{ "metadata": { "name": "", "signature": "sha256:c473591c3617dc3ec8a8a5c88034a99a6d5371ced3576cf6110b6bf64cbc6228" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Interactive data visualization in the notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this part, we will see several options to create interactive plots in the notebook." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making matplotlib figures interactive in the notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [**mpld3**](http://mpld3.github.io) library allows you to make your matplotlib figures interactive in the notebook. It leverages the JavaScript visualization library [**d3.js**](http://d3js.org/) by converting a matplotlib figure into an abstract representation that is understood by d3.js." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We import NumPy and matplotlib as usual. We also need to activate matplotlib's inline backend in the notebook." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we import mpld3. If this fails, type in a terminal: `pip install mpld3`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import mpld3\n", "mpld3.enable_notebook()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "All we have to do now is create a normal matplotlib plot. It will show up directly in the notebook as an interactive figure." ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 100\n", "scatter = plt.scatter(np.random.normal(size=N),\n", " np.random.normal(size=N),\n", " c=np.random.random(size=N),\n", " s=1000 * np.random.random(size=N),\n", " alpha=0.3,\n", " cmap=plt.cm.jet)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "
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ZuVyO//gfv8TrPYvF8uqdbLLZBAbDNH/7t29/Te79QhdwnR0pl8ssLi0yuzKB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aFDfN3zoEpl3H4nlkdypLrexCSJiOLWKLCu1smm0zQrFSJWG1OzOWauJ/jg3R4kSUSt1ajMzlJo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\nAArMTdzl8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