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@jradavenport
Created November 21, 2020 00:13
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RotationTerm for GJ1243
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# for this example, use the OLD Kepler data from Davenport+2014, but should plug into new data just fine!"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cm as cm\n",
"\n",
"from astropy.table import Table"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib\n",
"matplotlib.rcParams.update({'font.size':18})\n",
"matplotlib.rcParams.update({'font.family':'serif'})"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# lets use the old GJ 1243 data, from our Kepler-TESS paper\n",
"# https://github.com/jradavenport/gj1243_10yrs/blob/master/flare_search.ipynb\n",
"\n",
"kep_lc = pd.read_table('gj1243_master_slc.dat', sep='\\s+', skiprows=1, \n",
" names=('time', 'flux', 'error', 'detrended_flux'))\n",
"TOTDUR_KEP = len(kep_lc) * 58.0 / 60./60./24.\n",
"\n",
"kep_flares_file = 'gj1243_master_flares.tbl'\n",
"kflare = pd.read_table(kep_flares_file, sep='\\s+', comment='#',\n",
" names=('fstart', 'fstop', 'tstart', 'tstop', 'tpeak', 'trise', 'tdecay', 'fpeak', \n",
" 'ed', 'edrise', 'eddecay', 'cplx_flg', 'ppl1', 'ppl2','npts'))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# mask the flares w/ brute-force loop\n",
"is_flare = np.zeros(np.size(kep_lc['time']))\n",
"\n",
"for k in range(len(kflare['tstart'])):\n",
" xk = np.where((kep_lc['time'] >= kflare['tstart'][k]) & \n",
" (kep_lc['time'] <= kflare['tstop'][k]))[0]\n",
" if np.size(xk) > 0:\n",
" is_flare[xk] = 1"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fd4832eb7d0>]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(kep_lc['time'][is_flare == 0], kep_lc['flux'][is_flare == 0] / np.nanmedian(kep_lc['flux']))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1.01, 1.05)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(kep_lc['time'][is_flare == 0], kep_lc['flux'][is_flare == 0] / np.nanmedian(kep_lc['flux']))\n",
"plt.xlim(552,554)\n",
"plt.ylim(1.01,1.05)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fd4873f02d0>]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# ok, obviously this data needs to be chunked into months to run, let's just model the first bit\n",
"mo1 = np.where((is_flare == 0) & \n",
" (kep_lc['time'] < 567))[0]\n",
"\n",
"plt.plot(kep_lc['time'][mo1], kep_lc['flux'][mo1] / np.nanmedian(kep_lc['flux'][mo1]))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(26321,)\n"
]
}
],
"source": [
"# now let's grab the exoplanet stuff and run a GP model!\n",
"# https://github.com/jradavenport/betelgeuse/blob/master/explore_GP_v3.ipynb\n",
"import exoplanet as xo\n",
"import pymc3 as pm\n",
"import theano.tensor as tt\n",
"\n",
"KNOWNPERIOD = 0.592 # measured from lomb-scargle long ago\n",
"\n",
"XX = kep_lc['time'].values[mo1]\n",
"YY = kep_lc['flux'].values[mo1]\n",
"EE = kep_lc['error'].values[mo1]\n",
"EE = EE/np.nanmedian(YY)\n",
"YY = YY/np.nanmedian(YY)\n",
"print(XX.shape)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"optimizing logp for variables: [mix, logdeltaQ, logQ0, logperiod, logamp, logs2, mean]\n",
"203it [00:05, 38.42it/s, logp=1.666840e+05] \n",
"message: Desired error not necessarily achieved due to precision loss.\n",
"logp: -851376.5211690039 -> 166684.04217010288\n"
]
}
],
"source": [
"# based broadly on https://docs.exoplanet.codes/en/v0.2.1/tutorials/stellar-variability/\n",
"with pm.Model() as model:\n",
"\n",
" # The mean flux of the time series\n",
" mean = pm.Normal(\"mean\", mu=0.0, sd=10.0)\n",
"\n",
" # A jitter term describing excess white noise\n",
" logs2 = pm.Normal(\"logs2\", mu=2*np.log(np.min(EE)), sd=5.0)\n",
"\n",
" # The parameters of the RotationTerm kernel\n",
" logamp = pm.Normal(\"logamp\", mu=np.log(np.var(YY)), sd=5.0)\n",
" BoundedNormal = pm.Bound(pm.Normal, lower=0.0, upper=np.log(50))\n",
" logperiod = BoundedNormal(\"logperiod\", mu=np.log(KNOWNPERIOD), sd=0.1)\n",
" logQ0 = pm.Normal(\"logQ0\", mu=1.0, sd=10.0)\n",
" logdeltaQ = pm.Normal(\"logdeltaQ\", mu=2.0, sd=10.0)\n",
" mix = pm.Uniform(\"mix\", lower=0, upper=1.0)\n",
"\n",
" # Track the period as a deterministic\n",
" period = pm.Deterministic(\"period\", tt.exp(logperiod))\n",
"\n",
" # Set up the Gaussian Process model\n",
" kernel = xo.gp.terms.RotationTerm(\n",
" log_amp=logamp,\n",
" period=period,\n",
" log_Q0=logQ0,\n",
" log_deltaQ=logdeltaQ,\n",
" mix=mix\n",
" )\n",
" gp = xo.gp.GP(kernel, XX, EE**2 + tt.exp(logs2))\n",
"\n",
" # Compute the Gaussian Process likelihood and add it into the\n",
" # the PyMC3 model as a \"potential\"\n",
" pm.Potential(\"loglike\", gp.log_likelihood(YY - mean))\n",
"\n",
" # Compute the mean model prediction for plotting purposes\n",
" pm.Deterministic(\"pred\", gp.predict())\n",
"\n",
" # Optimize to find the maximum a posteriori parameters\n",
" map_soln = xo.optimize(start=model.test_point)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'mean': array(1.00238437),\n",
" 'logs2': array(-16.93015287),\n",
" 'logamp': array(-9.8521143),\n",
" 'logperiod_interval__': array(-5.70609988),\n",
" 'logQ0': array(-9.24840771),\n",
" 'logdeltaQ': array(-2.33768414),\n",
" 'mix_interval__': array(-7.14641317),\n",
" 'logperiod': array(0.01296677),\n",
" 'mix': array(0.00078706),\n",
" 'period': array(1.0130512),\n",
" 'pred': array([-0.00161059, -0.00178787, -0.00201856, ..., -0.00107178,\n",
" -0.00116092, -0.00125545])}"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"map_soln\n",
"# not sure why it's not loving the known rotation period more... but OK"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.99, 1.02)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12,5))\n",
"plt.errorbar(XX,YY, yerr=EE, linestyle='none', marker='.', alpha=0.3)\n",
"plt.plot(kep_lc['time'].values[kep_lc['time'] < 567], \n",
" kep_lc['flux'].values[kep_lc['time'] < 567]/np.nanmedian(kep_lc['flux'].values[mo1]), \n",
" c='k', alpha=0.5)\n",
"\n",
"plt.plot(XX,map_soln['pred']+map_soln['mean'],color='C1', zorder=10)\n",
"plt.xlim(551,552)\n",
"plt.ylim(.99,1.02)\n",
"\n",
"# so this model generally looks good, it's doing what we expect and goes thru the data (blue)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(26321,) (38327,)\n"
]
}
],
"source": [
"# now let's map that GP fit onto the *original* time (e.g. with the flares)\n",
"\n",
"xnew = kep_lc['time'].values[kep_lc['time'] < 567]\n",
"\n",
"print(XX.shape, xnew.shape)\n",
"# this is a marginal increase in data..."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# this equivalent code used to run in about an hour w/ SHOTerm in Celerite\n",
"with model:\n",
" mu1, var1 = xo.eval_in_model(gp.predict(xnew, return_var=True), map_soln)\n",
"# now THIS crashes my computer, running it out of hard drive space *_____* "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"plt.figure(figsize=(12,5))\n",
"plt.errorbar(XX,YY, yerr=EE, linestyle='none', marker='.', alpha=0.3)\n",
"plt.plot(kep_lc['time'].values[kep_lc['time'] < 567], \n",
" kep_lc['flux'].values[kep_lc['time'] < 567]/np.nanmedian(kep_lc['flux'].values[mo1]), \n",
" c='k', alpha=0.5)\n",
"\n",
"# plt.plot(XX,map_soln['pred']+map_soln['mean'],color='C1', zorder=10)\n",
"plt.xlim(551,552)\n",
"plt.ylim(.99,1.02)\n",
"\n",
"plt.plot(xnew, mu1+map_soln['mean'], c='C1')\n",
"plt.fill_between(xnew, mu1-np.sqrt(var1)+map_soln['mean'], \n",
" mu1+np.sqrt(var1)+map_soln['mean'], \n",
" alpha=0.4, color='C1')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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