diff --git a/examples/ACFExample.ipynb b/examples/ACFExample.ipynb new file mode 100644 index 0000000..705fc38 --- /dev/null +++ b/examples/ACFExample.ipynb @@ -0,0 +1,389 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:f1873ef284d4fd7cd703dd6cc70b4fcadacc64355b44420d7745e672762e2365" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Using the autocorrelation function to find a periodic signal\n" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%matplotlib inline\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# use seaborn for matplotlib settings\n", + "import seaborn; seaborn.set()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 1 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Standard ACF\n", + "The first exmple data we will use will be Q1-Q15 photometry of KOI-63. We're using Kepler data as the example because the standard ACF requires evenly-sampled data. This data is pre-conditioned to have no gaps (gaps have been set to zero)." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "data = np.load('koi63.npy')\n", + "t, y = (data[:,0], data[:,1])\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(t, y, 'o', ms=0.5);\n", + "ax.set_xlabel('MJD')\n", + "ax.set_ylabel('flux')\n", + "ax.set_title('KOI-63');" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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YwO8Vi8U70u97PxkThFGS2cYFmkwpbGYm4nBcD6VKA0fn/Il5typzw4DY4lHM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\nKrhTHU7EphEXC7Ot4YP5DkWvOg1N5TLp4Do1DVrbM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+ "text": [ + "" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# add up-directory to Python path\n", + "import sys, os; sys.path.append(os.path.abspath('..'))\n", + "from periodogram.acf import ACF" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "model = ACF(maxlag=30).fit(t,y)\n", + "\n", + "periods = np.linspace(0.1, 30, 1000)\n", + "scores = model.score(periods)\n", + "\n", + "plt.plot(periods, scores, label='standard');\n", + "\n", + "plt.legend()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 10, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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WyzUCkViSpXiKvk7XK/alqcm3qn3SqPNkG8kcORHEZZi8/+Kw1r2qVsQ+rR6xV6tD7NPq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\nnQFGg5GiTII7NpwdJSpXaXKZQFBNVIVYl7vWem4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+ "text": [ + "" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "model.period_search()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 6, + "text": [ + "5.2718590692384169" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##ACF estimation techniques; non-evenly sampled data\n", + "\n", + "To demonstrate the Scargle (1989) and Edelson-Krolik methods, we'll pull some data from AstroML. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from astroML.datasets import fetch_LINEAR_sample\n", + "data = fetch_LINEAR_sample()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 11 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "lcid = 10022663\n", + "t, y, dy = data[lcid].T\n", + "fig, ax = plt.subplots()\n", + "ax.errorbar(t, y, dy, fmt='o');\n", + "ax.invert_yaxis()\n", + "ax.set_xlabel('MJD')\n", + "ax.set_ylabel('magnitude')\n", + "ax.set_title('LINEAR object {0}'.format(lcid));" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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DQBMwYTD3wYPHqtnMPNZantp3KC/Jgqe+O3zsDJ/4wr+yoWdJw9zE3d3tkfWz4CF9HD1x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\nNmj58akiZYiFSKk0L/xUVrUTrRRKiaQjuXTlHAi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+ "text": [ + "" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "model_scargle = ACF(maxlag=5, method='scargle', omega_max=100, n_omega=1e4, smooth=0.05).fit(t,y)\n", + "model_EK = ACF(maxlag=5, method='EK').fit(t,y)\n", + "\n", + "periods = np.linspace(0.1, 5, 1000)\n", + "scores_scargle = model_scargle.score(periods)\n", + "scores_EK = model_EK.score(periods)\n", + "\n", + "plt.plot(periods, scores_scargle);\n", + "plt.figure()\n", + "plt.plot(periods, scores_EK);" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "/Users/tdm/anaconda/lib/python2.7/site-packages/numpy/core/numeric.py:183: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", + " a = empty(shape, dtype, order)\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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cYLcZcBPvA7b1pCeIzS4WP5RhbrH4FCwAzqxktyXoei8/A9kZcP4X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\nMnpxDdg9+4DpxLJBHGXuA87ehmRwFjQRUSl8f9d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+ " nan, nan, nan, nan, nan,\n", + " nan, nan, 0.00298316, nan, 0.00383906,\n", + " 0.00326027, 0.00306178, 0.00342613, 0.00512629])" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/examples/ACF_scargle_EK_test.ipynb b/examples/ACF_scargle_EK_test.ipynb new file mode 100644 index 0000000..80e7429 --- /dev/null +++ b/examples/ACF_scargle_EK_test.ipynb @@ -0,0 +1,211 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:102a0ea69924282218dba00a2765b10bca855592f983944508b8254b3b9c2107" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%matplotlib inline\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# use seaborn for matplotlib settings\n", + "import seaborn; seaborn.set()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# add up-directory to Python path\n", + "import sys, os; sys.path.append(os.path.abspath('..'))\n", + "from periodogram.acf import ACF" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "/Users/tdm/anaconda/lib/python2.7/site-packages/astroML/time_series/periodogram.py:8: UserWarning: Using slow version of lomb_scargle. Install astroML_addons to use an optimized version\n", + " warnings.warn(\"Using slow version of lomb_scargle. Install astroML_addons \"\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def make_sine(N=1000, P=100, err=0.05, rseed=None, even=True):\n", + " rng = np.random.RandomState(rseed)\n", + "\n", + " if even:\n", + " t = np.arange(N) #evenly-sampled data\n", + " else:\n", + " t = np.sort(rng.rand(N)*N)\n", + " y = np.ones(len(t))\n", + " \n", + " y *= np.sin(2*np.pi*t/P)\n", + " y += rng.randn(N)*err\n", + " \n", + " return t,y" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "t,y = make_sine(N=1000, P=100, even=False)\n", + "a = ACF(method='scargle', omega_max=10, smooth=5) #median- and gaussian-smoothed b/c of crazy peaks.\n", + "a.fit(t,y)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 5, + "text": [ + "" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.subplot(121)\n", + "plt.plot(t,y,'.')\n", + "plt.subplot(122)\n", + "plt.plot(a.lag,a.ac)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 6, + "text": [ + "[]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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6aR1TY0kMp1vzyfumMiiUalheLwW+rzyjaholNRgDQfATwnrCcN/7x99EtQ7U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+ "text": [ + "" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "So this is a bit odd; I would have expected there to be a maximum at lag $t=100$, not a minimum. Could there be some sign bug in the ACF_scargle code somewhere? Or is this supposed to be inverted? Also funny that the peaks are of increasing height. Is this just a quirk of the method?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, let's check out the EK method:" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "t,y = make_sine(N=1000, P=100, even=False)\n", + "a_EK = ACF(method='EK', smooth=5) #median- and gaussian-smoothed b/c of crazy peaks.\n", + "a_EK.fit(t,y)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 7, + "text": [ + "" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plt.subplot(121)\n", + "plt.plot(t,y,'.')\n", + "plt.subplot(122)\n", + "plt.plot(a_EK.lag,a_EK.ac)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 8, + "text": [ + "[]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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CbClkjuU81ptdDBJ43liucxSkgrgNwxjro3zvfEVICtNd3/vQwiix6thhu41m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+ "text": [ + "" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This looks good!" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/examples/koi63.npy b/examples/koi63.npy new file mode 100644 index 0000000..3cb79f6 Binary files /dev/null and b/examples/koi63.npy differ diff --git a/periodogram/acf.py b/periodogram/acf.py new file mode 100755 index 0000000..a60ce47 --- /dev/null +++ b/periodogram/acf.py @@ -0,0 +1,194 @@ +""" +Autocorrelation function for models of periodic sources +""" + +from __future__ import print_function,division +import numpy as np +import matplotlib.pyplot as plt + +from scipy.interpolate import UnivariateSpline as interpolate +from scipy.ndimage.filters import gaussian_filter, median_filter + +import logging + +import acor +from astroML.time_series import ACF_scargle, ACF_EK + +from .findpeaks import peakdetect +from .base import PeriodicModeler + +class ACF(PeriodicModeler): + """ + Autocorrelation function for periodic modeling. + + Parameters + ---------- + + maxlag : float (optional) + Maximum period to search for. If not provided, then will + default to 1/2 data span. + + method : 'standard', 'scargle' or 'EK' (optional) + Method to use to calculate ACF. If standard is chosen + then data must be evenly sampled. + + smooth : float (optional) + Timescale over which to smooth ACF. + For 'standard' or 'EK' method, this will run a gaussian filter with + given width over the acf; for 'scargle' it will first median-smooth, + then gaussian-smooth. + + n_omega, omega_max : int, float (optional) + Passed to ``astroML.time_series.ACF_scargle`` + + bins : int or array_like (optional) + Passed to ``astroML.time_series.ACF_EK``; time bins in which to calculate + ACF + """ + + def __init__(self, maxlag=None, method='standard', + smooth=None, + n_omega=2**12, omega_max=20, bins=None): + + self.maxlag = maxlag + self.smooth = smooth + + if method not in ['standard','scargle','EK']: + raise ValueError('Unrecognized method {}'.format(method)) + self.method = method + + if self.method=='scargle': + self.n_omega = n_omega + self.omega_max = omega_max + elif self.method=='EK': + self.bins = bins + + self.power_fn = None + + def fit(self, t, y, dy=None): + """Data must be evenly sampled. + """ + + self.t = np.atleast_1d(t) + self.y = np.atleast_1d(y) + self.dy = dy #ignored + + #set default max lag to be 1/2 total span of observation, if not otherwise set + if self.maxlag is None: + maxlag = (self.t[-1] - self.t[0])/2. + else: + maxlag = self.maxlag + + if self.method=='standard': + #TODO: add test to make sure data is evenly sampled + + self.cadence = np.median(self.t[1:] - self.t[:-1]) + + n_maxlag = int(maxlag/self.cadence) + self.ac = acor.function(self.y, n_maxlag) + self.lag = np.arange(n_maxlag) * self.cadence + + elif self.method=='scargle': + if dy is None: + dy = 1 + + ac, lag = ACF_scargle(t, y, dy, + n_omega=self.n_omega, + omega_max=self.omega_max) + #print(ac,lag) + ind = (lag >= 0) & (lag <= maxlag) + self.ac = ac[ind] + self.lag = lag[ind] + + elif self.method=='EK': + if dy is None: + dy = 1 + + if self.bins is None: + bins = np.linspace(0, maxlag, 500) + elif type(self.bins) is int: + bins = np.linspace(0,maxlag,self.bins) + else: + bins = self.bins + ac, ac_err, bins = ACF_EK(t, y, dy, bins=bins) + + lag = 0.5 * (bins[1:] + bins[:-1]) + ind = (lag >=0) & (lag <= maxlag) + self.ac = ac[ind] + self.lag = lag[ind] + self.ac_err = ac_err[ind] + + if self.smooth is not None: + if self.method == 'EK': + dlag = self.lag[1]-self.lag[0] #assuming evenly spaced bins + kern_width = self.smooth//dlag + self.ac = gaussian_filter(self.ac, kern_width) + if self.method=='standard': + kern_width = self.smooth / self.cadence + self.ac = gaussian_filter(self.ac, kern_width) + if self.method=='scargle': + #median smooth first, because you can get crazy spikes, + # then gaussian-smooth + dlag = self.lag[1]-self.lag[0] #assuming evenly spaced bins + kern_width = self.smooth//dlag + self.ac = median_filter(self.ac, kern_width) + self.ac = gaussian_filter(self.ac, kern_width) + + + + try: + self.power_fn = interpolate(self.lag, self.ac, s=0, k=1) + except: + print('Error generating interpolation function: {}, {}'.format(self.lag, self.ac)) + + return self + + def score(self, period): + """Compute the score for a period or array of periods""" + if self.power_fn is None: + raise RuntimeError('Must fit before calculating score') + + return self.power_fn(period) + + + def period_search(self, lookahead=5): + """Finds most promising peak; returns as best period. + """ + + peaks, lphs, hts = peaks_and_lphs(self.ac, self.lag, return_heights=True, + lookahead=lookahead) + + #Return first peak, unless second peak is more than 5% higher (arbitrary, granted) + if lphs[1] > 1.05*lphs[0]: + logging.warning('ACF period_search: second peak ({0[1]}) is more than 5% higher than first ({0[0]}); using second'.format(lphs)) + return peaks[1] + + else: + return peaks[0] + + + +def peaks_and_lphs(y, x=None, lookahead=5, return_heights=False): + """Returns locations of peaks and corresponding "local peak heights" + """ + if x is None: + x = np.arange(len(y)) + + maxes, mins = peakdetect(y, x, lookahead=lookahead) + maxes = np.array(maxes) + mins = np.array(mins) + + #logging.debug('maxes: {}'.format(maxes)) + + #calculate "local heights". First will always be a minimum. + try: #this if maxes and mins are same length + lphs = np.concatenate([((maxes[:-1,1] - mins[:-1,1]) + (maxes[:-1,1] - mins[1:,1]))/2., + np.array([maxes[-1,1]-mins[-1,1]])]) + except ValueError: #this if mins have one more + lphs = ((maxes[:,1] - mins[:-1,1]) + (maxes[:,1] - mins[1:,1]))/2. + + if return_heights: + return maxes[:,0], lphs, maxes[:,1] + else: + return maxes[:,0], lphs + diff --git a/periodogram/tests/test_acf.py b/periodogram/tests/test_acf.py new file mode 100644 index 0000000..4abcf6c --- /dev/null +++ b/periodogram/tests/test_acf.py @@ -0,0 +1,38 @@ +import numpy as np +from numpy.testing import assert_allclose, assert_array_less, assert_equal + +import logging + +import matplotlib.pyplot as plt + +from ..acf import ACF + +def make_sine(N=1000, P=100, err=0.05, rseed=None, even=True): + rng = np.random.RandomState(rseed) + + if even: + t = np.arange(N) #evenly-sampled data + else: + t = np.sort(rng.rand(N)*N) + y = np.ones(len(t)) + + y *= np.sin(2*np.pi*t/P) + y += rng.randn(N)*err + + return t,y + +def test_single_sine_standard(P=100): + t,y = make_sine(P=P) + a = ACF() + a.fit(t,y) + pbest = a.period_search() + assert_allclose(pbest, P, 0.01) + +## TODO +#def test_single_sine_scargle(P=100): +# t,y = make_sine(P=P, even=False) +# a = ACF(method='scargle') +# a.fit(t,y) +# pbest = a.period_search() +# assert_allclose(pbest, P, 0.01) + diff --git a/periodogram/timeseries.py b/periodogram/timeseries.py index 42d9c72..5d0e930 100644 --- a/periodogram/timeseries.py +++ b/periodogram/timeseries.py @@ -6,6 +6,9 @@ import numpy as np import matplotlib.pyplot as plt +from .lomb_scargle import LombScargle +from .supersmoother import SuperSmoother + class TimeSeries(object): def init(self, t, f, df=None, mask=None, band=None): @@ -61,7 +64,7 @@ def f(self): def df(self): return self._df[~self._mask] - def add_perodic_model(self, model, *args, **kwargs): + def fit_periodic_model(self, model, *args, **kwargs): """Connects and fits PeriodicModeler object Parameters @@ -71,6 +74,11 @@ def add_perodic_model(self, model, *args, **kwargs): args, kwargs passed on to PeriodicModeler """ + if model=='supersmoother': + model = SuperSmoother(*args,**kwargs) + elif model=='lomb-scargle': + model = LombScargle(*args,**kwargs) + m = model(*args,**kwargs) m.fit(self.t, self.f, self.df)