{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Playing with astroML data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is just the basics with astroML, combined with an ipython notebook. These examples are shamelessly copied directly from the text. Then we'll move on to more interesting things. \n", "\n", "First, let's use the pre-built astroML function to import a sample data set from SDSS." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from astroML.datasets import fetch_imaging_sample\n", "data = fetch_imaging_sample()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How many lines does the data have?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "data.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "(330753,)" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What data is contained in each line?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "data.dtype.names[:]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "('ra',\n", " 'dec',\n", " 'run',\n", " 'rExtSFD',\n", " 'uRaw',\n", " 'gRaw',\n", " 'rRaw',\n", " 'iRaw',\n", " 'zRaw',\n", " 'uErr',\n", " 'gErr',\n", " 'rErr',\n", " 'iErr',\n", " 'zErr',\n", " 'uRawPSF',\n", " 'gRawPSF',\n", " 'rRawPSF',\n", " 'iRawPSF',\n", " 'zRawPSF',\n", " 'upsfErr',\n", " 'gpsfErr',\n", " 'rpsfErr',\n", " 'ipsfErr',\n", " 'zpsfErr',\n", " 'type',\n", " 'ISOLATED')" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To print a random sample of data. In this case the first 5 entries." ] }, { "cell_type": "code", "collapsed": false, "input": [ "data['ra'][:5]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "array([ 0.358174, 0.358382, 0.357898, 0.35791 , 0.358881])" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's do something a little more interesting. Let's make a simple color-magnitude diagram. We have to use Matplotlib now." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "from matplotlib import pyplot as plt\n", "\n", "stars = data[data['type'] == 6]\n", "\n", "plt.plot(stars['gRaw'][:400]-stars['rRaw'][:400],stars['gRaw'][:400],'r.')\n", "\n", "xlim(-1,3.5)\n", "ylim(26,14)\n", "\n", "xlabel(\"g-r\")\n", "ylabel(\"g\")\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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H9WSsqqr4JC352OqVNO+9N/kGJU++cjN/b2e9JMoYBnsKNr2eslYvXmttHyPL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\ngMGeiCgAGOyJiALg/wHVOvvVJkzZ3AAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 59 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maybe there's a bit of a main sequence there. It's a bit hard to tell because these are all field stars. \n", "\n", "Now let's make a color-color diagram." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(stars['gRaw']-stars['rRaw'],stars['rRaw']-stars['iRaw'],'r.',alpha=0.01)\n", "plt.show()\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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PfcpZKUuXOlE//XT3XkuL+zlvXlAorLXV2S+tre48mSM/c2YQebN6JAWWg58Udv/RfYzO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\nIUSCUO2XqFFJXSFEjEh1okY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"text": [ "" ] } ], "prompt_number": 80 }, { "cell_type": "markdown", "metadata": {}, "source": [ "But clearly these axes are wrong. When we zoom in:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(stars['gRaw']-stars['rRaw'],stars['rRaw']-stars['iRaw'],'r.',alpha=0.01)\n", "\n", "xlim(-1,3)\n", "ylim(-1,2.5)\n", "\n", "plt.show()\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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B0zETE+5AXV93S57679zxzU7w5OvrseNVLXKekWfhXR0eth9LCIArSGYAo19z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"text": [ "" ] } ], "prompt_number": 82 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is cluttered! Let's fix with a histogram." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from astroML.plotting import scatter_contour\n", "\n", "g = stars[\"gRaw\"]\n", "r = stars[\"rRaw\"]\n", "i = stars[\"iRaw\"]\n", "\n", "fig, ax = plt.subplots(figsize=(10,7.5))\n", "\n", "scatter_contour(g - r, r - i, threshold=200, log_counts=True, ax=ax,\n", " histogram2d_args=dict(bins=40),\n", " plot_args=dict(marker=',', linestyle='none', color='black'),\n", " contour_args=dict(cmap=plt.cm.bone))\n", "\n", "\n", "ax.set_xlim(-0.6, 2.5)\n", "ax.set_ylim(-0.6, 2.5)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hqpbqVcnDg33havLWNV1hytek89TztQhYypQUrghUHX0oJFC1Ea7yE3Iyu5Zw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\nsMN+R5+qApbrtnL5IOXSTxsuz41hRXt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"text": [ "" ] } ], "prompt_number": 88 }, { "cell_type": "markdown", "metadata": {}, "source": [ "But clearly there is a problem here. Why? The binning is too coarse. Let's see if we can fix this. What happens when we increase the number of bins from 40 to 200?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "from astroML.plotting import scatter_contour\n", "\n", "g = stars[\"gRaw\"]\n", "r = stars[\"rRaw\"]\n", "i = stars[\"iRaw\"]\n", "\n", "fig, ax = plt.subplots(figsize=(10,7.5))\n", "\n", "scatter_contour(g - r, r - i, threshold=200, log_counts=True, ax=ax,\n", " histogram2d_args=dict(bins=200),\n", " plot_args=dict(marker=',', linestyle='none', color='black'),\n", " contour_args=dict(cmap=plt.cm.bone))\n", "\n", "\n", "ax.set_xlim(-0.6, 2.5)\n", "ax.set_ylim(-0.6, 2.5)\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IwCDiycaekVSPsmgpVSMQtT/LPqbWfWMeu6X0kbs9VbBV3uT+yiuvlFJKecMb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