{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Credits: Content forked from [Parallel Machine Learning with scikit-learn and IPython](https://github.com/ogrisel/parallel_ml_tutorial) by Olivier Grisel\n", "\n", "* Setting Global Parameters\n", "* Basic Plots\n", "* Histograms\n", "* Two Histograms on the Same Plot\n", "* Scatter Plots" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import pandas as pd\n", "import numpy as np\n", "import pylab as plt\n", "import seaborn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting Global Parameters" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Set the global default size of matplotlib figures\n", "plt.rc('figure', figsize=(10, 5))\n", "\n", "# Set seaborn aesthetic parameters to defaults\n", "seaborn.set()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Plots" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl8AAAFKCAYAAAAjTDqoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEREl0P8C/V5uGK0KWi4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 2, 10)\n", "\n", "plt.plot(x, x, 'o-', label='linear')\n", "plt.plot(x, x ** 2, 'x-', label='quadratic')\n", "\n", "plt.legend(loc='best')\n", "plt.title('Linear vs Quadratic progression')\n", "plt.xlabel('Input')\n", "plt.ylabel('Output');\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histograms" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1000,)\n", "float64\n", "[ 0.48756811 0.13371197 1.29475802 1.27276401 0.84200025 0.31807781\n", " 1.29201595 0.95151565 0.92594849 1.45970113 0.51045277 0.05952644\n", " 1.86811982 1.13336873 0.67854711 -0.04569935 0.81957537 0.10105231\n", " 2.12812366 1.07367205 1.65655993 0.77671841 0.73986848 0.76581992\n", " 0.99121182 1.46173837 2.12483185 0.87926929 1.50126153 0.81493593]\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAEuCAYAAAB4RZ0yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAKKU4AAIX+F+h3TgFW9ntxAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Gaussian, mean 1, stddev .5, 1000 elements\n", "samples = np.random.normal(loc=1.0, scale=0.5, size=1000)\n", "print(samples.shape)\n", "print(samples.dtype)\n", "print(samples[:30])\n", "plt.hist(samples, bins=50);\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Two Histograms on the Same Plot" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAEuCAYAAAC9NwejAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBQAAYMD/B9SZ7CiNKYZNAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "samples_1 = np.random.normal(loc=1, scale=.5, size=10000)\n", "samples_2 = np.random.standard_t(df=10, size=10000)\n", "bins = np.linspace(-3, 3, 50)\n", "\n", "# Set an alpha and use the same bins since we are plotting two hists\n", "plt.hist(samples_1, bins=bins, alpha=0.5, label='samples 1')\n", "plt.hist(samples_2, bins=bins, alpha=0.5, label='samples 2')\n", "plt.legend(loc='upper left');\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scatter Plots" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAEuCAYAAAB4RZ0yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDSeGYRiGYZgV+f8T9xHOQe+0GgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(samples_1, samples_2, alpha=0.1);\n", "plt.show()" ] }, { "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }