{ "metadata": { "name": "", "signature": "sha256:2018377c558fe3c44818bc8aef6d9146a6fcbaa10462d50eb03f34a7d8e6a879" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Single-Band Period Finding with ``gatspy``\n", "\n", "This shows an example of finding single-band periodograms for RR Lyrae data with [``gatspy``](http://github.com/jakevdp/gatspy/)\n", "\n", "We'll start by doing some preparatory imports:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# use seaborn's default plotting styles for matplotlib\n", "import seaborn; seaborn.set()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Downloading RR Lyrae Data\n", "\n", "``gatspy`` includes loaders for some convenient datasets.\n", "Here we'll take a look at some RR Lyrae light curves from [Sesar 2010](http://iopscience.iop.org/0004-637X/708/1/717/)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from gatspy.datasets import fetch_rrlyrae\n", "rrlyrae = fetch_rrlyrae()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This dataset object has an ``ids`` attribute showing the light curve ids available, and a ``get_lightcurve`` method which returns the light curve:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "len(rrlyrae.ids)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "483" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "lcid = rrlyrae.ids[0]\n", "t, y, dy, filts = rrlyrae.get_lightcurve(lcid)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's quickly visualize this data, to see what we're working with:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "for filt in 'ugriz':\n", " mask = (filts == filt)\n", " plt.errorbar(t[mask], y[mask], dy[mask], fmt='.', label=filt)\n", "plt.gca().invert_yaxis()\n", "plt.legend(ncol=3, loc='upper left');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2YLW19gPAIuD7xhj1y4uIDKHFtfVeJPLsGjfQ53KuwYC5vt6Xwx3JPPO/A75v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\nnGfVzEVERDynmrmISARpfnl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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dataset has a ``metadata`` attribute, which can tell us things like the period (as determined by Sesar 2010:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "period = rrlyrae.get_metadata(lcid)['P']\n", "period" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "0.61431831" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's fold the lightcurve on this period and re-plot the points:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "phase = t % period\n", "for filt in 'ugriz':\n", " mask = (filts == filt)\n", " plt.errorbar(phase[mask], y[mask], dy[mask], fmt='.', label=filt)\n", "plt.gca().invert_yaxis()\n", "plt.legend(ncol=3, loc='upper left');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jd3qekc3tzjpxQJpZlKo3EarSJh1xEff85MP9/Rru73f1muJOZWptpTu8AqcBu7Q1bSTt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\nrPYD7Sa4+9HiLe8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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the characteristic shape of the RR Lyrae light curve can be seen!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lomb-Scargle Fits to the Data\n", "\n", "\n", "### Lomb-Scargle Period finding\n", "We can now use the Lomb-Scargle periodogram to attempt to fit the period.\n", "We'll use the classic (single-band) version, and examine the best period for each band individually. Because of the large (~10 year) baseline, the fit takes a few seconds per band:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from gatspy.periodic import LombScargle, LombScargleAstroML\n", "# LombScargleAstroML is slightly faster than LombScargle for the simplest case\n", "# Both have the same interface.\n", "\n", "print(\"Sesar 2010:\", period)\n", "for filt in 'ugriz':\n", " mask = (filts == filt)\n", " model = LombScargleAstroML()\n", " model.optimizer.verbose = 0\n", " model.fit(t[mask], y[mask], dy[mask])\n", " print(filt + ': ', model.best_period)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Sesar 2010: 0.614318\n", "u: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.614315475771\n", "g: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.380147214241\n", "r: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.614315930309\n", "i: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.614317293926\n", "z: " ] }, { "output_type": "stream", "stream": "stdout", "text": [ " 0.614316384847\n" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that within each band, the lomb-scargle periodogram lands on the correct peak.\n", "This ``model.best_period`` hides some computation. To find the best period, the model optimizer determines the required resolution for a linear scan search, and computes the periodogram at each of these values.\n", "We can view the periodogram for each model by calling the ``periodogram`` method.\n", "We'll put this in a function for later use" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_periodogram(model, lcid):\n", " plt.figure()\n", " rrlyrae = fetch_rrlyrae()\n", " t, y, dy, filts = rrlyrae.get_lightcurve(lcid)\n", " period = rrlyrae.get_metadata(lcid)['P']\n", " \n", " periods = np.linspace(period - 0.1, period + 0.1, 2000)\n", " for i, filt in enumerate('ugriz'):\n", " mask = (filts == filt)\n", " model.fit(t[mask], y[mask], dy[mask])\n", " power = model.periodogram(periods)\n", " plt.plot(periods, i + power, lw=1, label=filt)\n", " plt.xlim(periods[0], periods[-1])\n", " plt.ylim(0, 5)\n", " plt.legend(ncol=3)\n", "\n", "plot_periodogram(LombScargle(), lcid)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wmYpRVrUSABD0DiLo6cfiNR/jx7cPHYbRVIiCwgp1RaawC7IsIOwbxuqrvgyj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iA4gVGJEI3rClYVc7ACwfGEULACwQkMqQRF0RSriBALBMcXQsEKBCcwKgGKouqfhYYVCI4nPvcK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\nJEAeoggII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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The periodogram has very narrow peaks, of width approximately $\\Delta P \\approx P^2 / T$, where $T = (t_{max} - t_{min})$ is the baseline of the measurements. For 10 years of data, the width near the 0.6 day peak turns out to be around $10^{-4}$ days (about 8 seconds), which is why we need such fine sampling of the periodogram to see the peaks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lomb-Scargle Model Fitting\n", "\n", "The Lomb-Scargle model corresponds to a single-term sinusoid fit to the data.\n", "We can plot these model fits using the ``predict()`` method.\n", "We'll encapsulate this in a function in order to reuse it below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_model(model, lcid):\n", " plt.figure()\n", " rrlyrae = fetch_rrlyrae()\n", " t, y, dy, filts = rrlyrae.get_lightcurve(lcid)\n", " period = rrlyrae.get_metadata(lcid)['P']\n", "\n", " phase = t % period\n", " tfit = np.linspace(0, period, 100)\n", " for filt in 'ugriz':\n", " mask = (filts == filt)\n", " pts = plt.errorbar(phase[mask], y[mask], dy[mask], fmt='.', label=filt)\n", " model.fit(t[mask], y[mask], dy[mask])\n", " yfit = model.predict(tfit, period=period)\n", " \n", " plt.plot(tfit, yfit, color=pts[0].get_color(), alpha=0.5)\n", " plt.gca().invert_yaxis()\n", " plt.legend(ncol=3, loc='upper left');\n", " \n", "plot_model(LombScargle(), lcid)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BVuYqvm3Hxu+iqb2gkcYNve97gWupMo1jTuN5Nt8/82MylQwznsfQ6MP8zjVv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\nz+y4SQL4rKZpX1NV9QTw31VVPalpmr7f4wQC3n0L+Sf/28/se/1+rBb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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model is clearly fairly biased: that is, it doesn't have enough flexibility to truly fit the data. We can do a bit better by adding more terms to the Fourier series with the ``Nterms`` parameter" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_model(LombScargle(Nterms=4), lcid)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WY3kUnQbfzBbncqIj1Iau6BweOsqLQ0fZ2hBndXjllG0utajHn18JkiShhsKo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\nGP1u8IZdqVA4eWLSvh7UaASlasmr0Si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c1+zD7PNfcp5Mef31aiRySc7HBnFanHR7Olf9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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model can also be used within the periodogram, using the same interface as above:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_periodogram(LombScargle(Nterms=4), lcid)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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T5Qbb1pjeWSTYr/0/7EHLttsx0vOR5TU93R/oKuO1iml9aI9W9jIK1o6OPX9Cy7bb4WHu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\nH76Poqma6OogyRNVv184Mzor7DX//htaNm6Qf69ZhaaVK3R97ijTawu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QAAAg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\nBUj3L2tBFPPM5Bg8eL30fKNyUgMuynExYbguV7k+d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IPBYDAYIaBFi/0z1AlUz9lutz8A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\n0gm1AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Supersmoother periodogram and fits\n", "\n", "The package includes the exact same interface to the SuperSmoother algorithm.\n", "Here we'll plot the periodogram and the model fits for the same data using this model.\n", "Because the interface is identical, we can simply swap-in the supersmoother model in the function from above:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from gatspy.periodic import SuperSmoother\n", "plot_periodogram(SuperSmoother(), lcid)\n", "plot_model(SuperSmoother(), lcid)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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E0bLoP1Aiu7jcfUZlqEKdLNZqLGlA/exbYTTVom3ZjyRZpDzm2pWKbeIHZbLM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\nEJjLvz2Ch5Ztlgh5tYX1m82n8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2n9nRm13/oHV3fmXK50fH3/QJt1jKUDyHrYyTJJ8fq2XNsv37OJ3J6ukI9iuB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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice and easy!" ] } ], "metadata": {} } ] }