{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## K2-24 Fitting & MCMC\n", "\n", "Using the K2-24 (EPIC-203771098) dataset, we demonstrate how to use the radvel API to:\n", "\n", "- perform a max-likelihood fit\n", "- do an MCMC exploration of the posterior space\n", "- plot the results\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Circular Orbits\n", "Perform some preliminary imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import os\n", "\n", "import matplotlib\n", "import numpy as np\n", "import pylab as pl\n", "import pandas as pd\n", "from scipy import optimize\n", "\n", "import corner\n", "\n", "import radvel\n", "import radvel.likelihood\n", "from radvel.plot import orbit_plots, mcmc_plots\n", "\n", "matplotlib.rcParams['font.size'] = 14" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a function that we will use to initialize the ``radvel.Parameters`` and ``radvel.RVModel`` objects" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def initialize_model():\n", " time_base = 2420\n", " params = radvel.Parameters(2,basis='per tc secosw sesinw logk') # number of planets = 2\n", " params['per1'] = radvel.Parameter(value=20.885258)\n", " params['tc1'] = radvel.Parameter(value=2072.79438)\n", " params['secosw1'] = radvel.Parameter(value=0.01)\n", " params['sesinw1'] = radvel.Parameter(value=0.01)\n", " params['logk1'] = radvel.Parameter(value=1.1)\n", " params['per2'] = radvel.Parameter(value=42.363011)\n", " params['tc2'] = radvel.Parameter(value=2082.62516)\n", " params['secosw2'] = radvel.Parameter(value=0.01)\n", " params['sesinw2'] = radvel.Parameter(value=0.01)\n", " params['logk2'] = radvel.Parameter(value=1.1)\n", " mod = radvel.RVModel(params, time_base=time_base)\n", " mod.params['dvdt'] = radvel.Parameter(value=-0.02)\n", " mod.params['curv'] = radvel.Parameter(value=0.01)\n", " return mod\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a simple plotting function to display the data, model, and residuals" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def plot_results(like):\n", " fig = pl.figure(figsize=(12,4))\n", " fig = pl.gcf()\n", " pl.errorbar(\n", " like.x, like.model(t)+like.residuals(), \n", " yerr=like.yerr, fmt='o'\n", " )\n", " pl.plot(ti, like.model(ti))\n", " pl.xlabel('Time')\n", " pl.ylabel('RV')\n", " pl.draw()\n", " fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load up the K2-24 data. In this example the RV data and parameter starting guesses are stored in an csv file" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "path = os.path.join(radvel.DATADIR,'epic203771098.csv')\n", "rv = pd.read_csv(path)\n", "\n", "t = np.array(rv.t)\n", "vel = np.array(rv.vel)\n", "errvel = rv.errvel\n", "ti = np.linspace(rv.t.iloc[0]-5,rv.t.iloc[-1]+5,100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit the K2-24 RV data assuming:\n", "\n", "1. circular orbits\n", "2. fixed period, time of transit\n", "\n", "Set initial guesses for the parameters. Setting vary=False and linear=True on the gamma parameters will cause them to be solved for analytically following the technique described [here](http://cadence.caltech.edu/~bfulton/share/Marginalizing_the_likelihood.pdf) (Thanks Tim Brandt!). If you use this you will need to calculate the uncertainties on gammas manually following that derivation." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "mod = initialize_model()\n", "like = radvel.likelihood.RVLikelihood(mod, t, vel, errvel)\n", "like.params['gamma'] = radvel.Parameter(value=0.1, vary=False, linear=True)\n", "like.params['jit'] = radvel.Parameter(value=1.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Choose which parameters to vary or fix. By default, all `radvel.Parameter` objects will vary, so you only have to worry about setting the ones you want to hold fixed." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parameter value vary\n", "per1 20.8853 False\n", "tc1 2072.79 False\n", "secosw1 0.01 False\n", "sesinw1 0.01 False\n", "logk1 1.1 True\n", "per2 42.363 False\n", "tc2 2082.63 False\n", "secosw2 0.01 False\n", "sesinw2 0.01 False\n", "logk2 1.1 True\n", "dvdt -0.02 True\n", "curv 0.01 True\n", "gamma 0.1 False\n", "jit 1 True\n", "tp1 2070.18 \n", "e1 0.0002 \n", "w1 0.785398 \n", "k1 3.00417 \n", "tp2 2077.33 \n", "e2 0.0002 \n", "w2 0.785398 \n", "k2 3.00417 \n", "\n" ] } ], "source": [ "like.params['secosw1'].vary = False\n", "like.params['sesinw1'].vary = False\n", "like.params['secosw2'].vary = False\n", "like.params['sesinw2'].vary = False\n", "like.params['per1'].vary = False\n", "like.params['per2'].vary = False\n", "like.params['tc1'].vary = False\n", "like.params['tc2'].vary = False\n", "print(like)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the initial model" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.figure()\n", "plot_results(like)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Well that solution doesn't look very good. Now lets try to optimize the parameters set to vary by maximizing the likelihood.\n", "\n", "Initialize a ``radvel.Posterior`` object and add some priors" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "post = radvel.posterior.Posterior(like)\n", "post.priors += [radvel.prior.Gaussian( 'jit', np.log(3), 0.5)]\n", "post.priors += [radvel.prior.Gaussian( 'logk2', np.log(5), 10)]\n", "post.priors += [radvel.prior.Gaussian( 'logk1', np.log(5), 10)]\n", "post.priors += [radvel.prior.Gaussian( 'gamma', 0, 10)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maximize the likelihood and print the updated posterior object" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parameter value vary\n", "per1 20.8853 False\n", "tc1 2072.79 False\n", "secosw1 0.01 False\n", "sesinw1 0.01 False\n", "logk1 1.5503 True\n", "per2 42.363 False\n", "tc2 2082.63 False\n", "secosw2 0.01 False\n", "sesinw2 0.01 False\n", "logk2 1.36832 True\n", "dvdt -0.0295124 True\n", "curv 0.00183616 True\n", "gamma -4.013 False\n", "jit 2.08458 True\n", "tp1 2070.18 \n", "e1 0.0002 \n", "w1 0.785398 \n", "k1 4.71289 \n", "tp2 2077.33 \n", "e2 0.0002 \n", "w2 0.785398 \n", "k2 3.92875 \n", "\n", "Priors\n", "------\n", "Gaussian prior on jit, mu=1.0986122886681096, sigma=0.5\n", "Gaussian prior on logk2, mu=1.6094379124341003, sigma=10\n", "Gaussian prior on logk1, mu=1.6094379124341003, sigma=10\n", "Gaussian prior on gamma, mu=0, sigma=10\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res = optimize.minimize(\n", " post.neglogprob_array, # objective function is negative log likelihood\n", " post.get_vary_params(), # initial variable parameters\n", " method='Nelder-Mead', # Powell also works\n", " )\n", "\n", "plot_results(like) # plot best fit model\n", "print(post)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks much better!\n", "\n", "Now lets use Markov-Chain Monte Carlo (MCMC) to estimate the parameter uncertainties.\n", "In this example we will run 400 steps for the sake of speed but in practice you should let it run at least 10000 steps and ~50 walkers. If the chains converge before they reach the maximum number of allowed steps it will automatically stop." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "200000/4000000 (5.0%) steps complete; Running 21445.43 steps/s; Mean acceptance rate = 55.4%; Min Auto Factor = 75; Max Auto Relative-Change = inf; Min Tz = 18327.9; Max G-R = 1.002\n", "Discarding burn-in now that the chains are marginally well-mixed\n", "\n", "460000/4000000 (11.5%) steps complete; Running 17740.35 steps/s; Mean acceptance rate = 55.0%; Min Auto Factor = 90; Max Auto Relative-Change = 0.0245; Min Tz = 16833.8; Max G-R = 1.002\n", "Chains are well-mixed after 460000 steps! MCMC completed in 23.4 seconds\n", "\n", "\n" ] } ], "source": [ "df = radvel.mcmc(post,nwalkers=50,nrun=10000,savename='rawchains.h5')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now lets make a corner plot to display the posterior distributions." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Corner = mcmc_plots.CornerPlot(post, df)\n", "Corner.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Eccentric Orbits\n", "\n", "Allow ``secosw`` and ``sesinw`` parameters to vary" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "like.params['secosw1'].vary = True\n", "like.params['sesinw1'].vary = True\n", "like.params['secosw2'].vary = True\n", "like.params['sesinw2'].vary = True" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Add an ``EccentricityPrior`` to ensure that eccentricity stays below 1.0. In this example we will also add a Gaussian prior on the jitter (``jit``) parameter with a center at 2.0 m/s and a width of 0.1 m/s." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "post = radvel.posterior.Posterior(like)\n", "post.priors += [radvel.prior.EccentricityPrior( 2 )]\n", "post.priors += [radvel.prior.Gaussian( 'jit', np.log(2), np.log(0.1))]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Optimize the parameters by maximizing the likelihood and plot the result.\n", "\n", "The warning about an invalid value can be safely ignored." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "parameter value vary\n", "per1 20.8853 False\n", "tc1 2072.79 False\n", "secosw1 0.398562 True\n", "sesinw1 -0.403908 True\n", "logk1 1.81293 True\n", "per2 42.363 False\n", "tc2 2082.63 False\n", "secosw2 -0.1305 True\n", "sesinw2 0.367332 True\n", "logk2 1.48343 True\n", "dvdt -0.0299603 True\n", "curv 0.00205612 True\n", "gamma -4.51743 False\n", "jit 1.956 True\n", "tp1 2066.73 \n", "e1 0.321993 \n", "w1 -0.792059 \n", "k1 6.12836 \n", "tp2 2084.31 \n", "e2 0.151963 \n", "w2 1.91215 \n", "k2 4.40803 \n", "\n", "Priors\n", "------\n", "e1 constrained to be < 0.99\n", "e2 constrained to be < 0.99\n", "Gaussian prior on jit, mu=0.6931471805599453, sigma=-2.3025850929940455\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "invalid value encountered in scalar multiply\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res = optimize.minimize(\n", " post.neglogprob_array, \n", " post.get_vary_params(), \n", " method='Powell'\n", ")\n", "\n", "plot_results(like)\n", "print(post)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the final solution" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(
,\n", " [,\n", " ,\n", " ,\n", " ])" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "RVPlot = orbit_plots.MultipanelPlot(post, legend=False)\n", "RVPlot.plot_multipanel()" ] } ], "metadata": { "kernelspec": { "display_name": "radvel", "language": "python", "name": "radvel" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.18" }, "pycharm": { "stem_cell": { "cell_type": "raw", "metadata": { "collapsed": false }, "source": [] } } }, "nbformat": 4, "nbformat_minor": 4 }