{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Data Visualization\n", "\n", "Data Visualization can refer to a lot of different things. Here, we will start with making static 2D visualizations of data.\n", "\n", "To do so, we will use the `matplotlib` package. Matplotlib is a large and well supported package that forms the basis of a lot of plotting in Python." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Data Visualization is a way to 'see' your data, for data exploration and data communication.\n", "
\n", "\n", "
\n", "Check out the matplotlib\n", "website,\n", "including their introductory \n", "tutorial,\n", "and gallery of \n", "examples.\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Import matplotlib - the main python plotting package\n", "import matplotlib.pyplot as plt\n", "\n", "# Import numpy functions for generating test data to plot\n", "import numpy as np\n", "from numpy.random import rand\n", "\n", "# This magic command plots figures directly in the notebook\n", "%matplotlib inline\n", "# This sets a higher resolution for figures\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Line graph\n", "\n", "First, we will create a simple line graph." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 248, "width": 375 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Let's create some fake data to plot\n", "x = np.arange(0, 11)\n", "y = x**2\n", "\n", "# To plot, simply pass the x and y data to the plot function\n", "plt.plot(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Without any other information, matplotlib will add a number of plotting attributes by default.\n", "\n", "For example, by default we get lines around the plot, tick marks, and axis number labels. \n", "\n", "We can customize all of these things, and add more stuff to the plot as well." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Scatter Plot\n", "\n", "Next, lets try creating a scatter plot. \n", "\n", "To do so, we can simulate two groups of data, that we want to plot together on a scatter plot to compare." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Create some Data\n", "n = 50 # n is the number of data points\n", "x = rand(n) # Randomly create x data points\n", "y1 = rand(n) # Randomly create 1st group of y data points\n", "y2 = rand(n) # Randomly create 2nd group of y data points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating a Scatter Plot\n", "\n", "The 'scatter' command works about the same as the plot command, but makes a scatter plot instead of a line. \n", "\n", "Here, we're adding another argument, `color` which specifies the color to make the points. \n", "\n", "Note there are lots of optional arguments we can add to 'plot' and 'scatter', that we will explore more later. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 248, "width": 372 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the first set of data\n", "plt.scatter(x, y1, color='blue')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 248, "width": 372 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Now, plot both sets of data together\n", "# We can do this by calling the plot call on each set of data\n", "# Subsequent plot calls, like this one, will by default plot onto the same figure\n", "plt.scatter(x, y1, color='blue')\n", "plt.scatter(x, y2, color='red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have a scatter plot!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Customizing Plots\n", "\n", "The plot above shows the data, but aesthetically there is more we could do to make it look nicer. \n", "\n", "Next up, we will replot the data, and add some customization to the plot. \n", "\n", "In the next cell, we will add lots of customization. It's a large set of code, but to explore how it all works, work through bit by bit, and try passing in different values, and see what it does to the resultant plot." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 287, "width": 391 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create a new figure\n", "# In this case we are explicitly creating the figure that we will plot to \n", "fig = plt.figure()\n", "# Add an axes to our figure\n", "# Figures can have multiple axes. This adds a single new axes to our figure\n", "ax = plt.axes()\n", "\n", "# Plot the data again\n", "ax.scatter(x, y1, color='blue', alpha=0.6, label='Group 1', s=50)\n", "ax.scatter(x, y2, color='red', alpha=0.6, label='Group 2', s=50)\n", "# Here we've added some more optional arguments:\n", "# alpha - sets the transparency of the data points\n", "# label - makes a label for the data we've plotted, which can be used in the legend\n", "# s (size) - changes the size of the dots we plot\n", "\n", "# Add a title to our graph\n", "plt.title('My Awesome Scatter Plot', fontsize=18, fontweight='bold')\n", "\n", "# Add data labels\n", "ax.set_xlabel('X Data Label', fontsize=16, fontweight='bold')\n", "ax.set_ylabel('Y Data Label', fontsize=16, fontweight='bold')\n", "\n", "# Set the ranges to plot of the x and y variables\n", "ax.set_xlim([-0.1, 1.1])\n", "ax.set_ylim([-0.1, 1.1])\n", "\n", "# Set the tick labels\n", "ax.set_xticks(np.array([0.0, 0.2, 0.4, 0.6, 0.8, 1.0]))\n", "ax.set_yticks(np.array([0.0, 0.2, 0.4, 0.6, 0.8, 1.0]))\n", "\n", "# Turn the top and right side lines off\n", "ax.spines['right'].set_visible(False)\n", "ax.spines['top'].set_visible(False)\n", "\n", "# Set the tick marks to only be on the bottom and the left. \n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.yaxis.set_ticks_position('left')\n", "\n", "# Set linewidth of remaining spines\n", "ax.spines['left'].set_linewidth(2)\n", "ax.spines['bottom'].set_linewidth(2)\n", "\n", "# Add a legend. This will use the labels you defined when you set the data.\n", "ax.legend(loc='upper left', scatterpoints=1, frameon=False)\n", "# Note that legend doesn't require any arguments\n", "# Here we optionally specifing:\n", "# 'loc' - where to put the legend\n", "# 'scatterpoints' - how many points to show in the legend \n", "# 'frameon' - whether to have a box around the legend" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figures and Axes\n", "\n", "Note that in the above example, we defined a figure object, `fig`, and an axes object, `ax`. \n", "\n", "You might also notice that sometimes we used called function from `plt`, and sometimes called methods directly on the `ax` object. \n", "\n", "So, what are these different things?\n", "\n", "- `plt` is then name we have given the imported matplotlib module\n", " - Here, whenever we are using 'plt' we are calling a function from matplotlib \n", " - By default, this gets applied to the current figure (the most recent one created)\n", "- `fig` is a variable name we have given to the figure object\n", " - A figure object is the whole figure that we are creating\n", " - We can use 'fig' (or whatever we call our figure) to access or update our figure after we have created it\n", "- `ax` is also a variable name, for the current axis\n", " - A figure can have multiple axes (though our figure above only has one)\n", " - To update a value on an axes object, you can call a `set_` method on the axes object, like we do above" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Figure(432x288)\n", "Figure(432x288) \n", "\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 'fig' is a label for the figure we are working on.\n", "# gcf() is a way to find the current figure. \n", "print(type(fig)) # Figure is an object in matplotlib\n", "print(fig) # This is the figure handle 'fig' we made before\n", "print(plt.gcf(), '\\n') # gcf grabs the current figure. In this case, current figure is same as 'fig'" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "AxesSubplot(0.125,0.125;0.775x0.755)\n" ] } ], "source": [ "# 'ax' is a name for the current axes. A figure can have many axes (figures can have subplots)\n", "print(type(ax)) # Axes is a class of variable in matplotlib\n", "print(ax) # This is the axes handle 'ax' that we made before\n", "\n", "# Note that if you need to grab the current axes, you can do so with `plt.gca()`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Keeping track of figures and axes, can be a bit confusing at first. Note that typically a lot of managing matplotlib objects objects can happen automatically. In many cases, many figures in different cells, for example, matplotlib will make new figures and axes when it needs to, without you having to explicitly specify this. \n", "\n", "Defining or accessing figure and axes objects can be useful when customizing plots, replotting things later, or for more custom or complex plotting tasks. That is, it can be useful to have a label to grab our figure, and manipulate it, if and when we need to. \n", " \n", "For example, we can get our figure back just by calling the figure object name. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 9, "metadata": { "image/png": { "height": 287, "width": 391 } }, "output_type": "execute_result" } ], "source": [ "# Redraw figure with 'fig' variable name\n", "fig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion\n", "\n", "This is only a brief introduction to the main concepts of matplotlib, that we will use throughout the rest of these materials. For much more in depth explanations and examples, visit the official documentation. " ] } ], "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }