo4TUVOsVVyMYj2I3iq3/Ayu\nzqxd5WZwrWYvzX+sqB5SMRNTTrH4k73lD8h69VXVW29V/f73Vffcs7wBad7Sv3+3HnSQ6g9+4Ix2\nLiay4PXn5x0qriCC8ggbtNbe3u4Lcw3OvJa79pkzZ/nOlQtR9fdgcsrLqbQ985xXufufXcc81M89\nX7+eezB79lwNzv6W6ynkkkD6e9M5hR4+iK7c58j/nPQVGq4gXPPS48Dh7u91gf/Xah9QEMUeFH+F\nEtymlCO2UnNNnAc3f5vCh99fhrgyKTdiJcwc097eXjSDayl5VLOXFldRr1ixIvTaC6eo9CrDV1Tk\nZD322Kx+9KPlKwNQHTZM9b//W/Xww9s0mfycplJDywoPLvYsRpmY4oZUZzKZCAXhb4zM6KnIc630\npF500SUFyiv3POT3vpwsq0ET04CCe+D0SP0K4qm840BKZ86cnaeU5syZG1Hu3PNS7vO+KSkIz75f\nM0QkDfweuFtVW911y4DPqurrIjISuF9VdxWR6W4tP9PdbgnwY5yex/2qupu7/pvAQap6sv9c++67\nr+6///49v8eOHcvYsWNjlXP9+vUMHTq06DZdXV1ccsmldHV9D4Bk8nLOO+9cnnzyHyxZsgSAcePG\n8fLLr/DMM88AsNtuu/H88/8q2CeZTPYc97HHnsjbf5999o5V5qjy+I8dPP7BBx/MPvvs3bNNsXOH\nycTbvrsbRBQRKVrm4PGBnt+77TaKpUuXAnDYYbljlJJH3Ouu9rGWLn2O22//Dd3d3cApPdufffaZ\nXHbZXLq7TwFSwCs48RkDQ2VSjAEDPmDYsHd47bVHEFnFuHGj2XvvT/nK2EUicRXnnx9exmLX7917\nj2QySVdXV8E+fnkkEpcjQoF8PP71r+e5447fAM79fPbZpah24RgGTgauAk5yP8Fp2z3kXkeC7u4p\nPecBdX93AVcQlLHHZZfNobsbICePc845k1mz5tDVtTNOHIuDiKA6BSdG5q9uuU4JXFuuTP7/k8nL\nOeSQg7nnnntjP+8Qry5pJG1tbbS1tfX8nj9/PqoqoRtHaY5qLDjSvgGYG1h/Ga6vAZhOoZO6H7AT\n8CI5J/Xfgf3cY9bMSR3VcvXWxxkZmusqX6ieXbO3kTpRlBNaWLx3UTwXU1hLysuVX+yc0SaO8DDQ\nOPIoN3Nssd5IXPnnt5ZnKGypyeSX9EtfelQ/97ku7dfvg4p6CKNGdWkicZXCGwrPh8b15+Re2l8T\ndr1+k0rYc+J/hoIzs4XdM/+xbr751lAndeGYhQs1GAWYCyVO61FHHZt3nqjIpJyfop8GR25715FM\n9u/xN+T73/J7CEGTm5fJNdxnU/p599iUehC1VhAHAN1upf+ku4zDCXP9M+FhrufjRC8tAw71rffC\nXF8A5kecr2IhrVixIrKyLRa+WlxBeF3m4knsKrGTx1kfZ784CiLOCPE4CiissilXaWUy3uRCOadi\nscoyDlFRX/7zrlqV0RNOuExzM6SVrxDSadX991c9+2zV3/3OGeSWu17vGUmFyjioFKMqq6hrKWYa\nLTSP5Q8Q9B8zP8vpDJ04cVJk4yQ3XiGliUSLfv3r4zXf7+RV2ktDTbFhii537qfyjuXP/xR8JgvT\na+TMrFHy8qKrKmm8mYJo0qU3CmL58uWhD0OcCiv4YOdaLfkOs6gQuji9gEod2qX2K/Z/2MCwsJZd\nsWPEtWcXk6e33ntxe+vcDsNfsSxYcKWmUrtpMnmifvrTS3XXXZ03pZy5D5ylS510Fz/SO+9cp2vX\nhitpxw6eqyzDZBzXl1TuM1xY6ebCP0X6522X3ytwWuNOFuTC2d7yFV9O2fidw+WOqg/39YQ3voo9\nd150Vdi9D+5byRwxpiCadKm3goh66Pzd7LDsk2GUYwaJ29Utx3wS5aQOO0bQpBCnVxDHAR0lz+D6\n4GCqckxyYXR2qj71lOqCBapHH92p8GpohV9aQbyuRxzRqfPmqR588AXqmVD22mu/oj3TZLK/m5Mo\n57APG0tQaC7Jr5jjPqthStxr6ft7KX7Z5h/bMxf104kTT9SoIIOwfFb+cQ/lNHrCwo+D5rBS72yp\nnnaUDMtNLmkKokmXepmYVKMr7TBzlGfX9KcujvOwesRpPZber3z/RrGwzmLnCMvl79++HHNXWA/G\nHytfSXjw+++rPvig6sUXqx52mOqWWxar9KMVxIc+tE733/85TSa/q6nU7rpgQeEo3ksvnV2iEpuh\nOVt8aaVXKvqrmLmstOyjQ6ELTWFJFWnRiRMfjyxznBHPlVTa3rsW75kJNz/FPVe574yqKYimXerh\npPb/DlbauQlQcg9XbgrFXFfYc8iV020tNdgtqpVerGsdVybF5OLvJSWT/QsGS5VStOHyjJpTwB9C\nGm2yC7Juneof/qA6fbrqZz6j2q9fPIUQHJA2ffqLmkgsUHhd4aWSLdOoVrS3vfNff835qgrDK4M9\nxUwmE9qD8pfB/738cOD8KUD915Vf4Tv3wlMQURVpKZNSHCrpGfkT9HkD5srtrZTzfvoxBdGkSzUU\nRDnkz11b2BLMTYYSHLxTWabXKKdZmL3VP5jPsx9X05bq9Izm5lUYyWT/ohViqZZZcCRt0McRVskE\nzV2ZTEb//W/Vm29WnTJF9ZOfVBUpXyEMGNCtBx3UpT/8oervf5/Vt97KRJohi8ko2Oq+9NJZPf87\nTtuUqyDybelOBec44cePnxByzNLjbOK2hsNGMIc5jIPPn0h/nTTpxJLPVNi+cWTnVwLFeo3e8f3P\ngfMcemMlyn/nyunhBzEF0aRLPRVE7gV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4agNnlVKzlVLblFIfK6UigIoictqscxqoaO5XAY65nH8MqJpN+XGzvFiil47V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\neC+5ubl4vV5uv/0uXn75NSAybmEiUTeTuR9QpeuqulCtFocIC7WFAPS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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#fitting higher degrees:\n", + "def plot_higher_degrees():\n", + " degrees = [1,2,3,10,53]\n", + " fx = sp.linspace(0, x[-1]+24*7*2, 1000)\n", + " plot_web_traffic()\n", + " for d in degrees:\n", + " fp = sp.polyfit(x,y,d)\n", + " f = sp.poly1d(fp)\n", + " print('degree:',d,error(f, x, y))\n", + " \n", + " plt.plot(fx, f(fx), linewidth=2, label='d=%d'%f.order)\n", + " plt.ylim(0,10000)\n", + " plt.legend(loc='upper left')\n", + "plot_higher_degrees()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Error inflection=132950348.197616\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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AZgDLH1vZbW+qeiFWQKjqm6p6i6oeg+Peerv7e7+I/E1Ezip0YlVtBQ5W1d2B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\nOworFZZrJrO9rl4dH8bDr9IR6Rc5yVM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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#separating data at inflection point ~3.5 weeks\n", + "inflection = 3.5*7*24\n", + "xa = x[:inflection]\n", + "ya = y[:inflection]\n", + "xb = x[inflection:]\n", + "yb = y[inflection:]\n", + "\n", + "fa = sp.poly1d(sp.polyfit(xa, ya, 1))\n", + "fb = sp.poly1d(sp.polyfit(xb, yb, 1))\n", + "\n", + "fa_error = error(fa, xa, ya)\n", + "fb_error = error(fb, xb, yb)\n", + "print(\"Error inflection=%f\" % (fa_error + fb_error))\n", + "\n", + "plot_web_traffic()\n", + "fxa = sp.linspace(xa[0], xa[-1], 500)\n", + "fxb = sp.linspace(xb[0], xb[-1], 500)\n", + "plt.plot(fxa, fa(fxa), linewidth=5)\n", + "plt.plot(fxb, fb(fxb), linewidth=5)\n", + "plt.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* underfit data might capture future data better\n", + "\n", + "###Training and Testing\n", + "We can't look into the future, but we can remove a certain percentage of the data and train on the remaining part. Use the held-out set to calculate the rror\n" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Error d=1: 1.8e+07\n", + "Error d=2: 1.7e+07\n", + "Error d=3: 1.8e+07\n", + "Error d=10: 2.8e+07\n", + "Error d=53: 1.3e+09\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/davidgoldberg/anaconda/envs/py3k/lib/python3.3/site-packages/numpy/lib/polynomial.py:588: RankWarning: Polyfit may be poorly conditioned\n", + " warnings.warn(msg, RankWarning)\n", + "/Users/davidgoldberg/anaconda/envs/py3k/lib/python3.3/site-packages/numpy/lib/polynomial.py:588: RankWarning: Polyfit may be poorly conditioned\n", + " warnings.warn(msg, RankWarning)\n" + ] + }, + { + "data": { + "image/png": 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1wwNBKY4oxIzSsd988w1r167F6XRSUlLCfffdR8+ePenmR9bRaKBrujZOf8nO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\nndiouhC97rixY8d57mPJkid8cQsilzjWJViFUOKJJ/gvdGrxfCKA/ot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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "frac = 0.3\n", + "split_idx = int(frac * len(xb))\n", + "shuffled = sp.random.permutation(list(range(len(xb))))\n", + "test = sorted(shuffled[split_idx:])\n", + "train = sorted(shuffled[:split_idx])\n", + "plot_web_traffic()\n", + "fx = sp.linspace(0, x[-1]+24*7*2, 1000)\n", + "for d in degrees:\n", + " f = sp.poly1d(sp.polyfit(xb[train], yb[train],d))\n", + " print(\"Error d=%d: %0.2g\"%(d,error(f, xb[test], yb[test])))\n", + " plt.plot(fx, f(fx), linewidth=2, label=\"d=%d\"%d)\n", + "plt.ylim(0,10000)\n", + "plt.legend(loc='upper left')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 2\n", + "0.0988 x - 113.4 x - 6.537e+04\n", + "100000 hits/hour expected at week 9.342779\n" + ] + } + ], + "source": [ + "fbt2 = sp.poly1d(sp.polyfit(xb[train], yb[train], 2))\n", + "print(fbt2-100000)\n", + "from scipy.optimize import fsolve\n", + "reached_max = fsolve(fbt2-100000, x0=800)/(7*24)\n", + "print(\"100000 hits/hour expected at week %f\"%reached_max[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Conclusions:\n", + "* understand your data\n", + "* correct experiment setup - training and testing" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.3.5" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Chapter_2.ipynb b/Chapter_2.ipynb new file mode 100644 index 00000000..f0236761 --- /dev/null +++ b/Chapter_2.ipynb @@ -0,0 +1,419 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#Classifying with Real-World Examples\n", + "\n", + "##Visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt\n", + "%matplotlib inline\n", + "import numpy as np\n", + "from sklearn.datasets import load_iris\n", + "from itertools import combinations\n" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data = load_iris()\n", + "\n", + "features = data.data\n", + "feature_names = data.feature_names\n", + "target = data.target\n", + "target_names = data.target_names\n", + "\n", + "def get_combos(li, r):\n", + " return [c for c in combinations(li, r)]\n", + "\n", + "def plot_features(x, y):\n", + " for t in range(3):\n", + " if t==0:\n", + " c = 'r'\n", + " marker = '>'\n", + " elif t==1:\n", + " c = 'g'\n", + " marker = 'o'\n", + " elif t==2:\n", + " c = 'b'\n", + " marker = 'x'\n", + " plt.scatter(features[target==t,x],\n", + " features[target==t,y],\n", + " marker=marker,\n", + " c=c)\n", + " plt.gca().set_xlabel(feature_names[x])\n", + " plt.gca().set_ylabel(feature_names[y])\n", + "\n", + "for x,y in get_combos(range(4), 2):\n", + " plt.figure()\n", + " plot_features(x,y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "petal length allows us to separate out iris setosa." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Maximum of setosa: 1.9.\n", + "Minimum of others: 3.0.\n" + ] + } + ], + "source": [ + "labels = target_names[target] #array of strings\n", + "plength = features[:, 2]\n", + "is_setosa = (labels=='setosa')\n", + "\n", + "#important step:\n", + "max_setosa = plength[is_setosa].max()\n", + "min_non_setosa = plength[~is_setosa].min()\n", + "print('Maximum of setosa: {0}.'.format(max_setosa))\n", + "print('Minimum of others: {0}.'.format(min_non_setosa))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Therefore, if petal length is smaller than 2, we can conclude this is an Iris Setosa.\n", + "\n", + "We can only look for \"best possible\" separation between other species." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([False, False, False, False, False], dtype=bool)" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "features = features[~is_setosa]\n", + "labels = labels[~is_setosa]\n", + "is_virginica = (labels == 'virginica')\n", + "is_virginica[:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "best_acc = -1.0\n", + "for fi in range(features.shape[1]):\n", + " # We are going to test all possible thresholds\n", + " thresh = features[:, fi]\n", + " for t in thresh:\n", + " feature_i = features[:, fi]\n", + " pred = (feature_i > t) #viginica is greater\n", + " acc = (pred == is_virginica).mean()\n", + " rev_acc = (pred == ~is_virginica).mean()\n", + " if rev_acc > acc:\n", + " reverse = True\n", + " acc = rev_acc\n", + " else:\n", + " reverse = False\n", + " \n", + " if acc > best_acc:\n", + " best_acc = acc\n", + " best_fi = fi\n", + " best_t = t\n", + " best_reverse = reverse" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def is_virginica(fi, t, reverse, example):\n", + " \"Apply threshold model to a new example\"\n", + " test = example[fi] > t\n", + " if reverse:\n", + " test = not test\n", + " return test" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Evaluation\n", + "\n", + "* separate into training and testing sets\n", + "* testing set usually has lower accuracy than training.\n", + "\n", + "###cross validation\n", + "Ideally we'd like to use all of the data for training and testing, but we can't. Leave out a subset of the training set. Train on the rest of the set and test on this subset. Repeat for all elements in the dataset." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "correct = 0.0\n", + "for ei in range(len(features)):\n", + " # select all but the one at 'ei'\n", + " training = np.ones(len(features), bool)\n", + " training[ei] = False\n", + " testing = ~training\n", + " model = fit_model(features[training], is_virginica[training])\n", + " predictions = predict(model, features[testing])\n", + " correct += np.sum(predictions == is_virginica[testing])\n", + "acc = correct/float(len(features))\n", + "print('Accuracy: {0:.1%}'.format(acc))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is computationally expensive though. **x-fold cross validation** attempts to solve this. Instead of leaving one out, leave out say, 20%, in a 5 fold cross validation.\n", + "\n", + "With less data, use up to 10 or 20 folds.\n", + "\n", + "Never report your training accuracy. You will look like a noob\n", + "\n", + "##More Complex Classifiers\n", + "What makes up a classification model?\n", + "* **The Structure of the Model** - how does it make decisions?\n", + "* **The search procedure** - How do we find the model we need to use?\n", + "* **gain or loss function** - Which possibilities tested should be returned? Optimize so that model makes fewer erros of a specific kind.\n", + "\n", + "**feature engineering** - derive new combined features. Should vary with what matters but be invariant with what does not.\n", + "\n", + "**feature selection** is choosing good features automatically.\n", + "\n", + "###Classifying with scikit-learn\n", + "**k neighbors**\n", + "* normalize to z-scores -- how far from mean inunits of std deviation" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean accuracy: 94.0%\n" + ] + } + ], + "source": [ + "from sklearn.neighbors import KNeighborsClassifier\n", + "from sklearn.cross_validation import KFold\n", + "\n", + "classifier = KNeighborsClassifier(n_neighbors=1)\n", + "kf = KFold(len(features), n_folds=5, shuffle=True)\n", + "means = []\n", + "for training, testing in kf:\n", + " classifier.fit(features[training], labels[training])\n", + " prediction = classifier.predict(features[testing])\n", + " curmean = np.mean(prediction == labels[testing])\n", + " means.append(curmean)\n", + "print('Mean accuracy: {:.1%}'.format(np.mean(means)))" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean accuracy: 94.0%\n" + ] + } + ], + "source": [ + "from sklearn.pipeline import Pipeline\n", + "from sklearn.preprocessing import StandardScaler\n", + "\n", + "classifier = KNeighborsClassifier(n_neighbors=1)\n", + "\n", + "# each step gets (str,clf) pair. str is name of step\n", + "# second is object that performs the transformation.\n", + "classifier = Pipeline([('norm', StandardScaler()),\n", + " ('knn', classifier)])\n", + "\n", + "for training, testing in kf:\n", + " classifier.fit(features[training], labels[training])\n", + " prediction = classifier.predict(features[testing])\n", + " curmean = np.mean(prediction == labels[testing])\n", + " means.append(curmean)\n", + "print('Mean accuracy: {:.1%}'.format(np.mean(means)))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.3.5" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/chapter_3_clustering.ipynb b/chapter_3_clustering.ipynb new file mode 100644 index 00000000..4adf7e91 --- /dev/null +++ b/chapter_3_clustering.ipynb @@ -0,0 +1,1123 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Bag of Words** - order of words is ignored and word counts collected.\n", + "1. Extract salient features from each post and store it as a vector per post\n", + "2. Compute clustering on the vectors\n", + "3. From this cluster, fetch a handful of posts having a similarity to the post in question. (diversity)\n", + "\n", + "#Preprocessing\n", + "###Converting raw text into a bag of words" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "CountVectorizer(analyzer='word', binary=False, decode_error='strict',\n", + " dtype=, encoding='utf-8', input='content',\n", + " lowercase=True, max_df=1.0, max_features=None, min_df=1,\n", + " ngram_range=(1, 1), preprocessor=None, stop_words=None,\n", + " strip_accents=None, token_pattern='(?u)\\\\b\\\\w\\\\w+\\\\b',\n", + " tokenizer=None, vocabulary=None)" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.feature_extraction.text import CountVectorizer\n", + "vectorizer = CountVectorizer(min_df=1)\n", + "vectorizer" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['disk', 'format', 'hard', 'how', 'my', 'problems', 'to']" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "content = [\"How to format my hard disk\", \"Hard disk format problems\"]\n", + "X = vectorizer.fit_transform(content)\n", + "vectorizer.get_feature_names()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1 1]\n", + " [1 1]\n", + " [1 1]\n", + " [1 0]\n", + " [1 0]\n", + " [0 1]\n", + " [1 0]]\n" + ] + } + ], + "source": [ + "print(X.toarray().transpose())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Counting Words" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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Post FilenamePost Content
001.txtThis is a toy post about machine learning. Act...
102.txtImaging databases provide storage capabilities.
203.txtMost imaging databases save images permanently.\\n
304.txtImaging databases store data.
405.txtImaging databases store data. Imaging database...
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" + ], + "text/plain": [ + " Post Filename Post Content\n", + "0 01.txt This is a toy post about machine learning. Act...\n", + "1 02.txt Imaging databases provide storage capabilities.\n", + "2 03.txt Most imaging databases save images permanently.\\n\n", + "3 04.txt Imaging databases store data.\n", + "4 05.txt Imaging databases store data. Imaging database..." + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "def read_directory_to_list(directory='./repo/ch03/data/toy'):\n", + " import os\n", + " result = pd.DataFrame(columns=['Post Filename','Post Content'])\n", + " for fn in os.listdir(directory):\n", + " filename = directory+'/'+fn\n", + " with open(filename, 'r') as f:\n", + " result = result.append({'Post Filename': fn,\n", + " 'Post Content': f.read()},\n", + " ignore_index=True)\n", + " return result\n", + "posts = read_directory_to_list()\n", + "posts" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "#samples: 5, #features: 25\n" + ] + } + ], + "source": [ + "from sklearn.feature_extraction.text import CountVectorizer\n", + "vectorizer = CountVectorizer(min_df=1)\n", + "\n", + "#We have to notify the vectorizer about the full dataset up front\n", + "#so that it knows what words are to be expected.\n", + "posts = posts['Post Content']\n", + "X_train = vectorizer.fit_transform(posts)\n", + "num_samples, num_features = X_train.shape\n", + "print(\"#samples: %d, #features: %d\"%(num_samples, num_features))" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Returns sparse array\n", + " (0, 5)\t1\n", + " (0, 7)\t1\n", + "\n", + "to array:\n", + "[[0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]\n" + ] + } + ], + "source": [ + "#We can now vectorize our new post.\n", + "new_post = \"imaging databases\"\n", + "new_post_vec = vectorizer.transform([new_post]) #note [list]\n", + "\n", + "#returns a sparse matrix\n", + "print(\"Returns sparse array\")\n", + "print(new_post_vec)\n", + "print()\n", + "\n", + "new_post_vec = new_post_vec.toarray()\n", + "print('to array:')\n", + "print(new_post_vec)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Naive Version - Euclidean distance\n" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "New post: imaging databases\n", + "\n", + "=== Post 0 with dist=4.00: This is a toy post about machine learning. Actually, it contains not much interesting stuff.\n", + "=== Post 1 with dist=1.73: Imaging databases provide storage capabilities.\n", + "=== Post 2 with dist=2.00: Most imaging databases save images permanently.\n", + "\n", + "=== Post 3 with dist=1.41: Imaging databases store data.\n", + "=== Post 4 with dist=5.10: Imaging databases store data. Imaging databases store data. Imaging databases store data.\n", + "Best post is 3 with dist=1.41\n" + ] + } + ], + "source": [ + "import scipy as sp\n", + "def dist_raw(v1, v2):\n", + " delta = v1-v2\n", + " return sp.linalg.norm(delta) #calculates euclidean difference\n", + "\n", + "def find_euclidean_closest(new_post, dist_func, X_train=X_train):\n", + " print(\"New post: %s\"%(new_post))\n", + " print()\n", + " new_post_vec = vectorizer.transform([new_post])\n", + " new_post_vec = new_post_vec.toarray()\n", + " \n", + " best_doc = None\n", + " best_dist = sp.inf\n", + " best_i = None\n", + " for i, post in enumerate(posts):\n", + " if post == new_post:\n", + " continue\n", + " post_vec = X_train.getrow(i).toarray()\n", + " d = dist_func(post_vec, new_post_vec)\n", + " print(\"=== Post %i with dist=%.2f: %s\"%(i,d,post))\n", + " if d\n" + ] + } + ], + "source": [ + "print(X_train.getrow(3).toarray())\n", + "print(X_train.getrow(4).toarray())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Normalizing Word Count Vectors" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "New post: imaging databases\n", + "\n", + "=== Post 0 with dist=1.41: This is a toy post about machine learning. Actually, it contains not much interesting stuff.\n", + "=== Post 1 with dist=0.86: Imaging databases provide storage capabilities.\n", + "=== Post 2 with dist=0.92: Most imaging databases save images permanently.\n", + "\n", + "=== Post 3 with dist=0.77: Imaging databases store data.\n", + "=== Post 4 with dist=0.77: Imaging databases store data. Imaging databases store data. Imaging databases store data.\n", + "Best post is 3 with dist=0.77\n" + ] + } + ], + "source": [ + "def dist_norm(v1, v2):\n", + " v1_normalized = v1/sp.linalg.norm(v1)\n", + " v2_normalized = v2/sp.linalg.norm(v2)\n", + " delta = v1_normalized - v2_normalized\n", + " return sp.linalg.norm(delta)\n", + "\n", + "find_euclidean_closest(\"imaging databases\", dist_norm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Removing Less Important Words\n", + "**stop words** words like \"most\" that appear in all sorts of different contexts." + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['anyone', 'myself', 'cannot', 'my', 'off', 'via', 'also', 'un', 'even', 'sometime', 'whither', 'ever', 'between', 'wherein', 'everyone', 'some', 'someone', 'toward', 'ltd', 'through']\n", + "318\n" + ] + } + ], + "source": [ + "vectorizer = CountVectorizer(min_df=1, stop_words='english')\n", + "print(list(vectorizer.get_stop_words())[:20])\n", + "print(len(list(vectorizer.get_stop_words())))" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "#samples: 5, #features: 18\n" + ] + } + ], + "source": [ + "X_train = vectorizer.fit_transform(posts)\n", + "num_samples, num_features = X_train.shape\n", + "print(\"#samples: %d, #features: %d\"%(num_samples, num_features))" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "New post: imaging databases\n", + "\n", + "=== Post 0 with dist=1.41: This is a toy post about machine learning. Actually, it contains not much interesting stuff.\n", + "=== Post 1 with dist=0.86: Imaging databases provide storage capabilities.\n", + "=== Post 2 with dist=0.86: Most imaging databases save images permanently.\n", + "\n", + "=== Post 3 with dist=0.77: Imaging databases store data.\n", + "=== Post 4 with dist=0.77: Imaging databases store data. Imaging databases store data. Imaging databases store data.\n", + "Best post is 3 with dist=0.77\n" + ] + } + ], + "source": [ + "find_euclidean_closest(\"imaging databases\", dist_norm, X_train)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice that post 2 is now on par with post 1, whereas before removing the stop words, it was up at .94\n", + "\n", + "##Stemming\n", + "We currently counts similar words in different variants as different words. E.g. \"imaging\" and \"images.\" **Stemming** reuces words to their specific word stem." + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "graphic\n", + "imag\n", + "imag\n", + "imagin\n", + "imagin\n", + "buy\n", + "buy\n", + "bought\n" + ] + } + ], + "source": [ + "import nltk.stem\n", + "\n", + "s = nltk.stem.SnowballStemmer('english')\n", + "print(s.stem('graphics'))\n", + "print(s.stem('imaging'))\n", + "print(s.stem('image'))\n", + "print(s.stem('imagination'))\n", + "print(s.stem('imagine'))\n", + "print(s.stem('buys'))\n", + "print(s.stem('buying'))\n", + "print(s.stem('bought'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###Extending the vectorizer with NLTK's stemmer\n" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import nltk.stem\n", + "english_stemmer = nltk.stem.SnowballStemmer('english')\n", + "class StemmedCountVectorizer(CountVectorizer):\n", + " def build_analyzer(self):\n", + " analyzer = super(StemmedCountVectorizer, self).build_analyzer()\n", + " return lambda doc: (english_stemmer.stem(w) for w in analyzer(doc))\n", + "vectorizer = StemmedCountVectorizer(min_df=1, stop_words=\"english\")" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "#samples: 5, #features: 17\n" + ] + } + ], + "source": [ + "X_train = vectorizer.fit_transform(posts)\n", + "num_samples, num_features = X_train.shape\n", + "print(\"#samples: %d, #features: %d\"%(num_samples, num_features))" + ] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "New post: imaging databases\n", + "\n", + "=== Post 0 with dist=1.41: This is a toy post about machine learning. Actually, it contains not much interesting stuff.\n", + "=== Post 1 with dist=0.86: Imaging databases provide storage capabilities.\n", + "=== Post 2 with dist=0.63: Most imaging databases save images permanently.\n", + "\n", + "=== Post 3 with dist=0.77: Imaging databases store data.\n", + "=== Post 4 with dist=0.77: Imaging databases store data. Imaging databases store data. Imaging databases store data.\n", + "Best post is 2 with dist=0.63\n" + ] + } + ], + "source": [ + "find_euclidean_closest(\"imaging databases\", dist_norm, X_train)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since the stemmed vectorizer collapses imaging and images, post 2 becomes the most similar because \"imag\" appears twice.\n", + "\n", + "###Stop words on Steroids\n", + "\n", + "* `max_df` parameter can be set to fraction, e.g. .9, so that any word that occurs in more than 90 percent of of all posts will be ignored. But how low to set it?\n", + "\n", + "* **Term frequency - inverse document frequency (TF_IDF)** - counting term frequencies for every post and discount those that appear in many posts. We want a high value for a given term in a given post if that term occurs often in that post and very seldom anywhere else.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a:\n", + "0.0\n", + "0.0\n", + "0.0\n", + "\n", + "0.270310072072\n", + "\n", + "0.135155036036\n", + "0.366204096223\n" + ] + } + ], + "source": [ + "#Naive implementation\n", + "import scipy as sp\n", + "def tfidf(term, doc, corpus):\n", + " #normalize so longer docs don't have advantage:\n", + " tf = doc.count(term) / len(doc) \n", + " num_docs_with_term = len([d for d in corpus if term in d])\n", + " idf = sp.log(len(corpus) / num_docs_with_term)\n", + " return tf * idf\n", + "\n", + "a, abb, abc = ['a'], ['a','b','b'], ['a','b','c']\n", + "D = [a, abb, abc]\n", + "print(\"a:\")\n", + "print(tfidf(\"a\", a, D))\n", + "print(tfidf(\"a\", abb, D))\n", + "print(tfidf(\"a\", abc, D))\n", + "print()\n", + "print(tfidf(\"b\", abb, D))\n", + "print()\n", + "print(tfidf(\"b\", abc, D))\n", + "print(tfidf(\"c\", abc, D))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "SciKit implements this with TfidfVectorizer, which is inherited from CountVectorizer" + ] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from sklearn.feature_extraction.text import TfidfVectorizer\n", + "import nltk.stem\n", + "english_stemmer = nltk.stem.SnowballStemmer('english')\n", + "class StemmedTfidfVectorizer(TfidfVectorizer):\n", + " def build_analyzer(self):\n", + " analyzer = super(TfidfVectorizer, self).build_analyzer()\n", + " return lambda doc: (\n", + " english_stemmer.stem(w) for w in analyzer(doc))\n", + "vectorizer = StemmedTfidfVectorizer(min_df=1,\n", + " stop_words='english', decode_error='ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "#samples: 5, #features: 17\n" + ] + } + ], + "source": [ + "X_train = vectorizer.fit_transform(posts)\n", + "num_samples, num_features = X_train.shape\n", + "print(\"#samples: %d, #features: %d\"%(num_samples, num_features))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "###So far\n", + "1. Tokenize the text\n", + " * lowercase the text\n", + " * Throw away words that only occur once (min_df=1)\n", + " * Throw away stop words\n", + " * Collapse words onto their stems\n", + "2. Toss words that occur way too often to be of any help detcting related posts\n", + "3. Toss words that occur so seldom that they probably won't appear again.\n", + "4. Count Remaining words\n", + "5. Calculate TF-IDF values from counts, considering the whole text corpus\n", + "\n", + "###Limits:\n", + "* **Does not cover word relations** \"Car hits wall\" and \"Wall hits car\" will have same feature vector\n", + "* **Does not capture negations**. This can be fixed by also counting \"bigrams\" and \"trigrams\" in addition to \"unigrams\"\n", + "* **Cannot account for misspelled words**\n", + "\n", + "#Clustering\n", + "* flat - i.e. key means. Divides posts into a set of clusters without relating the clusters to each other. Partitioning. Needs up front number of clusters.\n", + "* hierarchical - clusters get clustered recursively." + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "18846\n" + ] + }, + { + "data": { + "text/plain": [ + "['alt.atheism',\n", + " 'comp.graphics',\n", + " 'comp.os.ms-windows.misc',\n", + " 'comp.sys.ibm.pc.hardware',\n", + " 'comp.sys.mac.hardware',\n", + " 'comp.windows.x',\n", + " 'misc.forsale',\n", + " 'rec.autos',\n", + " 'rec.motorcycles',\n", + " 'rec.sport.baseball',\n", + " 'rec.sport.hockey',\n", + " 'sci.crypt',\n", + " 'sci.electronics',\n", + " 'sci.med',\n", + " 'sci.space',\n", + " 'soc.religion.christian',\n", + " 'talk.politics.guns',\n", + " 'talk.politics.mideast',\n", + " 'talk.politics.misc',\n", + " 'talk.religion.misc']" + ] + }, + "execution_count": 143, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import sklearn.datasets\n", + "all_data = sklearn.datasets.fetch_20newsgroups(subset='all')\n", + "print(len(all_data.filenames))\n", + "all_data.target_names" + ] + }, + { + "cell_type": "code", + "execution_count": 142, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3529\n" + ] + } + ], + "source": [ + "groups = ['comp.graphics', 'comp.os.ms-windows.misc',\n", + " 'comp.sys.ibm.pc.hardware','comp.sys.mac.hardware',\n", + " 'comp.windows.x','sci.space']\n", + "train_data = sklearn.datasets.fetch_20newsgroups(\n", + " subset='train', categories=groups)\n", + "print(len(train_data.filenames))" + ] + }, + { + "cell_type": "code", + "execution_count": 146, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2349\n" + ] + } + ], + "source": [ + "test_data = sklearn.datasets.fetch_20newsgroups(\n", + " subset='test', categories=groups)\n", + "print(len(test_data.filenames))" + ] + }, + { + "cell_type": "code", + "execution_count": 149, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "#samples: 3529, #features: 4712\n" + ] + } + ], + "source": [ + "vectorizer = StemmedTfidfVectorizer(\n", + " min_df=10, max_df=0.5,\n", + " stop_words='english',\n", + " decode_error='ignore')\n", + "vectorized = vectorizer.fit_transform(train_data.data)\n", + "num_samples, num_features = vectorized.shape\n", + "print(\"#samples: %d, #features: %d\"% (num_samples, num_features))" + ] + }, + { + "cell_type": "code", + "execution_count": 150, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initialization complete\n", + "Iteration 0, inertia 5899.560\n", + "Iteration 1, inertia 3218.298\n", + "Iteration 2, inertia 3184.333\n", + "Iteration 3, inertia 3164.867\n", + "Iteration 4, inertia 3152.004\n", + "Iteration 5, inertia 3143.111\n", + "Iteration 6, inertia 3136.256\n", + "Iteration 7, inertia 3129.325\n", + "Iteration 8, inertia 3124.567\n", + "Iteration 9, inertia 3121.900\n", + "Iteration 10, inertia 3120.210\n", + "Iteration 11, inertia 3118.627\n", + "Iteration 12, inertia 3117.363\n", + "Iteration 13, inertia 3116.811\n", + "Iteration 14, inertia 3116.588\n", + "Iteration 15, inertia 3116.417\n", + "Iteration 16, inertia 3115.760\n", + "Iteration 17, inertia 3115.374\n", + "Iteration 18, inertia 3115.155\n", + "Iteration 19, inertia 3114.949\n", + "Iteration 20, inertia 3114.515\n", + "Iteration 21, inertia 3113.937\n", + "Iteration 22, inertia 3113.720\n", + "Iteration 23, inertia 3113.548\n", + "Iteration 24, inertia 3113.475\n", + "Iteration 25, inertia 3113.447\n", + "Converged at iteration 25\n" + ] + }, + { + "data": { + "text/plain": [ + "KMeans(copy_x=True, init='random', max_iter=300, n_clusters=50, n_init=1,\n", + " n_jobs=1, precompute_distances='auto', random_state=3, tol=0.0001,\n", + " verbose=1)" + ] + }, + "execution_count": 150, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "num_clusters = 50\n", + "from sklearn.cluster import KMeans\n", + "km = KMeans(n_clusters=num_clusters, init='random', \n", + " n_init=1, verbose=1, random_state=3)\n", + "km.fit(vectorized)" + ] + }, + { + "cell_type": "code", + "execution_count": 151, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[38 17 47 ..., 41 14 16]\n", + "(3529,)\n" + ] + } + ], + "source": [ + "# each cluster has been assigned a label\n", + "print(km.labels_)\n", + "print(km.labels_.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Putting it all together" + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "166\n" + ] + } + ], + "source": [ + "new_post = \"\"\"\n", + "Disk drive problems. Hi, I have a problem with my hard disk.\n", + "After 1 year it is working only sporadically now.\n", + "I tried to format it, but now it doessn't boot any more.\n", + "Any ideas? Thanks.\n", + "\"\"\"\n", + "\n", + "new_post_vec = vectorizer.transform([new_post])\n", + "new_post_label = km.predict(new_post_vec)[0]\n", + "\n", + "#Now that we have a clustering and a label...\n", + "# `nonzero` makes an array of indices of nonzero numbers\n", + "similar_indices = (km.labels_==new_post_label).nonzero()[0]\n", + "\n", + "similar = []\n", + "for i in similar_indices:\n", + " dist = sp.linalg.norm(\n", + " new_post_vec - vectorized[i].toarray())\n", + " similar.append((dist, train_data.data[i]))\n", + "similar = sorted(similar)\n", + "print(len(similar))" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(1.0236597431380716,\n", + " \"From: Thomas Dachsel \\nSubject: BOOT PROBLEM with IDE controller\\nNntp-Posting-Host: sdcmvs.mvs.sas.com\\nOrganization: SAS Institute Inc.\\nLines: 25\\n\\nHi,\\nI've got a Multi I/O card (IDE controller + serial/parallel\\ninterface) and two floppy drives (5 1/4, 3 1/2) and a\\nQuantum ProDrive 80AT connected to it.\\nI was able to format the hard disk, but I could not boot from\\nit. I can boot from drive A: (which disk drive does not matter)\\nbut if I remove the disk from drive A and press the reset switch,\\nthe LED of drive A: continues to glow, and the hard disk is\\nnot accessed at all.\\nI guess this must be a problem of either the Multi I/o card\\nor floppy disk drive settings (jumper configuration?)\\nDoes someone have any hint what could be the reason for it.\\nPlease reply by email to GERTHD@MVS.SAS.COM\\nThanks,\\nThomas\\n+-------------------------------------------------------------------+\\n| Thomas Dachsel |\\n| Internet: GERTHD@MVS.SAS.COM |\\n| Fidonet: Thomas_Dachsel@camel.fido.de (2:247/40) |\\n| Subnet: dachsel@rnivh.rni.sub.org (UUCP in Germany, now active) |\\n| Phone: +49 6221 4150 (work), +49 6203 12274 (home) |\\n| Fax: +49 6221 415101 |\\n| Snail: SAS Institute GmbH, P.O.Box 105307, D-W-6900 Heidelberg |\\n| Tagline: One bad sector can ruin a whole day... |\\n+-------------------------------------------------------------------+\\n\")" + ] + }, + "execution_count": 171, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "show_at_1 = similar[0]\n", + "show_at_2 = similar[int(len(similar)/10)]\n", + "show_at_3 = similar[int(len(similar)/ 2)]\n", + "show_at_1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Another look at noise" + ] + }, + { + "cell_type": "code", + "execution_count": 175, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(245, 'From: SITUNAYA@IBM3090.BHAM.AC.UK\\nSubject: test....(sorry)\\nOrganization: The University of Birmingham, United Kingdom\\nLines: 1\\nNNTP-Posting-Host: ibm3090.bham.ac.uk\\n\\n==============================================================================\\n', 'comp.graphics')\n" + ] + } + ], + "source": [ + "post_group = zip(train_data.data, train_data.target)\n", + "all = [(len(post[0]), post[0], train_data.target_names[post[1]])\n", + " for post in post_group]\n", + "graphics = sorted([post for post in all if \n", + " post[2]=='comp.graphics'])\n", + "print(graphics[5])" + ] + }, + { + "cell_type": "code", + "execution_count": 176, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['situnaya', 'ibm3090', 'bham', 'ac', 'uk', 'subject', 'test', 'sorri', 'organ', 'univers', 'birmingham', 'unit', 'kingdom', 'line', 'nntp', 'post', 'host', 'ibm3090', 'bham', 'ac', 'uk']\n" + ] + } + ], + "source": [ + "noise_post = graphics[5][1]\n", + "analyzer = vectorizer.build_analyzer()\n", + "print(list(analyzer(noise_post)))" + ] + }, + { + "cell_type": "code", + "execution_count": 177, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['ac', 'birmingham', 'host', 'kingdom', 'nntp', 'sorri', 'test', 'uk', 'unit', 'univers']\n" + ] + } + ], + "source": [ + "useful = set(analyzer(noise_post)).intersection(\n", + " vectorizer.get_feature_names())\n", + "print(sorted(useful))" + ] + }, + { + "cell_type": "code", + "execution_count": 178, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "IDF(ac)=3.51\n", + "IDF(birmingham)=6.77\n", + "IDF(host)=1.74\n", + "IDF(kingdom)=6.68\n", + "IDF(nntp)=1.77\n", + "IDF(sorri)=4.14\n", + "IDF(test)=3.83\n", + "IDF(uk)=3.70\n", + "IDF(unit)=4.42\n", + "IDF(univers)=1.91\n" + ] + } + ], + "source": [ + "#notice that all of these idf scores are pretty low.\n", + "#also, that the highest rated have nothing to do with \n", + "#computer graphics\n", + "for term in sorted(useful):\n", + " print('IDF(%s)=%.2f'%(term,\n", + " vectorizer._tfidf.idf_[vectorizer.vocabulary_[term]]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##Further Reading:\n", + "* Python 3 Text Processing with NLTK 3 Cookbook\n", + "* [sklearn clustering docs](http://scikit-learn.org/dev/modules/clustering.html)\n", + "* sklearn metrics docs - to learn more about measuring kmeans." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.3.5" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/figure2.png b/figure2.png new file mode 100644 index 0000000000000000000000000000000000000000..33b06006fbc4f1fc299139574280243261dce36d GIT binary patch literal 12275 zcmb8V1yodR+crFulyphM&>c!6Iiv^zf`F7rC?FjI5~H9)O9_%nh=7zx4=^-HH%bpk 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