{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Custom priors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at something a bit more complicated now, using custom priors to define the model instead of the pb1 and pb2 models provided by Maelstrom." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from maelstrom.orbit import Orbit\n", "import numpy as np\n", "import exoplanet as xo\n", "from maelstrom import Maelstrom\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll go back to our favourite star.." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/danielhey/anaconda3/lib/python3.7/site-packages/lightkurve/collections.py:212: LightkurveWarning: Stitching a `LightCurveFileCollection` which contains both SAP and PDCSAP_FLUX. Plotting PDCSAP_FLUX. You can remove this warning by using `LightCurveFileCollection.PDCSAP_FLUX.stitch()`.\n", " LightkurveWarning)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import lightkurve as lk\n", "\n", "lc = lk.search_lightcurvefile('KIC 9651065', mission='Kepler').download_all().stitch().remove_nans()\n", "lc.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As usual, pass the time and flux data into Maelstrom" ] }, { "cell_type": "code", "execution_count": 3, "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": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ms = Maelstrom(lc.time, lc.flux, max_peaks=3, fmax=48)\n", "ms.first_look();" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "freq = ms.freq\n", "time, flux = ms.time, ms.flux" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is where we define our custom model. PyMC3 has a steep learning curve, so I recommend reading the documentation. In a nutshell, we defined a `PyMC3.Model()` as a context manager and bind our priors to the model. You can choose a wide range of distributions for your priors (or even write your own), such as `pm.Uniform`, `pm.Normal`, `pm.Binomial`, and so on. [Check them all out here](https://docs.pymc.io/api/distributions.html)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pymc3 as pm\n", "import theano.tensor as tt\n", "\n", "with pm.Model() as model:\n", " # Our orbital period prior\n", " period = pm.Normal(\"period\", mu=300, sd=50)\n", " # The phase of conjunction\n", " phi = xo.distributions.Angle(\"phi\")\n", " # Our standard deviation\n", " logs_lc = pm.Normal('logs_lc', mu=np.log(np.std(flux)), sd=10, testval=0.)\n", " # We want positive lighttimes only, sample in log-space\n", " logasini = pm.Normal('logasini', mu=np.log(200), sd=100, testval=np.log(200))\n", " asini = pm.Deterministic(\"asini\", pm.math.exp(logasini))\n", " # Periastron sampled from uniform angle\n", " omega = xo.distributions.Angle(\"omega\", testval=0.)\n", " # Eccentricity\n", " eccen = pm.Uniform(\"eccen\", lower=0, upper=0.9, testval=0.5)\n", " # The baseline flux\n", " mean = pm.Normal(\"mean\", mu=0.0, sd=10.0, testval=0.003)\n", " \n", " lognu = pm.Normal(\"lognu\", mu=np.log(freq), sd=0.1, shape=len(freq))\n", " nu = pm.Deterministic(\"nu\", pm.math.exp(lognu))\n", " \n", " # Here, we generate an Orbit instance and pass in our priors. \n", " orbit = Orbit(period=period, \n", " lighttime=asini, \n", " omega=omega, \n", " eccen=eccen, \n", " phi=phi, \n", " freq=nu)\n", " \n", " # Orbit makes available a method which will calculate the theoretical light curve given the orbital parameters, times, and fluxes, following\n", " # equation 10 of the paper. \n", " lc = orbit.get_lightcurve_model(time, flux) + mean\n", " \n", " # We pass this into our likelihood\n", " pm.Normal('obs', mu=lc, sd=tt.exp(logs_lc), observed=flux)\n", "\n", "# This is what our light curve looks like before any optimisation\n", "with model:\n", " plt.plot(time, flux, alpha=0.5, label='Data')\n", " plt.plot(time, xo.eval_in_model(lc), alpha=0.5, label='Model')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's optimise the model. You can see that I do it in steps" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[period, phi_angle__, logs_lc, logasini, omega_angle__, eccen_interval__, mean, lognu]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "optimizing logp for variables: [mean]\n", "4it [00:01, 3.00it/s, logp=-1.171448e+05]\n", "message: Optimization terminated successfully.\n", "logp: -117144.9588750656 -> -117144.76447374036\n", "optimizing logp for variables: [logs_lc]\n", "8it [00:00, 30.51it/s, logp=-1.109120e+05]\n", "message: Optimization terminated successfully.\n", "logp: -117144.76447374036 -> -110912.00530457776\n", "optimizing logp for variables: [omega, eccen]\n", "37it [00:01, 24.89it/s, logp=-1.076884e+05]\n", "message: Optimization terminated successfully.\n", "logp: -110912.00530457776 -> -107688.4449469986\n", "optimizing logp for variables: [phi]\n", "19it [00:00, 26.69it/s, logp=-1.076658e+05]\n", "message: Optimization terminated successfully.\n", "logp: -107688.4449469986 -> -107665.81519841329\n", "optimizing logp for variables: [lognu, mean, eccen, omega, logasini, logs_lc, phi, period]\n", "147it [00:05, 26.84it/s, logp=-1.064790e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -107665.81519841329 -> -106479.01236356102\n", "optimizing logp for variables: [logasini]\n", "4it [00:00, 27.08it/s, logp=-1.064790e+05]\n", "message: Optimization terminated successfully.\n", "logp: -106479.01236356102 -> -106479.01236355751\n", "optimizing logp for variables: [lognu, mean, eccen, omega, logasini, logs_lc, phi, period]\n", "161it [00:05, 26.98it/s, logp=-1.064790e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -106479.01236355751 -> -106479.01236354448\n", "optimizing logp for variables: [period]\n", "5it [00:00, 25.58it/s, logp=-1.064790e+05]\n", "message: Optimization terminated successfully.\n", "logp: -106479.01236354448 -> -106479.01236351699\n", "optimizing logp for variables: [lognu, mean, eccen, omega, logasini, logs_lc, phi, period]\n", "74it [00:02, 26.34it/s, logp=-1.456381e+05]\n", "message: Desired error not necessarily achieved due to precision loss.\n", "logp: -106479.01236351699 -> -106479.01236351699\n" ] } ], "source": [ "with model:\n", " all_but = [v for v in model.vars if v.name not in [\"logP_interval__\", \"logasini_interval__\"]]\n", " print(all_but)\n", " \n", " map_params = xo.optimize(start=None, vars=[mean])\n", " map_params = xo.optimize(start=map_params, vars=[logs_lc])\n", " map_params = xo.optimize(start=map_params, vars=[eccen, omega])\n", " map_params = xo.optimize(start=map_params, vars=[phi])\n", " map_params = xo.optimize(start=map_params, vars=all_but)\n", " \n", " map_params = xo.optimize(start=map_params, vars=[logasini])\n", " map_params = xo.optimize(start=map_params, vars=all_but)\n", "\n", " map_params = xo.optimize(start=map_params, vars=[period])\n", " map_params = xo.optimize(start=map_params, vars=all_but)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'period': array(272.00114311),\n", " 'phi_angle__': array([2.40980844, 3.76684475]),\n", " 'logs_lc': array(0.21291772),\n", " 'logasini': array(5.22158999),\n", " 'omega_angle__': array([ 3.61214231, -2.63679066]),\n", " 'eccen_interval__': array(0.03306212),\n", " 'mean': array(0.00075116),\n", " 'lognu': array([2.96926914, 3.07787136, 3.42757631]),\n", " 'phi': array(0.56913007),\n", " 'asini': array(185.2284613),\n", " 'omega': array(2.20136086),\n", " 'eccen': array(0.4574383),\n", " 'nu': array([19.47767893, 21.71213593, 30.80189809])}" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "map_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cool! These are the same results as in the first notebook. Note that you can combined the model with any other model you want, so long as it can be described in PyMC3." ] }, { "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 }