{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# KIC 6780873" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "%run setup.py" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "t, y = np.loadtxt('../data/6780873_lc.txt', usecols=(0,1)).T" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "time, flux = t, (y-1)*1e3\n", "freq = np.array([14.18764198, 13.43633836])\n", "weights = np.array([1.73064022, 0.97161184])\n", "plt.plot(time, flux)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "period_guess, a_guess = 9.159, 18" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Periodogram" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "pg = ms.period_search()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true, "jupyter": { "outputs_hidden": true } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 200/200 [06:04<00:00, 1.82s/it]\n", "100%|██████████| 200/200 [05:39<00:00, 1.70s/it]\n" ] } ], "source": [ "periods = np.linspace(2, 20, 200)\n", "results = pg.fit(periods)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ys = np.array([[r[0] for r in row] for row in results])\n", "sm = np.sum(ys, axis=0)\n", "period_ind = np.argmax(sm)\n", "plt.plot(periods, -sm);" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "def get_phase(nu, t, y):\n", " arg = 2*np.pi*nu[None, :]*t[:, None]\n", " D = np.concatenate((np.sin(arg), np.cos(arg),\n", " np.ones((len(t), 1))), axis=1)\n", " DT = D.T\n", " DTD = np.dot(DT, D)\n", " w = np.linalg.solve(DTD, np.dot(D.T, y))\n", " return np.arctan2(w[:len(nu)], w[len(nu):2*len(nu)]) / (2*np.pi*nu)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 583/583 [00:00<00:00, 2957.31it/s]\n" ] } ], "source": [ "import tqdm\n", "t0s = np.arange(time.min(), time.max(), 2.5)\n", "phases = np.empty((len(t0s)-1, len(freq)))\n", "phases[:] = np.nan\n", "for i, t0 in tqdm.tqdm(enumerate(t0s[:-1]), total=len(t0s)-1):\n", " m = (t0 <= time) & (time < t0s[i+1])\n", " if m.sum() < 100:\n", " continue\n", " phases[i] = get_phase(freq, time[m], flux[m])\n", " \n", "# phases -= np.nanmean(phases, axis=0)\n", "full = np.mean(phases, axis=1)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'power')" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "m = np.isfinite(phases[:, 0])\n", "res = xo.estimators.lomb_scargle_estimator(t0s[:-1][m], full[m], min_period=7, max_period=25)\n", "f, p = res[\"periodogram\"]\n", "period_guess = res['peaks'][0]['period']\n", "plt.plot(1 / f, p)\n", "plt.axvline(res[\"peaks\"][0][\"period\"], color=\"k\")\n", "plt.xlabel(\"period\")\n", "plt.ylabel(\"power\")" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "uHz_conv = 1e-6 * 24 * 60 * 60\n", "tds = []\n", "for freq, phase in zip(ms.freq, phases[m].T):\n", " phase = np.unwrap(phase)\n", " phase -= np.mean(phase)\n", " td = phase / (2*np.pi*(freq / uHz_conv * 1e-6))\n", " tds.append(td)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(9.160772403859214, 15.229837526132492)" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "##### period_guess = res[\"peaks\"][0][\"period\"]\n", "arg = 2*np.pi*t0s[:-1][m]/period_guess\n", "D = np.concatenate((np.sin(arg)[:, None],\n", " np.cos(arg)[:, None],\n", " np.ones((len(phases[m]), 1))), axis=-1)\n", "w = np.linalg.solve(np.dot(D.T, D), np.dot(D.T, phases[m, 0]))\n", "a_guess = np.sqrt(np.sum(w[:2]**2)) * 86400\n", "period_guess, a_guess" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Subdividing" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: AstropyDeprecationWarning: Importing LombScargle from astropy.stats has been deprecated and will no longer be supported in future. Please import this class from the astropy.timeseries module instead [astropy.stats.lombscargle]\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.ndimage import gaussian_filter\n", "from maelstrom.utils import amplitude_spectrum\n", "y_low = gaussian_filter(y,1.8)\n", "y_high = y - y_low\n", "\n", "plt.plot(*amplitude_spectrum(t, y), alpha=0.5)\n", "plt.plot(*amplitude_spectrum(t, y_high), alpha=0.5)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([,\n", " ,\n", " ,\n", " ],\n", " dtype=object)" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from maelstrom import Maelstrom\n", "\n", "ms = Maelstrom(t, y_high, freq=freq)\n", "ms.first_look()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "td_time, td_td = ms.get_time_delay(segment_size=2.8)\n", "td_td = np.average(td_td, weights=ms.get_weights(norm=False), axis=1)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# td_time, td_td = np.loadtxt('../data/kic6780873_time-delay_Q99_llc.txt', delimiter=',', usecols=(0,1)).T\n", "# td_time += 2400000\n", "# td_time -= 2454833\n", "#td_time -= np.median(td_time)\n", "td_time = td_time[td_td< 70]\n", "td_td = td_td[td_td < 70]\n", "\n", "td_time = td_time[td_td>- 70]\n", "td_td = td_td[td_td>-70]\n", "\n", "# td_time -= np.median(td_time)\n", "plt.plot(td_time, td_td)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from maelstrom.utils import amplitude_spectrum\n", "plt.plot(*amplitude_spectrum(td_time, td_td))" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import theano.tensor as tt\n", "\n", "with pm.Model() as subdivide_model:\n", " logP = pm.Normal(\"logP\", mu=np.log(period_guess), sd=0.5, testval=np.log(period_guess))\n", " period = pm.Deterministic(\"period\", pm.math.exp(logP))\n", " \n", " # The time of conjunction\n", " logs_lc = pm.Normal('logs_lc', mu=np.log(np.std(flux)), sd=10, testval=0.)\n", " logasini = pm.Normal('logasini', mu=np.log(a_guess), sd=10, testval=np.log(a_guess))\n", " asini = pm.Deterministic(\"asini\", tt.exp(logasini))\n", " drift = pm.Normal('drift', mu=0., sd=0.1, testval=0)\n", " # Periastron sampled from uniform angle\n", " omega = xo.distributions.Angle(\"omega\", testval=0.)\n", " phi = xo.distributions.Angle(\"phi\", testval=0.22)\n", "# sinomega = pm.Uniform('sinomega', lower=-1, upper=1)\n", "# sinphi = pm.Uniform(\"sinphi\", lower=-1, upper=1)\n", "# omega = pm.Uniform(\"omega\", lower=-2*np.pi, upper=2*np.pi)\n", " mean = pm.Normal('mean', mu=0, sd=5, testval=0.)\n", " # Eccentricity\n", " eccen = pm.Uniform(\"eccen\", lower=0, upper=0.9, testval=0.05)\n", "# BoundedBeta = pm.Bound(pm.Beta, lower=0, upper=1-1e-5)\n", "# eccen = BoundedBeta(\"eccen\", alpha=0.867, beta=3.03, shape=1,\n", "# testval=0.05)\n", " # The baseline flux\n", " #mean = pm.Normal(\"mean\", mu=0.0, sd=10.0, testval=0.003)\n", " \n", " # Mean anom\n", " M = 2.0 * np.pi * td_time / period - phi\n", " \n", " # True anom\n", " kepler_op = xo.theano_ops.kepler.KeplerOp()\n", " sinf, cosf = kepler_op(M, eccen + np.zeros(len(td_time)))\n", " \n", " factor = 1.0 - tt.square(eccen)\n", " factor /= 1.0 + eccen * cosf\n", " psi = factor * (sinf*tt.cos(omega)+cosf*tt.sin(omega))\n", " tau = asini * psi\n", " tau += td_time * drift\n", " taumodel = pm.Deterministic('taumodel', tau - mean)\n", " \n", " pm.Normal('obs', mu=taumodel, sd=tt.exp(logs_lc), observed=td_td)\n", " \n", " \n", " plt.plot(td_time, xo.eval_in_model(taumodel))\n", " plt.plot(td_time, td_td)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "optimizing logp for variables: [mean]\n", "5it [00:00, 6.84it/s, logp=-1.858227e+05] \n", "message: Optimization terminated successfully.\n", "logp: -185871.60630944665 -> -185822.69253346324\n", "optimizing logp for variables: [logs_lc]\n", "17it [00:00, 138.25it/s, logp=-2.212268e+03]\n", "message: Optimization terminated successfully.\n", "logp: -185871.60630944665 -> -2212.2683155523277\n", "optimizing logp for variables: [phi, logasini]\n", "36it [00:00, 175.64it/s, logp=-1.610627e+05]\n", "message: Optimization terminated successfully.\n", "logp: -185871.60630944665 -> -161062.7233135249\n", "optimizing logp for variables: [logs_lc]\n", "17it [00:00, 133.64it/s, logp=-2.212268e+03]\n", "message: Optimization terminated successfully.\n", "logp: -185871.60630944665 -> -2212.2683155523277\n", "optimizing logp for variables: [omega, eccen]\n", "156it [00:00, 354.92it/s, logp=-1.629371e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -185871.60630944665 -> -162937.06805573768\n", "optimizing logp for variables: [logP]\n", "16it [00:00, 51.61it/s, logp=-1.654614e+05] \n", "message: Optimization terminated successfully.\n", "logp: -185871.60630944665 -> -165461.39160635974\n", "optimizing logp for variables: [eccen, mean, phi, omega, drift, logasini, logs_lc, logP]\n", "256it [00:01, 174.70it/s, logp=-2.134832e+03]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -185871.60630944665 -> -2134.83200433229\n" ] } ], "source": [ "with subdivide_model:\n", " map_params = xo.optimize(vars=[mean])\n", " map_params = xo.optimize(vars=[logs_lc])\n", " map_params = xo.optimize(vars=[logasini, phi])\n", " map_params = xo.optimize(vars=[logs_lc])\n", " map_params = xo.optimize(vars=[eccen, omega])\n", " map_params = xo.optimize(vars=[logP])\n", " map_params = xo.optimize()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 2 jobs)\n", "NUTS: [eccen, mean, phi, omega, drift, logasini, logs_lc, logP]\n", "Sampling 2 chains: 100%|██████████| 5000/5000 [00:37<00:00, 134.23draws/s]\n" ] } ], "source": [ "with subdivide_model:\n", " trace = pm.sample(draws=2000, start=map_params)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import corner\n", "\n", "corner.corner(pm.trace_to_dataframe(trace, varnames=['period', 'asini', 'eccen', 'omega', 'phi']));" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mass_func : 0.034 + 0.018 - 0.012\n" ] } ], "source": [ "from maelstrom.utils import mass_function\n", "import astropy.units as u\n", "rounding = 3\n", "samples = pm.trace_to_dataframe(trace, varnames=['period', 'asini'])\n", "mfs = mass_function(samples['period'].values * u.day, samples['asini'].values*u.s)\n", "#mfs = np.array(mfs)\n", "upper, med, lower = np.percentile(mfs.value, [84.13, 50, 15.86])\n", "print('mass_func', ': ', np.round(med,rounding), ' + ', np.round(upper - med,rounding), ' - ', np.round(med - lower,rounding))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ ": 2.725 + 1.005 - 1.028\n" ] } ], "source": [ "phis = trace['omega']\n", "phis[phis < 0] += 2*np.pi\n", "np.median(phis)\n", "\n", "upper, med, lower = np.percentile(phis, [84.13, 50, 15.86])\n", "print(': ', np.round(med,rounding), ' + ', np.round(upper - med,rounding), ' - ', np.round(med - lower,rounding))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "period : 9.162 + 0.004 - 0.004\n", "phi : -1.774 + 4.211 - 0.942\n", "eccen : 0.24 + 0.191 - 0.163\n", "asini : 13.806 + 2.089 - 1.926\n", "omega : 1.742 + 1.003 - 4.357\n" ] } ], "source": [ "varnames=['period', 'phi', 'eccen', 'asini', 'omega']\n", "rounding = 3\n", "for varname in varnames:\n", " upper, med, lower = np.percentile(trace[varname], [84.13, 50, 15.86])\n", " print(varname, ': ', np.round(med,rounding), ' + ', np.round(upper - med,rounding), ' - ', np.round(med - lower,rounding))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'traces/6780873_subdivided_final/'" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.save_trace(trace, 'traces/6780873_subdivided_final/', overwrite=True)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Time delay (s)')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "fig, ax = plt.subplots(figsize=mnras_size(540), constrained_layout=True)\n", "\n", "with subdivide_model:\n", " for samp in xo.utils.get_samples_from_trace(trace, size=100):\n", " #taumod = xo.eval_in_model(asini * psi, samp)\n", " ttime = (td_time) % samp['period'] / samp['period']\n", " tau = samp['taumodel']\n", " \n", " sort = np.argsort(ttime)\n", " ax.plot(ttime[sort], tau[sort], linewidth=0.1, alpha=1, color=blue)\n", " #ttime = (ms.time_mid + time - samp['tref']) % samp['period'] / samp['period']\n", " #ttime = (ms.time_mid + time) % samp['period'] / samp['period']\n", " #ttime = ((ms.time_mid + time) + (samp['phi'] * samp['period'] / (2*np.pi))) % samp['period'] / samp['period']\n", " #sort = np.argsort(ttime)\n", " #ax.plot(ttime[sort], (taumod - np.mean(taumod))[sort], color=blue, linewidth=0.1, alpha=1, rasterized=True)\n", " \n", " \n", "#a, b = ms.get_time_delay(segment_size=10)\n", "#bb = np.average(b, axis=1, weights=ms.get_weights())\n", "#plt.plot((a + ms.time_mid) % np.median(trace['period']) / np.median(trace['period']) ,bb, '.k', markersize=2)\n", "\n", "ax.set_xlabel('Orbital phase')\n", "ax.set_ylabel('Time delay (s)', c=blue)\n", "\n", "#ax.set_xlim(0, 1)\n", "\n", "#plt.savefig(overleaf_path + '6780873.png', dpi=300, bbox_inches='tight', pad_inches=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Maelstrom" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "rv_jd, rv_rv, rv_err = np.loadtxt('../../data/kic6780873_JDrv.txt', delimiter=',', usecols=(0,1,2)).T\n", "rv_jd += 2400000\n", "rv_jd -= 2454833\n", "\n", "time, mag = np.loadtxt('../../data/kic6780873_lc.txt', usecols=(0,1)).T\n", "time += 2400000\n", "time -= 2454833\n", "time, mag = time, mag*1e3\n", "\n", "freq = np.array([14.18764198, 13.43633836])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model:\n", " P = pm.Bound(pm.Normal, lower=1, upper=12)(\"P\", mu=9.159153, sd=5,\n", " shape=1, testval=9.159153)\n", "\n", " # Wide log-normal prior for semi-amplitude\n", " logasini = pm.Bound(pm.Normal, lower=1, upper=25)(\"logasini\", mu=np.log(17.441530), sd=10,\n", " shape=1, testval=np.log(17.441530))\n", " logs_lc = pm.Normal('logs_lc', mu=0.0001*np.log(np.std(mag)), sd=10, testval=0.)\n", " asini = pm.Deterministic('asini', tt.exp(logasini))\n", " ecc = xo.distributions.UnitUniform(\"ecc\", shape=1, testval=0.27)\n", " omega = xo.distributions.Angle(\"omega\", testval=2.306092)\n", " phi = xo.distributions.Angle('phi', testval=0.377081)\n", " lognu = pm.Normal(\"lognu\", mu=np.log(freq), sd=0.1, shape=len(freq))\n", " nu = pm.Deterministic(\"nu\", tt.exp(lognu))\n", " \n", " orbit = Orbit(period=P, \n", " lighttime=asini, \n", " omega=omega, \n", " eccen=ecc, \n", " phi=phi, \n", " freq=nu)\n", " \n", " lc = orbit.get_lightcurve_model(time, mag)\n", " \n", " logw0 = pm.Bound(pm.Normal,\n", " lower=np.log(2*np.pi/100.0),\n", " upper=np.log(2*np.pi/0.1))(\"logw0\", mu=np.log(2*np.pi/10), sd=10,\n", " testval=2.58269602)\n", " logpower = pm.Normal(\"logpower\", mu=np.log(np.var(mag)), sd=100, testval=10.88269047)\n", " logS0 = pm.Deterministic(\"logS0\", logpower - 4 * logw0)\n", " kernel = xo.gp.terms.SHOTerm(log_S0=logS0, log_w0=logw0, Q=1/np.sqrt(2))\n", " gp = xo.gp.GP(kernel, time, tt.exp(2*logs_lc) + tt.zeros(len(time)), J=2)\n", " gp_l = gp.log_likelihood(mag - lc)\n", " # Weight likelihood equally with RV data\n", " pm.Potential(\"obs\", gp_l)\n", " \n", "# pm.Normal('obs', mu=lc, sd=tt.exp(logs_lc), observed=mag)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "with model:\n", " all_but = [v for v in model.vars if v.name not in [\"P_interval__\"]]\n", " map_params = xo.optimize(start=None, vars=[logs_lc])\n", " map_params = xo.optimize(start=map_params, vars=[ecc, omega])\n", " map_params = xo.optimize(start=map_params, vars=[phi])\n", " map_params = xo.optimize(start=map_params, vars=[lognu])\n", " map_params = xo.optimize(start=map_params, \n", " vars=all_but\n", " )\n", " \n", " map_params = xo.optimize(start=map_params, vars=[asini])\n", " map_params = xo.optimize(start=map_params,\n", " vars=all_but\n", " )\n", "\n", " map_params = xo.optimize(start=map_params, vars=[P])\n", " map_params = xo.optimize(start=map_params, \n", " vars=all_but\n", " )" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig, axes = plt.subplots(3,1, figsize=[3.33333, 2.06*2.3], gridspec_kw={'height_ratios': [1,1,0.3]}, constrained_layout=True)\n", "from maelstrom.utils import amplitude_spectrum\n", "with model:\n", " ax = axes[0]\n", " ax.plot(*amplitude_spectrum(time, xo.eval_in_model(lc, map_params)),\n", " c=blue, alpha=1, linewidth=0.8, label='Maelstrom')\n", " ax.plot(*amplitude_spectrum(time, xo.eval_in_model(gp.predict(), map_params)),\n", " c=red, alpha=1, linewidth=0.8, label='GP')\n", " ax.set_xlim(0,24)\n", " ax.set_ylim(0, None)\n", " ax.legend()\n", " \n", " #ax.plot(*amplitude_spectrum(time, flux), alpha=0.2, c='green')\n", " \n", " ax.set_xlabel('Frequency (d$^{-1}$)')\n", " ax.set_ylabel('Amplitude (ppt)')\n", " \n", " \n", " ax = axes[1]\n", " med = xo.eval_in_model(gp.predict() + lc, map_params)\n", " ax.plot(time, med , c=blue, alpha=1, linewidth=0.8, rasterized=True)\n", " ax.plot(time, mag, '.k', markersize=2, rasterized=True)\n", " ax.set_xlim(200,205)\n", " ax.set_ylim(-16.2,16.2)\n", " ax.set_xticks([])\n", " ax.set_ylabel('Amplitude (ppt)')\n", " \n", " ax = axes[2]\n", " ax.plot(time, med - mag, '.k',\n", " c=blue, alpha=1, linewidth=0.7, label='Light curve model', markersize=2, rasterized=True)\n", " ax.set_xlim(200,205)\n", " ax.set_ylim(-1,1)\n", " ax.set_xlabel('Time (BKJD)')\n", " ax.set_ylabel('Res.')\n", " \n", "# plt.savefig(overleaf_path + '6780873_lc_model.pdf', dpi=300, bbox_inches='tight', pad_inches=0)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)\n", "with model:\n", " trace = pm.sample(\n", " tune=1000, \n", " draws=2000, \n", " step=xo.get_dense_nuts_step(target_accept=0.9), \n", " start=map_params\n", " )\n", " \n", "pm.save_trace(trace,'traces/NEW/6780873_PM')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "with model:\n", " trace = pm.load_trace('traces/NEW/6780873_PM')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "P: 9.158 + 0.002 - 0.002\n", "asini: 18.412 + 1.570 - 2.086\n", "ecc: 0.462 + 0.123 - 0.148\n", "omega: 0.936 + 0.284 - 0.280\n", "phi: -0.956 + 0.221 - 0.214\n" ] } ], "source": [ "varnames = [\"P\", \"asini\", \"ecc\", \"omega\", \"phi\"]\n", "for var in varnames:\n", " percentiles = np.percentile(trace[var], q=[15.87, 50, 84.13])\n", " print(f'{var}: {percentiles[0]:.3f} + {percentiles[1] - percentiles[0]:.3f} - {percentiles[2] - percentiles[1]:.3f}')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/danielhey/anaconda3/lib/python3.7/site-packages/pymc3/stats.py:991: FutureWarning: The join_axes-keyword is deprecated. Use .reindex or .reindex_like on the result to achieve the same functionality.\n", " axis=1, join_axes=[dforg.index])\n" ] }, { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
logs_lc-2.0889051.402644e-021.720500e-04-2.115719-2.0606597240.0703601.000708
lognu__02.6523712.453881e-083.093817e-102.6523712.6523716738.3669851.000033
lognu__12.5979635.149372e-086.081741e-102.5979632.5979639137.4830010.999998
logpower10.8831078.404663e-039.944582e-0510.86673910.8998436366.2542701.000175
P__09.1596351.937280e-033.119742e-059.1559919.1635413581.7195041.002529
logasini__03.0118191.291883e-017.419872e-032.7965143.233713146.5253181.020908
asini__020.5147763.185282e+002.078277e-0116.20934625.161081114.5523171.024419
ecc__00.5989871.478953e-015.510546e-030.3829340.998002367.0324161.011593
omega1.2190922.793418e-017.528399e-030.6768861.7694291053.3144331.000794
phi-0.7376352.222113e-013.436974e-03-1.199479-0.3240774444.3931471.000072
nu__014.1876423.481479e-074.389397e-0914.18764114.1876426738.3668841.000033
nu__113.4363386.918870e-078.171633e-0913.43633713.4363399137.4829090.999998
logw02.5827645.919362e-037.036509e-052.5716622.5947136443.7744181.000009
logS00.5520512.112239e-022.654883e-040.5099860.5923966109.5151570.999941
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 \\\n", "logs_lc -2.088905 1.402644e-02 1.720500e-04 -2.115719 -2.060659 \n", "lognu__0 2.652371 2.453881e-08 3.093817e-10 2.652371 2.652371 \n", "lognu__1 2.597963 5.149372e-08 6.081741e-10 2.597963 2.597963 \n", "logpower 10.883107 8.404663e-03 9.944582e-05 10.866739 10.899843 \n", "P__0 9.159635 1.937280e-03 3.119742e-05 9.155991 9.163541 \n", "logasini__0 3.011819 1.291883e-01 7.419872e-03 2.796514 3.233713 \n", "asini__0 20.514776 3.185282e+00 2.078277e-01 16.209346 25.161081 \n", "ecc__0 0.598987 1.478953e-01 5.510546e-03 0.382934 0.998002 \n", "omega 1.219092 2.793418e-01 7.528399e-03 0.676886 1.769429 \n", "phi -0.737635 2.222113e-01 3.436974e-03 -1.199479 -0.324077 \n", "nu__0 14.187642 3.481479e-07 4.389397e-09 14.187641 14.187642 \n", "nu__1 13.436338 6.918870e-07 8.171633e-09 13.436337 13.436339 \n", "logw0 2.582764 5.919362e-03 7.036509e-05 2.571662 2.594713 \n", "logS0 0.552051 2.112239e-02 2.654883e-04 0.509986 0.592396 \n", "\n", " n_eff Rhat \n", "logs_lc 7240.070360 1.000708 \n", "lognu__0 6738.366985 1.000033 \n", "lognu__1 9137.483001 0.999998 \n", "logpower 6366.254270 1.000175 \n", "P__0 3581.719504 1.002529 \n", "logasini__0 146.525318 1.020908 \n", "asini__0 114.552317 1.024419 \n", "ecc__0 367.032416 1.011593 \n", "omega 1053.314433 1.000794 \n", "phi 4444.393147 1.000072 \n", "nu__0 6738.366884 1.000033 \n", "nu__1 9137.482909 0.999998 \n", "logw0 6443.774418 1.000009 \n", "logS0 6109.515157 0.999941 " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mass_func : 0.102 + 0.035 - 0.022\n" ] } ], "source": [ "from maelstrom.utils import mass_function\n", "import astropy.units as u\n", "rounding = 3\n", "samples = pm.trace_to_dataframe(trace, varnames=['P', 'asini'])\n", "mfs = mass_function(samples['P__0'].values * u.day, samples['asini__0'].values*u.s)\n", "upper, med, lower = np.percentile(mfs.value, [84.13, 50, 15.86])\n", "print('mass_func', ': ', np.round(med,rounding), ' + ', np.round(upper - med,rounding), ' - ', np.round(med - lower,rounding))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Maelstrom + RV" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model:\n", " period = pm.Bound(pm.Normal, lower=0, upper=12)(\"P\", mu=9.159153, sd=5,\n", " shape=1, testval=9.159153)\n", "\n", " logasini = pm.Bound(pm.Normal, lower=0, upper=25)(\"logasini\", mu=np.log(17.441530), sd=10,\n", " shape=1, testval=np.log(17.441530))\n", " logs_lc = pm.Normal('logs_lc', mu=0.0001*np.log(np.std(mag)), sd=10, testval=0.)\n", " asini = pm.Deterministic('asini', tt.exp(logasini))\n", " ecc = xo.distributions.UnitUniform(\"ecc\", shape=1, testval=0.27)\n", " omega = xo.distributions.Angle(\"omega\", testval=2.306092)\n", " phi = xo.distributions.Angle('phi', testval=0.377081)\n", " lognu = pm.Normal(\"lognu\", mu=np.log(freq), sd=0.1, shape=len(freq))\n", " nu = pm.Deterministic(\"nu\", tt.exp(lognu))\n", " \n", " orbit = Orbit(period=period, \n", " lighttime=asini, \n", " omega=omega, \n", " eccen=ecc, \n", " phi=phi, \n", " freq=nu)\n", " \n", " lc = orbit.get_lightcurve_model(time, mag)\n", " \n", "# # GP\n", " logw0 = pm.Bound(pm.Normal,\n", " lower=np.log(2*np.pi/100.0),\n", " upper=np.log(2*np.pi/0.1))(\"logw0\", mu=np.log(2*np.pi/10), sd=10,\n", " testval=2.58269602)\n", " logpower = pm.Normal(\"logpower\", mu=np.log(np.var(mag)), sd=100, testval=10.88269047)\n", " logS0 = pm.Deterministic(\"logS0\", logpower - 4 * logw0)\n", " kernel = xo.gp.terms.SHOTerm(log_S0=logS0, log_w0=logw0, Q=1/np.sqrt(2))\n", " gp = xo.gp.GP(kernel, time, tt.exp(2*logs_lc) + tt.zeros(len(time)), J=2)\n", " gp_l = gp.log_likelihood(mag - lc)\n", " pm.Potential(\"obs\", gp_l)\n", " \n", "# pm.Normal('obs', mu=lc, sd=tt.exp(logs_lc), observed=mag)\n", " \n", " # RV data:\n", " gammav = pm.Uniform('gammav', lower=-50, upper=50, testval=11.)\n", " logs_rv = pm.Normal('logs_rv', mu=np.log(np.std(rv_rv)), sd=10, testval=np.log(np.std(rv_rv)))\n", " vrad = orbit.get_radial_velocity(rv_jd)\n", " vrad += gammav # Systemic velocity\n", "\n", " err = tt.sqrt(2*rv_err**2 + tt.exp(2*logs_rv))\n", " pm.Normal(\"obs_rv\", mu=vrad, sd=err, observed=rv_rv)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "with model:\n", " map_params = xo.optimize(start=model.test_point, vars=[gammav])\n", " map_params = xo.optimize(start=map_params, vars=[phi])\n", " \n", " all_but = [v for v in model.vars if v.name not in [\"period_interval__\"]]\n", " map_params = xo.optimize(start=None, vars=[logs_lc])\n", " map_params = xo.optimize(start=map_params, vars=[logpower, logw0])\n", " map_params = xo.optimize(start=map_params, vars=[ecc, omega])\n", " map_params = xo.optimize(start=map_params, vars=[phi])\n", " map_params = xo.optimize(start=map_params, vars=[lognu])\n", " map_params = xo.optimize(start=map_params, \n", " vars=all_but\n", " )\n", " \n", " map_params = xo.optimize(start=map_params, vars=[asini])\n", " map_params = xo.optimize(start=map_params,\n", " vars=all_but\n", " )\n", "\n", " map_params = xo.optimize(start=map_params, vars=[period])\n", " map_params = xo.optimize(start=map_params, \n", " vars=all_but\n", " )" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "np.random.seed(42)\n", "with model:\n", " trace = pm.sample(\n", " tune=1000, \n", " draws=2000, \n", " step=xo.get_dense_nuts_step(target_accept=0.9), \n", " start=map_params\n", " )\n", " \n", "pm.save_trace(trace,'traces/NEW/6780873_PM_RV', overwrite=True)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "with model:\n", " trace = pm.load_trace('traces/NEW/6780873_PM_RV')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/danielhey/anaconda3/lib/python3.7/site-packages/pymc3/stats.py:991: FutureWarning: The join_axes-keyword is deprecated. Use .reindex or .reindex_like on the result to achieve the same functionality.\n", " axis=1, join_axes=[dforg.index])\n" ] }, { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
logs_lc-2.0887301.396678e-021.903693e-04-2.116030-2.0614596001.2820920.999942
lognu__02.6523712.457592e-083.085551e-102.6523712.6523717732.6532281.000565
lognu__12.5979635.129832e-085.864659e-102.5979632.5979637623.2979150.999861
logpower10.8832708.538375e-031.065216e-0410.86670310.8999086377.4759031.000136
logs_rv0.1254345.144415e-011.635629e-02-0.8102451.149891929.9130541.001805
P__09.1591808.269698e-041.266614e-059.1575649.1607675302.0866841.001002
logasini__02.8569264.234440e-028.064314e-042.7762622.9446382287.1610160.999883
asini__017.4236527.454177e-011.408879e-0216.05887719.0037772293.3896610.999862
ecc__00.1068806.010785e-021.847468e-030.0121860.188531890.9949741.001453
omega2.3012635.068044e-012.114785e-021.6740552.836510557.3132151.002160
phi0.3645892.764532e-019.925267e-03-0.2365880.951171728.0334091.001561
nu__014.1876423.486743e-074.377669e-0914.18764114.1876427732.6532101.000565
nu__113.4363386.892615e-077.879954e-0913.43633713.4363397623.2979220.999861
logw02.5828655.875771e-038.004861e-052.5710152.5937856348.3020431.000153
logS00.5518092.078153e-022.796834e-040.5116740.5915056027.0656841.000014
gammav11.8735161.065791e+002.179332e-029.95104913.9509782047.0135541.002108
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 \\\n", "logs_lc -2.088730 1.396678e-02 1.903693e-04 -2.116030 -2.061459 \n", "lognu__0 2.652371 2.457592e-08 3.085551e-10 2.652371 2.652371 \n", "lognu__1 2.597963 5.129832e-08 5.864659e-10 2.597963 2.597963 \n", "logpower 10.883270 8.538375e-03 1.065216e-04 10.866703 10.899908 \n", "logs_rv 0.125434 5.144415e-01 1.635629e-02 -0.810245 1.149891 \n", "P__0 9.159180 8.269698e-04 1.266614e-05 9.157564 9.160767 \n", "logasini__0 2.856926 4.234440e-02 8.064314e-04 2.776262 2.944638 \n", "asini__0 17.423652 7.454177e-01 1.408879e-02 16.058877 19.003777 \n", "ecc__0 0.106880 6.010785e-02 1.847468e-03 0.012186 0.188531 \n", "omega 2.301263 5.068044e-01 2.114785e-02 1.674055 2.836510 \n", "phi 0.364589 2.764532e-01 9.925267e-03 -0.236588 0.951171 \n", "nu__0 14.187642 3.486743e-07 4.377669e-09 14.187641 14.187642 \n", "nu__1 13.436338 6.892615e-07 7.879954e-09 13.436337 13.436339 \n", "logw0 2.582865 5.875771e-03 8.004861e-05 2.571015 2.593785 \n", "logS0 0.551809 2.078153e-02 2.796834e-04 0.511674 0.591505 \n", "gammav 11.873516 1.065791e+00 2.179332e-02 9.951049 13.950978 \n", "\n", " n_eff Rhat \n", "logs_lc 6001.282092 0.999942 \n", "lognu__0 7732.653228 1.000565 \n", "lognu__1 7623.297915 0.999861 \n", "logpower 6377.475903 1.000136 \n", "logs_rv 929.913054 1.001805 \n", "P__0 5302.086684 1.001002 \n", "logasini__0 2287.161016 0.999883 \n", "asini__0 2293.389661 0.999862 \n", "ecc__0 890.994974 1.001453 \n", "omega 557.313215 1.002160 \n", "phi 728.033409 1.001561 \n", "nu__0 7732.653210 1.000565 \n", "nu__1 7623.297922 0.999861 \n", "logw0 6348.302043 1.000153 \n", "logS0 6027.065684 1.000014 \n", "gammav 2047.013554 1.002108 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [07:51<00:00, 2.12it/s]\n" ] } ], "source": [ "from tqdm import tqdm\n", "\n", "tds, rvs = [], []\n", "with model:\n", " for samp in tqdm(xo.utils.get_samples_from_trace(trace, size=1000), total=1000):\n", " tds.append(xo.eval_in_model(orbit.get_time_delay(time), samp))\n", " rvs.append(xo.eval_in_model(orbit.get_radial_velocity(time) + gammav, samp))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "med_td = np.median(tds, axis=0)\n", "sd_td = np.std(tds, axis=0)\n", "med_rv = np.median(rvs, axis=0)\n", "sd_rv = np.std(rvs, axis=0)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=mnras_size(240), constrained_layout=True)\n", "ax2 = ax.twinx()\n", "\n", "np.random.seed(42)\n", "\n", "with model:\n", " for samp in xo.utils.get_samples_from_trace(trace, size=12):\n", " times = time# + xo.eval_in_model(phi * period / (2*np.pi), samp)\n", " fold = times % samp['P'] / samp['P']\n", " sort = np.argsort(fold)\n", " ax.plot(fold[sort], xo.eval_in_model(orbit.get_time_delay(time), samp)[sort] * 86400, color=blue, alpha=1., linewidth=0.4)\n", " \n", " times = time# + xo.eval_in_model(phi * period / (2*np.pi), samp)\n", " fold = times % samp['P'] / samp['P']\n", " sort = np.argsort(fold)\n", " ax2.plot(fold[sort], xo.eval_in_model(orbit.get_radial_velocity(time) + gammav, samp)[sort], color=red, alpha=1., linewidth=0.4)\n", " \n", "ax2.plot(rv_jd % np.median(trace['P']) / np.median(trace['P']), rv_rv, '.', c='black', label='RV data', rasterized=True, zorder=50, markersize=3)\n", "\n", "ax.set_xlabel('Orbital phase')\n", "ax.set_ylabel('Time delay (s)', c=blue)\n", "\n", "ax2.set_ylabel('RV (km/s)', c=red)\n", "ax.set_xlim(0, 1)\n", "\n", "times = time# + xo.eval_in_model(phi * period / (2*np.pi), samp)\n", "fold = times % np.median(trace['P']) / np.median(trace['P'])\n", "sort = np.argsort(fold)\n", "# plt.plot(fold[sort], med[sort] * 86400, color=blue, alpha=1., linewidth=0.2)\n", "ax.fill_between(fold[sort], (med - sd)[:,0][sort] * 86400, (med+sd)[:,0][sort] * 86400, alpha=0.2, color=blue)\n", "ax2.fill_between(fold[sort], (med_rv - sd_rv)[sort], (med_rv+sd_rv)[sort], alpha=0.2, color=red)\n", "\n", "plt.savefig(overleaf_path + '6780873.png', dpi=300, bbox_inches='tight', pad_inches=0)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "P: 9.158 + 0.001 - 0.001\n", "asini: 16.742 + 0.623 - 0.734\n", "ecc: 0.065 + 0.034 - 0.041\n", "omega: 2.152 + 0.213 - 0.170\n", "phi: 0.169 + 0.213 - 0.187\n" ] } ], "source": [ "varnames = [\"P\", \"asini\", \"ecc\", \"omega\", \"phi\"]\n", "for var in varnames:\n", " percentiles = np.percentile(trace[var], q=[15.87, 50, 84.13])\n", " print(f'{var}: {percentiles[0]:.3f} + {percentiles[1] - percentiles[0]:.3f} - {percentiles[2] - percentiles[1]:.3f}')" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mass_func : 0.067 + 0.009 - 0.007\n" ] } ], "source": [ "from maelstrom.utils import mass_function\n", "import astropy.units as u\n", "rounding = 3\n", "samples = pm.trace_to_dataframe(trace, varnames=['P', 'asini'])\n", "mfs = mass_function(samples['P__0'].values * u.day, samples['asini__0'].values*u.s)\n", "upper, med, lower = np.percentile(mfs.value, [84.13, 50, 15.86])\n", "print('mass_func', ': ', np.round(med,rounding), ' + ', np.round(upper - med,rounding), ' - ', np.round(med - lower,rounding))" ] }, { "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }