From 46298e8ca6f65a8cc6f2556950e62bd7d6613fb1 Mon Sep 17 00:00:00 2001 From: Sebastian Stammler Date: Mon, 30 Oct 2023 13:40:10 +0100 Subject: [PATCH] Adding MCMC notebook --- presentations/2023_10_30_MCMC.ipynb | 905 ++++++++++++++++++++++++++++ 1 file changed, 905 insertions(+) create mode 100644 presentations/2023_10_30_MCMC.ipynb diff --git a/presentations/2023_10_30_MCMC.ipynb b/presentations/2023_10_30_MCMC.ipynb new file mode 100644 index 0000000..fd1f94f --- /dev/null +++ b/presentations/2023_10_30_MCMC.ipynb @@ -0,0 +1,905 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "272c0c5c", + "metadata": {}, + "source": [ + "# MCMC Fitting using \"emcee: The MCMC Hammer\"\n", + "\n", + "Website: https://emcee.readthedocs.io/en/stable/\n", + "\n", + "ArXiv: https://arxiv.org/abs/1202.3665" + ] + }, + { + "cell_type": "markdown", + "id": "d87a5295", + "metadata": {}, + "source": [ + "# Lets fit a line!" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "35d46b4c", + "metadata": {}, + "outputs": [], + "source": [ + "import emcee\n", + "import corner\n", + "import numpy as np\n", + "from astropy.io import ascii\n", + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "e01a4d76", + "metadata": {}, + "outputs": [], + "source": [ + "# read in mock data from file\n", + "filename = 'linefit.mockdata.txt'\n", + "data = ascii.read(filename)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "c9cd294a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
Table length=100\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
xdataydataxuncyunc
float64float64float64float64
9.890271.135520.129160.21744
11.918392.022990.113150.21007
9.659291.641470.113970.18853
9.907740.947650.122350.2157
10.254451.331870.089490.18246
10.999391.587510.085820.19437
10.50921.793990.099310.24522
10.96631.905540.088960.22689
11.061011.739350.118590.15621
10.770351.614750.087010.16747
............
9.222650.933540.088740.15357
10.723821.919140.092640.16941
10.150581.612610.163760.17318
10.354991.174810.107810.18718
10.135341.455730.14240.19267
9.967061.155880.141720.23288
9.444251.195980.087570.21799
10.453921.788590.120240.17902
11.447911.844940.126820.20527
10.592161.417040.132260.15936
" + ], + "text/plain": [ + "\n", + " xdata ydata xunc yunc \n", + "float64 float64 float64 float64\n", + "-------- ------- ------- -------\n", + " 9.89027 1.13552 0.12916 0.21744\n", + "11.91839 2.02299 0.11315 0.21007\n", + " 9.65929 1.64147 0.11397 0.18853\n", + " 9.90774 0.94765 0.12235 0.2157\n", + "10.25445 1.33187 0.08949 0.18246\n", + "10.99939 1.58751 0.08582 0.19437\n", + " 10.5092 1.79399 0.09931 0.24522\n", + " 10.9663 1.90554 0.08896 0.22689\n", + "11.06101 1.73935 0.11859 0.15621\n", + "10.77035 1.61475 0.08701 0.16747\n", + " ... ... ... ...\n", + " 9.22265 0.93354 0.08874 0.15357\n", + "10.72382 1.91914 0.09264 0.16941\n", + "10.15058 1.61261 0.16376 0.17318\n", + "10.35499 1.17481 0.10781 0.18718\n", + "10.13534 1.45573 0.1424 0.19267\n", + " 9.96706 1.15588 0.14172 0.23288\n", + " 9.44425 1.19598 0.08757 0.21799\n", + "10.45392 1.78859 0.12024 0.17902\n", + "11.44791 1.84494 0.12682 0.20527\n", + "10.59216 1.41704 0.13226 0.15936" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#lets have a look at the data\n", + "data" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "89a47cb7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# display the data that we are working with\n", + "def plot_data( x, y, yunc=None, xunc=None ):\n", + " if not yunc is None or not xunc is None :\n", + " plt.errorbar( x, y, yunc, xunc, fmt='none', zorder=1,capsize=3 )\n", + " plt.scatter( x, y, 30, 'k', zorder=2 )\n", + " plt.xlabel( 'x' )\n", + " plt.ylabel( 'y' )\n", + " plt.draw()\n", + " \n", + "#plot\n", + "plot_data( data['xdata'], data['ydata'] )" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "3319c2e7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'result from np.polyfit: m = 0.422847, b = -2.921065')" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#do a fit using a blackbox\n", + "result = np.polyfit(data['xdata'], data['ydata'], deg=1, w=1./data['yunc']**2.)\n", + "\n", + "# and now plot the data and the fit\n", + "def plot_line( result, col = 'red' ):\n", + " plt.plot( plt.xlim(), np.polyval( result, plt.xlim() ), color=col )\n", + "\n", + "plot_data( data['xdata'], data['ydata'],data['yunc'] )\n", + "plot_line( result )\n", + "plt.title( 'result from np.polyfit: m = %.6f, b = %.6f' % tuple( result ) )" + ] + }, + { + "cell_type": "markdown", + "id": "beea8696", + "metadata": {}, + "source": [ + "Since the solution in this case is analytic (e.g. see Hogg 2010 https://arxiv.org/abs/1008.4686) lets compare the result of polyfit with the analytic results:" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "de11a9cb", + "metadata": {}, + "outputs": [], + "source": [ + "def least_squares_Yerrors(X_vals, Y_vals, Y_error):\n", + " '''linear fit for points with yerrors and returning error of fitline\n", + " input: all points as 1D arrays'''\n", + " \n", + " Y = np.matrix(Y_vals)\n", + " C = np.zeros((X_vals.size,X_vals.size))\n", + " A = np.matrix(np.transpose(np.array([np.ones(X_vals.size),X_vals])))\n", + " \n", + " np.fill_diagonal(C,Y_error**2)\n", + "\n", + " Cinv = np.linalg.inv(C)\n", + " X = np.linalg.inv(A.T*Cinv*A)*(A.T*Cinv*Y.T)\n", + " \n", + " c = np.linalg.inv(A.T*Cinv*A)\n", + " c[c<0] = np.nan\n", + " Var = np.sqrt(c)\n", + " return np.array([X.item(1), X.item(0), Var.item(1,1), Var.item(0,0)]) #gradient, intercept, error of gradient, ,error of intercept\n", + "\n", + "# get analytic results\n", + "Analytic_results = least_squares_Yerrors(data['xdata'], data['ydata'], data['yunc'])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "59ecf7c6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "result from np.polyfit: m = 0.422847, b = -2.921065\n", + "result from least squares: m = 0.408418, b = -2.779802\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_data( data['xdata'], data['ydata'],data['yunc'] )\n", + "plot_line( result )\n", + "plot_line( Analytic_results[:2], 'green' )\n", + "\n", + "print('result from np.polyfit: m = %.6f, b = %.6f' % tuple( result ) )\n", + "print('result from least squares: m = %.6f, b = %.6f' % tuple( Analytic_results[:2] ) )" + ] + }, + { + "cell_type": "markdown", + "id": "04c3904d", + "metadata": {}, + "source": [ + "Summary: be aware of blackboxes!" + ] + }, + { + "cell_type": "markdown", + "id": "52d6d457", + "metadata": {}, + "source": [ + "# Now lets use MCMC" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "13bc4566", + "metadata": {}, + "outputs": [], + "source": [ + "# first define some functions\n", + "def log_likelihood( param_values, x, y, dy ):\n", + " # a gaussian likelihood function. very similar to least squares\n", + " # note for emcee it has to be in log!\n", + " gradient, intercept = param_values\n", + " logL = -0.5 * ( gradient * x + intercept - y )**2. / dy**2\n", + " return np.nansum(logL)\n", + "\n", + "def lnprior(param_values):\n", + " # a simple flat prior, requesting the values to be between +- 10\n", + " for i in param_values:\n", + " if (abs(i) > 100): return -np.inf\n", + " return 0\n", + "\n", + "def lnprob(param_values, x, y, dy):\n", + " lp = lnprior(param_values) # check priors\n", + " \n", + " if not np.isfinite(lp):\n", + " return -np.inf # return if not in range of prior\n", + " \n", + " # calc likelihood if parameters are in the range of the priors\n", + " like = log_likelihood(param_values, x, y, dy)\n", + " return like\n", + "\n", + "def start_pos(ndim, nwalkers, start_pos_type):\n", + " # define starting positions for walkers\n", + " if start_pos_type == 'gaussian': #gaussian ball around certain position\n", + " gradient, intercept = 1, 1 \n", + " pos = [[ gradient, intercept] + 1e-2*np.random.randn(ndim) for i in range(nwalkers)]\n", + " if start_pos_type == 'random': #randomly distributed within prior ranges\n", + " pmin = np.array([-10,-10])\n", + " pmax = np.array([10,10])\n", + " pos = [pmin + (pmax-pmin)*np.random.rand(ndim) for i in range(nwalkers)]\n", + " # other set ups possible\n", + " return pos\n", + "\n", + "ndim = 2 #number of free parameters\n", + "steps = 100 #number of steps\n", + "nwalkers = 5 #usually you would use ~50-100\n", + "args = [data['xdata'], data['ydata'],data['yunc'] ]\n", + "start_pos_type = 'random'\n", + "pos = start_pos(ndim, nwalkers, start_pos_type)\n", + "\n", + "#set up sampler\n", + "sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=args)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "092c9cdb", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 100/100 [00:00<00:00, 1316.97it/s]\n" + ] + } + ], + "source": [ + "#run MCMC\n", + "state = sampler.run_mcmc(pos, steps, progress=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "7c64853e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot walkers\n", + "def plot_walker(samples, like, labels):\n", + " ndim = np.shape(samples)[-1]\n", + " fig, axes = plt.subplots(ndim+1,figsize=(10, 5))\n", + " \n", + " for i in range(ndim):\n", + " ax = axes[i]\n", + " ax.plot(samples[:, :, i], alpha=0.5)\n", + " ax.set_xlim(0, len(samples))\n", + " ax.set_ylabel(labels[i])\n", + " ax.yaxis.set_label_coords(-0.1, 0.5)\n", + "\n", + " ax = axes[ndim]\n", + " ax.set_xlim(0, len(samples))\n", + "\n", + " lim_max = np.max(like[-1,:])\n", + " plt.ylim([lim_max-100, lim_max+25])\n", + " ax.set_ylabel('log(like)')\n", + " ax.plot(like[:,:])\n", + " ax.yaxis.set_label_coords(-0.1, 0.5)\n", + " axes[-1].set_xlabel(\"Step number\");\n", + " plt.show()\n", + " \n", + "#plot\n", + "plot_walker(sampler.get_chain(), sampler.get_log_prob(), ['Gradient', 'Intercept'])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "d2ae3186", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:root:Too few points to create valid contours\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot corner\n", + "def plot_corner(sampler):\n", + " burnin = int(np.shape(sampler.get_chain())[0]/10)\n", + " \n", + " samples = sampler.chain[:, burnin:, :].reshape((-1, ndim)) \n", + " \n", + " gradient, intercept = map(lambda v: (v[1], v[2]-v[1], v[1]-v[0]),\n", + " zip(*np.percentile(samples, [16, 50, 84],axis=0)))\n", + "\n", + " fig = corner.corner(samples[:,:],labels=['Gradient', 'Intercept'], truths=[gradient[0], intercept[0]], quantiles=[0.16, 0.5, 0.84],\n", + " show_titles=True, title_kwargs={\"fontsize\": 18},label_kwargs={\"fontsize\": 16}, usetex=True)\n", + " plt.show()\n", + " \n", + "#plot\n", + "plot_corner(sampler)" + ] + }, + { + "cell_type": "markdown", + "id": "a104fb23", + "metadata": {}, + "source": [ + "A good start, but it seems it is not finished yet. Lets continue!" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "7a915411", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 10000/10000 [00:05<00:00, 1920.11it/s]\n" + ] + } + ], + "source": [ + "#continue MCMC\n", + "state = sampler.run_mcmc(None, 10000, progress=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "6c9b028d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot\n", + "plot_walker(sampler.get_chain(), sampler.get_log_prob(),['Gradient', 'Intercept'])\n", + "plot_corner(sampler)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "3a2270e3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "result from np.polyfit: m = 0.422847, b = -2.921065\n", + "result from least squares: m = 0.408418, b = -2.779802\n", + "result from MCMC: m = 0.407371, b = -2.769722\n" + ] + } + ], + "source": [ + "# get results\n", + "def get_best_fit_values(sampler):\n", + " burnin = int(np.shape(sampler.get_chain())[0]/10) #remove firs 10% as burnin\n", + " samples = sampler.chain[:, burnin:, :].reshape((-1, ndim)) \n", + " \n", + " gradient, intercept = map(lambda v: (v[1], v[2]-v[1], v[1]-v[0]),\n", + " zip(*np.percentile(samples, [16, 50, 84], axis=0)))\n", + " return np.array([gradient[0], intercept[0]])\n", + " \n", + "MCMC_results = get_best_fit_values(sampler)\n", + "print('result from np.polyfit: m = %.6f, b = %.6f' % tuple( result ) )\n", + "print('result from least squares: m = %.6f, b = %.6f' % tuple( Analytic_results[:2] ) )\n", + "print('result from MCMC: m = %.6f, b = %.6f' % tuple( MCMC_results ) )" + ] + }, + { + "cell_type": "markdown", + "id": "724a334b", + "metadata": {}, + "source": [ + "### How can we validate the results? - has it converged?\n", + "-> we need to calculate the autocorrelation time tau" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "c78c366e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# calculate integrated auto-correlation function as described by the authors on the website\n", + "def next_pow_two(n):\n", + " i = 1\n", + " while i < n:\n", + " i = i << 1\n", + " return i\n", + "\n", + "def autocorr_new(y, c=5.0):\n", + " f = np.zeros(y.shape[1])\n", + " for yy in y:\n", + " f += autocorr_func_1d(yy)\n", + " f /= len(y)\n", + " taus = 2.0 * np.cumsum(f) - 1.0\n", + " window = auto_window(taus, c)\n", + " return taus[window]\n", + "\n", + "def autocorr_gw2010(y, c=5.0):\n", + " f = autocorr_func_1d(np.mean(y, axis=0))\n", + " taus = 2.0 * np.cumsum(f) - 1.0\n", + " window = auto_window(taus, c)\n", + " return taus[window]\n", + "\n", + "def auto_window(taus, c):\n", + " m = np.arange(len(taus)) < c * taus\n", + " if np.any(m):\n", + " return np.argmin(m)\n", + " return len(taus) - 1\n", + "\n", + "def autocorr_func_1d(x, norm=True):\n", + " x = np.atleast_1d(x)\n", + " if len(x.shape) != 1:\n", + " raise ValueError(\"invalid dimensions for 1D autocorrelation function\")\n", + " n = next_pow_two(len(x))\n", + "\n", + " # Compute the FFT and then (from that) the auto-correlation function\n", + " f = np.fft.fft(x - np.mean(x), n=2 * n)\n", + " acf = np.fft.ifft(f * np.conjugate(f))[: len(x)].real\n", + " acf /= 4 * n\n", + "\n", + " # Optionally normalize\n", + " if norm:\n", + " acf /= acf[0]\n", + " return acf\n", + "\n", + "def calc_and_plot_autoccorrelation_time(chain, title='test', save_path=False):\n", + " ''' Calculate and plot the autocorrelation time as shown on the emcee website. '''\n", + " \n", + " N = np.exp(np.linspace(np.log(100), np.log(chain.shape[1]), 10)).astype(int)\n", + " gw2010 = np.empty(len(N))\n", + " new = np.empty(len(N))\n", + " for i, n in enumerate(N):\n", + " gw2010[i] = autocorr_gw2010(chain[:, :n])\n", + " new[i] = autocorr_new(chain[:, :n])\n", + " \n", + " plot_autocorrelation_time(N, gw2010, new, title, save_path)\n", + "\n", + "def plot_autocorrelation_time(N,gw2010,new,title='test',save_path=False):\n", + " # Plot the comparisons\n", + " plt.rcParams.update({'font.size': 9})\n", + " plt.rc('font',family='serif')\n", + " plt.figure(figsize=(8,6))\n", + " plt.loglog(N, gw2010, \"o-\", label=\"Goodman and Weare (2010)\")\n", + " plt.loglog(N, new, \"o-\", label=\"Average over walkers (see emcee website)\")\n", + " ylim = plt.gca().get_ylim()\n", + " plt.plot(N, N / 50.0, \"--k\", label=r\"$\\tau = N/50$\")\n", + " plt.ylim(ylim)\n", + " plt.xlabel(\"Number of samples, $N$\")\n", + " plt.ylabel(r\"$\\tau$ estimates\")\n", + " plt.legend(fontsize=14)\n", + " plt.title(title)\n", + " if save_path != False:\n", + " plt.savefig(save_path+title+\"autocorrelation.png\") \n", + " plt.show()\n", + "\n", + "# plot \n", + "calc_and_plot_autoccorrelation_time(sampler.get_chain()[:, :, 0].T, \"Linear Test fit\")" + ] + }, + { + "cell_type": "markdown", + "id": "7bbf5144", + "metadata": {}, + "source": [ + "Summary: we have succesfully fitted a line and convinced ourselves that this is indeed the correct solution." + ] + }, + { + "cell_type": "markdown", + "id": "0805efe9", + "metadata": {}, + "source": [ + "# Now with 2d-errors:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d0fd995d", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_covariant_data(x, y, dx, dy):\n", + " plt.scatter( x, y,color='black')\n", + " plt.xlabel('x')\n", + " plt.ylabel('y')\n", + " t = np.linspace(0, 2*np.pi, 20)\n", + " for i in range(len(x)):\n", + " plt.plot( x[i]+dx[i]*np.cos(t) , y[i]+dy[i]*np.sin(t),color='blue',alpha=0.5 )\n", + "#plot\n", + "plot_covariant_data(data['xdata'], data['ydata'],data['xunc'], data['yunc'])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6cdee2b1", + "metadata": {}, + "outputs": [], + "source": [ + "def start_pos_2dgauss(ndim, nwalkers, start_pos_type):\n", + " # define starting positions for walkers\n", + " x0, y0, xstd, ystd, corr = first_guess\n", + " pos = [[ x0, y0, xstd, ystd, corr] + 1e-1*np.random.randn(ndim) for i in range(nwalkers)]\n", + " return pos\n", + "\n", + "def log_likelihood_coverr( param_values, x, y, dx, dy, rho=0):\n", + " # parameters describe a covariant 2d Gaussian distribution\n", + " x0, y0, xstd, ystd, corr = param_values\n", + "\n", + " xxterm = dx * dx + xstd * xstd\n", + " xyterm = rho * dx * dy + corr * xstd * ystd\n", + " yyterm = dy * dy + ystd * ystd\n", + " \n", + " # construct inverse covariance matrix\n", + " det = xxterm * yyterm - xyterm * xyterm\n", + " icov = np.array( [[ yyterm, -xyterm],\n", + " [ -xyterm, xxterm ]] \n", + " ) / det\n", + " \n", + " # and use this to compute the likelihood\n", + " xterm, yterm = x - x0, y - y0\n", + " logL = -0.5 * ( xterm * icov[ 0, 0 ] * xterm\n", + " + xterm * icov[ 0, 1 ] * yterm\n", + " + yterm * icov[ 1, 0 ] * xterm\n", + " + yterm * icov[ 1, 1 ] * yterm \n", + " ) - 0.5 * np.log( det )\n", + " \n", + " return np.nansum( logL )\n", + "\n", + "def lnprob(param_values, x, y, dx, dy):\n", + " lp = lnprior(param_values) # check priors\n", + " \n", + " if not np.isfinite(lp):\n", + " return -np.inf # return if not in range of prior\n", + " \n", + " # calc likelihood if parameters are in the range of the priors\n", + " like = log_likelihood_coverr(param_values, x, y, dx, dy)\n", + " return like\n", + "\n", + "#first guess for parameters\n", + "first_guess = ( np.mean( data['xdata'] ), np.mean( data['ydata'] ), \n", + " np.std( data['xdata'] ), np.std( data['ydata'] ), np.corrcoef(data['xdata'], data['ydata'])[0,1] )\n", + "\n", + "#some parameters\n", + "ndim = 5 #number of free parameters\n", + "steps = 1000 #number of steps\n", + "nwalkers = 20 #usually you would use ~50-100\n", + "args = [data['xdata'], data['ydata'],data['xunc'],data['yunc'] ]\n", + "start_pos_type = 'gaussian'\n", + "pos = start_pos_2dgauss(ndim, nwalkers, start_pos_type)\n", + "\n", + "#set up sampler\n", + "sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=args)\n", + "\n", + "#run MCMC\n", + "state = sampler.run_mcmc(pos, steps, progress=True)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0d7c82ba", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_corner2dgauss(sampler):\n", + " burnin = int(np.shape(sampler.get_chain())[0]/10) #remove firs 10% as burnin\n", + " \n", + " samples = sampler.chain[:, burnin:, :].reshape((-1, ndim)) \n", + " \n", + " x0, y0, xstd, ystd, corr = map(lambda v: (v[1], v[2]-v[1], v[1]-v[0]),\n", + " zip(*np.percentile(samples, [16, 50, 84],axis=0)))\n", + "\n", + " fig = corner.corner(samples[:,:],labels=['x0', 'y0', 'xstd', 'ystd', 'corr'], truths=[x0[0], y0[0], xstd[0], ystd[0], corr[0]], quantiles=[0.16, 0.5, 0.84],\n", + " show_titles=True, title_kwargs={\"fontsize\": 18},label_kwargs={\"fontsize\": 16}, usetex=True)\n", + " plt.show()\n", + "\n", + "#plot\n", + "plot_walker(sampler.get_chain(), sampler.get_log_prob(),['x0', 'y0', 'xstd', 'ystd', 'corr'])\n", + "plot_corner2dgauss(sampler)\n", + "\n", + "calc_and_plot_autoccorrelation_time(sampler.get_chain()[:, :, 0].T, \"2d gauss fit\")" + ] + }, + { + "cell_type": "markdown", + "id": "f49f92af", + "metadata": {}, + "source": [ + "### The gaussian looks great, but how do we get our gradient and intercept values?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cf2d4a8a", + "metadata": {}, + "outputs": [], + "source": [ + "def get_best_fit_values2dgauss(sampler):\n", + " burnin = int(np.shape(sampler.get_chain())[0]/10) #remove first 10% as burnin\n", + " samples = sampler.chain[:, burnin:, :].reshape((-1, ndim)) \n", + " \n", + " x0, y0, xstd, ystd, corr = map(lambda v: (v[1], v[2]-v[1], v[1]-v[0]),\n", + " zip(*np.percentile(samples, [16, 50, 84],axis=0)))\n", + " \n", + " return x0, y0, xstd, ystd, corr \n", + "\n", + "def get_line(x0, y0, xstd, ystd, corr):\n", + " # get gradient and intercept values - see https://en.wikipedia.org/wiki/Multivariate_normal_distribution\n", + " gradient = corr[0] * ystd[0]/xstd[0]\n", + " intercept = y0[0] - gradient*x0[0]\n", + " return gradient, intercept\n", + "\n", + "# get best fitting values\n", + "x0, y0, xstd, ystd, corr = get_best_fit_values2dgauss(sampler)\n", + "# get line\n", + "gradient, intercept = get_line(x0, y0, xstd, ystd, corr)\n", + "\n", + "# plot\n", + "plot_covariant_data(data['xdata'], data['ydata'],data['xunc'], data['yunc'])\n", + "plot_line( [gradient, intercept], col = 'green' )\n", + "\n", + "print('2d gaussian result from MCMC: m = %.6f, b = %.6f' % tuple( [gradient, intercept] ) )\n" + ] + }, + { + "cell_type": "markdown", + "id": "e1af2d1a", + "metadata": {}, + "source": [ + "### Additional stuff that might come in handy:" + ] + }, + { + "cell_type": "markdown", + "id": "0ff76673", + "metadata": {}, + "source": [ + "#### Emcee also works in paralell using multiprocessing (MPI is possible as well):" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "30fa020f", + "metadata": {}, + "outputs": [], + "source": [ + "from multiprocessing import Pool\n", + "parallel = False\n", + "if parallel:\n", + " with Pool(cores) as pool:\n", + " sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=args, pool=pool)\n", + " if restart:\n", + " state = sampler.run_mcmc(None, steps, progress=True)\n", + " else:\n", + " state = sampler.run_mcmc(pos, steps, progress=True)" + ] + }, + { + "cell_type": "markdown", + "id": "8fbe6d2a", + "metadata": {}, + "source": [ + "#### Sometimes it is neccesary to reset the walkers:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "20cfaeb3", + "metadata": {}, + "outputs": [], + "source": [ + "reset_walkers = False\n", + "if reset_walkers:\n", + " pos, prob = state.coords, state.log_prob\n", + " keep = ( prob.max() - prob ) < 50 # keep walkers which are within certain range of max-likelihood.\n", + " print( f' {np.sum(keep)}/{keep.size} walkers are within range of max lnprob.' )\n", + " if np.any( ~keep ):\n", + " print( 'resetting walkers' )\n", + " okay = np.mean( pos[ keep ], axis=0 )\n", + " bump = np.std( pos[ keep ], axis=0 ) \n", + " reroll = okay + 2.*bump*np.random.randn(nwalkers, ndim)\n", + " pos[ ~keep ] = reroll[ ~keep ]\n", + " sampler.reset() \n", + " if parallel:\n", + " with Pool(cores) as pool:\n", + " sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=args, pool=pool, backend=backend)\n", + " state = sampler.run_mcmc(pos, steps_restart, progress=True)\n", + " else:\n", + " sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=args, backend=backend)\n", + " state = sampler.run_mcmc(pos, steps_restart, progress=True) \n", + " print(\"Size: {0}\".format(backend.iteration))" + ] + }, + { + "cell_type": "markdown", + "id": "3586a9da", + "metadata": {}, + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}