{ "cells": [ { "cell_type": "markdown", "id": "liquid-cosmetic", "metadata": {}, "source": [ "# Example of MCMC in Python" ] }, { "cell_type": "code", "execution_count": 1, "id": "worst-husband", "metadata": {}, "outputs": [], "source": [ "import os\n", "import numpy as np\n", "import pandas as pd\n", "%matplotlib inline\n", "from matplotlib import pyplot as plt\n", "from scipy.optimize import minimize\n", "import emcee as mc" ] }, { "cell_type": "markdown", "id": "naval-circuit", "metadata": {}, "source": [ "Read data in" ] }, { "cell_type": "code", "execution_count": 2, "id": "progressive-source", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'C:\\\\LocalData\\\\aipentti\\\\OneDrive - University of Helsinki\\\\Kurssit\\\\Oma opetus\\\\Tähtitieteen inversiomenetelmät (ja data-analyysi)\\\\Moniste\\\\Jupyter notebooks'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "os.getcwd()" ] }, { "cell_type": "code", "execution_count": 3, "id": "western-workstation", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\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", " \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", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
phase angle (deg)polarization (%)
03.10-1.00
15.25-1.33
26.90-0.40
315.30-1.10
415.30-1.00
.........
16448.6016.01
16548.7515.61
16649.0713.40
16749.0716.00
16849.0717.59
\n", "

169 rows × 2 columns

\n", "
" ], "text/plain": [ " phase angle (deg) polarization (%)\n", "0 3.10 -1.00\n", "1 5.25 -1.33\n", "2 6.90 -0.40\n", "3 15.30 -1.10\n", "4 15.30 -1.00\n", ".. ... ...\n", "164 48.60 16.01\n", "165 48.75 15.61\n", "166 49.07 13.40\n", "167 49.07 16.00\n", "168 49.07 17.59\n", "\n", "[169 rows x 2 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data=pd.read_csv('dataRed.dat',sep='\\t')\n", "data" ] }, { "cell_type": "markdown", "id": "theoretical-standard", "metadata": {}, "source": [ "Show data" ] }, { "cell_type": "code", "execution_count": 4, "id": "adapted-carter", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "g=data.plot(x='phase angle (deg)',y='polarization (%)',kind='scatter')\n", "g.axhline(0,color='gray')" ] }, { "cell_type": "markdown", "id": "entitled-brick", "metadata": {}, "source": [ "Define function to be fitted" ] }, { "cell_type": "code", "execution_count": 5, "id": "peaceful-worker", "metadata": {}, "outputs": [], "source": [ "def f(x,b,c1,c2,a0):\n", " a=np.radians(x)\n", " return b * np.power(np.sin(a),c1) * np.power(np.cos(a/2),c2) * np.sin(a-np.radians(a0))" ] }, { "cell_type": "markdown", "id": "employed-leadership", "metadata": {}, "source": [ "Show data and function, find approximate parameter values just by eye" ] }, { "cell_type": "code", "execution_count": 6, "id": "fifty-timothy", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x=np.linspace(0,60,61)\n", "y=f(x,45,1,1,20)\n", "x2=data['phase angle (deg)']\n", "y2=data['polarization (%)']\n", "plt.plot(x,y)\n", "plt.scatter(x2,y2,color='green')\n", "plt.axhline(0,color='gray')" ] }, { "cell_type": "markdown", "id": "known-reputation", "metadata": {}, "source": [ "Start to fit, log-likelihood of the model" ] }, { "cell_type": "code", "execution_count": 7, "id": "dying-house", "metadata": {}, "outputs": [], "source": [ "def log_likelihood(theta,data):\n", " b,c1,c2,a0,sig = theta\n", " n = len(data)\n", " sig2 = np.power(sig,2)\n", " Sv = data.apply(lambda x: (x[1] - f(x[0],b,c1,c2,a0))**2,axis=1)\n", " S = Sv.sum()\n", " return -n/2*np.log(2*np.pi*sig2) - S/(2*sig2)" ] }, { "cell_type": "markdown", "id": "czech-bridge", "metadata": {}, "source": [ "Test direct minimization" ] }, { "cell_type": "code", "execution_count": 8, "id": "functioning-figure", "metadata": {}, "outputs": [ { "data": { "text/plain": [ " fun: 223.5135169321595\n", " hess_inv: array([[ 8.35962575e+01, 1.61953373e+00, 1.28760917e+01,\n", " 3.32976576e+00, -4.28763333e-03],\n", " [ 1.61953373e+00, 3.55674887e-02, 2.42801648e-01,\n", " 4.01285452e-02, -4.50592808e-05],\n", " [ 1.28760917e+01, 2.42801648e-01, 2.02687817e+00,\n", " 4.94886629e-01, -6.72660111e-04],\n", " [ 3.32976576e+00, 4.01285452e-02, 4.94886629e-01,\n", " 3.94090427e-01, -4.51823434e-04],\n", " [-4.28763333e-03, -4.50592808e-05, -6.72660111e-04,\n", " -4.51823434e-04, 2.49374500e-03]])\n", " jac: array([ 1.90734863e-06, -9.53674316e-06, -5.72204590e-06, -3.81469727e-06,\n", " 7.62939453e-06])\n", " message: 'Optimization terminated successfully.'\n", " nfev: 150\n", " nit: 20\n", " njev: 25\n", " status: 0\n", " success: True\n", " x: array([48.57718967, 0.89997341, 1.57961418, 19.92147351, 0.90812492])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nll = lambda *args: -log_likelihood(*args)\n", "sol = minimize(nll,[45,1,1,20,1],args=(data))\n", "sol" ] }, { "cell_type": "markdown", "id": "finite-control", "metadata": {}, "source": [ "Plot fit" ] }, { "cell_type": "code", "execution_count": 9, "id": "acknowledged-closure", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fb,fc1,fc2,fa0,fsig = sol.x\n", "x=np.linspace(0,60,61)\n", "y=f(x,fb,fc1,fc2,fa0)\n", "x2=data['phase angle (deg)']\n", "y2=data['polarization (%)']\n", "plt.plot(x,y)\n", "plt.scatter(x2,y2,color='green')\n", "plt.axhline(0,color='gray')" ] }, { "cell_type": "markdown", "id": "fitted-reward", "metadata": {}, "source": [ "Go to actual MCMC" ] }, { "cell_type": "markdown", "id": "rotary-watts", "metadata": {}, "source": [ "Prior function, or rather the log prior." ] }, { "cell_type": "code", "execution_count": 10, "id": "vanilla-trading", "metadata": {}, "outputs": [], "source": [ "def log_prior(theta):\n", " b,c1,c2,a0,sig = theta\n", " if 0 <= b <= 100 and 0 < c1 and 0 < c2 and 0 <= a0 <= 180 and 0 < sig:\n", " return 0.0\n", " return -np.inf" ] }, { "cell_type": "markdown", "id": "congressional-benchmark", "metadata": {}, "source": [ "Combine log-likelihood and log-prior" ] }, { "cell_type": "code", "execution_count": 11, "id": "premier-marks", "metadata": {}, "outputs": [], "source": [ "def log_probability(theta):\n", " lp = log_prior(theta)\n", " if not np.isfinite(lp):\n", " return -np.inf\n", " return lp + log_likelihood(theta, data)" ] }, { "cell_type": "markdown", "id": "coordinated-violation", "metadata": {}, "source": [ "Finally, start MCMC. Initialize from random value around ML solution. Do 10 chains." ] }, { "cell_type": "code", "execution_count": 12, "id": "moderate-antenna", "metadata": {}, "outputs": [], "source": [ "pos = sol.x + [3,0.1,0.1,3,0.1] * np.random.randn(10, 5)\n", "nwalkers, ndim = pos.shape" ] }, { "cell_type": "markdown", "id": "functional-alloy", "metadata": {}, "source": [ "Do sampler object" ] }, { "cell_type": "code", "execution_count": 13, "id": "literary-spoke", "metadata": {}, "outputs": [], "source": [ "sampler = mc.EnsembleSampler(nwalkers, ndim, log_probability)" ] }, { "cell_type": "markdown", "id": "knowing-appliance", "metadata": {}, "source": [ "Run MCMC sampling" ] }, { "cell_type": "code", "execution_count": 14, "id": "civil-professor", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████| 5000/5000 [05:08<00:00, 16.19it/s]\n" ] } ], "source": [ "sampler.run_mcmc(pos,5000,progress=True);" ] }, { "cell_type": "markdown", "id": "liable-transition", "metadata": {}, "source": [ "Get data from chains" ] }, { "cell_type": "code", "execution_count": 15, "id": "alpine-aviation", "metadata": {}, "outputs": [], "source": [ "samples = sampler.get_chain()" ] }, { "cell_type": "markdown", "id": "peaceful-abuse", "metadata": {}, "source": [ "Plot chains, only three to increase visibility" ] }, { "cell_type": "code", "execution_count": 16, "id": "conventional-laundry", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(5,figsize=[8,15])\n", "axs[0].plot(samples[:,0:3,0])\n", "axs[1].plot(samples[:,0:3,1])\n", "axs[2].plot(samples[:,0:3,2])\n", "axs[3].plot(samples[:,0:3,3])\n", "axs[4].plot(samples[:,0:3,4])" ] }, { "cell_type": "markdown", "id": "isolated-state", "metadata": {}, "source": [ "Let's forget burn-in here and see full posterior distributions over all chains" ] }, { "cell_type": "code", "execution_count": 17, "id": "tribal-storm", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 209., 1630., 7371., 14443., 13743., 8596., 2970., 833.,\n", " 185., 20.]),\n", " array([0.76662744, 0.80452279, 0.84241813, 0.88031348, 0.91820882,\n", " 0.95610417, 0.99399952, 1.03189486, 1.06979021, 1.10768555,\n", " 1.1455809 ]),\n", " )" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(5,figsize=[5,12])\n", "axs[0].hist(samples[:,:,0].flatten())\n", "axs[1].hist(samples[:,:,1].flatten())\n", "axs[2].hist(samples[:,:,2].flatten())\n", "axs[3].hist(samples[:,:,3].flatten())\n", "axs[4].hist(samples[:,:,4].flatten())" ] }, { "cell_type": "markdown", "id": "taken-fleece", "metadata": {}, "source": [ "Point-estimates as posterior means" ] }, { "cell_type": "code", "execution_count": 18, "id": "vital-straight", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[56.37520191743268,\n", " 1.0503864262348088,\n", " 2.538147509649323,\n", " 19.93596074984672,\n", " 0.9243823377670042]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bpe = []\n", "for i in range(5):\n", " bpe.append(np.mean(samples[:,:,i].flatten()))\n", "bpe" ] }, { "cell_type": "markdown", "id": "frank-pension", "metadata": {}, "source": [ "Plot MCMC fit" ] }, { "cell_type": "code", "execution_count": 19, "id": "grave-dream", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fb,fc1,fc2,fa0,fsig = bpe\n", "x=np.linspace(0,60,61)\n", "y=f(x,fb,fc1,fc2,fa0)\n", "x2=data['phase angle (deg)']\n", "y2=data['polarization (%)']\n", "plt.plot(x,y)\n", "plt.scatter(x2,y2,color='green')\n", "plt.axhline(0,color='gray')" ] } ], "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": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 5 }