CARMA(2, 1) model for reprocessed Kepler lightcurves

fit_carma.py

import os
import sys

import kali.carma

from kali.kepler import keplerLC
import math as math
import numpy as np
import matplotlib
matplotlib.rcParams['text.usetex'] = False


class Lightcurve(keplerLC):
    def read(self, name, band=None, path=None, ancillary=None, **kwargs):
        self.z = kwargs.get('z', 0.0)
        fileName = 'lcwerrors_' + name + '.dat'
        if path is None:
            try:
                self.path = os.environ['KEPLERDATADIR']
            except KeyError:
                raise KeyError('Environment variable "KEPLERDATADIR" not set! Please set "KEPLERDATADIR" to point \
                where all KEPLER data lives first...')
        else:
            self.path = path
        filePath = os.path.join(self.path, fileName)

        self._name = str(name)  # The name of the light curve (usually the object's name).
        self._band = str(r'Kep')  # The name of the photometric band (eg. HSC-I or SDSS-g etc..).
        self._xunit = r'$t$~(MJD)'  # Unit in which time is measured (eg. s, sec, seconds etc...).
        self._yunit = r'$F$~($\mathrm{e^{-}}$)'  # Unit in which the flux is measured (eg Wm^{-2} etc...).

        self.rawData = np.loadtxt(filePath)
        self.rawNumPts = self.rawData.shape[0]

        self._estimate_deltaT()
        self.duration = (self.rawData[-1, 0] - self.rawData[0, 0])
        self.numPts = int(math.ceil((self.rawData[-1, 0] - self.rawData[0, 0])/self.deltaT)) + 1
        self.numCadences = self.numPts - 1

        self.t = np.linspace(0, self.duration+1, self.numPts)
        self.x = np.array(self.numPts*[0.0])
        self.y = np.array(self.numPts*[0.0])
        self.yerr = np.array(self.numPts*[0.0])
        self.mask = np.array(self.numPts*[1.0])

        self._estimate_lc()

        self.t = np.require(self.t, requirements=['F', 'A', 'W', 'O', 'E'])
        self.x = np.require(self.x, requirements=['F', 'A', 'W', 'O', 'E'])
        self.y = np.require(self.y, requirements=['F', 'A', 'W', 'O', 'E'])
        self.yerr = np.require(self.yerr, requirements=['F', 'A', 'W', 'O', 'E'])
        self.mask = np.require(self.mask, requirements=['F', 'A', 'W', 'O', 'E'])

    def _estimate_lc(self):
        t = self.rawData[:, 0]
        y = self.rawData[:, 1]
        yerr = self.rawData[:, 2]
        mean = np.nanmean(y)
        for i, (low, high) in enumerate(zip(self.t[:-1], self.t[1:])):
            filt = (t >= low) & (t <= high)
            self.y[i] = np.nanmean(y[filt])
            self.yerr[i] = np.sqrt(np.nansum(yerr[filt]**2))  # still has nans in it for empty
            # cadences
        bad = np.isnan(self.y) | np.isnan(self.yerr)
        self.y[bad] = mean
        self.yerr[bad] = math.sqrt(sys.float_info[0])
        self.mask[bad] = 0.0
        self.t = self.t[:-1]
        self.y = self.y[:-1]
        self.yerr = self.yerr[:-1]
        self.mask = self.mask[:-1]
        self.x = self.x[:-1]

    def _estimate_deltaT(self):
        self.deltaT = np.min(self.rawData[1:, 0] - self.rawData[:-1, 0])

    def _statistics(self):
        """!
        \brief Set the four basic statistics - mean, std, meanerr, & stderr
        """
        count = int(np.sum(self.mask))
        y_meanSum = np.nansum(self.mask * self.y)  # use nan
        yerr_meanSum = np.nansum(self.mask * self.yerr)
        if count > 0.0:
            self._mean = y_meanSum/count
            self._meanerr = yerr_meanSum/count
        else:
            self._mean = 0.0
            self._meanerr = 0.0
        y_stdSum = np.nansum((self.mask * self.y - self._mean)**2.)
        yerr_stdSum = np.nansum((self.mask * self.yerr - self._meanerr)**2.)
        if count > 0.0:
            self._std = math.sqrt(y_stdSum/count)
            self._stderr = math.sqrt(yerr_stdSum/count)
        else:
            self._std = 0.0
            self._stderr = 0.0

if __name__ == '__main__':
    import matplotlib
    matplotlib.rcParams['text.usetex'] = False
    import matplotlib.pyplot as plt
    here = os.path.dirname(os.path.abspath(__file__))
    lc = Lightcurve(name='10645722', band='Kep',
                    path=here)
    task = kali.carma.CARMATask(2, 1, nsteps=500)

    if os.path.exists('/opt/gist/parameters.npz'):
        print("reading from file")
        task.__setstate__(**np.load('/opt/gist/task'))
    else:
        task.fit(lc)
        np.savez('/opt/gist/task', **task.__getstate__())

    from matplotlib.backends.backend_pdf import PdfPages
    with PdfPages('/opt/gist/results.pdf') as pdf:
        plt.figure()
        w = task.timescaleChain.shape[1]
        for i in xrange(w):
            plt.plot(task.timescaleChain[0, i, :], c='#000000', alpha=0.25)
        plt.plot(np.median(task.timescaleChain[0, :, ], axis=0), c='#00ffff')
        pdf.savefig()
        plt.close()

        plt.figure()
        for i in range(w):
            plt.plot(task.timescaleChain[1, i, :], c='#000000', alpha=0.25)
        plt.plot(np.median(task.timescaleChain[1, :, ], axis=0), c='#00ffff')
        pdf.savefig()
        plt.close()

        plt.figure()
        for i in range(w):
            plt.plot(task.timescaleChain[2, i, :], c='#000000', alpha=0.25)
        plt.plot(np.median(task.timescaleChain[2, :, ], axis=0), c='#00ffff')
        pdf.savefig()
        plt.close()

        plt.figure()
        for i in range(w):
            plt.plot(task.timescaleChain[3, i, :], c='#000000', alpha=0.25)
        plt.plot(np.median(task.timescaleChain[3, :, ], axis=0), c='#00ffff')
        pdf.savefig()
        plt.close()

        print(task.bestTheta)
        print(task.bestRho)
        print(task.bestTau)

        dt = 0.1
        task.set(dt, task.bestTheta)

        task.plotpsd(LC=lc, doShow=False)
        pdf.savefig()
        plt.close()

        task.plotsf(LC=lc, doShow=False)
        pdf.savefig()
        plt.close()

        task.smooth(lc)
        lc.plot()
        pdf.savefig()
        plt.close()

        task.plottriangle()
        pdf.savefig()
        plt.close()

        newLC = task.simulate(duration=1000.0)
        newLC.plot()
        pdf.savefig()
        plt.close()

lcwerrors_10645722.dat

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