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November 4, 2016 01:37
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lmfit, emcee, line fit example
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Example: Fitting a Model to Data" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Example taken from http://dan.iel.fm/emcee/current/user/line/, and adapted from the code at: https://github.com/dfm/emcee/blob/master/examples/line.py" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"from lmfit import Parameter, Parameters, Minimizer\n", | |
"import corner\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as pl\n", | |
"from matplotlib.ticker import MaxNLocator\n", | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Reproducible results!\n", | |
"np.random.seed(123)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Choose the \"true\" parameters.\n", | |
"m_true = -0.9594\n", | |
"b_true = 4.294\n", | |
"f_true = 0.534" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def line(x, m, b):\n", | |
" return m * x + b" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# Generate some synthetic data from the model.\n", | |
"N = 50\n", | |
"x = np.sort(10*np.random.rand(N))\n", | |
"yerr = 0.1+0.5*np.random.rand(N)\n", | |
"y = line(x, m_true, b_true)\n", | |
"y += np.abs(f_true*y) * np.random.randn(N)\n", | |
"y += yerr * np.random.randn(N)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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QmVSwx+vv7zdOGu7s7DS6s2dkZMDr9WJkZAQpKSkYHx/HD37wA7z66qsAYhtS8bb8SxQo\nLkNKCGEBcBHAZwH0ANABPCOlbJ82jiGVhELpARjutnyzULhx4wbeffddfP3rX8fBgwcBAMePH8fB\ngwen/A0ATU1N2LFjx6xdLkJ9/vm+hng4JYFoungNqYcB1Eop909+fRiAnD6bYkgln1BmS+EulZl9\nuAfOTt544w14vV7cvn0b9+/fh8ViwdDQEJYsWYIHDx4AAFauXIlnn30Wjz76KBwOBzZs2BByYAU+\nP4B5zQZVPLmbMzwKRVRCSgjxLwCGALwP4C9Syo/mX6Lp438ZwD4p5aHJr78BoFpK+cNp4xhSSSaU\n407hhFS4H+5SSqOJ7fTzv5588knk5OQAANauXQtN06BpmrEhI5Tnf+WVV7B///6wj6up3iaLx9go\nmKg0mJVSPiOEKAbwMIAfCiE+C+AEgP8qpXwwv1Ln56WXXjJu8ze0xFdWVgabzYbm5maUlpbCZrMt\n6PHCbTQ7NDRk3E5NTTVmUtnZ2cjOzjb+282bN3Hq1CmcOnUK+fn5RmBN73Ix/fmFEPN6fZF+XyLJ\nv03f4/HEfHZHsRc4w56vUGZSfzM57oPJr78KoBnAv5JS/sOCnh3Gct9LUsqaya+53EeGuY69RHMm\n9fbbb+OJJ54AAFitVuPk4IGBAaPxbVNTE0ZGRkzvX1RUZLRlysrKMn1+AAlzTErFZUhSS7SW+/4L\nAC+AKgD3AVwDUAcgQ0r5h/mVOuXxUwB8hImNE70AnAD+Vkr54bRxDKkkNT2IFnL8I9QPd4/Hg0ce\neQStra0AJmYv/tuBtXi9XrS2thpdLrxer2n9/i4XxcXFMxrvznd5TLVlNdWXISn65vq3Ga2QsmEi\nkD4I+N53AXRKKc+G9QqCP0cNgF/g0y3oR03GMKSSVKQ/jEN5vMAPXGBiVvW5z30OQPAt6P4uFy6X\nC263G+Pj4zPGWCwW/PrXv8b777+PiooKLFu2LGG2oHMmRYHMfq7jcndfqBhSySsWIRX4gQsAhw8f\nxvnz5/HOO++gtrZ2zlC4f/8+Ghsboes6/vznP6O7uxs+nw9dXV3o7+/Hli1bIITAZz7zGdy4cQP7\n9++H1WpVImwWQsVlSFp8wX4OGFKUMKI5Ywg19Pz/0ABM2dkX7s/h4OAgfvnLX+LIkSMYGhqC1WpF\nWVkZLBaL0ZYpLS0NO3bsgKZpsNlssFrj96LZqi1D0uKabUbNkCIKQTgfov7znxba2T1w+TAlJQXf\n/e53jRr8Vxr2z7Q2btyI/Px8PP300/jWt75lbINXmcrLkLS4Zjs2yZAiCmK+H6Jmffzm89xnzpzB\n8ePHcfPmTaxduxYHDx6EpmlYsmQJdF1HV1eX0ZYpOzsbTz31FFJTU5GRkQG73Q6Hw4Hi4uJ5d7mI\nJgYUBeJMiijK6urq8Jvf/AZXrlzBlStXAETm8hwejwdutxs2m23KOr2UEidPnsSXvvQl+Hw+WCwW\nfPGLXzROFvZbuXIlHA4HNE0Lq8vFYuJSHwE8JkWUcAJ/+ywpKcHhw4fhdrtx79490/Fr1qwxThrO\ny8tb5GqDY0iRH3f3ESWY6b99nj17Fm+88QauXr2KDz74APn5+VM2W/jl5eUZJw2vXbs2hq+AIZXs\nYnKelCoYUpSoZvuHbbfbjRnW1q1b8fzzz6O9vT1ol4vCwkJUV1fDbrdj5cqVi/QKPsWQotkwpIgS\njNlOKbvdjtbWVrhcLjQ3N5t2uQCAzZs3w+FwwG63L8o5SzxHiubCkCJKMNN3Sh05cgROpxPAxKxr\n165d6Ovrw/Lly+H1eoN2uSgpKYGmaaioqMDy5cujXie7TZAZhhRRAppjp5Tx9fDwsNHlor293XTZ\nzWq1wmazQdM07NixA2lpaRGpMZp9+7jFPXEwpIgSSIgHoU3vOzg4iIaGBui6jo6ODtMxS5YsMbpc\nlJWVLajLxWLMpLicGP8YUkRJJNRNCnfu3IHL5YLL5cLVq1dNxyxbtgyVlZVwOBwoKSlBSkpK2PVE\nM0S4nJgYGFJESWK+gXDz5k24XC44nU709vaajlmxYgXsdrtxaZFwThqO1u4+XgYkMTCkiJJAJGYV\nUkr09PRA13Xouo7bt2+bjsvKyjK6XBQWFs4ZWNEKKc6kEgNDiigJRHpWIaXE1atXoes6XC4X7t69\nazpu9erVRpeLS5cumR4ve/nll6N2nhSPScU/hhRREojmrEJKiY6ODjidTjQ0NGBoaMh0XGCXi5yc\nnAVdymQu3N2XOBhSREliMWYV4+PjaG9vh8vlQkNDQ9AuF8eOHcM3vvEN5OXl4a9//StDhIJiSBEl\nkcVsQeT1euF2u6Hr+owuF8eOHcOhQ4cAAMXFxdA0DVVVVcYFI4n8GFJESWR6SC3Wstjo6CguXLgA\nXdfhdrvx6quvGiEVWJu/y0VlZWVUulwE4pJgfGBIESWR2WZSkZxlzXZ9rWeeeQb79+/Hz3/+c7S3\nt8Pn8824f0pKCmw2G6qrqyPa5SKwvsCAeuedd1BbW8uAUhBDiijBhTpjiNZS4PQrFQceGwOA+vp6\nuFwuXLp0yfT+qampKC8vh8PhQFlZGVJTU6NaH6mFIUVEAKIfUv5QCrbLcGBgAPX19XA6nUG7XCxd\nuhSVlZXQNG3eXS4C+QMTYEipiiFFRFHb+dfT04P8/HwAQHl5OV555RXs379/zvO1/F0udF1HT0+P\n6WOnp6dP6XJhsVjCqi1wWz4AdHd3K3XFYprAkCJKctE6h8rj8aCqqspoVpuamoo333wTP/rRj8J6\nrsAuF7du3TIdk5WVZQRWUVFRSG2Zzp8/j927dxuXKikuLkZDQwNP+lUMQ4ooyUWrx12wEAAwr1mb\nlBLXrl2D0+kMqcuFw+FAfn5+0MAyC1H291MPQ4ooyUVzJhVsOW2hx7/8XS5cLhfq6+vh8Xjg9Xpx\n584dZGdnG5srcnNzjT6COTk5Mx5n+nIk+/uphyFFRFE7JhVsY0IkN2mcPXsWr7/+On77299icHAQ\ny5Ytw9atW1FQUDDlGNOGDRuMGVZ2dvaUWgCwv5+iGFJEBCDyu/v8W99ffvllPPbYY1O2vj/++OMR\nfa7AJUur1Yof//jH8Hg8ePDgQdD7jIyMIC8vD+fPn+d5UgpjSBERgOhuQZ/+uJF+LrMlyyVLlqCl\npQW6rqO1tRVjY2OmtW3duhUvvvgihoaGkJ6eHrGaVOf/JWJ0dBSnT59GTU0N0tLSlAtqhhQRAYh8\nx4npJxAHdp6IZBuiwA/bM2fOYN++fTM+bIeHh9HU1ASXy4UPP/xwRpeLY8eO4fvf/z5sNhscDgfK\ny8uxdOnSedcUL+LhmlsMKaIkloz96zweDxobG/H6669D13VIKdHb24vc3FwAE5cUKSwsxI4dO6Bp\nWlS6XKgiHq5ezJAioqTl73Kh67ox05tu6dKlqKiogKZp2LZt24K7XKiEM6kYY0gR0WwCZ5JvvfUW\nioqK0NPTgxUrVph2n0hPT0dVVRU0TcPmzZvD7nKhklCWSVXAkCIiwtRjcj09PUZbpps3b5qOz8zM\nNM7B2rhxY0hdLih8DCkiIphvHPF3ufAH1sDAgOl9V61aZQRWQUEBAyuCGFJERJh7d6OUEh9//DF0\nXTe6XJhZt24dNE0L2uWCwsOQIiJCeFvwfT4fPvroI+i6jsbGRgwPD5uOW79+vdHlYtWqVZEsN6hE\n27HJkCIiwvzPExsbG0NbWxt0XUdzczNGR0dNx23atAmapsFut+Ohhx5aaLkhidYJ2ouJIUVESS+w\nd2F9ff28ZyKjo6NoaWmBy+VCS0vLrF0uHA4HqqqqotrlgiGlOIYUEc1ltnOFFvIh/8knn6C5uRlO\np9O0ywUAWCwWlJaWorq6OuJdLqLVNHixMaSIKKnN1nUhUjORoaEhNDQ0QNd1XLp0yfQxU1NTsX37\ndmiahu3bty+oy0U8nKQbKoYUESW1aM2kgrl7967R5eLy5cumY9LS0qZ0ubBarWE9Rzy0OwoVQ4qI\nkl6wpbFoH9O5ffu2cQ7W9evXTccsX77c6HKxZcuWkLpccCYVJx/8DCkiCtX0QFrsYzq9vb1wuVxw\nOp2zdrmw2+3QNA2bNm2a9aRhHpOKAwwpIgpVYEjFciYipURXVxd0XZ+1y0V2drZx0nCwLhfc3ac4\nhhQRhSrwA12VYzpSSnR2dhpdLgYHB03H5eTkGIG1bt064/sMKcUxpIgoFHV1dXj88cdRW1uLuro6\n7Ny5E8ePH0dfX58yx3R8Ph8uXrwIXdfR0NAQtMtFQUGB0eVizZo1DCmVMaSIKFT+WYf/b5WP6fi7\nXLhcLjQ1NU3pctHT04Oenh4AE9fL2rVrF/Ly8lBTU8O2SKphSBHRbKb3udu5cyeOHj2KU6dO4cCB\nA3GxXPbgwQO0trbC6XTO2uVi8+bN0DQNVVVVWLFiRQwqnR+GFBERzDdLZGZmKh9SgUZGRtDU1ARd\n19HW1jZrlwtN01BRURHRLhfRwJAiIoL5ZomdO3fGVUgFun//vtHl4uLFi6avw2q1TulysWTJkhhU\nOjuGFBERps6kcnJycPDgQZw/fz7uL3UBAPfu3TO6XHR2dpqOSUtLQ3l5OTRNQ2lpadhdLqKFIUVE\nNEnlzRKR0t/fb3S56OrqMh2zfPlyVFZWQtM0bN26NaQuF9HCkCKipJdoFwoMlb/Lha7r6OvrMx2T\nkZEBh8MRUpeLaGBIERHFmUiHqpQS169fh67rcLlc6O/vNx23cuVK4xysDRs2GIEVzZBnSBERxbFI\nb5OXUuLy5ctGYAXrcrF27Vqjy0Vubm7U6mFIERHFsWiey+XvcuFyuVBfXz9rlwuHw4Ft27Zh48aN\nET2mF3chJYSoBfBvAPjbBP9ESnk6yFiGFBEltMU64XhsbAzt7e1wOp0zulwAgNfrxYkTJ3Dnzh1s\n2rQJdXV1WL9+/YKfN15DyiOl/IcQxjKkiChhxWo3otfrRUtLC3RdR0tLC7xeL/r6+nDy5ElIKWGx\nWPDkk09i165d0DQNlZWV864vXkNqSEr59yGMZUgRUUJS5cKGIyMjaG5uxrlz53D06FH09/cjOzsb\nTz31FFJTUwFMdLnYtm2b0eVi2bJlIT9+vIbUswDuAXAB+JGU8l6QsQwpIkpIqlxOJNCNGzeQm5uL\nI0eO4OrVq0G7XJSVlUHTNOzYsWPOLhdKhpQQ4i0AOYHfAiAB/GcAHwC4LaWUQoj/BiBXSvlckMdh\nSBFRQlJlJjWd/xjZ4OCg0eXi448/Nh2blpaGHTt2QNM02Gw20y4XSoZUqIQQhQD+IKXcEeS/y9ra\nWuPrRD8xj4iSiyodMuY6TyqcLhf+Cz36z8F6+eWX4yukhBDrpJQ3Jm+/AECTUv5dkLGcSRFRQouH\ny4kE6uvrg67r0HUdN27cMB2TkZEBu90Oh8OBLVu2xF1I/ROACgA+AFcA/FsppWk/D4YUESW6eAsp\nPykluru7jcAK1uXi2LFj8RVS4WBIEVEiSrReg1JKXLlyxehyce/ep3vhGFJERKQMn8+Hjo4OOJ1O\nNDQ04Gc/+xlDioiI1DM+Pg6r1Rp2SMXuwiJERJQ0UlJS5nU/hhQRESmLIUVERMpiSBERkbIYUkRE\npCyGFBERKYshRUREymJIERGRshhSRESkLIYUEREpiyFFRETKYkgREZGyGFJERKQshhQRESnLGusC\niIgovkXzwo28nhQREUWEx+NBZmYmBgcHkZGRMeO/CyF4PSkiIlp8Ho8Hu3fvBgDs3r0bHo8nIo/L\nkCIiogVrbW2F2+0GALS1tRm3F4ohRUREC1ZWVgabzQYAKC0tNW4vFI9JERFRRETjmBRDioiIFiTU\n3X0MKSIiUhZ39xERUUJhSBERkbIYUkREpCyGFBERKYshRUREymJIERGRshhSRESkLIYUEREpiyFF\nRETKYkgREZGyGFJERKQshhQRESmLIUVERMpiSBERkbIYUkREpCyGFBERKYshRUREymJIERGRshhS\nRESkLIYUEREpiyFFRETKYkglmLq6uliXEBf4PoWG71No+D5FD0MqwfAfS2j4PoWG71No+D5FD0OK\niIiUxZAiIiJlCSllrGsIiRAiPgolIqKgpJQinPFxE1JERJR8uNxHRETKYkgREZGyGFJERKQs5UNK\nCFEjhGjv7awyAAAD30lEQVQXQlwUQvzHWNejKiFEgRDirBDCLYRoEUL8MNY1qUoIYRFCNAghTsa6\nFpUJIR4SQvxOCPHh5M/V38S6JhUJIV4QQrQKIS4IIf5ZCLEk1jWpQAjxmhCiTwhxIeB7K4UQfxJC\nfCSEOCOEeGiux1E6pIQQFgD/A8A+ADYAfyuEKIltVcoaA/CilNIGYCeAf8f3KqjnAbTFuog48AsA\nf5RSbgNQDuDDGNejHCFEHoD/AKBKSrkDgBXAM7GtShnHMfHZHegwgLellFsBnAXwn+Z6EKVDCkA1\ngEtSyqtSSi+AfwHwVIxrUpKU8oaUsmny9hAmPlDyY1uVeoQQBQAOAPhfsa5FZUKITAC7pZTHAUBK\nOSalHIxxWapKAZAuhLACWA6gJ8b1KEFK+R6AgWnffgrAP07e/kcAT8/1OKqHVD6AroCvr4MfvHMS\nQhQBqADw19hWoqSfAfgxAJ57MbuNAG4LIY5PLo0eE0Isi3VRqpFS9gD4ewDXAHQDuCulfDu2VSlt\nrZSyD5j4xRrA2rnuoHpIUZiEECsA/B7A85MzKpokhPgCgL7JGaeY/EPmrACqAPxSSlkFYBgTSzUU\nQAiRhYnZQSGAPAArhBB/F9uq4sqcvyyqHlLdADYEfF0w+T0yMbnc8HsA/0dKeSLW9SjoUQBPCiE6\nAbwO4HEhxD/FuCZVXQfQJaV0TX79e0yEFk31OQCdUso7UspxAP8PwCMxrkllfUKIHAAQQqwDcHOu\nO6geUjqAYiFE4eSOmWcAcEdWcP8bQJuU8hexLkRFUsqfSCk3SCk3YeJn6ayU8luxrktFk0syXUKI\nLZPf+iy42cTMNQAPCyGWCiEEJt4nbjD51PQVi5MAnp28/W0Ac/4ybY18TZEjpRwXQvx7AH/CRKC+\nJqXkD4AJIcSjAP41gBYhRCMmptE/kVKejm1lFMd+COCfhRCpADoBHIxxPcqRUjqFEL8H0AjAO/n3\nsdhWpQYhxP8FsBfAKiHENQC1AI4C+J0Q4jsArgL42pyPw959RESkKtWX+4iIKIkxpIiISFkMKSIi\nUhZDioiIlMWQIiIiZTGkiIhIWQwpIiJSFkOKiIiUxZAiIiJlKd0WiSjRCSFSAHwdwCZMXJamGsAr\nUsrLMS2MSBGcSRHFVjkmOox3YqIR5+8A9Ma0IiKFMKSIYkhK2SClfABgJ4B3pJR1UsqRWNdFpAqG\nFFEMCSE0IcQqADYp5WUhxO5Y10SkEh6TIoqtGgA3ALwvhHgawO0Y10OkFF6qg4iIlMXlPiIiUhZD\nioiIlMWQIiIiZTGkiIhIWQwpIiJSFkOKiIiUxZAiIiJl/X+NaJmwUxrsqQAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x116df91d0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"xl = np.array([0, 10])\n", | |
"pl.errorbar(x, y, yerr=yerr, fmt=\".k\")\n", | |
"pl.plot(xl, line(xl, m_true, b_true), \"k\", lw=3, alpha=0.6)\n", | |
"pl.ylim(-9, 9)\n", | |
"pl.xlabel(\"$x$\")\n", | |
"pl.ylabel(\"$y$\")\n", | |
"pl.tight_layout()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Least-squares results:\n", | |
" m = -1.1040757010910938 ± 0.016229892552329803 (truth: -0.9594)\n", | |
" b = 5.440555250231947 ± 0.09090827914304525 (truth: 4.294)\n", | |
"\n" | |
] | |
} | |
], | |
"source": [ | |
"# Do the least-squares fit and compute the uncertainties.\n", | |
"A = np.vstack((np.ones_like(x), x)).T\n", | |
"C = np.diag(yerr * yerr)\n", | |
"cov = np.linalg.inv(np.dot(A.T, np.linalg.solve(C, A)))\n", | |
"b_ls, m_ls = np.dot(cov, np.dot(A.T, np.linalg.solve(C, y)))\n", | |
"print(\"\"\"Least-squares results:\n", | |
" m = {0} ± {1} (truth: {2})\n", | |
" b = {3} ± {4} (truth: {5})\n", | |
"\"\"\".format(m_ls, np.sqrt(cov[1, 1]), m_true, b_ls, np.sqrt(cov[0, 0]), b_true))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x11997f3c8>]" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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ESkoKgJbN6GEKBpFeKtyT30KdLxyd23/4wx94/fXXWbVqFWfOnGHQoEFMmTKF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\nYBARkSAKBhERCfL/AfrHboD1S+1oAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1198c6f98>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Plot the least-squares result.\n", | |
"pl.errorbar(x, y, yerr=yerr, fmt=\".k\")\n", | |
"pl.plot(xl, line(xl, m_true, b_true), \"k\", lw=3, alpha=0.6)\n", | |
"pl.ylim(-9, 9)\n", | |
"pl.xlabel(\"$x$\")\n", | |
"pl.ylabel(\"$y$\")\n", | |
"pl.plot(xl, line(xl, m_ls, b_ls), \"--k\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def lnlike(theta):\n", | |
" m, b, lnf = theta['m'], theta['b'], theta['lnf']\n", | |
" model = line(x, m, b)\n", | |
" inv_sigma2 = 1.0 / (yerr**2 + model**2 * np.exp(2 * lnf))\n", | |
" return -0.5 * (np.sum((y - model)**2 * inv_sigma2 - np.log(inv_sigma2)))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"params = Parameters()\n", | |
"params.add(\"m\", m_true, True, -5, 0.5)\n", | |
"params.add(\"b\", b_true, True, 0, 10.)\n", | |
"params.add(\"lnf\", np.log(f_true), True, -10., 1.0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Maximum likelihood result:\n", | |
" m = -1.0030087752384897 (truth: -0.9594)\n", | |
" b = 4.528315614382648 (truth: 4.294)\n", | |
" f = 0.45364478116469964 (truth: 0.534)\n", | |
"\n" | |
] | |
} | |
], | |
"source": [ | |
"# Find the maximum likelihood value.\n", | |
"chi2 = lambda *args: -2 * lnlike(*args)\n", | |
"# have to setup Minimizer with chi2, because lnlike is a probability\n", | |
"mini = Minimizer(chi2, params)\n", | |
"res = mini.minimize('lbfgsb')\n", | |
"m_ml, b_ml, lnf_ml = res.params['m'].value, res.params['b'].value, res.params['lnf'].value\n", | |
"\n", | |
"print(\"\"\"Maximum likelihood result:\n", | |
" m = {0} (truth: {1})\n", | |
" b = {2} (truth: {3})\n", | |
" f = {4} (truth: {5})\n", | |
"\"\"\".format(m_ml, m_true, b_ml, b_true, np.exp(lnf_ml), f_true))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x119fa7278>]" | |
] | |
}, | |
"execution_count": 12, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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9618TGRlJUFCQU7pj5syZvPDCC0yePLnR2ySep2AQ8XLNUY7CWssXX3zBf/3X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\nIiIuCgYREXHx+mAwxsw2xnx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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11994b0b8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Plot the maximum likelihood result.\n", | |
"pl.errorbar(x, y, yerr=yerr, fmt=\".k\")\n", | |
"pl.plot(xl, line(xl, m_true, b_true), \"k\", lw=3, alpha=0.6)\n", | |
"pl.ylim(-9, 9)\n", | |
"pl.xlabel(\"$x$\")\n", | |
"pl.ylabel(\"$y$\")\n", | |
"pl.plot(xl, line(xl, m_ls, b_ls), \"--k\")\n", | |
"pl.plot(xl, m_ml*xl+b_ml, \"k\", lw=2)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"# Set up the sampler.\n", | |
"# Note, we're using lnlike here (a probability). If you tried to use mini.minimize\n", | |
"# with lnlike as the objective function then it'd fail.\n", | |
"mini2 = Minimizer(lnlike, res.params)\n", | |
"\n", | |
"# now run the sampler\n", | |
"res2 = mini2.emcee(steps=500)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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Oh4aGhorR4IPG/Pw8/H4/LBYL3njjDTidTnqO53lcvXoVHMfRxm/BYBDFYpGqbtYK2WwW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QgMQHuHh4fa2dnRysqKstmsTSR+8OCBUqmUZmZmFI1Gbbgi1TJcg/b2doPs8TkhkRgeHtbs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\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WCa0SespkMmm9a9hTsO3Dw8Pq6+tTX19fID0IY7y4uKhLly5ZlZm0338JJrZcLuvu3bs6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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1198c6c50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, axes = pl.subplots(3, 1, sharex=True, figsize=(8, 9))\n", | |
"axes[0].plot(res2.chain[:, :, 0].T, color=\"k\", alpha=0.4)\n", | |
"axes[0].yaxis.set_major_locator(MaxNLocator(5))\n", | |
"axes[0].axhline(m_true, color=\"#888888\", lw=2)\n", | |
"axes[0].set_ylabel(\"$m$\")\n", | |
"\n", | |
"axes[1].plot(res2.chain[:, :, 1].T, color=\"k\", alpha=0.4)\n", | |
"axes[1].yaxis.set_major_locator(MaxNLocator(5))\n", | |
"axes[1].axhline(b_true, color=\"#888888\", lw=2)\n", | |
"axes[1].set_ylabel(\"$b$\")\n", | |
"\n", | |
"axes[2].plot(np.exp(res2.chain[:, :, 2]).T, color=\"k\", alpha=0.4)\n", | |
"axes[2].yaxis.set_major_locator(MaxNLocator(5))\n", | |
"axes[2].axhline(f_true, color=\"#888888\", lw=2)\n", | |
"axes[2].set_ylabel(\"$f$\")\n", | |
"axes[2].set_xlabel(\"step number\")\n", | |
"\n", | |
"fig.tight_layout(h_pad=0.0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/Users/anz/miniconda3/envs/dev3/lib/python3.4/site-packages/numpy/lib/function_base.py:564: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", | |
" n = np.zeros(bins, ntype)\n", | |
"/Users/anz/miniconda3/envs/dev3/lib/python3.4/site-packages/numpy/lib/function_base.py:611: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", | |
" n += np.bincount(indices, weights=tmp_w, minlength=bins).astype(ntype)\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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t1NbWEh0djdvtxul0que2MHPmTO/97OzsNrPCYE1NDbNmzaKwsOmBSPv27cMYrXd0sJyc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3PvvfeOyar2er188sknREVFsWjRou+kZXDcuHF89tlndHV1jRpcSNi4cSNz584d9vq7777L9OnT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\nhPx/HlZvHL5zwkkAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1198b8d68>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Make the triangle plot.\n", | |
"burnin = 50\n", | |
"samples = res2.chain[:, burnin:, :].reshape((-1, 3))\n", | |
"\n", | |
"fig = corner.corner(samples, labels=[\"$m$\", \"$b$\", \"$\\ln\\,f$\"],\n", | |
" truths=[m_true, b_true, np.log(f_true)])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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EIuzdu5eHHnqIZDLJiRMnOH36NP86OYnvyBEGTp1i1+Iit7davMUw+H91necq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\nBYhAAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11c3b99e8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Plot some samples onto the data.\n", | |
"pl.figure()\n", | |
"for m, b, lnf in samples[np.random.randint(len(samples), size=100)]:\n", | |
" pl.plot(xl, line(xl, m, b), color=\"k\", alpha=0.1)\n", | |
"pl.plot(xl, line(xl, m_true, b_true), color=\"r\", lw=2, alpha=0.8)\n", | |
"pl.errorbar(x, y, yerr=yerr, fmt=\".k\")\n", | |
"pl.ylim(-9, 9)\n", | |
"pl.xlabel(\"$x$\")\n", | |
"pl.ylabel(\"$y$\")\n", | |
"pl.tight_layout()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"MCMC result:\n", | |
" m = -1.006169842436333 +0.07941010686513905 -0.07985895075466964 (truth: -0.9594)\n", | |
" b = 4.539284171174385 +0.3649476197626633 -0.3599776437008213 (truth: 4.294)\n", | |
" f = 0.4644825922072341 +0.08090261075589145 -0.062223627221956845 (truth: 0.534)\n", | |
"\n" | |
] | |
} | |
], | |
"source": [ | |
"# Compute the quantiles.\n", | |
"samples[:, 2] = np.exp(samples[:, 2])\n", | |
"m_mcmc, b_mcmc, f_mcmc = map(lambda v: (v[1], v[2]-v[1], v[1]-v[0]),\n", | |
" zip(*np.percentile(samples, [16, 50, 84],\n", | |
" axis=0)))\n", | |
"print(\"\"\"MCMC result:\n", | |
" m = {0[0]} +{0[1]} -{0[2]} (truth: {1})\n", | |
" b = {2[0]} +{2[1]} -{2[2]} (truth: {3})\n", | |
" f = {4[0]} +{4[1]} -{4[2]} (truth: {5})\n", | |
"\"\"\".format(m_mcmc, m_true, b_mcmc, b_true, f_mcmc, f_true))" | |
] | |
} | |
], | |
"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": "3.4.5" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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