{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "\n# Exploring normalizations\n\nVarious normalization on a multivariate normal distribution.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\nimport numpy as np\nfrom numpy.random import multivariate_normal\n\nimport matplotlib.colors as mcolors\n\n# Fixing random state for reproducibility.\nnp.random.seed(19680801)\n\ndata = np.vstack([\n    multivariate_normal([10, 10], [[3, 2], [2, 3]], size=100000),\n    multivariate_normal([30, 20], [[3, 1], [1, 3]], size=1000)\n])\n\ngammas = [0.8, 0.5, 0.3]\n\nfig, axs = plt.subplots(nrows=2, ncols=2)\n\naxs[0, 0].set_title('Linear normalization')\naxs[0, 0].hist2d(data[:, 0], data[:, 1], bins=100)\n\nfor ax, gamma in zip(axs.flat[1:], gammas):\n    ax.set_title(r'Power law $(\\gamma=%1.1f)$' % gamma)\n    ax.hist2d(data[:, 0], data[:, 1], bins=100, norm=mcolors.PowerNorm(gamma))\n\nfig.tight_layout()\n\nplt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        ".. admonition:: References\n\n   The use of the following functions, methods, classes and modules is shown\n   in this example:\n\n   - `matplotlib.colors`\n   - `matplotlib.colors.PowerNorm`\n   - `matplotlib.axes.Axes.hist2d`\n   - `matplotlib.pyplot.hist2d`\n\n"
      ]
    }
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