{ "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/SSI2017) course at the [UT 2018 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 (`conda install scikit-learn seaborn statsmodels` should do the trick)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "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": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.03210416 1.16682217 -0.13546868 1.61767289 0.4419585 0.70892468\n", " 0.13261804 0.40231706 0.11165011 -0.43480962]\n", " [-1.12354961 1.16102916 0.31535874 -0.84087629 0.20162772 0.13585629\n", " -0.31580179 -1.89359577 -1.14806239 -0.68403041]\n", " [-1.74955722 -0.69399493 1.04985644 -2.09506142 1.9485194 -0.59423296\n", " -0.26189765 0.60421443 1.04256802 0.5814424 ]]\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": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "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": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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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
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" ], "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": 4, "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": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/tal/miniconda3/envs/base/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" ] }, { "data": { "image/png": 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\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": 6, "metadata": {}, "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: Tue, 21 May 2019 Prob (F-statistic): 8.59e-62
Time: 10:53:27 Log-Likelihood: -37.321
No. Observations: 150 AIC: 82.64
Df Residuals: 146 BIC: 94.69
Df Model: 3
Covariance Type: nonrobust
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coef std err t P>|t| [0.025 0.975]
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
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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


Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified." ], "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: Tue, 21 May 2019 Prob (F-statistic): 8.59e-62\n", "Time: 10:53:27 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| [0.025 0.975]\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": 6, "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": 7, "metadata": {}, "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": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\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": 9, "metadata": {}, "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": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 1 }