{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# scientific Python environment test\n", "This is a short test Jupyter notebook to make sure that you have a working Python environment capable of running all of the main packages we'll be using in the [Intro to Data Science in Python](http://github.com/tyarkoni/SSI2016) course at the [UT 2016 Summer Statistics Institute](https://stat.utexas.edu/training/ssi).\n", "\n", "\n", "### Package imports\n", "We'll begin by importing a few of the key packages we'll be working with. If you get an error while running the next code cell, you're probably missing the package in question. Assuming you've installed the [Anaconda distribution](https://www.continuum.io/downloads), obtaining the missing package should be as simple as running the following from the command line:\n", "\n", "> conda install [packagename]\n", "\n", "If that doesn't work, try:\n", "\n", "> pip install [packagename]\n", "\n", "If that still doesn't work, try consulting the oracles of Stack Overflow and/or Google, or shoot me an [email](mailto:tyarkoni@gmail.com).\n", "\n", "Most of the packages used in this notebook should be installed with Anaconda by default. The exceptions are scikit-learn, seaborn and statsmodels, which you can install from the command line with conda or pip as shown above (e.g., `conda install scikit-learn`)." ] }, { "cell_type": "code", "execution_count": 237, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Import the main elements of the Python scientific computing stack\n", "import numpy as np\n", "import scipy as sp\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import sklearn as skl\n", "import seaborn as sns\n", "import statsmodels as sm\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Taking scientific Python for a spin\n", "If the imports above went okay, the rest of the notebook should run without any problems. Everything from here on out is just meant to give you a taste of a few of the things we'll be covering in the course. I won't explain very much here, but rest assured that we'll cover all of this stuff (and much more) in detail, so don't worry if much of this seems incomprehensible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Basic data manipulation\n", "Some very simple array creation and manipulation calls in numpy, along with basic plotting using matplotlib." ] }, { "cell_type": "code", "execution_count": 238, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.89 1.74 -1.18 0.09 -0.36 -0.4 -0.23 -1.44 0.43 2.3 ]\n", " [-0.12 0.02 0.27 -0.11 1.01 -1.44 0.98 1.38 -0.23 0.48]\n", " [-1.27 0.27 2.14 0.48 0.25 -1.08 -2.38 -0.44 -2.07 -1.3 ]]\n" ] } ], "source": [ "## Create a random 100 x 10 array in numpy\n", "a = np.random.normal(size=(100, 10))\n", "\n", "# Print the first 3 rows. Just a bunch of meaningless numbers...\n", "print(a[:3])" ] }, { "cell_type": "code", "execution_count": 239, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEDCAYAAAA4FgP0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+f8Q0r3BkZvSUwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Or something a little more orderly.\n", "b = np.linspace(0, 100, num=1000)\n", "\n", "# Reshape into a 2d array and add the a matrix in as noise\n", "b = np.reshape(b, (10, 100)) + a.T\n", "\n", "# Plot each row\n", "for i in range(10):\n", " plt.plot(b[i, :], lw=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Pandas DataFrames\n", "Pandas DataFrames are basically numpy arrays with labels (and a bunch of other useful functionality). They resemble R's native data frames. Here we load the famous \"Iris\" dataset using the data-loading utilities in seaborn." ] }, { "cell_type": "code", "execution_count": 240, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 240, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Load iris\n", "df = sns.load_dataset(\"iris\")\n", "\n", "# Inspect the returned pandas DataFrame\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Visual data exploration using seaborn\n", "Let's get a better sense of what's going on with our data. We can use the Seaborn package, which generates beautiful, informative plots with very little code. The pairplot lets us look at bivariate relationships for each pair of variables, broken down separately by iris species." ] }, { "cell_type": "code", "execution_count": 241, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.5/site-packages/matplotlib/__init__.py:892: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n", " warnings.warn(self.msg_depr % (key, alt_key))\n", "/usr/local/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", " y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAycAAALLCAYAAADjWP3kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOfDEthBn/wEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = sns.load_dataset('iris')\n", "pp = sns.pairplot(df, hue='species', diag_kind='kde')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Simple regression\n", "For people coming from an R background, you can still have your formula-based model-fitting syntax using the `statsmodels` package." ] }, { "cell_type": "code", "execution_count": 242, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: sepal_length R-squared: 0.859
Model: OLS Adj. R-squared: 0.856
Method: Least Squares F-statistic: 295.5
Date: Fri, 20 May 2016 Prob (F-statistic): 8.59e-62
Time: 12:01:13 Log-Likelihood: -37.321
No. Observations: 150 AIC: 82.64
Df Residuals: 146 BIC: 94.69
Df Model: 3
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [95.0% Conf. Int.]
Intercept 1.8560 0.251 7.401 0.000 1.360 2.352
sepal_width 0.6508 0.067 9.765 0.000 0.519 0.783
petal_length 0.7091 0.057 12.502 0.000 0.597 0.821
petal_width -0.5565 0.128 -4.363 0.000 -0.809 -0.304
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 0.345 Durbin-Watson: 2.060
Prob(Omnibus): 0.842 Jarque-Bera (JB): 0.504
Skew: 0.007 Prob(JB): 0.777
Kurtosis: 2.716 Cond. No. 54.7
" ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: sepal_length R-squared: 0.859\n", "Model: OLS Adj. R-squared: 0.856\n", "Method: Least Squares F-statistic: 295.5\n", "Date: Fri, 20 May 2016 Prob (F-statistic): 8.59e-62\n", "Time: 12:01:13 Log-Likelihood: -37.321\n", "No. Observations: 150 AIC: 82.64\n", "Df Residuals: 146 BIC: 94.69\n", "Df Model: 3 \n", "Covariance Type: nonrobust \n", "================================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "--------------------------------------------------------------------------------\n", "Intercept 1.8560 0.251 7.401 0.000 1.360 2.352\n", "sepal_width 0.6508 0.067 9.765 0.000 0.519 0.783\n", "petal_length 0.7091 0.057 12.502 0.000 0.597 0.821\n", "petal_width -0.5565 0.128 -4.363 0.000 -0.809 -0.304\n", "==============================================================================\n", "Omnibus: 0.345 Durbin-Watson: 2.060\n", "Prob(Omnibus): 0.842 Jarque-Bera (JB): 0.504\n", "Skew: 0.007 Prob(JB): 0.777\n", "Kurtosis: 2.716 Cond. No. 54.7\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "execution_count": 242, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Linear regression using R-like syntax in statsmodels.\n", "# We regress sepal length on the other features.\n", "import statsmodels.formula.api as smf\n", "mod = smf.ols(formula='sepal_length ~ sepal_width + petal_length + petal_width', data=df)\n", "res = mod.fit()\n", "res.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Classification\n", "Let's do some very basic machine learning. We'll use a support vector machine to predict the species of each individual iris in our dataset from the observed sepal and petal variables." ] }, { "cell_type": "code", "execution_count": 243, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Classification analysis in scikit-learn. We assign labels to\n", "# the individual iris observations based on petal width,\n", "# sepal length, etc. -- holding out the true labels.\n", "from sklearn.svm import SVC\n", "np.random.seed(100) # Hack to make sure we get labels in the desired order\n", "k = 3 # Number of clusters we want\n", "# Exclude the ground truth from the feature space\n", "X = df[['sepal_length', 'sepal_width', 'petal_length', 'petal_width']]\n", "y = df['species']\n", "# We'll set C too low to get more errors, for visualization purposes\n", "clst = SVC(kernel='linear', C=0.0001)\n", "df['labels'] = clst.fit(X, y).predict(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can visualize the results by picking a pair of random features and comparing the ground truth to the model's predicted labels." ] }, { "cell_type": "code", "execution_count": 244, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnIAAAFUCAYAAACgM9EjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wfzKUxXAPLohAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's visualize the classifier results.\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n", "palette = sns.husl_palette(k)\n", "\n", "# Plot ground truth on the left\n", "c = 0 # Use a counter instead of vectorizing so it's clear what we're doing\n", "for name, g in df.groupby('species'):\n", " g.plot(kind='scatter', x='sepal_length', y='petal_width',\n", " ax=axes[0], color=palette[c], title='Ground truth')\n", " c += 1\n", "\n", "# Plot classifier labels on the right\n", "c = 0\n", "for name, g in df.groupby('labels'):\n", " g.plot(kind='scatter', x='sepal_length', y='petal_width',\n", " ax=axes[1], color=palette[c], title='Classifier labels')\n", " c += 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How many cases did the classifier label correctly?" ] }, { "cell_type": "code", "execution_count": 245, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K-means clustering accuracy: 0.92\n" ] } ], "source": [ "# Print classifier accuracy... not too shabby!\n", "from sklearn.metrics import accuracy_score\n", "acc = accuracy_score(df['species'], df['labels'])\n", "print(\"K-means clustering accuracy: {:.2f}\".format(acc))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "92% accuracy seems pretty good. But let's see if we can learn something about where the classifier went wrong by looking at the confusion matrix. (We're adapting some code from the scikit-learn docs here.)" ] }, { "cell_type": "code", "execution_count": 246, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 246, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWMAAAE8CAYAAAAVGtDDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGvj/ocrsdtDMkUgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import confusion_matrix\n", "cm = confusion_matrix(df['species'], df['labels'])\n", "\n", "plt.imshow(cm, interpolation='nearest', cmap='Reds')\n", "plt.title(\"Confusion matrix\")\n", "plt.colorbar()\n", "species = df['species'].unique()\n", "tick_marks = np.arange(3)\n", "plt.xticks(tick_marks, species, rotation=45)\n", "plt.yticks(tick_marks, species)\n", "plt.ylabel('True label')\n", "plt.xlabel('Predicted label')" ] } ], "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": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }